263 is a 3-digit prime number. 263 has 2 factors, 1 and 263. It is the 56th prime number, and the tenth prime number from 201-300.
Proofs[]
Therefore, 263 is a prime number.
As an Exponent of Mersenne Number[]
2263 - 1 is divisible by 23,671, 13,572,264,529,177, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 257 is the prime number preceding 263.
- The difference between 263 and 257 is 6. Therefore, they are sexy primes.
- 259 is a composite number. Its prime factorization is 7 × 37.
- 261 is a composite number. Its prime factorization is 32 × 29.
The numbers after[]
- 265, the odd number following 263, is a composite number. Its prime factorization is 5 × 53.
- 267 is a composite number. Its prime factorization is 3 × 89.
- 269 is the prime number following 263.
- The difference between 269 and 263 is 6. Therefore, they are sexy primes.
Trivia[]
- 263 is a balanced prime, since it is equal to the arithmetic mean of the two primes surrounding it.
- 263 is a Chen prime, since 265 = 263 + 2 is a semiprime.
- 263 is a safe prime, since is also prime.
- 131 is its associated Sophie Germain prime.
- 263 is a happy prime:
- 22 + 62 + 32 = 49
- 42 + 92 = 97
- 92 + 72 = 130
- 12 + 32 + 02 = 10
- 12 + 02 = 1