Previous month前月 | September 2003 2003 年 9 月 | June 6 月 July 7 月 August 8 月 September 2016 2016 年 9 月 October 10 月 November 11 月 December 12 月 | Recent changes 最近の更新 | Next month翌月

September 30, 2016 2016 年 9 月 30 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=53381: c53381(1111111111......) = 18071060784680147973881 * c53358(6148566065......)

# ECM B1=11e3

# 138996 of 200000 Φn(10) factorization were cracked. 200000 個中 138996 個の Φn(10) の素因数が見つかりました。

# 13787 of 17984 Rprime factorization were cracked. 17984 個中 13787 個の Rprime の素因数が見つかりました。

September 30, 2016 2016 年 9 月 30 日 (Makoto Kamada)

n=189020M: c34835(1510891910......) = 14589231785701 * c34822(1035621294......)

n=190300L: c34395(1769221284......) = 1616284113288887485301 * c34374(1094622702......)

# P-1 B1=1e6

September 29, 2016 2016 年 9 月 29 日 (Makoto Kamada)

n=178940L: c34123(1749298573......) = 111171102209688852617408394287461 * c34091(1573519141......)

n=178940M: c34127(2063741104......) = 16167169468762039841 * c34108(1276501188......)

n=183940M: c34548(2855622646......) = 95449214572194101 * c34531(2991771759......)

n=184300M: c34546(2415258590......) = 1777646778311954619895801 * c34522(1358683074......)

n=188540M: c34241(2796127961......) = 8089213984857201782081 * c34219(3456612677......)

# P-1 B1=1e6

September 28, 2016 2016 年 9 月 28 日 (Makoto Kamada)

n=174140L: c34790(1315115687......) = 23678568901516601 * c34773(5554033663......)

n=174700M: c34894(2634619949......) = 5359030924609054689301 * c34872(4916224567......)

n=174820M: c34956(1615401467......) = 1731846845757316364801 * c34934(9327623118......)

n=174940M: c34971(2318952159......) = 4200580313926118201 * c34952(5520551889......)

n=177500L: c34969(1598892943......) = 10481926492501 * c34956(1525380801......)

n=178180M: c34800(3540999999......) = 234195071534028148001 * c34780(1511987411......)

n=178540L: c34945(2796099999......) = 267106537685090281 * c34928(1046810768......)

# P-1 B1=1e6

# 138995 of 200000 Φn(10) factorization were cracked. 200000 個中 138995 個の Φn(10) の素因数が見つかりました。

September 27, 2016 2016 年 9 月 27 日 (Makoto Kamada)

n=171460M: c34281(4534470641......) = 73135744088655121 * c34264(6200074529......)

n=172100L: c34395(1173793174......) = 38202884219953985457901 * c34372(3072525017......)

n=172180M: c34420(1608488922......) = 881155702917760021 * c34402(1825430984......)

n=172300M: c34433(5746080924......) = 111495997523798501 * 58010305472837704001 * c34396(8883974601......)

n=172940L: c34567(4569857077......) = 7596837348191041 * c34551(6015473108......)

n=173980L: c34772(3405892570......) = 331504387723121 * c34758(1027404974......)

# P-1 B1=1e6

September 26, 2016 2016 年 9 月 26 日 (Makoto Kamada)

n=151200: c34548(1763778207......) = 636813021766534502401 * c34527(2769695574......)

n=151830: c34548(7237132869......) = 5037534415602609424561 * c34527(1436641871......)

n=153720: c34561(1000000000......) = 490423240450081 * 328911673866335281 * c34528(6199400150......)

n=159600: c34538(7707753326......) = 137237024418986990401 * c34518(5616380389......)

n=166530: c34532(7863563774......) = 36362206712482561 * c34516(2162565060......)

n=168630: c34560(9100091910......) = 29796596722690819561 * c34541(3054070904......)

n=170740L: c34129(2986746393......) = 72730632451166861 * c34112(4106586582......)

n=170740M: c34134(1387944886......) = 78355132587101 * c34120(1771351589......)

n=170860M: c34150(5316442782......) = 61385704155212656741 * c34130(8660718086......)

# P-1 B1=1e6

# 138994 of 200000 Φn(10) factorization were cracked. 200000 個中 138994 個の Φn(10) の素因数が見つかりました。

September 25, 2016 2016 年 9 月 25 日 (Makoto Kamada)

n=134070: c34554(1205351451......) = 395357332109161 * 6197533466835115188211 * c34517(4919319351......)

n=136590: c34918(6837579381......) = 145473352089161641 * c34901(4700228105......)

n=137310: c34841(1728506829......) = 13033078877628451 * c34825(1326245966......)

n=139080: c34561(1000099999......) = 11847379315441 * c34547(8441529332......)

n=140010: c34369(1098890109......) = 65168391475948626247316611 * c34343(1686231753......)

n=145080: c34554(2461695404......) = 17732978697170881 * c34538(1388201861......)

# P-1 B1=1e6

# 138992 of 200000 Φn(10) factorization were cracked. 200000 個中 138992 個の Φn(10) の素因数が見つかりました。

September 24, 2016 2016 年 9 月 24 日 (Maksym Voznyy)

n=35083: c35083(1111111111......) = 208945798880610668109005039 * c35056(5317700174......)

# ECM curve #8, stage #2, Sigma=7623380442978348, B1=250000, B2=25000000

n=39241: c39241(1111111111......) = 503389641609398475136082399933 * c39211(2207258591......)

# ECM curve #3, stage #2, Sigma=6838309798024844, B1=250000, B2=25000000

# 138990 of 200000 Φn(10) factorization were cracked. 200000 個中 138990 個の Φn(10) の素因数が見つかりました。

# 13786 of 17984 Rprime factorization were cracked. 17984 個中 13786 個の Rprime の素因数が見つかりました。

September 24, 2016 2016 年 9 月 24 日 (Makoto Kamada)

n=131760: c34539(8132340270......) = 10151701499938391146081 * c34517(8010815005......)

n=133056: c34560(9999999999......) = 5691699583770817 * c34545(1756944450......)

n=133200: c34519(1249426060......) = 24704020051201 * c34505(5057581955......)

# P-1 B1=1e6

# 138988 of 200000 Φn(10) factorization were cracked. 200000 個中 138988 個の Φn(10) の素因数が見つかりました。

September 24, 2016 2016 年 9 月 24 日 (Maksym Voznyy)

n=24767: c24767(1111111111......) = 449267202819961944872711 * c24743(2473163195......)

# ECM curve #4, stage #1, Sigma=1457789633104498, B1=250000, B2=25000000

# 138987 of 200000 Φn(10) factorization were cracked. 200000 個中 138987 個の Φn(10) の素因数が見つかりました。

# 13784 of 17984 Rprime factorization were cracked. 17984 個中 13784 個の Rprime の素因数が見つかりました。

September 24, 2016 2016 年 9 月 24 日 (Makoto Kamada)

n=130416: c34544(3022460428......) = 29037758017846152433 * c34525(1040872517......)

n=130494: c34273(1098900989......) = 867347481085982842219 * c34252(1266967406......)

n=131160: c34944(9999000100......) = 103556314134483361 * c34927(9655616061......)

n=131310: c34984(4699171235......) = 73637372706775201 * c34967(6381503118......)

# P-1 B1=1e6

# 138986 of 200000 Φn(10) factorization were cracked. 200000 個中 138986 個の Φn(10) の素因数が見つかりました。

September 23, 2016 2016 年 9 月 23 日 (Makoto Kamada)

n=130080: c34546(5105958187......) = 164074357469576078401 * c34526(3111978170......)

n=130110: c34688(9100090999......) = 26175211320004568577713371 * c34663(3476606507......)

# P-1 B1=1e6

# 138984 of 200000 Φn(10) factorization were cracked. 200000 個中 138984 個の Φn(10) の素因数が見つかりました。

September 23, 2016 2016 年 9 月 23 日 (Maksym Voznyy)

n=24029: c24029(1111111111......) = 12883419304780560861693541830733 * c23997(8624349521......)

