Message 17462 from Yahoo.Groups.Primenumbers
Return-Path: <miltbrown@...> Received: (qmail 17109 invoked from network); 31 Dec 2005 17:13:44 -0000 Received: from unknown (66.218.66.217) by m15.grp.scd.yahoo.com with QMQP; 31 Dec 2005 17:13:44 -0000 Received: from unknown (HELO n2a.bullet.dcn.yahoo.com) (216.155.203.222) by mta2.grp.scd.yahoo.com with SMTP; 31 Dec 2005 17:13:43 -0000 Comment: DomainKeys? See http://antispam.yahoo.com/domainkeys Received: from [216.155.201.65] by n2.bullet.dcn.yahoo.com with NNFMP; 31 Dec 2005 17:13:36 -0000 Received: from [66.218.66.59] by mailer2.bullet.dcn.yahoo.com with NNFMP; 31 Dec 2005 17:13:36 -0000 Received: from [66.218.66.84] by mailer8.bullet.scd.yahoo.com with NNFMP; 31 Dec 2005 17:13:36 -0000 X-Sender: miltbrown@... X-Apparently-To: primenumbers@yahoogroups.com Received: (qmail 33240 invoked from network); 31 Dec 2005 16:01:20 -0000 Received: from unknown (66.218.66.172) by m30.grp.scd.yahoo.com with QMQP; 31 Dec 2005 16:01:20 -0000 Received: from unknown (HELO smtpauth02.mail.atl.earthlink.net) (209.86.89.62) by mta4.grp.scd.yahoo.com with SMTP; 31 Dec 2005 16:01:19 -0000 Received: from [4.232.78.172] (helo=earthlink.net) by smtpauth02.mail.atl.earthlink.net with asmtp (Exim 4.34) id 1Esj8b-0007d1-Au; Sat, 31 Dec 2005 10:59:21 -0500 Message-ID: <380-2200512631155920888@...> X-Priority: 3 X-Mailer: EarthLink MailBox 2005.2.112.0 (Windows) To: "Jens Kruse Andersen" <jens.k.a@...>, "primenumbers" <primenumbers@yahoogroups.com> Date: Sat, 31 Dec 2005 07:59:20 -0800 MIME-Version: 1.0 Content-type: text/plain; charset=US-ASCII X-ELNK-Trace: 4d4a09a1fa5fda5d85338a7d01cb3b6a7e972de0d01da940d0ccade5c57782d083d3e113c06defbe350badd9bab72f9c350badd9bab72f9c350badd9bab72f9c X-Originating-IP: 209.86.89.62 X-eGroups-Msg-Info: 1:12:0:0 From: "Milton Brown" <miltbrown@...> Reply-To: miltbrown@... Subject: Re: [PrimeNumbers] Prime GAP of 364,188 X-Yahoo-Group-Post: member; u=42311949 X-Yahoo-Newman-Property: groups-system X-eGroups-Approved-By: kradenken <kradenken@...> via web; 31 Dec 2005 17:13:34 -0000Sorry, I thought I had tested this interval. Thanks, Milton L. Brown > [Original Message] > From: Jens Kruse Andersen <jens.k.a@...> > To: primenumbers <primenumbers@yahoogroups.com> > Date: 12/31/2005 7:27:02 AM > Subject: Re: [PrimeNumbers] Prime GAP of 364,188 > > Milton Brown wrote: > > > Prime GAP of 364,188 > > I have just submitted 10^10702 - 108911 as PRP. > > This together with 10^10702 + 255277, previously submitted > > yields the prime number gap. > > 10^10702+19483 and 10^10702+44919 are prp's, found with PrimeForm/GW 1.2.0. > They have also passed 5 Miller-Rabin tests with the GMP library. > I only tested 10^10702 to 10^10702+50000, 14% of Milton's alleged prime gap. > The expected prp count in this subinterval was 50000/log(10^10702) = 2.03. > It seems heuristics are more reliable than Milton. Not really a surprise. > > -- > Jens Kruse Andersen >Message 17459 Message 17461 Message 17480 Message 17488