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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Financial Asset, Equal to or Greater than 90 Days Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablesEqualToGreaterThan90DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">90 Days Or More Past Due [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeSecuritiesByTaxableStatusAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities&#160;available-for-sale:</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss, Writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesWriteOffs_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Three, Originated, Two Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 and 2023</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less than 12 Months Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair value due in one year or less</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage-Backed Securities, Issued by Private Enterprises [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Portfolio Segment [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unrealized losses securities more than 12 months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">More than 12 Months Unrealized Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Financing Receivable [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableAmountPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Amount Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableAmountPerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends payable, amount per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USGovernmentAgenciesDebtSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">US Government Agencies Debt Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USGovernmentAgenciesDebtSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. government agency securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">2030</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalReserveBankStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted investment in bank stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalReserveBankStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted investments in bank stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-09, Valuation Allowances and Reserves Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Segment Reporting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedAmortizationOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accumulated amortization operating lease right of use asset.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedAmortizationOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Amortization Operating Lease Right of Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedAmortizationOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedDeficitRetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accumulated Deficit Retained Earnings.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedDeficitRetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Deficit Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccumulatedDeficitRetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivable Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShortTermDebtTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Short-Term Debt [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noninterest-Bearing Deposit Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-interest-bearing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Five, Originated, Four Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2022 and 2021</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockValueAcquiredCostMethod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Value, Acquired, Cost Method</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockValueAcquiredCostMethod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Treasury stock repurchases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Acquiree [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatutoryActAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statutory Act [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatutoryActAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Statutory Act.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reclassification, Comparability Adjustment [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reclassifications</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivables60To89DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Asset, 60 to 89 Days Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivables60To89DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">60 to 89 Days Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Description of organization and summary of significant accounting policies [Table].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description Of Organization And Summary Of Significant Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSoldDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost, Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSoldDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation and amortization of premises and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL LIABILITIES AND STOCKHOLDERS' EQUITY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss, Recovery</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesRecovery_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recoveries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noninterest Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL&#160;NON-INTEREST&#160;INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Percentage of Voting Interests Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of outstanding common stock acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage servicing rights at fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Servicing Rights At Fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage servicing rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of activity relating to amount due from related party table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Activity Relating To Amount Due From Related Party [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivables30To59DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Asset, 30 to 59 Days Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivables30To59DaysPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">30 to 59 Days Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RevolvingWriteOffDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revolving write off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RevolvingWriteOffDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Write Off [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Goodwill, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Goodwill, Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value assets measured on nonrecurring basis line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assets Measured On Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDeferredLoanOriginationFeesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Deferred Loan Origination Fees, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDeferredLoanOriginationFeesNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accretion of net deferred loan fees and costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Amortization expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year 10</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized cost due after ten years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherExpenseFromRealEstatePartnershipOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Expense from Real Estate Partnership Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherExpenseFromRealEstatePartnershipOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Paid-in&#160;capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Description of organization and summary of significant accounting policies [Line Items].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description Of Organization And Summary Of Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Available for sale securities amortized cost and debt maturities fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Available For Sale Securities Amortized Cost and Debt Maturities Fair Value [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable performance and credit quality indicators.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Performance and Credit Quality Indicators [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Dividend Reinvestment Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend reinvestment plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonperformingFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonperforming Financial Instruments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonperformingFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Nonperforming Financial Instruments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Useful Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible assets amortized year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allowance For Loan Losses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allowance for loan losses:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage-Backed Securities, Issued by US Government Sponsored Enterprises [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Mortgage-backed securities - U.S. Government Sponsored Enterprises (GSEs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage-backed securities - U.S. government sponsored enterprise (GSEs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GoodwillAndIntangibleAssetsDisclosureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Goodwill and intangible assets disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GoodwillAndIntangibleAssetsDisclosureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill And Intangible Assets Disclosure [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsMoneyMarketDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of deposits money market deposits.