# ECM curve #2, stage #1, Sigma=957695988765781, B1=250000, B2=25000000

# 138983 of 200000 Φn(10) factorization were cracked. 200000 個中 138983 個の Φn(10) の素因数が見つかりました。

# 13783 of 17984 Rprime factorization were cracked. 17984 個中 13783 個の Rprime の素因数が見つかりました。

September 23, 2016 2016 年 9 月 23 日 (Makoto Kamada)

n=129108: c34945(1009998990......) = 10682644582009 * 1648580756413249 * c34916(5734980347......)

n=129444: c34839(8854509859......) = 1563308113242289 * c34824(5663956953......)

n=129450: c34480(9999900001......) = 5338347155013743063379451 * c34456(1873220251......)

n=130074: c34987(2816084620......) = 62644620438944360881 * 663747974637578173939 * c34946(6772651204......)

# P-1 B1=1e6

# 138982 of 200000 Φn(10) factorization were cracked. 200000 個中 138982 個の Φn(10) の素因数が見つかりました。

September 22, 2016 2016 年 9 月 22 日 (Maksym Voznyy)

n=35851: c35851(1111111111......) = 48264451257565077550277 * c35828(2302131449......)

# ECM curve #2, stage #2, Sigma=5116390326037414, B1=250000, B2=25000000

# 138980 of 200000 Φn(10) factorization were cracked. 200000 個中 138980 個の Φn(10) の素因数が見つかりました。

# 13782 of 17984 Rprime factorization were cracked. 17984 個中 13782 個の Rprime の素因数が見つかりました。

September 22, 2016 2016 年 9 月 22 日 (Makoto Kamada)

n=127908: c34550(2432068403......) = 235161183713431141 * c34533(1034213370......)

n=128070: c34121(2166785912......) = 4863890074056192721 * c34102(4454841452......)

n=128430: c34209(8649872860......) = 157524590977787521 * c34192(5491125421......)

n=128850: c34320(9999900001......) = 6343683994365106801 * c34302(1576355318......)

# P-1 B1=1e6

# 138979 of 200000 Φn(10) factorization were cracked. 200000 個中 138979 個の Φn(10) の素因数が見つかりました。

September 22, 2016 2016 年 9 月 22 日 (Maksym Voznyy)

n=35393: c35393(1111111111......) = 9646775119858453719917 * c35371(1151795389......)

# ECM curve #6, stage #2, Sigma=1699722451955179, B1=250000, B2=25000000

n=25603: c25603(1111111111......) = 105538325178681320444201 * c25580(1052803433......)

# ECM curve #8, stage #2, Sigma=5396350532217915, B1=250000, B2=25000000

# 138978 of 200000 Φn(10) factorization were cracked. 200000 個中 138978 個の Φn(10) の素因数が見つかりました。

# 13781 of 17984 Rprime factorization were cracked. 17984 個中 13781 個の Rprime の素因数が見つかりました。

September 22, 2016 2016 年 9 月 22 日 (Makoto Kamada)

n=123552: c34551(1940437316......) = 3182624866562993281 * c34532(6096971519......)

n=123606: c34992(9999999999......) = 1468663039244773 * c34977(6808913775......)

n=124362: c34768(4232127074......) = 335910592199449 * c34754(1259896881......)

n=124656: c34926(8553720884......) = 230036226523533689551489 * c34903(3718423404......)

n=125454: c34253(5685164778......) = 1896905605703011 * c34238(2997073107......)

# P-1 B1=1e6

# 138976 of 200000 Φn(10) factorization were cracked. 200000 個中 138976 個の Φn(10) の素因数が見つかりました。

September 22, 2016 2016 年 9 月 22 日 (Maksym Voznyy)

n=35281: c35281(1111111111......) = 1072729823351777954127311 * c35257(1035779081......)

# ECM curve #6, stage #2, Sigma=1494885674618938, B1=250000, B2=25000000

n=35323: c35323(1111111111......) = 1383864810970123161654439 * c35298(8029043749......)

# ECM curve #4, stage #1, Sigma=6828442054611375, B1=250000, B2=25000000

# 138975 of 200000 Φn(10) factorization were cracked. 200000 個中 138975 個の Φn(10) の素因数が見つかりました。

# 13779 of 17984 Rprime factorization were cracked. 17984 個中 13779 個の Rprime の素因数が見つかりました。

September 21, 2016 2016 年 9 月 21 日 (Makoto Kamada)

n=120078: c34258(4962441291......) = 143961881738345820703 * c34238(3447052255......)

n=120198: c34849(1098901098......) = 13637582624173 * c34835(8057887744......)

n=120246: c34243(1939947558......) = 4154345861414407 * c34227(4669682359......)

n=120876: c34497(3531311771......) = 72844415722611121 * c34480(4847745344......)

n=121176: c34551(1256655890......) = 154212024693673 * c34536(8148883933......)

n=121254: c34604(3783444411......) = 36056775773773693 * c34588(1049301921......)

n=121524: c34553(2518517267......) = 12771807653856109 * c34537(1971934854......)

n=121632: c34560(9999999999......) = 1224971111117773542988975777 * c34533(8163457822......)

n=121926: c34824(9100000909......) = 1471894867429400863 * c34806(6182507400......)

n=122514: c34992(9100000909......) = 1430947833307441 * c34977(6359421844......)

n=122694: c34274(7212913985......) = 6536308039042271491 * c34256(1103515002......)

# P-1 B1=1e6

# 138973 of 200000 Φn(10) factorization were cracked. 200000 個中 138973 個の Φn(10) の素因数が見つかりました。

September 20, 2016 2016 年 9 月 20 日 (Makoto Kamada)

n=113886: c34992(9999999999......) = 3360095019562189771 * c34974(2976106313......)

n=114048: c34552(1551900517......) = 886174379945192449 * c34534(1751236045......)

n=114708: c34300(2646449643......) = 202057454899081 * c34286(1309751053......)

n=115104: c34536(6390470832......) = 2735270031544608236174497 * c34512(2336321737......)

n=115302: c34897(2230008546......) = 8711164893174943 * c34881(2559942985......)

# P-1 B1=1e6

# 138969 of 200000 Φn(10) factorization were cracked. 200000 個中 138969 個の Φn(10) の素因数が見つかりました。

September 19, 2016 2016 年 9 月 19 日 (Maksym Voznyy)

n=17783: c17783(1111111111......) = 22494219754569772745123243 * c17757(4939540571......)

# ECM curve #5, stage #1, Sigma=2567042770629607, B1=250000, B2=25000000

# 138968 of 200000 Φn(10) factorization were cracked. 200000 個中 138968 個の Φn(10) の素因数が見つかりました。

# 13777 of 17984 Rprime factorization were cracked. 17984 個中 13777 個の Rprime の素因数が見つかりました。

September 19, 2016 2016 年 9 月 19 日 (Makoto Kamada)

n=111486: c34939(8162386645......) = 725020003939679082379 * c34919(1125815370......)

n=111774: c34359(1938758421......) = 6217458372121933 * c34343(3118249138......)

n=111792: c34808(5218893685......) = 1301743236273962401 * c34790(4009157520......)

n=112008: c34359(1196029021......) = 83922220151463882241 * c34339(1425163704......)

n=112086: c34407(1116599393......) = 15875895188858285881 * c34387(7033300362......)

n=112164: c34464(9901000000......) = 8320136154354646129 * c34446(1190004564......)

n=112866: c34704(9100000000......) = 12277894946336059 * c34688(7411693975......)

n=112944: c34554(9837707243......) = 1257240440187300817 * c34536(7824841557......)

n=113050: c34550(1956133164......) = 42768695480025938851 * c34530(4573749894......)

# P-1 B1=1e6

# 138967 of 200000 Φn(10) factorization were cracked. 200000 個中 138967 個の Φn(10) の素因数が見つかりました。

September 18, 2016 2016 年 9 月 18 日 (Maksym Voznyy)

n=15227: c15227(1111111111......) = 4641226649587059930803 * c15205(2394003126......)

# ECM curve #1, stage #2, Sigma=2622064487904772, B1=250000, B2=25000000

n=28081: c28081(1111111111......) = 10545261646676990818383671 * c28056(1053659120......)

