Message 17459 from Yahoo.Groups.Primenumbers

Return-Path: <jens.k.a@...> X-Sender: jens.k.a@... X-Apparently-To: primenumbers@yahoogroups.com Received: (qmail 44972 invoked from network); 31 Dec 2005 13:30:20 -0000 Received: from unknown (66.218.66.167) by m31.grp.scd.yahoo.com with QMQP; 31 Dec 2005 13:30:20 -0000 Received: from unknown (HELO swip.net) (212.247.154.65) by mta6.grp.scd.yahoo.com with SMTP; 31 Dec 2005 13:30:19 -0000 X-T2-Posting-ID: o2/NQ4WiIZJTLe6xTyIIqA== X-Cloudmark-Score: 0.000000 [] Received: from [195.82.218.77] (HELO jensathlonxp) by mailfe03.swip.net (CommuniGate Pro SMTP 5.0.2) with SMTP id 72133036 for primenumbers@yahoogroups.com; Sat, 31 Dec 2005 14:27:02 +0100 Message-ID: <03ad01c60e0d$efed7c40$c7d852c3@jensathlonxp> To: "primenumbers" <primenumbers@yahoogroups.com> References: <380-220051263112026857@...> Date: Sat, 31 Dec 2005 14:26:29 +0100 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2741.2600 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2742.200 X-Originating-IP: 212.247.154.65 X-eGroups-Msg-Info: 1:12:0:0 From: "Jens Kruse Andersen" <jens.k.a@...> Subject: Re: [PrimeNumbers] Prime GAP of 364,188 X-Yahoo-Group-Post: member; u=125539524; y=dXxDYYURRHQ_jeaMobbzOM2oTYzDD2Px7VTYydXHGnF6CQ X-Yahoo-Profile: jkand71
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
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