palindromic prime (another Prime Pages' Glossary entries)
 Glossary: Prime Pages: Top 5000: The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. 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, TetradicRelated pages (outside of this work) Top 20 palindromic primes Selected palidromic primes with more than 1000 digits Palindromic prime ZIP CodesReferences: DO94 H. Dubner and R. Ondrejka, "A PRIMEr on palindromes," J. Recreational Math., 26:4 (1994) 256--267. GC1969 H. Gabai and D. Coogan, "On palindromes and palindromic primes," Math. Mag., 42 (1969) 252--254.  MR0253979 HC2000 G. L. Honaker, Jr. and C. Caldwell, "Palindromic prime pyramids," J. Recreational Math., 30:3 (1999-2000) 169--176. (Annotation available) Iseki1988 Iséki, Kiyoshi, "Palindromic prime numbers from experimental number theory," Math. Japon., 33:5 (1988) 715--720.  MR 972382 Iseki1988b Iséki, Kiyoshi, "Palindromic prime numbers," Math. Japon., 33:6 (1988) 861--862.  MR 975864 Iseki1988c Iséki, Kiyoshi, "Palindromic prime numbers from experimental number theory. II," Math. Japon., 33:6 (1988) 863--872.  MR 975865 McDaniel87b W. McDaniel, "Palindromic Smith numbers," J. Recreational Math., 19:1 (1987) 34--37. Ribenboim95 P. Ribenboim, The new book of prime number records, 3rd edition, Springer-Verlag, New York, NY, 1995.  pp. xxiv+541, ISBN 0-387-94457-5. MR 96k:11112 [An excellent resource for those with some college mathematics. Basically a Guinness Book of World Records for primes with much of the relevant mathematics. The extensive bibliography is seventy-five pages.] Chris K. Caldwell © 1999-2014 (all rights reserved)