# ECM curve #7, stage #1, Sigma=919938068480688, B1=250000, B2=25000000

# 138965 of 200000 Φn(10) factorization were cracked. 200000 個中 138965 個の Φn(10) の素因数が見つかりました。

# 13776 of 17984 Rprime factorization were cracked. 17984 個中 13776 個の Rprime の素因数が見つかりました。

September 18, 2016 2016 年 9 月 18 日 (Makoto Kamada)

n=108642: c34262(1610925201......) = 9417205086041299 * c34246(1710619219......)

n=108680: c34555(4601101393......) = 15324798956393061067881521 * c34530(3002389399......)

n=109038: c34166(9236071643......) = 691576050931003933 * c34149(1335510625......)

n=109782: c34344(9999999990......) = 3997355415162328530308521 * c34320(2501653956......)

n=109854: c34358(2883674222......) = 38131078790916732601 * c34338(7562529867......)

n=110112: c34551(2895845892......) = 1125385319553752641 * c34533(2573203899......)

n=110538: c34840(5426912194......) = 6089659316718224076080021971 * c34812(8911684401......)

n=110694: c34911(1090386650......) = 18822440193343 * c34897(5793014291......)

n=110808: c34993(1000000000......) = 98540881684633 * c34979(1014807238......)

# P-1 B1=1e6

# 138963 of 200000 Φn(10) factorization were cracked. 200000 個中 138963 個の Φn(10) の素因数が見つかりました。

September 17, 2016 2016 年 9 月 17 日 (Makoto Kamada)

n=108336: c34538(6878714151......) = 2900713947940273 * 7622214662850351018291649 * c34498(3111151670......)

# P-1 B1=1e6

September 17, 2016 2016 年 9 月 17 日 (Maksym Voznyy)

n=18047: c18020(5751247497......) = 186553886572731852030839 * c17997(3082888061......)

# ECM curve #4, stage #1, Sigma=5132820651435094, B1=250000, B2=25000000

n=28027: c28027(1111111111......) = 10028970557701768379749643 * c28002(1107901458......)

# ECM curve #10, stage #2, Sigma=640876451925909, B1=250000, B2=25000000

# 138961 of 200000 Φn(10) factorization were cracked. 200000 個中 138961 個の Φn(10) の素因数が見つかりました。

# 13774 of 17984 Rprime factorization were cracked. 17984 個中 13774 個の Rprime の素因数が見つかりました。

September 17, 2016 2016 年 9 月 17 日 (Makoto Kamada)

n=106602: c34980(4845781273......) = 44795593770493 * 16968010040150209 * c34950(6375255538......)

n=107166: c34932(1522102060......) = 151412239411400077437601 * c34909(1005270159......)

n=107358: c34474(2149078457......) = 175474924408738237 * c34457(1224721119......)

n=107442: c34762(4126855153......) = 265626359433037 * c34748(1553631635......)

n=107532: c34272(9999990000......) = 45777433679439229 * c34256(2184480255......)

n=107802: c34929(4814243736......) = 432485469020704999663 * c34909(1113157338......)

n=107870: c34822(8460007686......) = 65257562680700917451 * c34803(1296402645......)

n=108228: c34709(1908704926......) = 343672783993383356818674245221 * c34679(5553843699......)

# P-1 B1=1e6

# 138960 of 200000 Φn(10) factorization were cracked. 200000 個中 138960 個の Φn(10) の素因数が見つかりました。

September 16, 2016 2016 年 9 月 16 日 (Maksym Voznyy)

n=21481: c21481(1111111111......) = 1804023345650187525590107 * c21456(6159072795......)

# ECM curve #3, stage #2, Sigma=2017495901514952, B1=50000, B2=5000000

# 138959 of 200000 Φn(10) factorization were cracked. 200000 個中 138959 個の Φn(10) の素因数が見つかりました。

# 13773 of 17984 Rprime factorization were cracked. 17984 個中 13773 個の Rprime の素因数が見つかりました。

September 16, 2016 2016 年 9 月 16 日 (Makoto Kamada)

n=106446: c34932(4249320327......) = 169591995006205081 * c34915(2505613739......)

# P-1 B1=1e6

September 16, 2016 2016 年 9 月 16 日 (Maksym Voznyy)

n=28597: c28597(1111111111......) = 849050216547001153493 * c28576(1308651819......)

# ECM curve #8, stage #2, Sigma=7666882339589653, B1=50000, B2=5000000

n=31219: c31219(1111111111......) = 4221484416762019388533933747 * c31191(2632038878......)

# ECM curve #6, stage #2, Sigma=6865017544639734, B1=50000, B2=5000000

# 138958 of 200000 Φn(10) factorization were cracked. 200000 個中 138958 個の Φn(10) の素因数が見つかりました。

# 13772 of 17984 Rprime factorization were cracked. 17984 個中 13772 個の Rprime の素因数が見つかりました。

September 16, 2016 2016 年 9 月 16 日 (Makoto Kamada)

n=106032: c34577(1205283400......) = 24472520550846721 * c34560(4925048068......)

n=106266: c34840(2085586047......) = 177398886239247327515761 * c34817(1175647768......)

# P-1 B1=1e6

September 15, 2016 2016 年 9 月 15 日 (Maksym Voznyy)

n=21149: c21149(1111111111......) = 38660902986658154894551 * c21126(2873991617......)

# ECM curve #15, stage #2, Sigma=2379008572145238, B1=50000, B2=5000000

# 138956 of 200000 Φn(10) factorization were cracked. 200000 個中 138956 個の Φn(10) の素因数が見つかりました。

# 13770 of 17984 Rprime factorization were cracked. 17984 個中 13770 個の Rprime の素因数が見つかりました。

September 15, 2016 2016 年 9 月 15 日 (Makoto Kamada)

n=104868: c34909(9093047793......) = 62362907063929 * c34896(1458085939......)

n=104886: c34935(4915035077......) = 8379903997065493 * c34919(5865264183......)

n=104892: c34942(1024792872......) = 3597535117921320137281 * c34920(2848597271......)

n=104976: c34977(5020186855......) = 49575533048929 * c34964(1012633964......)

n=105054: c34984(2469420850......) = 927033605473729701632449 * c34960(2663787844......)

n=105078: c34417(2996263346......) = 16923618268573 * c34404(1770462615......)

n=105216: c34805(1428438210......) = 3169240549459811329 * c34786(4507194037......)

n=105324: c34320(9901000000......) = 193630234190866825609 * c34300(5113354348......)

n=105342: c34560(9100000000......) = 38080850005458889 * c34544(2389652541......)

# P-1 B1=1e6

# 138955 of 200000 Φn(10) factorization were cracked. 200000 個中 138955 個の Φn(10) の素因数が見つかりました。

September 14, 2016 2016 年 9 月 14 日 (Makoto Kamada)

n=104616: c34834(2244961982......) = 45297544201645753 * c34817(4956034641......)

n=104646: c34330(2769801824......) = 1228527847251604373272783 * c34306(2254569834......)

n=104658: c34873(2786807557......) = 6383465965968739 * c34857(4365665255......)

n=104688: c34821(4449027566......) = 87734010209277457 * c34804(5071040928......)

n=104694: c34897(1098901098......) = 6123139981484424255139 * c34875(1794669241......)

n=104712: c34880(9060794436......) = 141539429410697737 * c34863(6401604467......)

n=104802: c34933(1098901098......) = 204674115806437 * c34918(5369028196......)

# P-1 B1=1e6

# 138953 of 200000 Φn(10) factorization were cracked. 200000 個中 138953 個の Φn(10) の素因数が見つかりました。

September 14, 2016 2016 年 9 月 14 日 (Maksym Voznyy)

n=27299: c27299(1111111111......) = 1715147758278026304463991 * c27274(6478223848......)

# ECM curve #13, stage #2, Sigma=5066863975984278, B1=50000, B2=5000000

n=25097: c25097(1111111111......) = 896198962804214760095987 * c25073(1239804058......)

# ECM curve #3, stage #2, Sigma=5435587625983756, B1=50000, B2=5000000

n=26921: c26921(1111111111......) = 225782760082464355206893 * c26897(4921151246......)

# ECM curve #196, stage #2, Sigma=4842979051396936, B1=50000, B2=5000000

# 138951 of 200000 Φn(10) factorization were cracked. 200000 個中 138951 個の Φn(10) の素因数が見つかりました。

# 13769 of 17984 Rprime factorization were cracked. 17984 個中 13769 個の Rprime の素因数が見つかりました。

September 14, 2016 2016 年 9 月 14 日 (Makoto Kamada)

n=104418: c34795(4793211926......) = 118085549771881 * c34781(4059101164......)

n=104556: c34839(4222900770......) = 673607343982165009 * c34821(6269083625......)

n=104568: c34849(1000099999......) = 1817185159657762849 * c34830(5503566847......)

