263 (number)
263 is the natural number between 262 and 264. It is also a honaker prime number.
In mathematics
263 is the smallest prime number in base 10 whose expansion in any smaller base is never prime when interpreted in base 10:| Base | Expansion of 263 | Factorisation of expansion in base 10 |
| 2 | 1000001112 | 467 × 214133 |
| 3 | 1002023 | 2 × 50101 |
| 4 | 100134 | 17 × 19 × 31 |
| 5 | 20235 | 7 × 17 × 17 |
| 6 | 11156 | 5 × 223 |
| 7 | 5247 | 2 × 2 × 131 |
| 8 | 4078 | 11 × 37 |
| 9 | 3229 | 2 × 7 × 23 |
It is also:
- a balanced prime,
- an irregular prime,
- a Ramanujan prime,
- a Chen prime, and
- a safe prime.