# strobogrammatic prime

A strobogrammatic prime is a prime number^{} that, given a base and given a set of glyphs, is a strobogrammatic number (it appears the same whether viewed normally or upside down). In base 10, given a set of glyphs where 0, 1 and 8 are symmetrical around the horizontal axis, and 6 and 9 are the same as each other upside down, (such as on the seven-segment display of a calculator), the first few strobogrammatic primes are: 11, 101, 181, 619, 16091, 18181 (listed in A007597 of Sloane’s OEIS).

In binary, given a glyph for 1 consisting of a single line without hooks or serifs, all Mersenne primes^{} are strobogrammatic primes. Palindromic primes^{} in binary are also strobogrammatic.

In base 10, dihedral primes^{} that don’t use 2 or 5 are also strobogrammatic primes.

Title | strobogrammatic prime |
---|---|

Canonical name | StrobogrammaticPrime |

Date of creation | 2013-03-22 16:19:24 |

Last modified on | 2013-03-22 16:19:24 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 5 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 11A63 |