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233 is a prime number from 201-300. 233 has 2 factors, 1 and 233. It is the 51st prime number, and the fifth prime number from 201-300.

ProofsEdit

  • Yes — 233 can be divided by 1.
  • No — 233 cannot be divided by 2-232.
  • Yes — 233 can be divided by 233.


As an Exponent of Mersenne NumberEdit

2233 - 1 is divisible by numbers such as 1,399135,607, and 622,577, and is therefore not a prime number.

Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous prime number is 229.
    • Notably, 231 is divisible by 11 and therefore not a prime number.
    • 229 and 233 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 229 is 227.
    • 227 and 233 are six numbers apart; therefore, they are sexy primes.

The numbers afterEdit

  • The next prime number is 239.
    • 233 and 239 are six numbers apart; therefore, they are sexy primes.
  • 241 is the next prime number after 239.

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