From: Thomas Nordhaus Subject: Re: Miller-Rabin-test Date: Fri, 21 Jul 2000 22:49:13 +0200 Newsgroups: sci.math.num-analysis,sci.crypt,sci.math Summary: [missing] Lynn Killingbeck schrieb: > I don't know about multiplying the actual probabilities (as opposed to > the 1/4 worst-case), but there is material on the www giving some > combinations. Try searching for pseudoprimes, then strong pseudoprimes. > Out of my files, 1,373,653 is a both 2 and 3-SPRP (strong pseudoprime), > the smallest one. > 25,326,001 is a 2, 3 and 5-SPRP. > 2,152,302,898,747 is a 2, 3, 5, 7 and 11-SPRP. > 3,474,749,660,383 is a 2, 3, 5, 7, 11 and 13-SPRP. > 341,550,071,728,321 is a 2, 3, 5, 7, 11, 13 and 17-SPRP. > The first three of these are due to Pomerance, Selfridge and Wagstaff, > ... and all others are due to Jaeschke. (Note: this > comment about attribution is an edited cut-and-paste from my web source. > Wish I still had the URL for your reference, but it's gone from my > bookmarks, somehow.) > > Lynn Killingbeck Thanks a lot! I'll try those examples Thomas Nordhaus