palindromic prime
(another Prime Pages' Glossary entries)
The Prime Glossary
Glossary: Prime Pages: Top 5000: A palindromic prime is simply a prime which is a palindrome.  Obviously this depends on the base in which the number is written (for example, Mersenne primes are palindromic base 2).  When no radix is indicated, we assume the radix is 10.

In base ten a palindrome with an even number of digits is divisible by 11.  So 11 is the only palindromic prime with an even number of digits.

As an example of palindromic primes, here is a pyramid (list) of palindromic primes supplied by G. L. Honaker, Jr.

2
30203
133020331
1713302033171
12171330203317121
151217133020331712151
1815121713302033171215181
16181512171330203317121518161
331618151217133020331712151816133
9333161815121713302033171215181613339
11933316181512171330203317121518161333911

See Also: Strobogrammatic, Tetradic

Related pages (outside of this work)

References:

DO94
H. Dubner and R. Ondrejka, "A PRIMEr on palindromes," J. Recreational Math., 26:4 (1994) 256--267.


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