# nontotient

An integer $n>0$ is called a nontotient^{} if ${N}_{\varphi}(n)=0$, where ${N}_{\varphi}$ is the totient valence function^{}. This is the case of any odd integer greater than 1. This is also the case of twice a prime that isn’t a Sophie Germain prime^{}, one more than a prime, an oblong number that is the product of a prime and one more or less than that prime, etc.

Sloane’s OEIS lists even values in A005277 and all values together in A007617.

Title | nontotient |
---|---|

Canonical name | Nontotient |

Date of creation | 2013-03-22 15:51:20 |

Last modified on | 2013-03-22 15:51:20 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 6 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 11A25 |

Related topic | Noncototient^{} |