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Fair Value Measurements and Disclosures - Summary of Financial Assets Measured at Fair Value on NonRecurring Basis (Parenthetical) (Detail)	12 Months Ended
	Dec. 31, 2024 USD ($)
Fair Value Disclosures [Abstract]
Amount of net credit losses charged off	$ 197,000

X

- Definition

Amount of net credit losses charged off.

+ References

No definition available.

+ Details

Name:	bprn_AmountOfBankChargedOff
Namespace Prefix:	bprn_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_FairValueDisclosuresAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration