# Carmichal number 561

561 is the smallest Carmichael number^{} in the ring of
integers^{}. However it is only a pseudoprime in the ring
of Gaussian integers^{}. We can use pari to find
the bases to which 561 is a pseudoprime. I
found it is pseudoprime to bases 12 + i, 22 +i,
33 + i and 44 + i. Needless to say it is a
pseudoprime to other bases too. More on this later.

Title | Carmichal number 561 |
---|---|

Canonical name | CarmichalNumber561 |

Date of creation | 2015-07-12 6:12:20 |

Last modified on | 2015-07-12 6:12:20 |

Owner | akdevaraj (13230) |

Last modified by | akdevaraj (13230) |

Numerical id | 1 |

Author | akdevaraj (13230) |

Entry type | Definition |