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October 31, 2018 2018 年 10 月 31 日 (Makoto Kamada)

n=113816: c55336(8605159528......) = 31964411750473 * c55323(2692106332......)

n=113818: c56891(1332737890......) = 14348339997437304025957 * c56868(9288446544......)

n=113824: c56878(1616020458......) = 16782230459270783489 * c56858(9629354470......)

n=113836: c56241(1009999999......) = 5899809004129241 * c56225(1711919825......)

n=113842: c56909(4943073055......) = 20967400320703 * c56896(2357504020......)

n=113852: c56924(9900990099......) = 17951857602910047569 * c56905(5515301156......)

n=113864: c55426(1993334241......) = 15080118783089 * c55413(1321829270......)

n=113872: c51669(1006433462......) = 9274848181427489 * c51653(1085121225......)

n=113888: c56928(9999999999......) = 780076647447231137 * c56911(1281925312......)

# P-1 B1=1e6

# 140588 of 200000 Φn(10) factorizations were cracked. 200000 個中 140588 個の Φn(10) の素因数が見つかりました。

October 30, 2018 2018 年 10 月 30 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=83023: c83023(1111111111......) = 500264093290976080733 * c83002(2221049093......)

# ECM B1=11e3, sigma=11937734603016540001

# 140585 of 200000 Φn(10) factorizations were cracked. 200000 個中 140585 個の Φn(10) の素因数が見つかりました。

# 13860 of 17984 Rprime factorizations were cracked. 17984 個中 13860 個の Rprime の素因数が見つかりました。

October 30, 2018 2018 年 10 月 30 日 (Makoto Kamada)

n=113732: c56855(4433912955......) = 210753553427701 * 3433973208351149 * c56825(6126541147......)

n=113746: c56846(4532845384......) = 19902468962099 * c56833(2277529181......)

n=113762: c51680(1702419724......) = 20361364379111801 * c51663(8361029709......)

n=113776: c52411(8789122669......) = 2557832463822042126721 * c52390(3436160418......)

n=113782: c56878(3879518037......) = 40195474555801537810080289 * c56852(9651628896......)

n=113786: c56892(9090909090......) = 182151277965653 * c56878(4990856606......)

# P-1 B1=1e6

# 140584 of 200000 Φn(10) factorizations were cracked. 200000 個中 140584 個の Φn(10) の素因数が見つかりました。

October 29, 2018 2018 年 10 月 29 日 (Makoto Kamada)

n=113686: c56842(9090909090......) = 2009714549714030644201 * c56821(4523482746......)

n=113698: c52465(1099999999......) = 444683554021039994207 * c52444(2473669174......)

n=113702: c56297(1502237876......) = 1791337608068207 * c56281(8386123699......)

# P-1 B1=1e6

# 140583 of 200000 Φn(10) factorizations were cracked. 200000 個中 140583 個の Φn(10) の素因数が見つかりました。

October 28, 2018 2018 年 10 月 28 日 (Makoto Kamada)

n=113546: c56758(3031200554......) = 29526584842127 * c56745(1026600458......)

n=113558: c56765(2365676543......) = 23159387697059 * 635601643108626822769 * c56731(1607101400......)

n=113565: c59116(1049397984......) = 1928593780203361 * c59100(5441259820......)

n=113566: c56777(8004886182......) = 84826050042206474792717397847 * c56748(9436825336......)

n=113572: c56778(8717801378......) = 14879868402601 * c56765(5858789299......)

n=113576: c56784(9999000099......) = 107208859931489 * 2245351399838680360919353 * c56746(4153761692......)

n=113584: c54712(4856071127......) = 771378832489443809 * c54694(6295312916......)

n=113608: c51601(1000099999......) = 13064004948567497 * c51584(7655385955......)

n=113618: c56808(9090909090......) = 2049513244447093 * c56793(4435643007......)

n=113636: c56806(4043146186......) = 7790014196726769402108521 * c56781(5190165362......)

n=113644: c56820(9900990099......) = 22359968625289 * 214295044102147469 * c56790(2066309198......)

