2007/11/19 by J. M. Chick, Chick, J. M.
Engineering · Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #graph theory and CDMA systems #math.NT #msc:11Y11 #msc:11Y55
paper · pdf · doi:10.48550/arxiv.0711.2915
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
arxiv created 2008/02/27 · arxiv updated 2009/12/01
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 1024. 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].