| Next prime | 4157 |
| Previous prime | 4139 |
| Octal | (10071)8 |
| Hexadecimal | (1039)16 |
| Prime gap | 4 |
| 74th Prime triplet (the smallest number) | The others are 4157 and 4159 . |
| 111th Cousin prime (the small number) | The big number is 4157 . |
| 212th Sexy prime (the small number) | The big number is 4159 . |
| 281st Prime of the Form 3n+1 | 612 + 3 * 122 |
| 279th Prime of the Form 4n+1 | 432 + 482 |