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsMoneyMarketDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Deposits Money Market Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsMoneyMarketDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Money market percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of earnings per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SpecialMentionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Special Mention [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SpecialMentionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Special Mention [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk and Uncertainties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic earnings per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earnings per common share-basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basic earnings per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentInFederalHomeLoanBankStockFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment in Federal Home Loan Bank Stock, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentInFederalHomeLoanBankStockFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted investments in bank stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableModificationsRecordedInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Troubled Debt Restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableModificationsRecordedInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Troubled debt restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Revolving, Converted to Term Loan, Writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current period gross charge-offs Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRevolvingConvertedToTermLoanWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Current period gross charge-offs Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Adjustments to reconcile net income to net cash provided by operating activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment for Acquisition, Loan and Lease, Held-for-Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payment for Acquisition, Loan and Lease, Held-for-Investment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Decrease in loans, net of repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Decrease in loans, net of repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date of Record</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends payable, date of record</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EquityMethodInvestmentsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Equity method investments at fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EquityMethodInvestmentsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments At Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EquityMethodInvestmentsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity method investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestAndDividendsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Interest and Dividends Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestAndDividendsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Decrease in accrued interest receivable and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">STOCKHOLDERS' EQUITY:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperatingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Dividend Income, Operating [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperatingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">INTEREST AND DIVIDEND INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Decrease in accrued interest payable and other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesTypeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposit Liabilities, Type [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesTypeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of components of deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retained earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivablesNonAccrualStatusTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Nonaccrual [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivablesNonAccrualStatusTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of nonaccrual loans by segment of loan portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperationsCommencedDate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operations Commenced Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperationsCommencedDate1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operations commencement date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmountOfBankChargedOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of net credit losses charged off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmountOfBankChargedOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amount Of Bank Charged Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AmountOfBankChargedOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount of net credit losses charged off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDividends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDividends_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cash dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoanFeesIncludingPrepaymentPenalties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan fees including prepayment penalties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoanFeesIncludingPrepaymentPenalties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Fees Including Prepayment Penalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoanFeesIncludingPrepaymentPenalties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan fees, including prepayment penalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted, Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Dilutive effect on common shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeSecuritiesTaxable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income, Securities, Operating, Taxable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeSecuritiesTaxable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Taxable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">OCI, Debt Securities, Available-for-Sale, Unrealized Holding Gain (Loss), before Adjustment and Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized gains (losses) arising during period on securities available-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIABILITIES AND STOCKHOLDERS' EQUITY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET CASH PROVIDED BY OPERATING ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstandardMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Substandard [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstandardMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Substandard [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableNonaccrualNoAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Nonaccrual, No Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableNonaccrualNoAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total nonaccrual loans without a related allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale, Loan and Lease, Held-for-Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansAndLeasesHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Proceeds from Sale, Loan and Lease, Held-for-Investment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfNonInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of non interest bearing deposit liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfNonInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Non Interest Bearing Deposit Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfNonInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Demand, non-interest-bearing checking percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAvailableForSaleSecuritiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketableSecuritiesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketable Securities [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Improvements to Income Tax Disclosures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsumerPortfolioSegmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consumer Portfolio Segment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsumerPortfolioSegmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Home equity/consumer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromFederalReserveBankStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for (Proceeds from) Federal Reserve Bank Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromFederalReserveBankStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of restricted bank stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill and Intangible Assets Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill and Core Deposit Intangible</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balance Sheet Location [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Type [Axis]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnNonrecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary Of Financial Assets Measured At Fair Value On NonRecurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net book value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Loss Position</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Originated, More than Five Years before Current Fiscal Year, Writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedMoreThanFiveYearsBeforeCurrentFiscalYearWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current period gross charge-offs Prior</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Debt Securities, Available-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of&#160;available-for-sale&#160;securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes Paid, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Income taxes paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of carrying values and estimated fair values of financial instruments line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Carrying Values And Estimated Fair Values Of Financial Instruments [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of time deposits other.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Time Deposits Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time deposits other percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of amortized cost and estimated fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments, Debt and Equity Securities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestBearingDepositsInBanks_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest-Bearing Deposits in Banks and Other Financial Institutions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestBearingDepositsInBanks_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest-earning bank balances</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GrossCarryingAmountOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross Carrying Amount Operating Lease Right of Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GrossCarryingAmountOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross carrying amount beginning of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ShareRedemptionForTaxWitholdingOnRestrictedStockVesting_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share redemption for tax witholding on restricted stock vesting.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ShareRedemptionForTaxWitholdingOnRestrictedStockVesting_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Redemption for Tax Witholding on Restricted Stock Vesting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ShareRedemptionForTaxWitholdingOnRestrictedStockVesting_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Share redemption for tax withholding on restricted stock vesting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET DECREASE IN CASH AND CASH EQUIVALENTS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedInvestmentIncomeReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Investment Income Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedInvestmentIncomeReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares excluded</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock par or stated value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfAdoptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total other comprehensive income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIABILITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Credit Quality Indicator [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Amortized cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities available-for-sale at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities available-for-sale, at fair value (amortized cost $173,093 and $189,924 at March 31, 2026 and December 31, 2025, respectively)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Securities available-for-sale, at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncomeAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noninterest Income [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncomeAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NON-INTEREST&#160;INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock issued during the period stock options exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowElementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Elements [Abstract]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivables [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentPerformanceStatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument Performance Status [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">COMPREHENSIVE INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RisksAndUncertaintiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Risks and Uncertainties [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfLoansModifiedFinancingReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of loans modified financing receivable.