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[parent] palindromic prime (Definition)

A prime number $ p$ that in a given base $ b$ is also a palindromic number. Although there are infinitely many palindromic numbers in any given base, it is not known if the same is true of palindromic primes.

If $ b + 1$ is prime, then it is the only palindromic prime in base $ b$ to have an even number of digits; all other palindromes with an even number of digits will be multiples of $ b + 1$.



"palindromic prime" is owned by PrimeFan. [ owner history (1) ]
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examples of palindromic primes (Example) by PrimeFan
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Cross-references: multiples, palindromes, digits, even number, palindromic number, base, prime number
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This is version 2 of palindromic prime, born on 2006-05-27, modified 2006-11-19.
Object id is 7932, canonical name is PalindromicPrime.
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AMS MSC: 11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems)
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