# P-1 B1=1e6

# 138948 of 200000 Φn(10) factorization were cracked. 200000 個中 138948 個の Φn(10) の素因数が見つかりました。

September 13, 2016 2016 年 9 月 13 日 (Makoto Kamada)

n=104166: c34656(8501245681......) = 122540390939187037 * c34639(6937504945......)

n=104172: c34713(3729035975......) = 11817106984069 * c34700(3155625129......)

n=104184: c34697(4362910185......) = 493831067422393 * c34682(8834823227......)

n=104238: c34703(6913590382......) = 16683967503777752161327 * c34681(4143852702......)

n=104274: c34741(1000000000......) = 315746001084430369 * c34723(3167102663......)

n=104298: c34737(5661357741......) = 16610341846353051133 * c34718(3408333069......)

n=104316: c34758(5671671273......) = 24689145011241409 * c34742(2297232759......)

n=104322: c34757(8356368400......) = 6857394644074798921 * c34739(1218592313......)

n=104352: c34726(1573526737......) = 3742382663895912779762017 * c34701(4204612086......)

n=104390: c34561(1099989000......) = 54547272512624321 * c34544(2016579288......)

# P-1 B1=1e6

# 138947 of 200000 Φn(10) factorization were cracked. 200000 個中 138947 個の Φn(10) の素因数が見つかりました。

September 13, 2016 2016 年 9 月 13 日 (Maksym Voznyy)

n=8317: c8317(1111111111......) = 140206236806008891970798191603 * c8287(7924833705......)

n=7759: c7759(1111111111......) = 106221660948091790295289965372773 * c7727(1046030631......)

n=6949: c6949(1111111111......) = 7963383644007615893833498728502409 * c6915(1395275125......)

# prime95, 200 ECM curves with B1=50000

# 138945 of 200000 Φn(10) factorization were cracked. 200000 個中 138945 個の Φn(10) の素因数が見つかりました。

# 13766 of 17984 Rprime factorization were cracked. 17984 個中 13766 個の Rprime の素因数が見つかりました。

September 13, 2016 2016 年 9 月 13 日 (Makoto Kamada)

n=103880: c34944(9999999999......) = 5693999114757053521 * c34926(1756234905......)

n=103926: c34634(2857804781......) = 94805312701267914832830379 * c34608(3014393076......)

n=104106: c34701(1098901098......) = 805513547612041 * c34686(1364224229......)

n=104136: c34705(1000099999......) = 3793204955872777 * c34689(2636556715......)

n=104154: c34690(9615362127......) = 51124780545722090131 * c34671(1880763501......)

# P-1 B1=1e6

# 138942 of 200000 Φn(10) factorization were cracked. 200000 個中 138942 個の Φn(10) の素因数が見つかりました。

September 12, 2016 2016 年 9 月 12 日 (Makoto Kamada)

n=103338: c34433(9686658365......) = 4371519603957157 * c34418(2215856096......)

n=103374: c34453(1000999998......) = 9549870388646527 * c34437(1048181764......)

n=103386: c34439(3023969705......) = 1582821067268533 * c34424(1910493717......)

n=103392: c34363(9671834650......) = 19040831253760033 * c34347(5079523326......)

n=103476: c34489(1009998990......) = 81660137799171469 * c34472(1236832336......)

n=103518: c34021(1000000000......) = 1707551614434501811 * c34002(5856338347......)

n=103548: c34507(9753826594......) = 39316009718482969 * c34491(2480879078......)

n=103608: c34513(1000000000......) = 15618499171571471041 * c34493(6402663847......)

n=103746: c34581(1098901098......) = 57881192940408899251 * c34561(1898546044......)

n=103872: c34541(7072912274......) = 467376833414901313 * c34524(1513321108......)

# P-1 B1=1e6

# 138939 of 200000 Φn(10) factorization were cracked. 200000 個中 138939 個の Φn(10) の素因数が見つかりました。

September 11, 2016 2016 年 9 月 11 日 (Makoto Kamada)

n=102768: c34241(1000000009......) = 46257800016486577 * c34224(2161797598......)

n=102852: c34251(5749673959......) = 27639477206416557634910689 * c34226(2080239766......)

n=102936: c34291(1019277109......) = 32283767507758369 * c34274(3157243370......)

n=102954: c34317(1098901098......) = 47625601506442845121 * c34297(2307374739......)

n=102966: c34049(2460150560......) = 415596720119847372961 * c34028(5919562021......)

n=102972: c34321(1009998990......) = 14883405108647149 * c34304(6786074709......)

n=102978: c34309(1000000000......) = 70186611954752641 * c34292(1424773148......)

n=102996: c34314(6472745561......) = 7235664175232033198445981092161 * c34283(8945613566......)

n=103104: c34171(3232971132......) = 84586895320582786199617 * c34148(3822070925......)

n=103128: c34357(5191309725......) = 49281942364801 * c34344(1053389837......)

n=103146: c34363(4099891585......) = 1080046159810504623024859 * c34339(3796033668......)

n=103176: c34343(2145301793......) = 158515002432886482001 * c34323(1353374608......)

# P-1 B1=1e6

# 138934 of 200000 Φn(10) factorization were cracked. 200000 個中 138934 個の Φn(10) の素因数が見つかりました。

September 10, 2016 2016 年 9 月 10 日 (Makoto Kamada)

n=102252: c34081(1009998990......) = 12253185940690907908060549981 * c34052(8242745967......)

n=102264: c34069(3173471933......) = 544461402146881 * c34054(5828644457......)

n=102348: c34095(1986903181......) = 9191030115411901 * c34079(2161785084......)

n=102516: c34169(1009998990......) = 80003099489751181 * c34152(1262449825......)

n=102576: c34147(1248070157......) = 310847613217777 * c34132(4015054656......)

n=102594: c34177(2635582191......) = 346866715771319437 * 204219689276306991499 * c34139(3720628641......)

n=102618: c34172(2621264509......) = 23151880333333 * c34159(1132203722......)

n=102636: c34201(1000000999......) = 3534816146220793818829 * c34179(2829004278......)

# P-1 B1=1e6

# 138930 of 200000 Φn(10) factorization were cracked. 200000 個中 138930 個の Φn(10) の素因数が見つかりました。

September 9, 2016 2016 年 9 月 9 日 (Makoto Kamada)

n=100030: c34252(9981572878......) = 549535120992971 * c34238(1816366688......)

n=100310: c34368(9091000909......) = 1246449176187811 * c34353(7293519128......)

n=101270: c34547(5078464210......) = 14062750798721 * c34534(3611287921......)

n=102162: c34045(2669095816......) = 2084299249327567 * c34030(1280572267......)

n=102192: c34034(3374064866......) = 22860313829877457 * c34018(1475948620......)

n=102198: c34058(6720412990......) = 5198751672457042807 * c34040(1292697442......)

# P-1 B1=1e6

# 138927 of 200000 Φn(10) factorization were cracked. 200000 個中 138927 個の Φn(10) の素因数が見つかりました。

September 3, 2016 2016 年 9 月 3 日 (Bodao)

# via yoyo@home

n=1145: c898(8373898607......) = 4436672723558212976001763691029474593961 * c859(1887427612......)

# ECM B1=43000000, sigma=4038135113

September 2, 2016 2016 年 9 月 2 日 (Bo Chen, Wenjie Fang, Alfred Reich, Alfred Eichhorn, Maksym Voznyy and Kurt Beschorner)

n=343: c238(1041538392......) = 108164182562832081427746076140676111780117904145681235787387789905399551977213797293596351 * p148(9629235556......)

R343 is factored by "Bo Chen/Wenjie Fang/Alfred Reich/Alfred Eichhorn/Maksym Voznyy/Kurt Beschorner" at 
Sep 02 2016.
The relations was sieved from 2015-10-22 to 2016-07-14, about 9 calendar months,
at about 51 cpu threads, (Kurt 20, Maksym 10, AlfredR 10, AlfredE 5, Wenjie 5, Bo 1).
It is factored using snfs.