# P-1 B1=1e6

# 140581 of 200000 Φn(10) factorizations were cracked. 200000 個中 140581 個の Φn(10) の素因数が見つかりました。

October 27, 2018 2018 年 10 月 27 日 (Makoto Kamada)

n=113462: c56730(9090909090......) = 216944478355079659 * c56713(4190431192......)

n=113475: c56282(2943678260......) = 12164686127401 * 65908062011401 * c56255(3671562209......)

n=113482: c54253(1099999999......) = 76547182376254771 * c54236(1437022194......)

n=113486: c56226(2511435369......) = 684354309881567794049783 * c56202(3669788198......)

n=113488: c55041(1000000009......) = 80125158311377 * c55027(1248047468......)

n=113492: c53362(5867072895......) = 38982767842241 * c53349(1505042668......)

n=113522: c54884(4556969043......) = 128210704931978651 * c54867(3554281248......)

n=113534: c56760(8896894512......) = 63077350513814931677 * c56741(1410473718......)

# P-1 B1=1e6

# 140577 of 200000 Φn(10) factorizations were cracked. 200000 個中 140577 個の Φn(10) の素因数が見つかりました。

October 26, 2018 2018 年 10 月 26 日 (Makoto Kamada)

n=113368: c54996(1691625250......) = 22658617199640529 * c54979(7465703823......)

n=113374: c56650(8925413319......) = 32960660458213 * c56637(2707898808......)

n=113378: c55918(1732510191......) = 3143660237270168081891 * c55896(5511124169......)

n=113384: c56671(1455279191......) = 20541391393337 * c56657(7084618384......)

n=113396: c56678(4105232922......) = 1002858682469036689 * c56660(4093530817......)

n=113402: c56700(9090909090......) = 1559885840218143617486357 * c56676(5827932311......)

n=113404: c56694(5820479159......) = 98236616109949 * 110676671450129 * c56666(5353394579......)

n=113421: c58781(7660153486......) = 151734341613191569 * c58764(5048398012......)

n=113432: c51514(1049611320......) = 380996116561897 * 2879669063310061390369 * c51477(9566770956......)

n=113458: c51505(9177584991......) = 5320484451297177528367 * c51484(1724952882......)

# P-1 B1=1e6

# 140574 of 200000 Φn(10) factorizations were cracked. 200000 個中 140574 個の Φn(10) の素因数が見つかりました。

October 25, 2018 2018 年 10 月 25 日 (Makoto Kamada)

n=113272: c56627(2942466121......) = 51513184907645833 * c56610(5712064060......)

n=113276: c56636(9900990099......) = 73334510058163169 * c56620(1350113349......)

n=113284: c55945(1009999999......) = 21006872884699037081 * c55925(4807950262......)

n=113294: c55074(1116005867......) = 96093449485874779 * c55057(1161375591......)

n=113306: c56152(2181133167......) = 8408188148213266134607289 * c56127(2594058469......)

n=113314: c55537(1099999999......) = 9038193975283602447281 * c55515(1217057304......)

n=113338: c55681(1099999999......) = 165209361182413739 * c55663(6658218348......)

n=113348: c55253(5044607234......) = 8546583451539444089 * c55234(5902484031......)

n=113354: c53353(1000000000......) = 129805202044801 * c53338(7703851496......)

n=113355: c54710(7643689438......) = 69116197151281230537841 * c54688(1105918692......)

# P-1 B1=1e6

# 140573 of 200000 Φn(10) factorizations were cracked. 200000 個中 140573 個の Φn(10) の素因数が見つかりました。

October 24, 2018 2018 年 10 月 24 日 (Makoto Kamada)

n=113186: c53242(2945004188......) = 29505003406635413 * 60559563425641927 * c53209(1648190900......)

n=113194: c56573(1328434152......) = 8373135574971913878282851 * c56548(1586543225......)

n=113228: c56584(1728391052......) = 51421217402969 * c56570(3361241020......)

n=113234: c51461(1099999999......) = 3782948694019771 * c51445(2907784611......)

n=113252: c54114(1372025167......) = 924442333132861 * c54099(1484165229......)

n=113258: c56628(9090909090......) = 19944740341895339 * c56612(4558048355......)

# P-1 B1=1e6

# 140568 of 200000 Φn(10) factorizations were cracked. 200000 個中 140568 個の Φn(10) の素因数が見つかりました。

October 23, 2018 2018 年 10 月 23 日 (Makoto Kamada)

n=113122: c56053(1099999999......) = 20839619681197 * c56039(5278407268......)

n=113128: c55531(1262916768......) = 1276047523649441 * c55515(9897098225......)

n=113138: c56559(6639596215......) = 2493056064517741030572449 * c56535(2663235821......)

n=113145: c57024(9009099100......) = 221988381656071 * c57010(4058365141......)

n=113156: c56567(6366774855......) = 13621165381381 * c56554(4674177779......)

n=113158: c54574(6392716194......) = 1351216012105708291 * c54556(4731083806......)

n=113168: c51350(1435845067......) = 589898547758854207646845073 * c51323(2434054249......)