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Interest Receivable, Net</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Credit Assessment [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable measurement input.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans Receivable Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfessionalFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Professional Fees</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock options exercised</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ResidentialFirstLienMortgageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Residential first-lien mortgage member.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Fair Value</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Operating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL INTEREST EXPENSE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DebtSecuritiesAvailableForSaleAndHeldToMaturityUnrealizedLossPositionNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt securities available for sale and held to maturity unrealized loss position number of positions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DebtSecuritiesAvailableForSaleAndHeldToMaturityUnrealizedLossPositionNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities Available For Sale And Held To Maturity Unrealized Loss Position Number Of Positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DebtSecuritiesAvailableForSaleAndHeldToMaturityUnrealizedLossPositionNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of investment securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), after Provision for Loan Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET INTEREST INCOME AFTER PROVISION FOR (REVERSAL OF) CREDIT LOSSES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfPresentationAndSignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Presentation and Significant Accounting Policies [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfPresentationAndSignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Summary of Significant Accounting Policies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale of Debt Securities, Available-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maturities, calls and principal repayments of securities available-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatutoryActDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Statutory Act.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatutoryActDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statutory Act [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AOCI Attributable to Parent [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Other Comprehensive Loss [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Major Class Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Common, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury share common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInRightOfUseLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease in Right of Use Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInRightOfUseLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in right of use leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInRightOfUseLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase in ROU leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock, no par value; 2,000,000 shares authorized and none outstanding at March 31, 2026 and at December 31, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Status.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Status [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Two, Originated, Fiscal Year before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 and 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Amortization of core deposit intangible</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsNonrecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Nonrecurring [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary Of Financial Assets Measured At Fair Value On Recurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableNonaccrualTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Nonaccrual [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Loss Position, Fair Value [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of fair value of related securities available-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accounts, Notes, Loans and Financing Receivable [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of loans receivable net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">INTEREST EXPENSE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of activity relating to amount due from related party line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Activity Relating To Amount Due From Related Party [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment, Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesTax_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financial assets fair value disclosure abstract.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Assets Fair Value Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Assets: (Fair Value)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-09, Valuation Allowances and Reserves [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Available for sale securities amortized cost and debt maturities fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Available For Sale Securities Amortized Cost and Debt Maturities Fair Value [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of securities available-for-sale by contractual maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Present value of net future lease payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financial liabilities abstract.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Liabilities (Carrying Amount)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCarryingBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Carrying Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCarryingBasis_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Treasury stock, at cost; 278,176 shares at March 31, 2026 and 276,676 shares at December 31, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Dividend Income, Operating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL INTEREST AND DIVIDEND INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Originated, More than Five Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prior</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET INTEREST INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RevolvingWriteOffAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revolving write off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RevolvingWriteOffAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Write Off [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestment90DaysPastDueAndStillAccruing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, 90 Days or More Past Due, Still Accruing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestment90DaysPastDueAndStillAccruing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable more than 90 days and accruing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsMoneyMarketDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits, Money Market Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsMoneyMarketDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Money market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average number of common shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewJerseyStateCharteredBankingInstitutionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New Jersey state chartered banking institution [Member].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewJerseyStateCharteredBankingInstitutionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Jersey State Chartered Banking Institution [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewJerseyStateCharteredBankingInstitutionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">New Jersey State Chartered Banking Institution [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CornerstoneBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cornerstone Bank [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CornerstoneBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cornerstone Bank [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CornerstoneBankMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cornerstone Bank Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer, Accumulated Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer, Accumulated Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPayableCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPayableCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPayableCurrentAndNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accrued interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans Receivable, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Loans receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel12And3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1, Level 2, and Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">APIC, Share-Based Payment Arrangement, Increase for Cost Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL STOCKHOLDERS' EQUITY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basis of Financial Statement Presentation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity method investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss, Period Increase (Decrease)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision (reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Estimates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Credit Assessment [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Common [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Allowance for credit losses - loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CollateralDependentLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collateral dependent loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CollateralDependentLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateral dependent loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CollateralDependentLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collateral dependent loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair Value Measurements and Disclosures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableBeforeAllowanceForCreditLossByOriginationYearAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, before Allowance for Credit Loss, by Origination Year [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, Date of Incorporation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Entity incorporation date of incorporation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable performance and credit quality indicators.