## You are here

Homeexamples of palindromic primes

## Primary tabs

# examples of palindromic primes

The first few palindromic primes 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 primes are also palindromic primes, and the same is true of Fermat primes. Some other binary palindromic primes are 73, 107, 313, 443, 1193, 1453, 1571, 1619, 1787, 1831, 1879.

In factorial base, the most significant digit $d_{k}$ of a palindromic number 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.

Major Section:

Reference

Type of Math Object:

Example

Parent:

## Mathematics Subject Classification

11A63*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections