# Stern prime

If for a given prime number^{} $q$ there is no smaller prime $p$ and nonzero integer $b$ such that $q=2{b}^{2}+p$, then $q$ is a *Stern prime*. These primes were first studied by Moritz Abraham Stern, in connection to a lesser known conjecture of Goldbach’s. Like other mathematicians of the time, Stern considered 1 to be a prime number. Thus his list of Stern primes read thus: 2, 17, 137, 227, 977, 1187, 1493. A century later the list has been amended to include 3 (as in A042978 of Sloane’s OEIS) but no terms larger than 1493 have been found. The larger of a twin prime^{} is not a Stern prime.

Title | Stern prime |
---|---|

Canonical name | SternPrime |

Date of creation | 2013-03-22 16:19:10 |

Last modified on | 2013-03-22 16:19:10 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 4 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 11N05 |