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- Zeisel_number abstract "A Zeisel number, named after Helmut Zeisel, is a square-free integer k with at least three prime factors which fall into the patternwhere a and b are some integer constants and x is the index number of each prime factor in the factorization, sorted from lowest to highest. For the purpose of determining Zeisel numbers, . The first few Zeisel numbers are105, 1419, 1729, 1885, 4505, 5719, 15387, 24211, 25085, 27559, 31929, 54205, 59081, 114985, 207177, 208681, 233569, 287979, 294409, 336611, 353977, 448585, 507579, 982513, 1012121, 1073305, 1242709, 1485609, 2089257, 2263811, 2953711, … (sequence A051015 in OEIS).To give an example, 1729 is a Zeisel number with the constants a = 1 and b = 6, its factors being 7, 13 and 19, falling into the pattern1729 is an example for Carmichael numbers of the kind , which satisfies the pattern with a= 1 and b = 6n, so that every Carmichael number of the form (6n+1)(12n+1)(18n+1) is a Zeisel number.Other Carmichael numbers of that kind are: 294409, 56052361, 118901521, 172947529, 216821881, 228842209, 1299963601, 2301745249, 9624742921, …The name Zeisel numbers was probably introduced by Kevin Brown, who was looking for numbers that when plugged into the equation yield prime numbers. In a posting to the newsgroup sci.math on 1994-02-24, Helmut Zeisel pointed out that 1885 is one such number. Later it was discovered (by Kevin Brown?) that 1885 additionally has prime factors with the relationship described above, so a name like Brown-Zeisel Numbers might be more appropriate.Hardy Ramanujan's number 1729 is also a Zeisel number.".
- Zeisel_number wikiPageExternalLink kmath015.htm.
- Zeisel_number wikiPageID "730470".
- Zeisel_number wikiPageRevisionID "587267601".
- Zeisel_number hasPhotoCollection Zeisel_number.
- Zeisel_number title "Zeisel Number".
- Zeisel_number urlname "ZeiselNumber".
- Zeisel_number subject Category:Integer_sequences.
- Zeisel_number type Abstraction100002137.
- Zeisel_number type Arrangement107938773.
- Zeisel_number type Group100031264.
- Zeisel_number type IntegerSequences.
- Zeisel_number type Ordering108456993.
- Zeisel_number type Sequence108459252.
- Zeisel_number type Series108457976.
- Zeisel_number comment "A Zeisel number, named after Helmut Zeisel, is a square-free integer k with at least three prime factors which fall into the patternwhere a and b are some integer constants and x is the index number of each prime factor in the factorization, sorted from lowest to highest. For the purpose of determining Zeisel numbers, .".
- Zeisel_number label "Nombre de Zeisel".
- Zeisel_number label "Numero di Zeisel".
- Zeisel_number label "Zeisel number".
- Zeisel_number label "ツァイゼル数".
- Zeisel_number label "邹赛尔数".
- Zeisel_number sameAs Nombre_de_Zeisel.
- Zeisel_number sameAs Numero_di_Zeisel.
- Zeisel_number sameAs ツァイゼル数.
- Zeisel_number sameAs m.036dxd.
- Zeisel_number sameAs Q2334637.
- Zeisel_number sameAs Q2334637.
- Zeisel_number sameAs Zeisel_number.
- Zeisel_number wasDerivedFrom Zeisel_number?oldid=587267601.
- Zeisel_number isPrimaryTopicOf Zeisel_number.