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113 is a prime number from 101-200. 113 is prime because it only has 2 factors, 1 and 113. It is the 30th prime number, and the fifth prime number between 101 to 200.

ProofsEdit

  • Yes — 113 can be divided by 1.
  • No — 113 cannot be divided by 2-112.
  • Yes — 113 can be divided by 113.


As an Exponent of Mersenne NumberEdit

2113 - 1 is divisible by numbers such as 3,391, 23,279, and 65,993, and is therefore not a prime number.

​Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous odd number, 111, is not a prime number. It can be factorized into 3 x 37.
  • The odd number previous to 111 is 109. 109 is a prime number.
    • 109 and 113 are four numbers apart; therefore, they are cousin primes.
  • The odd number previous to 109 is 107. 107 is a prime number.
    • 107 and 113 are six numbers apart; therefore, they are sexy primes.

The numbers afterEdit

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

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