Message 3091 from Yahoo.Groups.Primenumbers

Return-Path: <miltbrown@...> Return-Path: <the_mcleans@...> X-Sender: the_mcleans@... X-Apparently-To: primenumbers@yahoogroups.com Received: (EGP: mail-7_4_1); 3 Oct 2001 19:20:49 -0000 Received: (qmail 60265 invoked from network); 3 Oct 2001 19:20:48 -0000 Received: from unknown (10.1.10.27) by l7.egroups.com with QMQP; 3 Oct 2001 19:20:48 -0000 Received: from unknown (HELO cmailg4.svr.pol.co.uk) (195.92.195.174) by mta2 with SMTP; 3 Oct 2001 19:16:48 -0000 Received: from modem-93.michigan.dialup.pol.co.uk ([62.137.73.93] helo=u3c1o5) by cmailg4.svr.pol.co.uk with smtp (Exim 3.13 #0) id 15orDK-0000fI-00; Wed, 03 Oct 2001 19:57:50 +0100 Message-ID: <00c401c14c3f$ceed66c0$5d49893e@u3c1o5> To: "Prime Numbers" <primenumbers@yahoogroups.com>, "Paul Leyland" <pleyland@...> Subject: Re: [PrimeNumbers] Prime GAP of 82794 Date: Wed, 3 Oct 2001 19:55:13 +0100 MIME-Version: 1.0 X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 4.72.3110.1 X-MimeOLE: Produced By Microsoft MimeOLE V4.72.3110.3 From: "Barbara and Joe" <the_mcleans@...> Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit
Paul, Notwithstanding Milton's efforts, it does seem that very little effort is required to produce scores greater than 10. For example, I ran 2^201+1 to 2^201+10^7-1 through Newpgen then pfgw in a couple of hours and found a gap that scores 11+. Could I suggest to potential contributors so Paul's soon to arrive webpage on the subject that : 1) additional criteria be added for qualification - this might become more evident when the first lists are available. 2) an exhaustive survey of 2^x+1 to 2^x+y-1 for x >= 100 and y = 10^7, 10^8 or even 10^9. Joe. > There are no prime numbers between > > 10^5020+47311 > > and > > 10^5020-35483 > > yielding a prime GAP of 82794 (or 82795). I make 82794/ln(10^5020+47311) about 7.163. Well short of the 10.0 needed to get on my top-20 page. The latter, BTW, is now under construction and I hope to make it public within a day or two. Paul [Non-text portions of this message have been removed]
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