# P-1 B1=1e6

# 140566 of 200000 Φn(10) factorizations were cracked. 200000 個中 140566 個の Φn(10) の素因数が見つかりました。

October 22, 2018 2018 年 10 月 22 日 (Makoto Kamada)

n=113038: c56506(3152001083......) = 1694544059764531 * c56491(1860088007......)

n=113042: c54520(3003317810......) = 1063684695792550334413 * c54499(2823503828......)

n=113044: c55449(1009999999......) = 15654197538417721 * c55432(6451943624......)

n=113048: c52123(1474445258......) = 1219575827142713 * c52108(1208982029......)

n=113056: c56494(5084912976......) = 426116316861889 * c56480(1193315715......)

n=113068: c54027(1488777418......) = 61736448441725792567448529 * c54001(2411504802......)

n=113074: c52165(2464564833......) = 1619365728300659 * 2678905563584407 * c52134(5681171494......)

# P-1 B1=1e6

# 140564 of 200000 Φn(10) factorizations were cracked. 200000 個中 140564 個の Φn(10) の素因数が見つかりました。

October 21, 2018 2018 年 10 月 21 日 (Makoto Kamada)

n=112946: c56472(9090909090......) = 312537885303317 * c56458(2908738274......)

n=112976: c53857(1000000009......) = 73341748382401 * c53843(1363479917......)

n=112978: c56473(5384000659......) = 195834754655201 * c56459(2749256978......)

n=112982: c53139(2807870811......) = 2965530444294277 * c53123(9468359418......)

n=112995: c58321(1000000000......) = 118475742926521 * c58306(8440546354......)

n=113018: c56508(9090909090......) = 37353260655338264251 * c56489(2433765869......)

n=113024: c56424(1493091445......) = 334131460526934529 * c56406(4468574863......)

# P-1 B1=1e6

# 140563 of 200000 Φn(10) factorizations were cracked. 200000 個中 140563 個の Φn(10) の素因数が見つかりました。

October 20, 2018 2018 年 10 月 20 日 (Makoto Kamada)

n=112912: c56427(3958222536......) = 8385010982421137 * c56411(4720593144......)

n=112916: c56436(4118177122......) = 186313925366341 * 2240305246199549 * c56406(9866258952......)

n=112934: c56460(5749820591......) = 2114388074732041 * c56445(2719378083......)

n=112936: c53425(1000099999......) = 910826039977753 * c53410(1098014281......)

# P-1 B1=1e6

# 140559 of 200000 Φn(10) factorizations were cracked. 200000 個中 140559 個の Φn(10) の素因数が見つかりました。

October 19, 2018 2018 年 10 月 19 日 (Makoto Kamada)

n=112822: c53425(1099999999......) = 119034076346921 * c53410(9241051249......)

n=112828: c55441(1009999999......) = 319362230540209 * c55426(3162553061......)

n=112846: c53074(1529143101......) = 17462866703687 * c53060(8756541105......)

n=112858: c55556(3133579739......) = 600646001182289 * c55541(5217015901......)

n=112864: c56416(9999999999......) = 10491785861153 * c56403(9531265822......)

n=112886: c56436(3834844447......) = 105642320540717 * c56422(3630026704......)

n=112892: c51780(3565743655......) = 22249742186743405361 * c51761(1602599987......)

n=112898: c53455(1948658171......) = 20749325278283136053 * c53435(9391429097......)

# P-1 B1=1e6

# 140558 of 200000 Φn(10) factorizations were cracked. 200000 個中 140558 個の Φn(10) の素因数が見つかりました。

October 18, 2018 2018 年 10 月 18 日 (Makoto Kamada)

n=112762: c52027(1625840818......) = 20911995256049 * 117574660171411 * c51999(6612547715......)

n=112772: c51041(1000000000......) = 22642466959302657721 * c51021(4416479890......)

n=112774: c55762(4659106139......) = 72740014004849 * c55748(6405148807......)

n=112778: c50873(1529580378......) = 76610612855100315416011 * c50850(1996564602......)

n=112792: c53857(1000099999......) = 16959587955833 * c53843(5896959304......)

n=112804: c56400(9900990099......) = 46429549837323241 * c56384(2132476005......)

