Message 2937 from Yahoo.Groups.Primeform
Return-Path: <d.broadhurst@...> X-Sender: d.broadhurst@... X-Apparently-To: primeform@yahoogroups.com Received: (EGP: mail-8_2_3_0); 22 Dec 2002 09:31:30 -0000 Received: (qmail 40507 invoked from network); 22 Dec 2002 09:31:30 -0000 Received: from unknown (66.218.66.217) by m11.grp.scd.yahoo.com with QMQP; 22 Dec 2002 09:31:30 -0000 Received: from unknown (HELO n26.grp.scd.yahoo.com) (66.218.66.82) by mta2.grp.scd.yahoo.com with SMTP; 22 Dec 2002 09:31:30 -0000 Received: from [66.218.67.150] by n26.grp.scd.yahoo.com with NNFMP; 22 Dec 2002 09:31:30 -0000 Date: Sun, 22 Dec 2002 09:31:28 -0000 To: primeform@yahoogroups.com Subject: (14*10^6343-41)/99 is prime Message-ID: <au40pg+a4jm@...> User-Agent: eGroups-EW/0.82 MIME-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Length: 606 X-Mailer: Yahoo Groups Message Poster From: "David Broadhurst <d.broadhurst@...>" <d.broadhurst@...> X-Originating-IP: 212.56.75.172 X-Yahoo-Group-Post: member; u=35890005 X-Yahoo-Profile: djbroadhurstDetails of the proof that (14*10^6343-41)/99 is prime may be found in http://groups.yahoo.com/group/primeform/files/KP/hd6342kp.txt Thanks to Jim Fougeron for showing the way, with his BLS verification of the primality of (17*10^4885-71)/99 first proven by Hans Rosenthal and Marcel Martin, using the ECPP implementation Primo. Also thanks to OpenPfgw and Marcel Martin for their contributions to steps 1 and 2 of the present proof. Step 3 was the use of the Konyagin-Pomerance cubic given in Theorem 4.1.6 of the Crandall-Pomerance book, "Prime Numbers: A Computational Perspective". David Broadhurst