| Next prime | 4517 |
| Previous prime | 4507 |
| Octal | (10641)8 |
| Hexadecimal | (11A1)16 |
| Prime gap | 4 |
| 75th Prime triplet (the smallest number) | The others are 4517 and 4519 . |
| 113th Cousin prime (the small number) | The big number is 4517 . |
| 222nd Sexy prime (the small number) | The big number is 4519 . |
| 300th Prime of the Form 3n+1 | 252 + 3 * 362 |
| 302nd Prime of the Form 4n+1 | 472 + 482 |