An Entity of Type : yago:Series108457976, within Data Space : dbpedia.org associated with source document(s)

A Zeisel number, named after Helmut Zeisel, is a square-free integer k with at least three prime factors which fall into the pattern where 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 are 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 pattern 1729 is an example for Carmichael numbers of the kind , which satisfies the pattern

AttributesValues
rdf:type
rdfs:label
• Zeisel number
rdfs:comment
• A Zeisel number, named after Helmut Zeisel, is a square-free integer k with at least three prime factors which fall into the pattern where 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 are 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 pattern 1729 is an example for Carmichael numbers of the kind , which satisfies the pattern
sameAs
dct:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
Link from a Wikipage to an external page
foaf:isPrimaryTopicOf
prov:wasDerivedFrom
has abstract
• A Zeisel number, named after Helmut Zeisel, is a square-free integer k with at least three prime factors which fall into the pattern where 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 are 105, 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 the 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 pattern 1729 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.
title
• Zeisel Number
urlname
• ZeiselNumber
http://purl.org/voc/vrank#hasRank
is Link from a Wikipage to another Wikipage of
is Wikipage redirect of
is foaf:primaryTopic of
Faceted Search & Find service v1.17_git21 as of Mar 09 2019

Alternative Linked Data Documents: iSPARQL | ODE     Content Formats:       RDF       ODATA       Microdata      About

OpenLink Virtuoso version 07.20.3230 as of May 1 2019, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)