# P-1 B1=1e6

# 140555 of 200000 Φn(10) factorizations were cracked. 200000 個中 140555 個の Φn(10) の素因数が見つかりました。

October 17, 2018 2018 年 10 月 17 日 (Makoto Kamada)

n=112664: c56328(9999000099......) = 178559611288313 * c56314(5599810633......)

n=112666: c56322(2400280209......) = 356334694333381082120764457775238849699 * c56283(6736027246......)

# 356334694333381082120764457775238849699 - 1 = 2 * 3 * 31 * 41 * 47 * 71 * 179 * 11897 * 56333 * 444517 * 474017 * 553948559

n=112676: c52993(1009999999......) = 36919359286333436849 * c52973(2735692112......)

n=112694: c53593(1000000000......) = 4516043569931567651 * c53574(2214327617......)

n=112695: c54554(3074703343......) = 188891620273342471 * 65578090903454066521 * c54517(2482171351......)

n=112702: c54793(1099999999......) = 422335316814487601171 * c54772(2604565510......)

n=112725: c59761(1000000000......) = 594130948591951 * c59746(1683130633......)

n=112726: c55849(1099999999......) = 35393969651609 * c55835(3107874055......)

n=112732: c56364(9900990099......) = 289276726450801 * 16969987603526801 * c56334(2016896474......)

n=112744: c52993(1000099999......) = 38616321858201497 * c52976(2589837539......)

# P-1 B1=1e6

# 140552 of 200000 Φn(10) factorizations were cracked. 200000 個中 140552 個の Φn(10) の素因数が見つかりました。

Largest known factors that appear after the previous one
  1  n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017)
  2  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  3  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  4  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  5  n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017)
  6  n=2820M: 832530561417330269513686172453574642103980456844602894975421 (Eric_ch / Aug 23, 2016)
  7  n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018)
  8  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  9  n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018)
  10  n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018)
  11  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  12  n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017)
  13  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  14  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  15  n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015)
  16  n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015)
  17  n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015)
  18  n=200000: 572400001 (Makoto Kamada / Apr 1, 2015)

October 16, 2018 2018 年 10 月 16 日 (Makoto Kamada)

n=112622: c56310(9090909090......) = 22484931237185201 * c56294(4043111804......)

n=112634: c55819(2612213722......) = 518183236790333 * c55804(5041100400......)

n=112646: c55792(8454636161......) = 3335612270495023 * 568117767532069837 * c55759(4461500934......)

# P-1 B1=1e6

# 140544 of 200000 Φn(10) factorizations were cracked. 200000 個中 140544 個の Φn(10) の素因数が見つかりました。

October 15, 2018 2018 年 10 月 15 日 (Makoto Kamada)

n=112592: c54241(1000000009......) = 323721612400481 * c54226(3089073981......)

n=112598: c56278(4084126189......) = 4035609917144961761 * c56260(1012022042......)

n=112604: c56279(1594584544......) = 7845177095392229 * c56263(2032566664......)

# P-1 B1=1e6

# 140543 of 200000 Φn(10) factorizations were cracked. 200000 個中 140543 個の Φn(10) の素因数が見つかりました。

October 14, 2018 2018 年 10 月 14 日 (Makoto Kamada)

n=112582: c55795(9770569268......) = 56660277365484703 * c55779(1724412537......)

# P-1 B1=1e6

October 13, 2018 2018 年 10 月 13 日 (Makoto Kamada)

n=112498: c56248(9090909090......) = 142100430613742658047 * c56228(6397523956......)

n=112516: c53761(6649259651......) = 1294475719871149 * 21779225874145349 * c53730(2358505777......)

n=112522: c55678(1734952244......) = 86271599689058450213 * c55658(2011035207......)

n=112544: c56236(1083737493......) = 167136813369462401 * c56218(6484133993......)

n=112556: c53275(1794659023......) = 15813154675968433473889 * c53253(1134915240......)

n=112558: c55759(2618540815......) = 7953991371353477 * c55743(3292109197......)

n=112564: c55534(1908328280......) = 61642662184305800401 * c55514(3095791473......)

n=112575: c56160(9999900000......) = 17399498948206801 * c56144(5747234463......)

