| Cover | Aug. 16, 2023 |
| Document Information [Line Items] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Aug. 16, 2023 |
| Entity File Number | 001-41394 |
| Entity Registrant Name | Prime Number Acquisition I Corp. |
| Entity Central Index Key | 0001858180 |
| Entity Tax Identification Number | 86-2378484 |
| Entity Incorporation, State or Country Code | DE |
| Entity Address, Address Line One | 1129 Northern Blvd |
| Entity Address, Address Line Two | Suite 404 |
| Entity Address, City or Town | Manhasset |
| Entity Address, State or Province | NY |
| Entity Address, Postal Zip Code | 11030 |
| City Area Code | 347 |
| Local Phone Number | 329-1575 |
| Written Communications | true |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Elected Not To Use the Extended Transition Period | false |
| Units, each consisting of one share of Class A Common Stock, on-half of one Warrant and one Right [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Units, each consisting of one share of Class A Common Stock, on-half of one Warrant and one Right |
| Trading Symbol | PNACU |
| Security Exchange Name | NASDAQ |
| Common Stock [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Class A Common Stock, par value $0.0001 per share |
| Trading Symbol | PNAC |
| Security Exchange Name | NASDAQ |
| Warrants, each whole warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50 [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Warrants, each whole warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50 |
| Trading Symbol | PNACW |
| Security Exchange Name | NASDAQ |
| Rights, each right exchangeable for on-eighth (1/8) of one share of Class A Common Stock at the closing of a business combination [Member] | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Rights, each right exchangeable for on-eighth (1/8) of one share of Class A Common Stock at the closing of a business combination |
| Trading Symbol | PNACR |
| Security Exchange Name | NASDAQ |
