What does palindromic prime mean?
Definitions for palindromic prime
palin·dromic prime
This dictionary definitions page includes all the possible meanings, example usage and translations of the word palindromic prime.
Wiktionary
palindromic primenoun
A prime number that is also palindromic, its digits read backwards are the same as read forward.
Wikidata
Palindromic prime
A palindromic prime is a prime number that is also a palindromic number. Palindromicity depends on the base of the numbering system and its writing conventions, while primality is independent of such concerns. The first few decimal palindromic primes are: Except for 11, all palindromic primes have an odd number of digits, because the divisibility test for 11 tells us that every palindromic number with an even number of digits is a multiple of 11. It is not known if there are infinitely many palindromic primes in base 10. The largest known as of January 2013 is 10314727 - 8×10^157363 - 1, found by Harvey Dubner. On the other hand, it is known that, for any base, almost all palindromic numbers are composite. In binary, the palindromic primes include the Mersenne primes and the Fermat primes. All binary palindromic primes except binary 11 have an odd number of digits; those palindromes with an even number of digits are divisible by 3. The sequence of binary palindromic primes begins: Ribenboim defines a triply palindromic prime as a prime p for which: p is a palindromic prime with q digits, where q is a palindromic prime with r digits, where r is also a palindromic prime. For example, p = 1011310 + 4661664×10^5,652 + 1, which has q = 11311 digits, and 11311 has r = 5 digits. The first triply palindromic prime is the 11-digit 10000500001. It's possible that a triply palindromic prime in base 10 may also be palindromic in another base, such as base 2, but it would be highly remarkable if it were also a triply palindromic prime in that base as well.
Numerology
Chaldean Numerology
The numerical value of palindromic prime in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of palindromic prime in Pythagorean Numerology is: 4
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"palindromic prime." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/palindromic+prime>.
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