Message 17440 from Yahoo.Groups.Primenumbers
Return-Path: <miltbrown@...> Received: (qmail 21562 invoked from network); 29 Dec 2005 23:40:59 -0000 Received: from unknown (66.218.66.218) by m25.grp.scd.yahoo.com with QMQP; 29 Dec 2005 23:40:59 -0000 Received: from unknown (HELO n5a.bullet.dcn.yahoo.com) (216.155.203.225) by mta3.grp.scd.yahoo.com with SMTP; 29 Dec 2005 23:40:58 -0000 Comment: DomainKeys? See http://antispam.yahoo.com/domainkeys Received: from [216.155.201.65] by n5.bullet.dcn.yahoo.com with NNFMP; 29 Dec 2005 23:40:20 -0000 Received: from [66.218.66.58] by mailer2.bullet.dcn.yahoo.com with NNFMP; 29 Dec 2005 23:40:20 -0000 Received: from [66.218.66.73] by mailer7.bullet.scd.yahoo.com with NNFMP; 29 Dec 2005 23:40:20 -0000 X-Sender: miltbrown@... X-Apparently-To: primenumbers@yahoogroups.com Received: (qmail 7832 invoked from network); 28 Dec 2005 21:08:06 -0000 Received: from unknown (66.218.66.167) by m34.grp.scd.yahoo.com with QMQP; 28 Dec 2005 21:08:06 -0000 Received: from unknown (HELO smtpauth09.mail.atl.earthlink.net) (209.86.89.69) by mta6.grp.scd.yahoo.com with SMTP; 28 Dec 2005 21:08:06 -0000 Received: from [4.232.168.114] (helo=earthlink.net) by smtpauth09.mail.atl.earthlink.net with asmtp (Exim 4.34) id 1EriWh-0003aP-VF; Wed, 28 Dec 2005 16:08:05 -0500 Message-ID: <380-220051232821759390@...> X-Priority: 3 X-Mailer: EarthLink MailBox 2005.2.112.0 (Windows) To: "primenumbers" <primenumbers@yahoogroups.com> Date: Wed, 28 Dec 2005 13:07:59 -0800 MIME-Version: 1.0 X-ELNK-Trace: 4d4a09a1fa5fda5d85338a7d01cb3b6a7e972de0d01da940ab254a53ef87f985579b6422b2c93816350badd9bab72f9c350badd9bab72f9c350badd9bab72f9c X-Originating-IP: 209.86.89.69 X-eGroups-Msg-Info: 1:12:0:0 From: "Milton Brown" <miltbrown@...> Reply-To: miltbrown@... Subject: 101 PRP Gaps X-Yahoo-Group-Post: member; u=42311949 Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit X-Yahoo-Newman-Property: groups-system X-eGroups-Approved-By: kradenken <kradenken@...> via web; 29 Dec 2005 23:40:20 -0000Attached are 101 prime number PRP's which yield gaps for numbers of the form 10^(10000+x) + y, -z The average upper PRP is 32028 significantly larger than the lower average of 18387. The average Gap size is 50415, with median of 42894. The lowest gap is 2142 at 10^10095 and the largest is 172758 at 10^10012. Milton L. Brown 0 28579 -22403 1 9933 -12587 2 7341 -96191 3 63091 -9489 4 28333 -11337 5 13629 -9959 6 4659 -7329 7 9001 -22743 8 3909 -2919 9 48521 -3789 10 59689 -28787 11 55971 -44291 12 170781 -1977 13 29247 -4383 14 25291 -45323 15 116961 -17949 16 38353 -3101 17 26371 -4743 18 3631 -3437 19 20007 -41009 20 55447 -237 21 3663 -6063 22 52793 -6569 23 58333 -31781 24 15679 -20177 25 105417 -7067 26 12379 -32991 27 104749 -29037 28 109081 -16761 29 106123 -3693 30 101157 -8951 31 5337 -6267 32 4713 -31679 33 115821 -2211 34 11283 -31319 35 52927 -4119 36 53853 -17687 37 27201 -2327 38 11331 -17919 39 1107 -41787 40 20419 -22851 41 27279 -31463 42 44149 -12549 43 19957 -4271 44 4683 -29523 45 4431 -4011 46 1201 -7299 47 283 -25097 48 23809 -36281 49 6567 -2531 50 27673 -13977 51 33207 -19901 52 43131 -8489 53 3393 -25239 54 11103 -821 55 100773 -24471 56 12511 -10091 57 3171 -10859 58 11389 -1721 59 10281 -13829 60 70023 -3713 61 2617 -26813 62 9319 -6437 63 5217 -4803 64 3483 -2847 65 26179 -2753 66 4011 -8393 67 9673 -8523 68 12397 -7559 69 22801 -29493 70 6369 -12173 71 34537 -50171 72 9501 -85787 73 11919 -12597 74 35829 -91863 75 61393 -1569 76 62643 -6189 77 35833 -7263 78 3841 -17387 79 2761 -11039 80 24379 -29957 81 28633 -22301 82 10809 -9101 83 59127 -15869 84 14007 -42077 85 64699 -5207 86 8629 -64557 87 10089 -40311 88 20097 -29301 89 92257 -3413 90 35557 -1247 91 44409 -47789 92 3669 -54893 93 23383 -3719 94 211 -6917 95 871 -1271 96 81009 -8489 97 4263 -33711 98 9649 -4721 99 68169 -3173 100 19503 -14039 [Non-text portions of this message have been removed]