Palindromic prime

A palindromical prime number is a prime number that reads the same when reversed.

Palindromical prime numbers include:

2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 16061, 16361, 16561, 16661, 17471, 17971, 18181, 18481, 19391, 19891, and 19991.

Out of the above list, 2 is the only number that is not an odd number. Almost all palindromic numbers are composite, for any base.

11 is the only palindromic prime with an even number of digits because all palindromic numbers with an even number of digits can be divided by 11, which means they are not primes.

The palindromic prime numbers have an infinite number, one of them can be created based on Smarandache function,Palindromes in Some Smarandache-Type Functions,
Hary Gunarto, S.M.S. Islam and A.A.K. Majumdar, Jurnal Matematika MANTIK Vol. 8, No. 1, June 2022, pp.1-9. and,See Caldwell, Prime Curios! (CreateSpace, 2009) p. 251, quoted in  etc. The known biggest palindromic prime so far is

101888529 - 10944264 - 1.
with 1,888,529 digits, found on 18 October 2021 by Propper and Batalov.Chris Caldwell, The Top Twenty: Palindrome

 References 

Related pages
 Palindrome
 List of prime numbers

Category:Classes of prime numbers