The polynomial file is 
n: 1041538392663678721744627767447975174554864664802981589056272533978765479104328842774810531075395035448479880771306518231151836676526152889638368446163913231685310581362164519745104832194171738525173207940628720136356785368184044457805801
# 10^343-1, difficulty: 294.00, skewness: 1.00
skew: 1.000
c6: 1
c5: 1
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 10000000000000000000000000000000000000000000000000
type: snfs
rlim: 400000000
alim: 400000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.6
alambda: 2.6



Wenjie and Bo use rlim/alim 200000000 for memory reason.
Totally 907202001 raw relations are found, Kurt sieved about half of them. 
special-Q is from 47M to 369M.
The sieve effort could equal to about 25 CPU years on a modern CPU 
core thread [Intel(R) Core(TM) i7-3930K CPU @ 3.20 GHz].



The sieve effort for us is below,
Kurt          472.93M
Wenjie     114.42M
AlfredE    114.00M
AlfredR    100.33M
Maksym   66.37M
Bo            14.46M



Except AlfredE uses Linux binary gnfs-lasieve4I16e, others use 
Windows binary gnfs-lasieve4I16e.exe to collect the relations.
The postprocessing is done by Kurt on a 64 bit Windows 7 system.
The postprocessing log is attached.

10,343- c238=p90*p148
p90=108164182562832081427746076140676111780117904145681235787387789905399551977213797293596351

Currently, "Maksym Voznyy/Wenjie Fang/Alfred Eichhorn/Kurt Beschorner" are
factoring "R2700M/c197".

