# mutually coprime

Natural numbers^{} ${a}_{1},{a}_{2},\mathrm{\dots},{a}_{n}$ are called *mutually coprime* if there is no $p\in \mathbb{N}$, $p>1$ with $p|{a}_{i}$ for all $i\le n$. By this definition for example $15$, $21$ and $25$ would be mutually coprime though they are not *pairwise coprime*, because that would that each pair of these numbers is coprime^{}.

Title | mutually coprime |
---|---|

Canonical name | MutuallyCoprime |

Date of creation | 2013-03-22 14:18:07 |

Last modified on | 2013-03-22 14:18:07 |

Owner | mathwizard (128) |

Last modified by | mathwizard (128) |

Numerical id | 5 |

Author | mathwizard (128) |

Entry type | Definition |

Classification | msc 11-00 |

Defines | pairwise coprime |