# 257

From Number

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## Summary

### Factorization

The number 257 is a prime number.

### Properties and families

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

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 | divide and check | |

Fermat number | , i.e., | 3, 5, 17, 257, 65537, 4294967297 View list on OEIS |
plug and check |

Fermat prime (Fermat number that is also a prime number) | , i.e., | 3, 5, 17, 257, 65537, 4294967297 View list on OEIS |
follows from being both a Fermat number and prime number |