# R343.log

Tue Jul 12 17:07:19 2016  skipped 72235 relations with b > 2^32
Tue Jul 12 17:07:19 2016  skipped 1080 relations with composite factors
Tue Jul 12 17:07:19 2016  found 232711638 hash collisions in 907202001 relations
Tue Jul 12 17:07:19 2016  added 1 free relations
Tue Jul 12 17:07:19 2016  commencing duplicate removal, pass 2
Tue Jul 12 17:25:27 2016  found 195981692 duplicates and 711220310 unique relations
Tue Jul 12 17:25:27 2016  memory use: 5030.0 MB
Tue Jul 12 17:25:27 2016  reading ideals above 405864448
Tue Jul 12 17:25:27 2016  commencing singleton removal, initial pass
Tue Jul 12 20:22:58 2016  memory use: 11024.0 MB
Tue Jul 12 20:22:59 2016  reading all ideals from disk
Tue Jul 12 20:25:04 2016  memory use: 13421.8 MB
Tue Jul 12 20:26:43 2016  commencing in-memory singleton removal
Tue Jul 12 20:28:20 2016  begin with 711220310 relations and 620218678 unique ideals
Tue Jul 12 20:48:43 2016  reduce to 459322169 relations and 342756165 ideals in 16 passes
Tue Jul 12 20:48:43 2016  max relations containing the same ideal: 31
Tue Jul 12 20:50:15 2016  reading ideals above 720000
Tue Jul 12 20:50:17 2016  commencing singleton removal, initial pass
Tue Jul 12 23:21:28 2016  memory use: 11024.0 MB
Tue Jul 12 23:21:29 2016  reading all ideals from disk
Tue Jul 12 23:21:46 2016  memory use: 20651.9 MB
Tue Jul 12 23:24:27 2016  keeping 383577931 ideals with weight <= 200, target excess is 2442199
Tue Jul 12 23:27:09 2016  commencing in-memory singleton removal
Tue Jul 12 23:29:07 2016  begin with 459322169 relations and 383577931 unique ideals
Tue Jul 12 23:46:20 2016  reduce to 459321490 relations and 383577252 ideals in 7 passes
Tue Jul 12 23:46:20 2016  max relations containing the same ideal: 200
Tue Jul 12 23:54:58 2016  removing 16219899 relations and 14219899 ideals in 2000000 cliques
Tue Jul 12 23:55:09 2016  commencing in-memory singleton removal
Tue Jul 12 23:57:00 2016  begin with 443101591 relations and 383577252 unique ideals
Wed Jul 13 00:20:39 2016  reduce to 442658788 relations and 368911712 ideals in 10 passes
Wed Jul 13 00:20:39 2016  max relations containing the same ideal: 200
Wed Jul 13 00:29:01 2016  removing 12149856 relations and 10149856 ideals in 2000000 cliques
Wed Jul 13 00:29:11 2016  commencing in-memory singleton removal
Wed Jul 13 00:31:02 2016  begin with 430508932 relations and 368911712 unique ideals
Wed Jul 13 00:49:30 2016  reduce to 430235937 relations and 358487401 ideals in 8 passes
Wed Jul 13 00:49:30 2016  max relations containing the same ideal: 199
Wed Jul 13 00:57:38 2016  removing 10852245 relations and 8852245 ideals in 2000000 cliques
Wed Jul 13 00:57:48 2016  commencing in-memory singleton removal
Wed Jul 13 00:59:35 2016  begin with 419383692 relations and 358487401 unique ideals
Wed Jul 13 01:15:19 2016  reduce to 419158292 relations and 349408598 ideals in 7 passes
Wed Jul 13 01:15:19 2016  max relations containing the same ideal: 196
Wed Jul 13 01:23:12 2016  removing 10118052 relations and 8118052 ideals in 2000000 cliques
Wed Jul 13 01:23:22 2016  commencing in-memory singleton removal
Wed Jul 13 01:25:03 2016  begin with 409040240 relations and 349408598 unique ideals
Wed Jul 13 01:40:13 2016  reduce to 408837121 relations and 341086398 ideals in 7 passes
Wed Jul 13 01:40:13 2016  max relations containing the same ideal: 194
Wed Jul 13 01:47:53 2016  removing 9617835 relations and 7617835 ideals in 2000000 cliques
Wed Jul 13 01:48:02 2016  commencing in-memory singleton removal
Wed Jul 13 01:49:43 2016  begin with 399219286 relations and 341086398 unique ideals
Wed Jul 13 02:04:30 2016  reduce to 399030358 relations and 333278730 ideals in 7 passes
Wed Jul 13 02:04:30 2016  max relations containing the same ideal: 193
Wed Jul 13 02:11:58 2016  removing 9253432 relations and 7253432 ideals in 2000000 cliques
Wed Jul 13 02:12:06 2016  commencing in-memory singleton removal
Wed Jul 13 02:13:45 2016  begin with 389776926 relations and 333278730 unique ideals
Wed Jul 13 02:28:08 2016  reduce to 389596177 relations and 325843688 ideals in 7 passes
Wed Jul 13 02:28:08 2016  max relations containing the same ideal: 191
Wed Jul 13 02:35:25 2016  removing 8969557 relations and 6969557 ideals in 2000000 cliques
Wed Jul 13 02:35:34 2016  commencing in-memory singleton removal
Wed Jul 13 02:37:09 2016  begin with 380626620 relations and 325843688 unique ideals
Wed Jul 13 02:51:06 2016  reduce to 380452068 relations and 318698747 ideals in 7 passes
Wed Jul 13 02:51:06 2016  max relations containing the same ideal: 187
Wed Jul 13 02:58:09 2016  removing 8747322 relations and 6747322 ideals in 2000000 cliques
Wed Jul 13 02:58:17 2016  commencing in-memory singleton removal
Wed Jul 13 02:59:48 2016  begin with 371704746 relations and 318698747 unique ideals
Wed Jul 13 03:13:22 2016  reduce to 371533725 relations and 311779554 ideals in 7 passes
Wed Jul 13 03:13:22 2016  max relations containing the same ideal: 185
Wed Jul 13 03:20:17 2016  removing 8564882 relations and 6564882 ideals in 2000000 cliques
Wed Jul 13 03:20:25 2016  commencing in-memory singleton removal
Wed Jul 13 03:21:54 2016  begin with 362968843 relations and 311779554 unique ideals
Wed Jul 13 03:35:06 2016  reduce to 362802551 relations and 305047529 ideals in 7 passes
Wed Jul 13 03:35:06 2016  max relations containing the same ideal: 183
Wed Jul 13 03:41:50 2016  removing 8417050 relations and 6417050 ideals in 2000000 cliques
Wed Jul 13 03:41:58 2016  commencing in-memory singleton removal
Wed Jul 13 03:43:24 2016  begin with 354385501 relations and 305047529 unique ideals
Wed Jul 13 03:56:12 2016  reduce to 354220115 relations and 298464269 ideals in 7 passes
Wed Jul 13 03:56:12 2016  max relations containing the same ideal: 180
Wed Jul 13 04:02:44 2016  removing 8294678 relations and 6294678 ideals in 2000000 cliques
Wed Jul 13 04:02:52 2016  commencing in-memory singleton removal
Wed Jul 13 04:04:14 2016  begin with 345925437 relations and 298464269 unique ideals
Wed Jul 13 04:14:55 2016  reduce to 345761255 relations and 292004560 ideals in 6 passes
Wed Jul 13 04:14:55 2016  max relations containing the same ideal: 179
Wed Jul 13 04:21:17 2016  removing 8188275 relations and 6188275 ideals in 2000000 cliques
Wed Jul 13 04:21:25 2016  commencing in-memory singleton removal
Wed Jul 13 04:22:45 2016  begin with 337572980 relations and 292004560 unique ideals
Wed Jul 13 04:33:06 2016  reduce to 337407758 relations and 285650116 ideals in 6 passes
Wed Jul 13 04:33:06 2016  max relations containing the same ideal: 175
Wed Jul 13 04:39:19 2016  removing 8106384 relations and 6106384 ideals in 2000000 cliques
Wed Jul 13 04:39:27 2016  commencing in-memory singleton removal
Wed Jul 13 04:40:44 2016  begin with 329301374 relations and 285650116 unique ideals
Wed Jul 13 04:50:39 2016  reduce to 329137504 relations and 279378960 ideals in 6 passes
Wed Jul 13 04:50:39 2016  max relations containing the same ideal: 173
Wed Jul 13 04:56:36 2016  removing 8030100 relations and 6030100 ideals in 2000000 cliques
Wed Jul 13 04:56:44 2016  commencing in-memory singleton removal
Wed Jul 13 04:57:59 2016  begin with 321107404 relations and 279378960 unique ideals
Wed Jul 13 05:07:40 2016  reduce to 320942057 relations and 273182549 ideals in 6 passes
Wed Jul 13 05:07:40 2016  max relations containing the same ideal: 170
Wed Jul 13 05:13:28 2016  removing 7972340 relations and 5972340 ideals in 2000000 cliques
Wed Jul 13 05:13:35 2016  commencing in-memory singleton removal
Wed Jul 13 05:14:47 2016  begin with 312969717 relations and 273182549 unique ideals
Wed Jul 13 05:25:42 2016  reduce to 312802098 relations and 267041569 ideals in 7 passes
Wed Jul 13 05:25:42 2016  max relations containing the same ideal: 167
Wed Jul 13 05:31:21 2016  removing 7922902 relations and 5922902 ideals in 2000000 cliques
Wed Jul 13 05:31:28 2016  commencing in-memory singleton removal
Wed Jul 13 05:32:39 2016  begin with 304879196 relations and 267041569 unique ideals
Wed Jul 13 05:43:13 2016  reduce to 304710859 relations and 260949279 ideals in 7 passes
Wed Jul 13 05:43:13 2016  max relations containing the same ideal: 164
Wed Jul 13 05:48:46 2016  removing 7883711 relations and 5883711 ideals in 2000000 cliques
Wed Jul 13 05:48:53 2016  commencing in-memory singleton removal
Wed Jul 13 05:49:59 2016  begin with 296827148 relations and 260949279 unique ideals
