# emirp

An emirp is a prime number^{} that in a given base $b$ reads like a different prime number backwards. The plural of emirp is emirps, but semirp is occasionally used by amateurs.

For example, in base 10, the number 37 read backwards is 73, both of these are prime. The backwards number must be different. A006567 of Sloaneās OEIS lists the first fifty base 10 emirps.

A palindromic prime^{} is not an emirp, since it reads the same number both ways. Thus, in binary, Mersenne primes^{} can not be emirps.

Title | emirp |
---|---|

Canonical name | Emirp |

Date of creation | 2013-03-22 17:06:54 |

Last modified on | 2013-03-22 17:06:54 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 4 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 11A41 |

Classification | msc 11A63 |

Defines | semirp |