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353 is a prime number from 301-400. 353 has 2 factors, 1 and 353. It is the 71st prime number, and the ninth prime number from 301-400.

353

Proofs

  • Yes — 353 can be divided by 1.
  • No — 353 cannot be divided by 2-352.
  • Yes — 353 can be divided by 353.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 349.
    • 349 and 353 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 349 is 347.
    • 347 and 353 are six numbers apart; therefore, they are sexy primes.

The numbers after

  • The next prime number is 359.
    • 353 and 359 are four numbers apart; therefore, they are sexy primes.
  • 367 is the next prime number after 359.
    • Notably, 361 is a square number, being 192 = 361.