Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Palindromic_prime> ?p ?o }
Showing triples 1 to 82 of
82
with 100 triples per page.
- Palindromic_prime abstract "A palindromic prime (sometimes called a palprime) 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:2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, … (sequence A002385 in OEIS) 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 March 2014 is (320,237 digits):10320236 + 10160118 + (137×10160119 + 731×10159275) × (10843 − 1)/999 + 1.It was found in 2014 by David Broadhurst. The previous record was 10314727 − 8×10157363 − 1, found by Darren Bedwell in 2013. On the other hand, it is known that, for any base, almost all palindromic numbers are composite, i.e. the ratio between palindromic composites and all palindromes below n tends to 1.In binary, the palindromic primes include the Mersenne primes and the Fermat primes. All binary palindromic primes except binary 11 (decimal 3) 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 (in binary):11, 101, 111, 10001, 11111, 1001001, 1101011, 1111111, 100000001, 100111001, 110111011, ... (sequence A117697 in OEIS)The palindromic primes in base 12 are2, 3, 5, 7, Ɛ, 11, 111, 131, 141, 171, 181, 1Ɛ1, 535, 545, 565, 575, 585, 5Ɛ5, 727, 737, 747, 767, 797, Ɛ1Ɛ, Ɛ2Ɛ, Ɛ6Ɛ, ...Due to the superstitious significance of the numbers it contains, the palindromic prime 1000000000000066600000000000001 is known as Belphegor's Prime, named after Belphegor, one of the seven princes of Hell. Belphegor's Prime consists of the number 666, on either side enclosed by thirteen zeroes and a one. Belphegor's Prime is an example of a beastly palindromic prime in which a prime p is palindromic with 666 in the center. Another beastly palindromic prime is 700666007.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 + 4661664×105652 + 1, which has q = 11311 digits, and 11311 has r = 5 digits. The first (base-10) 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.".
- Palindromic_prime wikiPageID "424723".
- Palindromic_prime wikiPageLength "4535".
- Palindromic_prime wikiPageOutDegree "36".
- Palindromic_prime wikiPageRevisionID "681322202".
- Palindromic_prime wikiPageWikiLink 101_(number).
- Palindromic_prime wikiPageWikiLink 11_(number).
- Palindromic_prime wikiPageWikiLink 131_(number).
- Palindromic_prime wikiPageWikiLink 13_(number).
- Palindromic_prime wikiPageWikiLink 151_(number).
- Palindromic_prime wikiPageWikiLink 2_(number).
- Palindromic_prime wikiPageWikiLink 3_(number).
- Palindromic_prime wikiPageWikiLink 5_(number).
- Palindromic_prime wikiPageWikiLink 666_(number).
- Palindromic_prime wikiPageWikiLink 7_(number).
- Palindromic_prime wikiPageWikiLink Almost_all.
- Palindromic_prime wikiPageWikiLink Belphegor.
- Palindromic_prime wikiPageWikiLink Belphegors_Prime.
- Palindromic_prime wikiPageWikiLink Belphegors_prime.
- Palindromic_prime wikiPageWikiLink Binary_number.
- Palindromic_prime wikiPageWikiLink Binary_numeral_system.
- Palindromic_prime wikiPageWikiLink Category:Base-dependent_integer_sequences.
- Palindromic_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Palindromic_prime wikiPageWikiLink Category:Palindromes.
- Palindromic_prime wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Palindromic_prime wikiPageWikiLink Decimal.
- Palindromic_prime wikiPageWikiLink Divisibility_rule.
- Palindromic_prime wikiPageWikiLink Divisibility_test.
- Palindromic_prime wikiPageWikiLink Duodecimal.
- Palindromic_prime wikiPageWikiLink Fermat_number.
- Palindromic_prime wikiPageWikiLink Fermat_prime.
- Palindromic_prime wikiPageWikiLink Hell.
- Palindromic_prime wikiPageWikiLink Mersenne_prime.
- Palindromic_prime wikiPageWikiLink Palindromic_number.
- Palindromic_prime wikiPageWikiLink Prime_number.
- Palindromic_prime wikiPageWikiLink Radix.
- Palindromic_prime wikiPageWikiLink Superstition.
- Palindromic_prime wikiPageWikiLink Thirteen.
- Palindromic_prime wikiPageWikiLinkText "Palindromic prime".
- Palindromic_prime wikiPageWikiLinkText "palindromic prime".
- Palindromic_prime wikiPageWikiLinkText "palindromic".
- Palindromic_prime conNumber "Infinite".
- Palindromic_prime firstTerms "235711101131151".
- Palindromic_prime hasPhotoCollection Palindromic_prime.
- Palindromic_prime largestKnownTerm "10320236".
- Palindromic_prime oeis "A002385".
- Palindromic_prime wikiPageUsesTemplate Template:As_of.
- Palindromic_prime wikiPageUsesTemplate Template:E.
- Palindromic_prime wikiPageUsesTemplate Template:Infobox_integer_sequence.
- Palindromic_prime wikiPageUsesTemplate Template:OEIS.
- Palindromic_prime wikiPageUsesTemplate Template:Prime_number_classes.
- Palindromic_prime wikiPageUsesTemplate Template:Reflist.
- Palindromic_prime subject Category:Base-dependent_integer_sequences.
- Palindromic_prime subject Category:Classes_of_prime_numbers.
- Palindromic_prime subject Category:Palindromes.
- Palindromic_prime subject Category:Unsolved_problems_in_mathematics.
- Palindromic_prime hypernym Number.
- Palindromic_prime type Article.
- Palindromic_prime type Article.
- Palindromic_prime type Class.
- Palindromic_prime comment "A palindromic prime (sometimes called a palprime) 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.".
- Palindromic_prime label "Palindromic prime".
- Palindromic_prime sameAs প্যালিন্ড্রোমীয়_মৌলিক_সংখ্যা.
- Palindromic_prime sameAs Palindromprimtal.
- Palindromic_prime sameAs Primzahlpalindrom.
- Palindromic_prime sameAs Palindromialkuluku.
- Palindromic_prime sameAs Nombre_premier_palindrome.
- Palindromic_prime sameAs Primo_palindromo.
- Palindromic_prime sameAs 回文素数.
- Palindromic_prime sameAs 회문_소수.
- Palindromic_prime sameAs Palindromprimtall.
- Palindromic_prime sameAs Número_primo_palíndromo.
- Palindromic_prime sameAs m.026x1r.
- Palindromic_prime sameAs Palindromic_prime.
- Palindromic_prime sameAs Palindromno_praštevilo.
- Palindromic_prime sameAs Palindromprimtal.
- Palindromic_prime sameAs Số_nguyên_tố_Palindrome.
- Palindromic_prime sameAs Q1196843.
- Palindromic_prime sameAs Q1196843.
- Palindromic_prime sameAs 回文素数.
- Palindromic_prime wasDerivedFrom Palindromic_prime?oldid=681322202.
- Palindromic_prime isPrimaryTopicOf Palindromic_prime.