Wed Jul 13 05:58:48 2016  reduce to 296654664 relations and 254892030 ideals in 6 passes
Wed Jul 13 05:58:48 2016  max relations containing the same ideal: 161
Wed Jul 13 06:04:13 2016  removing 7849505 relations and 5849505 ideals in 2000000 cliques
Wed Jul 13 06:04:20 2016  commencing in-memory singleton removal
Wed Jul 13 06:05:27 2016  begin with 288805159 relations and 254892030 unique ideals
Wed Jul 13 06:15:29 2016  reduce to 288630675 relations and 248866932 ideals in 7 passes
Wed Jul 13 06:15:29 2016  max relations containing the same ideal: 157
Wed Jul 13 06:20:45 2016  removing 7828572 relations and 5828572 ideals in 2000000 cliques
Wed Jul 13 06:20:52 2016  commencing in-memory singleton removal
Wed Jul 13 06:21:56 2016  begin with 280802103 relations and 248866932 unique ideals
Wed Jul 13 06:30:14 2016  reduce to 280624421 relations and 242859440 ideals in 6 passes
Wed Jul 13 06:30:14 2016  max relations containing the same ideal: 155
Wed Jul 13 06:35:20 2016  removing 7811176 relations and 5811176 ideals in 2000000 cliques
Wed Jul 13 06:35:27 2016  commencing in-memory singleton removal
Wed Jul 13 06:36:28 2016  begin with 272813245 relations and 242859440 unique ideals
Wed Jul 13 06:45:46 2016  reduce to 272630289 relations and 236864081 ideals in 7 passes
Wed Jul 13 06:45:46 2016  max relations containing the same ideal: 153
Wed Jul 13 06:50:39 2016  removing 7799864 relations and 5799864 ideals in 2000000 cliques
Wed Jul 13 06:50:46 2016  commencing in-memory singleton removal
Wed Jul 13 06:51:46 2016  begin with 264830425 relations and 236864081 unique ideals
Wed Jul 13 06:59:28 2016  reduce to 264642762 relations and 230875180 ideals in 6 passes
Wed Jul 13 06:59:28 2016  max relations containing the same ideal: 149
Wed Jul 13 07:04:16 2016  removing 7794792 relations and 5794792 ideals in 2000000 cliques
Wed Jul 13 07:04:22 2016  commencing in-memory singleton removal
Wed Jul 13 07:05:20 2016  begin with 256847970 relations and 230875180 unique ideals
Wed Jul 13 07:13:56 2016  reduce to 256656192 relations and 224887256 ideals in 7 passes
Wed Jul 13 07:13:56 2016  max relations containing the same ideal: 147
Wed Jul 13 07:18:31 2016  removing 7803957 relations and 5803957 ideals in 2000000 cliques
Wed Jul 13 07:18:37 2016  commencing in-memory singleton removal
Wed Jul 13 07:19:31 2016  begin with 248852235 relations and 224887256 unique ideals
Wed Jul 13 07:27:55 2016  reduce to 248654434 relations and 218884030 ideals in 7 passes
Wed Jul 13 07:27:55 2016  max relations containing the same ideal: 143
Wed Jul 13 07:32:24 2016  removing 7812599 relations and 5812599 ideals in 2000000 cliques
Wed Jul 13 07:32:30 2016  commencing in-memory singleton removal
Wed Jul 13 07:33:22 2016  begin with 240841835 relations and 218884030 unique ideals
Wed Jul 13 07:41:18 2016  reduce to 240636808 relations and 212864801 ideals in 7 passes
Wed Jul 13 07:41:18 2016  max relations containing the same ideal: 140
Wed Jul 13 07:45:33 2016  removing 7825174 relations and 5825174 ideals in 2000000 cliques
Wed Jul 13 07:45:39 2016  commencing in-memory singleton removal
Wed Jul 13 07:46:29 2016  begin with 232811634 relations and 212864801 unique ideals
Wed Jul 13 07:54:07 2016  reduce to 232599622 relations and 206825897 ideals in 7 passes
Wed Jul 13 07:54:07 2016  max relations containing the same ideal: 139
Wed Jul 13 07:58:12 2016  removing 7848161 relations and 5848161 ideals in 2000000 cliques
Wed Jul 13 07:58:18 2016  commencing in-memory singleton removal
Wed Jul 13 07:59:04 2016  begin with 224751461 relations and 206825897 unique ideals
Wed Jul 13 08:05:18 2016  reduce to 224531330 relations and 200755823 ideals in 6 passes
Wed Jul 13 08:05:18 2016  max relations containing the same ideal: 138
Wed Jul 13 08:09:17 2016  removing 7875947 relations and 5875947 ideals in 2000000 cliques
Wed Jul 13 08:09:23 2016  commencing in-memory singleton removal
Wed Jul 13 08:10:09 2016  begin with 216655383 relations and 200755823 unique ideals
Wed Jul 13 08:17:11 2016  reduce to 216427093 relations and 194649740 ideals in 7 passes
Wed Jul 13 08:17:11 2016  max relations containing the same ideal: 133
Wed Jul 13 08:21:03 2016  removing 7911358 relations and 5911358 ideals in 2000000 cliques
Wed Jul 13 08:21:08 2016  commencing in-memory singleton removal
Wed Jul 13 08:21:52 2016  begin with 208515735 relations and 194649740 unique ideals
Wed Jul 13 08:28:32 2016  reduce to 208274418 relations and 188494962 ideals in 7 passes
Wed Jul 13 08:28:32 2016  max relations containing the same ideal: 128
Wed Jul 13 08:32:06 2016  removing 7953966 relations and 5953966 ideals in 2000000 cliques
Wed Jul 13 08:32:12 2016  commencing in-memory singleton removal
Wed Jul 13 08:32:52 2016  begin with 200320452 relations and 188494962 unique ideals
Wed Jul 13 08:39:08 2016  reduce to 200068220 relations and 182286420 ideals in 7 passes
Wed Jul 13 08:39:08 2016  max relations containing the same ideal: 124
Wed Jul 13 08:42:37 2016  removing 8007147 relations and 6007147 ideals in 2000000 cliques
Wed Jul 13 08:42:42 2016  commencing in-memory singleton removal
Wed Jul 13 08:43:22 2016  begin with 192061073 relations and 182286420 unique ideals
Wed Jul 13 08:49:21 2016  reduce to 191795031 relations and 176010867 ideals in 7 passes
Wed Jul 13 08:49:21 2016  max relations containing the same ideal: 122
Wed Jul 13 08:52:42 2016  removing 8069948 relations and 6069948 ideals in 2000000 cliques
Wed Jul 13 08:52:47 2016  commencing in-memory singleton removal
Wed Jul 13 08:53:22 2016  begin with 183725083 relations and 176010867 unique ideals
Wed Jul 13 08:59:00 2016  reduce to 183442934 relations and 169655952 ideals in 7 passes
Wed Jul 13 08:59:00 2016  max relations containing the same ideal: 118
Wed Jul 13 09:02:09 2016  removing 8138552 relations and 6138552 ideals in 2000000 cliques
Wed Jul 13 09:02:14 2016  commencing in-memory singleton removal
Wed Jul 13 09:02:49 2016  begin with 175304382 relations and 169655952 unique ideals
Wed Jul 13 09:08:21 2016  reduce to 175005028 relations and 163215217 ideals in 7 passes
Wed Jul 13 09:08:21 2016  max relations containing the same ideal: 115
Wed Jul 13 09:11:29 2016  removing 8218303 relations and 6218303 ideals in 2000000 cliques
Wed Jul 13 09:11:33 2016  commencing in-memory singleton removal
Wed Jul 13 09:12:06 2016  begin with 166786725 relations and 163215217 unique ideals
Wed Jul 13 09:17:11 2016  reduce to 166467060 relations and 156674012 ideals in 7 passes
Wed Jul 13 09:17:11 2016  max relations containing the same ideal: 113
Wed Jul 13 09:20:04 2016  removing 8317201 relations and 6317201 ideals in 2000000 cliques
Wed Jul 13 09:20:09 2016  commencing in-memory singleton removal
Wed Jul 13 09:20:39 2016  begin with 158149859 relations and 156674012 unique ideals
Wed Jul 13 09:26:04 2016  reduce to 157801009 relations and 150004459 ideals in 8 passes
Wed Jul 13 09:26:04 2016  max relations containing the same ideal: 108
Wed Jul 13 09:28:44 2016  removing 8423774 relations and 6423774 ideals in 2000000 cliques
Wed Jul 13 09:28:49 2016  commencing in-memory singleton removal
Wed Jul 13 09:29:16 2016  begin with 149377235 relations and 150004459 unique ideals
Wed Jul 13 09:33:38 2016  reduce to 149002263 relations and 143201462 ideals in 7 passes
Wed Jul 13 09:33:38 2016  max relations containing the same ideal: 106
Wed Jul 13 09:36:09 2016  removing 8544017 relations and 6544017 ideals in 2000000 cliques
Wed Jul 13 09:36:13 2016  commencing in-memory singleton removal
Wed Jul 13 09:36:39 2016  begin with 140458246 relations and 143201462 unique ideals
Wed Jul 13 09:40:43 2016  reduce to 140048378 relations and 136242827 ideals in 7 passes
Wed Jul 13 09:40:43 2016  max relations containing the same ideal: 100
Wed Jul 13 09:43:04 2016  removing 4849296 relations and 3876696 ideals in 972600 cliques
Wed Jul 13 09:43:08 2016  commencing in-memory singleton removal
Wed Jul 13 09:43:34 2016  begin with 135199082 relations and 136242827 unique ideals
Wed Jul 13 09:47:54 2016  reduce to 135069639 relations and 132235955 ideals in 8 passes
Wed Jul 13 09:47:54 2016  max relations containing the same ideal: 97
Wed Jul 13 09:50:32 2016  relations with 0 large ideals: 187154
Wed Jul 13 09:50:32 2016  relations with 1 large ideals: 31793
Wed Jul 13 09:50:32 2016  relations with 2 large ideals: 382846
Wed Jul 13 09:50:32 2016  relations with 3 large ideals: 2639286
