# 113

From Number

This article is about a particular natural number.|View all articles on particular natural numbers

## Summary

### Factorization

The number 113 is a prime number.

### Properties and families

Property or family | Parameter values | First few numbers | Proof of satisfaction/membership/containment |
---|---|---|---|

prime number | It is the 30th prime number | 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, [SHOW MORE]View list on OEIS | A natural number is prime if and only if is not divisible by any prime less than or equal to . Since is between 10 and 11, verifying primality only requires us to check that the number is not divisible by any prime up to 10, i.e., any of the primes 2, 3, 5 and 7. |

regular prime | 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, [SHOW MORE]View list on OEIS | ||

Proth prime: prime of the form with | 3, 5, 13, 17, 41, 97, 113, [SHOW MORE]View list on OEIS |