# palindromic prime

A prime number^{} $p$ that in a given base $b$ is also a palindromic number^{}. Although there are infinitely many palindromic numbers in any given base, it is not known if the same is true of palindromic primes^{}.

If $b+1$ is prime, then it is the only palindromic prime in base $b$ to have an even number^{} of digits; all other palindromes^{} with an even number of digits will be multiples^{} of $b+1$.

Title | palindromic prime |
---|---|

Canonical name | PalindromicPrime |

Date of creation | 2013-03-22 15:55:30 |

Last modified on | 2013-03-22 15:55:30 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 5 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 11A63 |