Wed Jul 13 09:50:32 2016  relations with 4 large ideals: 10054883
Wed Jul 13 09:50:32 2016  relations with 5 large ideals: 23238912
Wed Jul 13 09:50:32 2016  relations with 6 large ideals: 34107169
Wed Jul 13 09:50:32 2016  relations with 7+ large ideals: 64427596
Wed Jul 13 09:50:32 2016  commencing 2-way merge
Wed Jul 13 09:53:43 2016  reduce to 84870620 relation sets and 82036936 unique ideals
Wed Jul 13 09:53:43 2016  commencing full merge
Wed Jul 13 11:08:28 2016  memory use: 11442.7 MB
Wed Jul 13 11:09:02 2016  found 37890526 cycles, need 37793136
Wed Jul 13 11:09:05 2016  weight of 37793136 cycles is about 4724167255 (125.00/cycle)
Wed Jul 13 11:09:05 2016  distribution of cycle lengths:
Wed Jul 13 11:09:05 2016  1 relations: 2924211
Wed Jul 13 11:09:05 2016  2 relations: 2691073
Wed Jul 13 11:09:05 2016  3 relations: 2601327
Wed Jul 13 11:09:05 2016  4 relations: 2536163
Wed Jul 13 11:09:05 2016  5 relations: 2505065
Wed Jul 13 11:09:05 2016  6 relations: 2448219
Wed Jul 13 11:09:05 2016  7 relations: 2383433
Wed Jul 13 11:09:05 2016  8 relations: 2292920
Wed Jul 13 11:09:05 2016  9 relations: 2191243
Wed Jul 13 11:09:05 2016  10+ relations: 15219482
Wed Jul 13 11:09:05 2016  heaviest cycle: 28 relations
Wed Jul 13 11:13:39 2016  commencing cycle optimization
Wed Jul 13 11:16:43 2016  start with 332269025 relations
Wed Jul 13 11:46:50 2016  pruned 13416070 relations
Wed Jul 13 11:46:50 2016  memory use: 8951.3 MB
Wed Jul 13 11:46:51 2016  distribution of cycle lengths:
Wed Jul 13 11:46:51 2016  1 relations: 2924211
Wed Jul 13 11:46:51 2016  2 relations: 2743795
Wed Jul 13 11:46:51 2016  3 relations: 2694751
Wed Jul 13 11:46:51 2016  4 relations: 2624957
Wed Jul 13 11:46:51 2016  5 relations: 2611694
Wed Jul 13 11:46:51 2016  6 relations: 2546960
Wed Jul 13 11:46:51 2016  7 relations: 2489032
Wed Jul 13 11:46:51 2016  8 relations: 2386575
Wed Jul 13 11:46:51 2016  9 relations: 2282103
Wed Jul 13 11:46:51 2016  10+ relations: 14489058
Wed Jul 13 11:46:51 2016  heaviest cycle: 28 relations
Wed Jul 13 11:52:19 2016  RelProcTime: 84489
Wed Jul 13 11:52:19 2016  
Wed Jul 13 11:52:19 2016  commencing linear algebra
Wed Jul 13 11:52:50 2016  read 37793136 cycles
Wed Jul 13 11:55:34 2016  cycles contain 133464130 unique relations
Wed Jul 13 12:30:45 2016  read 133464130 relations
Wed Jul 13 12:38:53 2016  using 20 quadratic characters above 4294917296
Wed Jul 13 12:51:23 2016  building initial matrix
Wed Jul 13 13:51:52 2016  memory use: 16791.6 MB
Wed Jul 13 13:55:16 2016  read 37793136 cycles
Wed Jul 13 13:55:31 2016  matrix is 37792959 x 37793136 (18502.7 MB) with weight 5216342400 (138.02/col)
Wed Jul 13 13:55:31 2016  sparse part has weight 4434650172 (117.34/col)
Wed Jul 13 14:13:12 2016  filtering completed in 2 passes
Wed Jul 13 14:13:27 2016  matrix is 37792085 x 37792262 (18502.6 MB) with weight 5216314755 (138.03/col)
Wed Jul 13 14:13:27 2016  sparse part has weight 4434640950 (117.34/col)
Wed Jul 13 14:22:57 2016  matrix starts at (0, 0)
Wed Jul 13 14:23:11 2016  matrix is 37792085 x 37792262 (18502.6 MB) with weight 5216314755 (138.03/col)
Wed Jul 13 14:23:11 2016  sparse part has weight 4434640950 (117.34/col)
Wed Jul 13 14:23:11 2016  saving the first 48 matrix rows for later
Wed Jul 13 14:23:35 2016  matrix includes 64 packed rows
Wed Jul 13 14:23:44 2016  matrix is 37792037 x 37792262 (17789.5 MB) with weight 4548076717 (120.34/col)
Wed Jul 13 14:23:44 2016  sparse part has weight 4285489422 (113.40/col)
Wed Jul 13 14:23:45 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jul 13 14:33:35 2016  commencing Lanczos iteration (12 threads)
Wed Jul 13 14:33:35 2016  memory use: 15680.2 MB
Wed Jul 13 14:37:42 2016  linear algebra at 0.0%, ETA 1616h34m
Wed Jul 13 14:39:01 2016  checkpointing every 30000 dimensions
Thu Jul 14 04:57:56 2016  
Thu Jul 14 04:57:56 2016  
Thu Jul 14 04:57:56 2016  Msieve v. 1.53 (SVN unknown)
Thu Jul 14 04:57:56 2016  random seeds: 5d5bd310 333accbc
Thu Jul 14 04:57:56 2016  factoring 1041538392663678721744627767447975174554864664802981589056272533978765479104328842774810531075395035448479880771306518231151836676526152889638368446163913231685310581362164519745104832194171738525173207940628720136356785368184044457805801 (238 digits)
Thu Jul 14 04:57:58 2016  no P-1/P+1/ECM available, skipping
Thu Jul 14 04:57:58 2016  commencing number field sieve (238-digit input)
Thu Jul 14 04:57:58 2016  R0: 10000000000000000000000000000000000000000000000000
Thu Jul 14 04:57:58 2016  R1: -1
Thu Jul 14 04:57:58 2016  A0: 1
Thu Jul 14 04:57:58 2016  A1: 1
Thu Jul 14 04:57:58 2016  A2: 1
Thu Jul 14 04:57:58 2016  A3: 1
Thu Jul 14 04:57:58 2016  A4: 1
Thu Jul 14 04:57:58 2016  A5: 1
Thu Jul 14 04:57:58 2016  A6: 1
Thu Jul 14 04:57:58 2016  skew 1.00, size 1.945e-014, alpha 2.428, combined = 5.590e-015 rroots = 0
Thu Jul 14 04:57:58 2016  
Thu Jul 14 04:57:58 2016  commencing linear algebra
Thu Jul 14 05:01:06 2016  matrix starts at (0, 0)
Thu Jul 14 05:01:17 2016  matrix is 37792085 x 37792262 (18502.6 MB) with weight 5216314755 (138.03/col)
Thu Jul 14 05:01:17 2016  sparse part has weight 4434640950 (117.34/col)
Thu Jul 14 05:01:17 2016  saving the first 48 matrix rows for later
Thu Jul 14 05:01:29 2016  matrix includes 64 packed rows
Thu Jul 14 05:01:36 2016  matrix is 37792037 x 37792262 (17789.5 MB) with weight 4548076717 (120.34/col)
Thu Jul 14 05:01:36 2016  sparse part has weight 4285489422 (113.40/col)
Thu Jul 14 05:01:36 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Jul 14 05:06:58 2016  commencing Lanczos iteration (12 threads)
Thu Jul 14 05:06:58 2016  memory use: 15680.2 MB
Thu Jul 14 05:07:11 2016  restarting at iteration 4270 (dim = 270054)
Thu Jul 14 05:10:08 2016  linear algebra at 0.7%, ETA 1212h 4m
Thu Jul 14 05:11:02 2016  checkpointing every 40000 dimensions
Fri Sep 02 07:59:48 2016  lanczos halted after 597629 iterations (dim = 37792035)
Fri Sep 02 08:00:24 2016  recovered 39 nontrivial dependencies
Fri Sep 02 08:01:35 2016  BLanczosTime: 4331017
Fri Sep 02 08:01:35 2016  elapsed time 1203:03:39
Fri Sep 02 08:02:22 2016  
Fri Sep 02 08:02:22 2016  Msieve v. 1.53 (SVN unknown)
Fri Sep 02 08:02:22 2016  random seeds: 53dba458 2803413d
Fri Sep 02 08:02:22 2016  factoring 1041538392663678721744627767447975174554864664802981589056272533978765479104328842774810531075395035448479880771306518231151836676526152889638368446163913231685310581362164519745104832194171738525173207940628720136356785368184044457805801 (238 digits)
Fri Sep 02 08:02:23 2016  no P-1/P+1/ECM available, skipping
Fri Sep 02 08:02:23 2016  commencing number field sieve (238-digit input)
Fri Sep 02 08:02:23 2016  R0: 10000000000000000000000000000000000000000000000000
Fri Sep 02 08:02:23 2016  R1: -1
Fri Sep 02 08:02:23 2016  A0: 1
Fri Sep 02 08:02:23 2016  A1: 1
Fri Sep 02 08:02:23 2016  A2: 1
Fri Sep 02 08:02:23 2016  A3: 1
Fri Sep 02 08:02:23 2016  A4: 1
Fri Sep 02 08:02:23 2016  A5: 1
Fri Sep 02 08:02:23 2016  A6: 1
Fri Sep 02 08:02:23 2016  skew 1.00, size 1.945e-014, alpha 2.428, combined = 5.590e-015 rroots = 0
Fri Sep 02 08:02:23 2016  
Fri Sep 02 08:02:23 2016  commencing square root phase
Fri Sep 02 08:02:23 2016  handling dependencies 1 to 64
Fri Sep 02 08:02:23 2016  reading relations for dependency 1
Fri Sep 02 08:02:47 2016  read 18891611 cycles
Fri Sep 02 08:03:32 2016  cycles contain 66733608 unique relations
Fri Sep 02 08:24:56 2016  read 66733608 relations
Fri Sep 02 08:34:43 2016  multiplying 66733608 relations
Fri Sep 02 10:23:03 2016  multiply complete, coefficients have about 1843.03 million bits
Fri Sep 02 10:23:26 2016  initial square root is modulo 185062181
Fri Sep 02 12:21:17 2016  sqrtTime: 15534
Fri Sep 02 12:21:17 2016  prp90 factor: 108164182562832081427746076140676111780117904145681235787387789905399551977213797293596351
Fri Sep 02 12:21:17 2016  prp148 factor: 9629235556406611857650195218600476538144804813919226550962087129420209841171513191629905668596180108950582877533858087255532817046381504168675076951
Fri Sep 02 12:21:17 2016  elapsed time 04:18:55

# See also: http://blog.sina.com.cn/s/blog_571ae3fa0102vxmi.html

# c238 was the 3rd composite factor.

# 1126 of 200000 Φn(10) factorization were finished. 200000 個中 1126 個の Φn(10) の素因数分解が終わりました。

plain text versionプレーンテキスト版
Previous month前月 | September 2003 2003 年 9 月 | June 6 月 July 7 月 August 8 月 September 2016 2016 年 9 月 October 10 月 November 11 月 December 12 月 | Recent changes 最近の更新 | Next month翌月