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257 is a prime number from 201-300. 257 has 2 factors, 1 and 257. It is the 55th prime number, and the ninth prime number from 201-300.

It is also the fourth Fermat number.

Proofs

  • Yes — 257 can be divided by 1.
  • No — 257 cannot be divided by 2-256.
  • Yes — 257 can be divided by 257.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 251.
    • In particular, 253 is divisible by 11 and 23.
    • 251 and 257 are six numbers apart; therefore, they are sexy primes.
  • The previous prime number before 251 is 241.

The numbers after

  • The next prime number is 263.
    • 259 is not a prime, because it is divisible by 7. 261 is divisible by 3.
    • 257 and 263 are six numbers apart; therefore, they are sexy primes.
  • 269 is the next prime number after 263.