## Abstract

It is shown that odd integers k such that k · 2^{n} + 1 is prime for some positive integer n have a positive lower density. More generally, for any primes p_{1}, ..., p_{r}, the integers k such that k is relatively prime to each of p_{1},..., p_{r}, and such that k · p_{1}^{n1}p_{2}^{n2 } ... p_{r}^{nr} + 1 is prime for some n_{1},..., n_{r}, also have a positive lower density.

Original language | English (US) |
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Pages (from-to) | 257-263 |

Number of pages | 7 |

Journal | Journal of Number Theory |

Volume | 11 |

Issue number | 2 |

DOIs | |

State | Published - May 1979 |

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