examples of palindromic primes


The first few palindromic primesMathworldPlanetmath in base 10 are 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727 these are listed in A002385 of Sloane’s OEIS.

In binary, all Mersenne primesMathworldPlanetmath are also palindromic primes, and the same is true of Fermat primesMathworldPlanetmath. Some other binary palindromic primes are 73, 107, 313, 443, 1193, 1453, 1571, 1619, 1787, 1831, 1879.

In factorial base, the most significant digit dk of a palindromic numberMathworldPlanetmath has to be 1, thus a prime p must fall in the range k!<p<2k! or else it is not a palindromic prime in factorial base. The first few factorial base palindromic primes are 3, 7, 11, 41, 127, 139, 173, 179, 191, 751, 811.

Title examples of palindromic primes
Canonical name ExamplesOfPalindromicPrimes
Date of creation 2013-03-22 15:55:33
Last modified on 2013-03-22 15:55:33
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 6
Author PrimeFan (13766)
Entry type Example
Classification msc 11A63