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Performance and Credit Quality Indicators [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsAndFederalFundsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, and Federal Funds Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsAndFederalFundsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsAndFederalFundsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LesseeOperatingLeaseRightOfUseAndLeaseLiabilitiesDisclosureTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lessee, Operating Lease, Right of Use and Lease Liabilities Disclosure [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LesseeOperatingLeaseRightOfUseAndLeaseLiabilitiesDisclosureTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Right of Use and Lease Liabilities Disclosure [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LesseeOperatingLeaseRightOfUseAndLeaseLiabilitiesDisclosureTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of operating leases of lessee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year 10</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value due after ten years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year One, Originated, Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026 and 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollateralAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateral Held [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndDueFromBanks_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Due from Banks</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndDueFromBanks_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and due from banks</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableAllowanceForCreditLossAndOffBalanceSheet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable allowance for credit loss and off balance sheet.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableAllowanceForCreditLossAndOffBalanceSheet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Allowance For Credit Loss And Off Balance Sheet</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableAllowanceForCreditLossAndOffBalanceSheet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesAndLoansReceivableGrossCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, before Allowance for Credit Loss, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesAndLoansReceivableGrossCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GoodwillAndIntangibleAssetsDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Goodwill and intangible assets disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_GoodwillAndIntangibleAssetsDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill And Intangible Assets Disclosure [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noninterest Expense [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NON-INTEREST&#160;EXPENSE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">INCOME BEFORE INCOME TAX EXPENSE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsSavingsDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits, Savings Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsSavingsDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Savings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Net Asset (Liability)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value, net asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities available-for-sale at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage servicing rights at carrying value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Servicing Rights At Carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MortgageServicingRightsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage servicing rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">CASH AND CASH EQUIVALENTS, END OF PERIOD</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">CASH AND CASH EQUIVALENTS, BEGINNING OF PERIOD</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CoreDepositsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Core Deposits [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_FederalHomeLoanBankAdvancesBranchOfFHLBBankAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Federal Home Loan Bank Branch [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfProbabilityOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of probability of fair value of reporting unit including goodwill.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfProbabilityOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Probability Of Fair Value Of Reporting Unit Including Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfProbabilityOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of probability of fair value of reporting unit including goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">OCI, Debt Securities, Available-for-Sale, Gain (Loss), after Adjustment, before Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net unrealized gain (loss) income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other comprehensive income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Realized Gain (Loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Securities, Available-for-Sale, Realized Gain (Loss), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">(Loss) gain on sale of securities available-for-sale, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on call/sale of securities available-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Asset, Aging [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net (decrease) in deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL LIABILITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentBankingAdvisoryBrokerageAndUnderwritingFeesAndCommissions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Banking, Advisory, Brokerage, and Underwriting Fees and Commissions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentBankingAdvisoryBrokerageAndUnderwritingFeesAndCommissions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fees and service charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Small business association securities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Small Business Association Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Small business association (SBA) securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Small business association (SBA) securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, 12 Months or Longer, Number of Positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of securities more than 12 months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average number of diluted common shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of carrying values and estimated fair values of financial instruments table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Carrying Values And Estimated Fair Values Of Financial Instruments [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Time Deposits Other.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Time Deposits Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDepositsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time deposits, other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketingAndAdvertisingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketing and Advertising Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketingAndAdvertisingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advertising and promotion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsSavingsDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of deposits savings deposits.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsSavingsDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Deposits Savings Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositsSavingsDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Savings percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInReserveForUnfundedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in reserve for unfunded liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInReserveForUnfundedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Reserve For Unfunded Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseDecreaseInReserveForUnfundedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase decrease in reserve for unfunded liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewLeaseOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New lease operating lease right of use asset.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewLeaseOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New lease Operating Lease Right of Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NewLeaseOperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increased asset from new leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandNonInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Demand, non-interest-bearing checking.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandNonInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Demand, non interest bearing checking</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandNonInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Demand, non-interest-bearing checking</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI for Sale of Securities, before Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Relcassification adjustment for losses (gains) realized in income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Relcassification adjustment for losses (gains) realized in income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablesPeriodPastDueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Asset, Aging [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesCollateralIssuedFinancialInstruments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposit Liabilities, Collateral Issued, Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesCollateralIssuedFinancialInstruments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities pledged as collateral</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">US Treasury Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. treasury securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USTreasurySecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">U.S. Treasuries [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EventDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Event domain.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EventDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Event [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Office</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnRecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value assets measured on recurring basis table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnRecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assets Measured On Recurring Basis [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateralized Mortgage-Backed Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageBackedSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage-backed securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issued during period, shares, Acquisition of Cornerstone Financial Corporation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Acquisitions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of fair value of reporting unit including goodwill.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Fair Value Of Reporting Unit Including Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfFairValueOfReportingUnitIncludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of fair value of reporting unit including goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Maturities, Prepayments and Calls of Held-to-Maturity Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfHeldToMaturitySecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maturities, calls and principal repayments of securities&#160;held-to-maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Core Deposit Intangible, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Core Deposit Intangible, Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Core deposit intangible</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Core deposit intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Recent Accounting Pronouncements Not Yet Adopted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of lessee operating lease liability maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Liabilities Fair Value Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Liabilities (Fair Value)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnings per share [Line items].