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317 is a prime number from 301-400. 317 has 2 factors, 1 and 317. It is the 66th prime number, and the fourth prime number from 301-400.

Proofs

  • Yes — 317 can be divided by 1.
  • No — 317 cannot be divided by 2-316.
  • Yes — 317 can be divided by 317.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 313.
    • 313 and 317 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 313 is 311.
    • 311 and 317 are six numbers apart; therefore, they are sexy primes.

The numbers after

  • The next prime number is 331. It is a large prime gap of fourteen numbers.
    • The numbers between are composite. Specifically, 319 is the product of 11 and 29; 323 is the product of 17 and 19; 329 is the product of 7 and 47.
  • 337 is the next prime number after 331.