Prime Numbers Wiki
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127 is a prime number from 101-200. 127 has 2 factors, 1 and 127. It is the 31st prime number, and the sixth prime number from 101-200. It is the 4th Mersenne Prime, being 27 - 1 = 127, the second Double Mersenne Prime and smallest Triple Mersenne Prime (both facts since 7 is a Double Mersenne Prime).

Proofs

  • 1 can divide 127, just like all other positive integers.
  • 2 cannot divide 127 because it is not even.
  • 3 cannot
  • 5 cannot
  • 7 cannot
  • 11 cannot
  • ......127 can!

Relationship with other odd numbers

The numbers before

  • The previous prime number is 113. It features a huge gap, as 113 and 127 are fourteen numbers apart.
  • Among the odd composite numbers between them:
    • 117 and 123 are divisible by 3.
    • 115 and 125 are divisible by 5.
    • 119 is divisible by 7.
    • 121 is divisible by 11. In addition, it is a square number.

The numbers after

  • The next prime number is 131.
    • 127 and 131 are four numbers apart; therefore, they are cousin primes.
  • 137 is the next prime number after 131.
    • In particular, 133 is divisible by 7, therefore not a prime number.

Usage

Film

  • 127 hours, a film based on true story.
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