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Held-to-Maturity, Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Held to maturity debt securities at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HeldToMaturitySecuritiesFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Securities held-to-maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivableTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivable [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Leases [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Repurchase of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchase of treasury stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MeasurementInputDiscountRateAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Measurement input discount rate adjustment member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MeasurementInputDiscountRateAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Discount Rate Adjustment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number Of Employees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Employees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of employees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_FederalHomeLoanBankAdvancesBranchOfFHLBBankStateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Federal Home Loan Bank Branch [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableNonaccrualStatusLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Nonaccrual [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAccruedInterestWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Accrued Interest, Writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAccruedInterestWriteoff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing receivable, accrued interest, writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accounts, Notes, Loans and Financing Receivable [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Time deposits 250000 or more.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Time Deposits 250000 Or More</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_TimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time deposits, $250,000 and over</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of interest bearing deposit liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Interest Bearing Deposit Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfInterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Demand, interest-bearing checking percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET INCOME</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued interest receivable fair value disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Interest Receivable Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePurchasedWithNonCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable purchased with non credit deterioration allowance for credit loss at acquisition date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePurchasedWithNonCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Purchased with Non Credit Deterioration Allowance for Credit Loss at Acquisition Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePurchasedWithNonCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchased non-credit deteriorated loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for amounts included in the measurement of lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLeaseAndOtherLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Loan, Lease, and Other Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLeaseAndOtherLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision for (reversal of) credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLeaseAndOtherLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASSETS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CornerstoneBankAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cornerstone bank acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CornerstoneBankAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cornerstone Bank Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Demand, interest-bearing checking.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Demand, interest bearing checking</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DemandInterestBearingChecking_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Demand, interest-bearing checking</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">CASH FLOWS FROM INVESTING ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ResidentialLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Residential Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments in Debt and Marketable Equity Securities (and Certain Trading Assets) Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsInDebtAndMarketableEquitySecuritiesAndCertainTradingAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average exercise price of options exercisable at the time of issuance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Exercise Price Of Options Exercisable At The Time Of Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsForChangeInAccountingPrincipleAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accounting Principle, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Stock Options Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from exercise of stock options</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Acquisitions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquisition of Cornerstone Financial Corporation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CommercialAndIndustrialMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commercial and industrial.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CommercialAndIndustrialMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercial And Industrial [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CommercialAndIndustrialMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial And Industrial [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeSecuritiesHeldToMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income, Debt Securities, Held-to-Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeSecuritiesHeldToMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities&#160;held-to-maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Loss Position, Fair Value [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_InvestmentSecuritiesOnNonaccrualStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment securities on nonaccrual status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_InvestmentSecuritiesOnNonaccrualStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Securities On Nonaccrual Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_InvestmentSecuritiesOnNonaccrualStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investment securities on nonaccrual status.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, after Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposit Liabilities Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepositLiabilitiesDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of time deposits 250000 or more.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Time Deposits 250000 Or More</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfTimeDeposits250000OrMore_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time deposits, $250,000 and over percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET CASH PROVIDED BY (USED IN) INVESTMENT ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PassMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pass [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PassMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pass [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year One Through Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized cost due after one year through five years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Securities, Available-for-Sale, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableIncludingDeferredFeesAndCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable including deferred fees and cost.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableIncludingDeferredFeesAndCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Including Deferred Fees and Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableIncludingDeferredFeesAndCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable, net of deferred fees and costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_LoansReceivableIncludingDeferredFeesAndCost_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year One Through Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">More than 12 Months Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair value due after one year through five years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsAdditionalDisclosuresAcquisitionCostExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Separately Recognized Transaction, Acquisition-Related Cost, Expensed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsAdditionalDisclosuresAcquisitionCostExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Merger-related expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfBranchesOwnedByTheEntity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of branches owned by the entity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfBranchesOwnedByTheEntity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Branches Owned By The Entity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfBranchesOwnedByTheEntity_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of branches owned by the entity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSbaSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Small Business Association (SBA) securities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_SmallBusinessAssociationSbaSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Small Business Association (SBA) securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ValuationTechniqueCollateralMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Valuation technique collateral member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ValuationTechniqueCollateralMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Technique Collateral [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NoahBankAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noah bank acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NoahBankAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noah Bank Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized cost due in one year or less</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, after Allowance for Credit Loss [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Finite-Lived Intangible Assets [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of carrying amount of goodwill and core deposit intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of allowance for credit losses on loans receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">CASH FLOWS FROM FINANCING ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseCurrentAndFiveSucceedingFiscalYearsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total future operating lease payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Amounts representing interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Portfolio Segment [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FiveBranchesAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Five branches acquired.