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palindromic prime
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(Definition)
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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 $b + 1$
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"palindromic prime" is owned by PrimeFan. [ owner history (1) ]
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Cross-references: multiples, palindromes, digits, even number, palindromic number, base, prime number
There are 6 references to this entry.
This is version 2 of palindromic prime, born on 2006-05-27, modified 2006-11-19.
Object id is 7932, canonical name is PalindromicPrime.
Accessed 1288 times total.
Classification:
| AMS MSC: | 11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems) |
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Pending Errata and Addenda
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