Prime Numbers Wiki
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227 is a 3-digit prime number. 227 has 2 factors, 1 and 227. It is the 49th prime number, and the third prime number from 201-300.

Proofs[]

  • — 227 is divisible by 1.
  • — 227 is not divisible by 2-226.
  • — 227 is divisible by 227.

Therefore, 227 is a prime number.

As an Exponent of Mersenne Number[]

2227 - 1 is divisible by 26,986,333,437,777,017, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 211 is the second previous prime number.
  • 213 is a composite number. Its prime factorization is 3 × 71.
  • 215 is also a composite number. Its prime factorization is 5 × 43.
  • 217 is another composite number. Its prime factorization is 7 × 31.
  • 219 is yet another composite number. Its prime factorization is 3 × 73.
  • 221 is yet another composite number. Its prime factorization is 13 × 17.
  • 223 is the prime number preceding 227.
    • The difference between 227 and 223 is 4. Therefore, they are cousin primes.
  • 225 is a composite number. It is a square number, equal to 152.

The numbers after[]

  • 229 is the odd number and prime number following 227.
    • The difference between 229 and 227 is 2. Therefore, they are twin primes.
  • 231 is a composite number. Its prime factorization is 3 × 7 × 11.
    • Notably, 231 is a sphenic number since it has exactly three prime factors.
  • 233 is the prime number following 229.
    • The difference between 233 and 227 is 6. Therefore, they are sexy primes.

Trivia[]

  • 227 is the smallest member of the prime triplet (227, 229, 233).
  • 227 is a safe prime, since is also prime.

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