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FiveBranchesAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Five Branches Acquired [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRevolving_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Revolving</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRevolving_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill and Intangible Assets Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoninterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noninterest Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoninterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CoreDepositIntangibleAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Core Deposit Intangible Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CoreDepositIntangibleAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Core deposit intangible amortization.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_CoreDepositIntangibleAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Core deposit intangible amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BankOwnedLifeInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Bank Owned Life Insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BankOwnedLifeInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bank-owned life insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Amortized Cost, Maturity, Allocated and Single Maturity Date, after Year 5 Through 10</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized cost due after five years through ten years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherInterestAndDividendIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Interest and Dividend Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherInterestAndDividendIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other interest and dividend income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loan receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TimeDepositsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposit Liability [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Comprehensive Income [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendPayableDateToBePaidDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date to be Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendPayableDateToBePaidDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends payable, date to be paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock, no par value; 15,000,000 shares authorized, 7,074,429 shares issued and 6,796,253 outstanding at March 31, 2026; 7,042,206 shares issued and 6,765,530 outstanding at December 31, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableCreditGradesAndRiskCharacteristicsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable credit grades and risk characteristics.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableCreditGradesAndRiskCharacteristicsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Credit Grades And Risk Characteristics [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableCreditGradesAndRiskCharacteristicsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of loans by year of origination, internally assigned credit grades and risk characteristics</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnRecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value assets measured on recurring basis line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FairValueAssetsMeasuredOnRecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assets Measured On Recurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableExcludedAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average exercise price of options exercisable excluded at the time of issuance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableExcludedAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Exercise Price Of Options Exercisable Excluded At The Time Of Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_WeightedAverageExercisePriceOfOptionsExercisableExcludedAtTheTimeOfIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average exercise price excluded</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllExchangeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">All exchange.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllExchangeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">All Exchange [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RestrictedStockValueSharesRedemptionNetOfTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restricted stock value shares redemption net of tax withholdings.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RestrictedStockValueSharesRedemptionNetOfTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Value Shares Redemption Net of Tax Withholdings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_RestrictedStockValueSharesRedemptionNetOfTaxWithholdings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share redemption for tax withholding on restricted stock vesting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BankOwnedLifeInsuranceIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Bank Owned Life Insurance Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BankOwnedLifeInsuranceIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income from bank-owned life insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketableSecuritiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketable Securities [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Finite-Lived Intangible Assets, Future Amortization Expense [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of future fiscal periods amortization for the core deposit intangible</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_OtherRealEstateOwnedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Other Real Estate Owned [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_OtherRealEstateOwnedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Real Estate Owned [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of deposit liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Deposit Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PercentageOfDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deposits percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePurchasedWithCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Purchased with Credit Deterioration, Allowance for Credit Loss at Acquisition Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePurchasedWithCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchased credit deteriorated loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets by Major Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MunicipalSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Municipal securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_MunicipalSecuritiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Municipal Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest-Bearing Deposit Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestBearingDepositLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest-bearing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Maturity, Allocated and Single Maturity Date, Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesAndLoansReceivableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts, Notes, Loans and Financing Receivable [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockSharesAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Shares, Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockSharesAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Treasury stock shares acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financial assets abstract.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancialAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Assets: (Carrying Amount)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">INCOME TAX EXPENSE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesGrossUnrealizedLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesGrossUnrealizedLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gross Unrealized Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffBalanceSheetCreditLossLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Off-Balance-Sheet, Credit Loss, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffBalanceSheetCreditLossLiability_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Allowance for credit losses - off balance sheet</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary Of Quantitative Information Using Level 3 Fair Value Measurements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">US States and Political Subdivisions Debt Securities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_USStatesAndPoliticalSubdivisionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Obligations of state and political subdivisions [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Other Comprehensive Income (Loss), Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated other comprehensive loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercial Real Estate Portfolio Segment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialRealEstatePortfolioSegmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial real estate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of premises and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfFullTimeEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of full time employees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_NumberOfFullTimeEmployees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of full time employees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt securities available for sale unrealized loss position fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities Available For Sale Unrealized Loss Position Fair Value [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">TOTAL ASSETS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PerformingFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performing Financial Instruments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PerformingFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performing [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PerformingFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Performing Financial Instruments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Financing Receivable [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockNoParValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, No Par Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ComponentsOfAllowanceForCreditLossesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Components of allowance for credit losses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ComponentsOfAllowanceForCreditLossesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components Of Allowance For Credit Losses [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ComponentsOfAllowanceForCreditLossesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of components of allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Deferred income (benefit) tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_WeightedAverageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease cost:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnings per share [Table].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_EarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Diluted earnings per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earnings per common share-diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Diluted earnings per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Nonaccrual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentNonaccrualStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PrepaymentOfObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepayment of obligation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_PrepaymentOfObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepayment of Obligation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Deposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Deposits_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Deposits_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Allowance for loan losses period increase decrease.