Carmichael number variable relations: three-prime Carmichael numbers up to 10^24
| dc.creator | Chick, J. M. | |
| dc.date | 2007-11-19 | |
| dc.date | 2008-02-27 | |
| dc.date.accessioned | 2026-07-07T09:23:11Z | |
| dc.date.available | 2026-07-07T09:23:11Z | |
| dc.description | Bounds and other relations involving variables connected with Carmichael numbers are reviewed and extended. Families of numbers or individual numbers attaining or approaching these bounds are given. A new algorithm for finding three-prime Carmichael numbers is described, with its implementation up to $10^{24}$. Statistics relevant to the distribution of three-prime Carmichael numbers are given, with particular reference to the conjecture of Granville and Pomerance in [A.Granville and C.Pomerance, Two contradictory conjectures concerning Carmichael numbers, Math. Comp. 71 (2001), 883-908]. | |
| dc.description | 37 pages; 5 tables; amended version contains a minor factual correction on page 25 immediately before Challenge 4, an updated reference and 6 very minor textual improvements | |
| dc.identifier | https://arxiv.org/abs/0711.2915 | |
| dc.identifier | http://arxiv.org/abs/0711.2915 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155644 | |
| dc.subject | Number Theory | |
| dc.subject | 11Y11 (Primary), 11Y55 (Secondary) | |
| dc.title | Carmichael number variable relations: three-prime Carmichael numbers up to 10^24 | |
| dc.type | text |