# Wilson’s theorem

Wilson’s theorem states that

$$(p-1)!\equiv -1\phantom{\rule{veryverythickmathspace}{0ex}}(modp)$$ |

iff $p$ is prime (note that it must be positive).

Title | Wilson’s theorem |
---|---|

Canonical name | WilsonsTheorem |

Date of creation | 2013-03-22 11:42:24 |

Last modified on | 2013-03-22 11:42:24 |

Owner | CWoo (3771) |

Last modified by | CWoo (3771) |

Numerical id | 33 |

Author | CWoo (3771) |

Entry type | Theorem |

Classification | msc 11A25 |

Classification | msc 37-01 |

Classification | msc 11-00 |

Synonym | Wilson-Lagrange theorem |

Related topic | RuizIdentity |

Related topic | PolynomialCongruence |