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allowance for Loan Losses Period Increase Decrease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allowance for loan losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllowanceForLoanLossesPeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Increase (decrease) to allowance for credit lossed on loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialRealEstateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercial Real Estate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialRealEstateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial Real Estate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialAssetPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Asset, Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialAssetPastDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Past Due [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Fee Income, Loans and Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable, including fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialAndIndustrialSectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercial and Industrial Sector [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommercialAndIndustrialSectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial and industrial [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Interest Receivable Write Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued interest receivable write offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Write-offs of accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableNonaccrualWithAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable nonaccrual with allowance for credit loss.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableNonaccrualWithAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Nonaccrual With Allowance For Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivableNonaccrualWithAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total nonaccrual loans with a related allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ConsumerLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consumer Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_YearFounded_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year Founded</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_YearFounded_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Year of incorporation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average remaining lease terms for operating leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableUnamortizedLoanFeeCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Unamortized Loan Cost (Fee)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableUnamortizedLoanFeeCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred fees and costs, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total lease cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_BusinessAcquisitionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business acquisition price per share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_BusinessAcquisitionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_BusinessAcquisitionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business acquisition, price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable performance and credit quality indicators.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Performance and Credit Quality Indicators [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of performance and credit quality of loan portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Premises and equipment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeBenefitsAndShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefits and Share-Based Compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeBenefitsAndShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Salaries and employee benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalFundsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Federal Funds Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalFundsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due from Federal Reserve Bank</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllExchangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">All exchange.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AllExchangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">All Exchange [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncomeOtherOperatingIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noninterest Income, Other Operating Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestIncomeOtherOperatingIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less than 12 Months Unrealized Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of carrying values and estimated fair values of financial instruments table text block.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Carrying Values And Estimated Fair Values Of Financial Instruments Table Text Block</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary Of Carrying Amounts And Estimated Fair Value Of Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Discount Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite Lived Intangible Assets Amortization Expense After Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Finite lived intangible assets amortization expense after year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">NET CASH USED IN BY FINANCING ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollateralDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateral Held [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of lease cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Four, Originated, Three Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 and 2022</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Fair Value, Maturity, Allocated and Single Maturity Date, after Year 5 Through 10</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value due after five years through ten years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Status.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_StatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Status [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Available for sale securities amortized cost and debt maturities fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Available For Sale Securities Amortized Cost and Debt Maturities Fair Value [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestIncomeReceivableOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accrued interest receivable related to investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestIncomeReceivableOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued interest income receivable on investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestIncomeReceivableOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Interest Income Receivable on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_AccruedInterestIncomeReceivableOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment securities accrued interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FutureCashFlowMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Future cash flow.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FutureCashFlowMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Future Cash Flow [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_FutureCashFlowMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Future Cash Flow [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">CASH FLOWS FROM OPERATING ACTIVITIES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion (Amortization) of Discounts and Premiums, Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Amortization of premiums and accretion of discounts on securities, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Held-to-Maturity, Amortized Cost, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Securities held-to-maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesHeldToMaturityAmortizedCostAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Securities held-to-maturity (fair value $152 and $154 at March 31, 2026 and December 31, 2025, respectively)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseInCashSurrenderValueOfBankOwnedLifeInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase in cash surrender value of bank owned life insurance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseInCashSurrenderValueOfBankOwnedLifeInsurance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase In Cash Surrender Value Of Bank Owned Life Insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bprn_IncreaseInCashSurrenderValueOfBankOwnedLifeInsurance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Increase in cash surrender value of bank-owned life insurance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Dividends, Per Share, Declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock dividend declared per share paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommunicationsAndInformationTechnology_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Communications and Information Technology</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommunicationsAndInformationTechnology_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Data processing and communications</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Continuous Unrealized Loss Position, Less than 12 Months, Number of Positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsNumberOfPositions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of securities less than 12 months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OccupancyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Occupancy, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OccupancyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Occupancy and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments to Acquire Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesGrossUnrealizedGain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Securities, Available-for-Sale, Unrealized Gain</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesGrossUnrealizedGain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross Unrealized Gains</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Lease, Cost</link:label>
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  </xsd:annotation>
