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311 is a prime number from 301-400. 311 has 2 factors, 1 and 311. It is the 64th prime number, and the second prime number from 301-400.

Proofs

  • Yes — 311 can be divided by 1.
  • No — 311 cannot be divided by 2-310.
  • Yes — 311 can be divided by 311.


Relationship with other odd numbers

The numbers before

  • The previous prime number is 307.
    • 307 and 311 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 307 is 293. It is a large gap of fourteen numbers.
    • In particular, 299 is the product of 13 and 23. 301 is divisible by 7.

The numbers after

  • The next prime number is 313.
    • There are no odd numbers between 311 and 313. As a result, they are twin primes.
  • 317 is the next prime number after 313.
    • 311 and 317 are six numbers apart; therefore, they are sexy primes.

Trivia

  • 311 is the only prime number that is 308 away from two different prime numbers (3 and 619).