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|next = [[127|<font color="white">127</font>]]}}113 is a [[1-100|prime number from 1-100]]. 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. |
|next = [[127|<font color="white">127</font>]]}}113 is a [[1-100|prime number from 1-100]]. 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. |
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==Proofs== |
==Proofs== |
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Revision as of 11:46, 3 December 2013
113 is a prime number from 1-100. 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.
Proofs
- 113 is divisible by 1.
- It is not divisible by 2 ~ 112.
- 113 can be divided by itself
- Thefore it has 2 factors.
Relationship with other odd numbers
The numbers before
- 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 after
- The next prime number is 127. It features a large gap of 14 numbers. All numbers between are composite.
- Among 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.