  <xsd:element id="bprn_FinancingReceivableNonaccrualWithAllowanceForCreditLoss" name="FinancingReceivableNonaccrualWithAllowanceForCreditLoss" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesTable" name="DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_PercentageOfTimeDeposits250000OrMore" name="PercentageOfTimeDeposits250000OrMore" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_PercentageOfFairValueOfReportingUnitIncludingGoodwill" name="PercentageOfFairValueOfReportingUnitIncludingGoodwill" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" name="FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_StatutoryActAxis" name="StatutoryActAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_PercentageOfDepositsMoneyMarketDeposits" name="PercentageOfDepositsMoneyMarketDeposits" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_EventDomain" name="EventDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ConsumerLoansMember" name="ConsumerLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FairValueAssetsMeasuredOnNonrecurringBasisLineItems" name="FairValueAssetsMeasuredOnNonrecurringBasisLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_DemandInterestBearingChecking" name="DemandInterestBearingChecking" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_AmortizationExpense" name="AmortizationExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_TimeDeposits250000OrMore" name="TimeDeposits250000OrMore" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyTable" name="ScheduleOfActivityRelatingToAmountDueFromRelatedPartyTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_TimeDepositsOther" name="TimeDepositsOther" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_NewJerseyStateCharteredBankingInstitutionMember" name="NewJerseyStateCharteredBankingInstitutionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AccruedInterestReceivableFairValueDisclosure" name="AccruedInterestReceivableFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_FinancingReceivablePurchasedWithNonCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate" name="FinancingReceivablePurchasedWithNonCreditDeteriorationAllowanceForCreditLossAtAcquisitionDate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_WeightedAverageExercisePriceOfOptionsExercisableAtTheTimeOfIssuance" name="WeightedAverageExercisePriceOfOptionsExercisableAtTheTimeOfIssuance" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_NumberOfLoansModifiedFinancingReceivable" name="NumberOfLoansModifiedFinancingReceivable" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_GrossCarryingAmountOperatingLeaseRightOfUseAsset" name="GrossCarryingAmountOperatingLeaseRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_ShareRedemptionForTaxWitholdingOnRestrictedStockVesting" name="ShareRedemptionForTaxWitholdingOnRestrictedStockVesting" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_ResidentialLoanMember" name="ResidentialLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_LoansReceivableMeasurementInput" name="LoansReceivableMeasurementInput" type="xbrli:decimalItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_FiveBranchesAcquiredMember" name="FiveBranchesAcquiredMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AccruedInterestIncomeReceivableOnInvestment" name="AccruedInterestIncomeReceivableOnInvestment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_StatutoryActDomain" name="StatutoryActDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_EarningsPerShareTable" name="EarningsPerShareTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AmountOfBankChargedOff" name="AmountOfBankChargedOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_FinancialAssetsFairValueDisclosureAbstract" name="FinancialAssetsFairValueDisclosureAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FairValueAssetsMeasuredOnNonrecurringBasisTable" name="FairValueAssetsMeasuredOnNonrecurringBasisTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_NumberOfEmployees" name="NumberOfEmployees" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_LoansReceivableIncludingDeferredFeesAndCost" name="LoansReceivableIncludingDeferredFeesAndCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_AllExchangeDomain" name="AllExchangeDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_NoahBankAcquisitionMember" name="NoahBankAcquisitionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ScheduleOfActivityRelatingToAmountDueFromRelatedPartyLineItems" name="ScheduleOfActivityRelatingToAmountDueFromRelatedPartyLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_PercentageOfTimeDepositsOther" name="PercentageOfTimeDepositsOther" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_AccumulatedDeficitRetainedEarningsMember" name="AccumulatedDeficitRetainedEarningsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_PercentageOfDepositsSavingsDeposits" name="PercentageOfDepositsSavingsDeposits" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_O2026Q2DividendsMember" name="O2026Q2DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsLineItems" name="FinancingReceivablePerformanceAndCreditQualityIndicatorsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ComponentsOfAllowanceForCreditLossesTableTextBlock" name="ComponentsOfAllowanceForCreditLossesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_LoanFeesIncludingPrepaymentPenalties" name="LoanFeesIncludingPrepaymentPenalties" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_DemandNonInterestBearingChecking" name="DemandNonInterestBearingChecking" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_MunicipalSecuritiesMember" name="MunicipalSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FutureCashFlowMember" name="FutureCashFlowMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsLineItems" name="ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ValuationTechniqueCollateralMember" name="ValuationTechniqueCollateralMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTable" name="ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FinancingReceivableCreditGradesAndRiskCharacteristicsTableTextBlock" name="FinancingReceivableCreditGradesAndRiskCharacteristicsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_PrepaymentOfObligationMember" name="PrepaymentOfObligationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_CollateralDependentLoanMember" name="CollateralDependentLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FairValueAssetsMeasuredOnRecurringBasisLineItems" name="FairValueAssetsMeasuredOnRecurringBasisLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AccumulatedAmortizationOperatingLeaseRightOfUseAsset" name="AccumulatedAmortizationOperatingLeaseRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_IncreaseInCashSurrenderValueOfBankOwnedLifeInsurance" name="IncreaseInCashSurrenderValueOfBankOwnedLifeInsurance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_MeasurementInputDiscountRateAdjustmentMember" name="MeasurementInputDiscountRateAdjustmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_NumberOfBranchesOwnedByTheEntity" name="NumberOfBranchesOwnedByTheEntity" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_EventAxis" name="EventAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_IncreaseDecreaseInRightOfUseLeases" name="IncreaseDecreaseInRightOfUseLeases" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_MortgageServicingsRightsMember" name="MortgageServicingsRightsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_EquityMethodInvestmentsAtFairValue" name="EquityMethodInvestmentsAtFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_PercentageOfInterestBearingDepositLiabilities" name="PercentageOfInterestBearingDepositLiabilities" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_RevolvingWriteOffAxis" name="RevolvingWriteOffAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueLineItems" name="AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_O2025Q4DividendsMember" name="O2025Q4DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_GoodwillAndIntangibleAssetsDisclosureTable" name="GoodwillAndIntangibleAssetsDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_MortgageServicingRightsAtFairValue" name="MortgageServicingRightsAtFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_NewLeaseOperatingLeaseRightOfUseAsset" name="NewLeaseOperatingLeaseRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_FinancialLiabilitiesAbstract" name="FinancialLiabilitiesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_WeightedAverageExercisePriceOfOptionsExercisableExcludedAtTheTimeOfIssuance" name="WeightedAverageExercisePriceOfOptionsExercisableExcludedAtTheTimeOfIssuance" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_RevolvingWriteOffDomain" name="RevolvingWriteOffDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_CoreDepositIntangibleAmortization" name="CoreDepositIntangibleAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_ResidentialFirstLienMortgageMember" name="ResidentialFirstLienMortgageMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_CornerstoneBankAcquisitionMember" name="CornerstoneBankAcquisitionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_BusinessAcquisitionPricePerShare" name="BusinessAcquisitionPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTable" name="FinancingReceivablePerformanceAndCreditQualityIndicatorsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTableTextBlock" name="ScheduleOfCarryingValuesAndEstimatedFairValuesOfFinancialInstrumentsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesLineItems" name="DescriptionOfOrganizationAndSummaryOfSignificantAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_RestrictedStockValueSharesRedemptionNetOfTaxWithholdings" name="RestrictedStockValueSharesRedemptionNetOfTaxWithholdings" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_CommercialAndIndustrialMember" name="CommercialAndIndustrialMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_StatusAxis" name="StatusAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTableTextBlock" name="AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_StatusDomain" name="StatusDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AllExchangeAxis" name="AllExchangeAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_CornerstoneBankMember" name="CornerstoneBankMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_GoodwillAndIntangibleAssetsDisclosureLineItems" name="GoodwillAndIntangibleAssetsDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AccruedInterestReceivableWriteOffs" name="AccruedInterestReceivableWriteOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_PercentageOfProbabilityOfFairValueOfReportingUnitIncludingGoodwill" name="PercentageOfProbabilityOfFairValueOfReportingUnitIncludingGoodwill" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_PercentageOfDepositLiabilities" name="PercentageOfDepositLiabilities" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_MortgageServicingRightsAtCarryingValue" name="MortgageServicingRightsAtCarryingValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_LesseeOperatingLeaseRightOfUseAndLeaseLiabilitiesDisclosureTableTextBlock" name="LesseeOperatingLeaseRightOfUseAndLeaseLiabilitiesDisclosureTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_FinancialAssetsAbstract" name="FinancialAssetsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_PercentageOfNonInterestBearingDepositLiabilities" name="PercentageOfNonInterestBearingDepositLiabilities" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_OtherRealEstateOwnedMember" name="OtherRealEstateOwnedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_SmallBusinessAssociationSbaSecuritiesMember" name="SmallBusinessAssociationSbaSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_AllowanceForLoanLossesAbstract" name="AllowanceForLoanLossesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_IncreaseDecreaseInReserveForUnfundedLiabilities" name="IncreaseDecreaseInReserveForUnfundedLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bprn_InvestmentSecuritiesOnNonaccrualStatus" name="InvestmentSecuritiesOnNonaccrualStatus" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_AllowanceForLoanLossesPeriodIncreaseDecrease" name="AllowanceForLoanLossesPeriodIncreaseDecrease" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bprn_FinancingReceivablePerformanceAndCreditQualityIndicatorsTableTextBlock" name="FinancingReceivablePerformanceAndCreditQualityIndicatorsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTable" name="AvailableForSaleSecuritiesAmortizedCostAndDebtMaturitiesFairValueTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_SmallBusinessAssociationSecuritiesMember" name="SmallBusinessAssociationSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_NumberOfFullTimeEmployees" name="NumberOfFullTimeEmployees" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bprn_EarningsPerShareLineItems" name="EarningsPerShareLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueLineItems" name="DebtSecuritiesAvailableForSaleUnrealizedLossPositionFairValueLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_DebtSecuritiesAvailableForSaleAndHeldToMaturityUnrealizedLossPositionNumberOfPositions" name="DebtSecuritiesAvailableForSaleAndHeldToMaturityUnrealizedLossPositionNumberOfPositions" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="bprn_FairValueAssetsMeasuredOnRecurringBasisTable" name="FairValueAssetsMeasuredOnRecurringBasisTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bprn_FinancingReceivableAllowanceForCreditLossAndOffBalanceSheet" name="FinancingReceivableAllowanceForCreditLossAndOffBalanceSheet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
</xsd:schema>
