| Next prime | 6679 |
| Previous prime | 6661 |
| Octal | (15021)8 |
| Hexadecimal | (1A11)16 |
| Prime gap | 6 |
| 307th Sexy prime (the small number) | The big number is 6679 . |
| 425th Prime of the Form 3n+1 | 792 + 3 * 122 |
| 424th Prime of the Form 4n+1 | 522 + 632 |
| 120th Left-truncatable prime |