# P-1 B1=1e6

# 140542 of 200000 Φn(10) factorizations were cracked. 200000 個中 140542 個の Φn(10) の素因数が見つかりました。

October 12, 2018 2018 年 10 月 12 日 (Makoto Kamada)

n=112425: c59921(1000010000......) = 116930187196827601 * c59903(8552197033......)

n=112426: c55309(1099999999......) = 1434224922548263 * c55293(7669647784......)

n=112432: c56208(9999999900......) = 8020624651943377 * c56193(1246785672......)

n=112444: c56214(8805255321......) = 65222296995221189 * c56198(1350037598......)

n=112466: c55108(6460558431......) = 14988848342477 * c55095(4310243377......)

n=112468: c54361(1009999999......) = 33500487198781 * c54347(3014881526......)

n=112478: c56228(6473627472......) = 72378290054849 * c56214(8944156414......)

n=112485: c59985(1109988900......) = 28262943014153791 * c59968(3927364887......)

n=112496: c54902(2741043798......) = 439603465860431809 * c54884(6235264303......)

n=112497: c58306(2317255452......) = 103561308841453 * c58292(2237568720......)

# P-1 B1=1e6

# 140540 of 200000 Φn(10) factorizations were cracked. 200000 個中 140540 個の Φn(10) の素因数が見つかりました。

October 11, 2018 2018 年 10 月 11 日 (Makoto Kamada)

n=112324: c56160(9900990099......) = 161497244869734469 * c56143(6130748612......)

n=112328: c53128(3790289501......) = 942393756562001 * c53113(4021980700......)

n=112334: c56166(9090909090......) = 49853404352813 * c56153(1823528244......)

n=112352: c56160(9999999999......) = 33565343583169 * c56147(2979263410......)

n=112354: c51061(1099999999......) = 22091680976597 * c51047(4979249886......)

n=112358: c56178(9090909090......) = 75405411016697903 * c56162(1205604341......)

n=112365: c54240(9990000009......) = 1129113851276071 * c54225(8847646319......)

n=112366: c53209(1099999999......) = 330855217669131161 * c53191(3324717100......)

n=112382: c55422(1324328313......) = 365759158913209 * c55407(3620765963......)

n=112394: c56196(9090909090......) = 47515806574717757 * c56180(1913238929......)

# P-1 B1=1e6

# 140535 of 200000 Φn(10) factorizations were cracked. 200000 個中 140535 個の Φn(10) の素因数が見つかりました。

October 10, 2018 2018 年 10 月 10 日 (Makoto Kamada)

n=112276: c56130(8818430724......) = 585512816728935155329 * c56110(1506103790......)

n=112286: c53670(9881293038......) = 1905885096698917 * c53655(5184621599......)

n=112298: c56148(9090909090......) = 31806221047259 * c56135(2858217289......)

n=112306: c55657(1101600431......) = 5380577650777717 * c55641(2047364619......)

n=112316: c54769(1009999999......) = 1923269022099781 * c54753(5251475422......)

# P-1 B1=1e6

# 140527 of 200000 Φn(10) factorizations were cracked. 200000 個中 140527 個の Φn(10) の素因数が見つかりました。

October 9, 2018 2018 年 10 月 9 日 (Makoto Kamada)

n=112246: c56091(7508706840......) = 193290252138167 * c56077(3884679521......)

n=112262: c56114(1790073137......) = 2432473870726259 * c56098(7359064200......)

# P-1 B1=1e6

October 8, 2018 2018 年 10 月 8 日 (Makoto Kamada)

n=112124: c56060(9900990099......) = 72838955642256541 * c56044(1359298744......)

n=112136: c55114(1897581451......) = 608448643532715235051693201 * c55087(3118720818......)

n=112142: c54813(3806106015......) = 772532500098566729 * c54795(4926790801......)

n=112144: c54433(1000000009......) = 567787249171690369 * c54415(1761223083......)

n=112148: c52625(1000000000......) = 43747282299332149 * c52608(2285856280......)

n=112155: c59809(1109988900......) = 10783326077842314391 * c59790(1029356704......)

n=112166: c52769(1099999999......) = 17398598476309289 * c52752(6322348328......)

n=112172: c54097(1009999999......) = 1008002868838481 * c54082(1001981275......)

n=112174: c56086(9090909090......) = 1283209060404605933 * c56068(7084511301......)

n=112192: c56048(5841776839......) = 463652759462401 * c56034(1259946526......)

# P-1 B1=1e6

# 140525 of 200000 Φn(10) factorizations were cracked. 200000 個中 140525 個の Φn(10) の素因数が見つかりました。

October 7, 2018 2018 年 10 月 7 日 (Makoto Kamada)

n=112046: c50811(1480034798......) = 678799956221971 * c50796(2180369613......)

n=112058: c54685(1099999999......) = 2259037642429644143 * c54666(4869330104......)

n=112065: c57600(9009099100......) = 7925439497813275831 * c57582(1136731799......)

n=112066: c55489(1099999999......) = 378838325512219 * c55474(2903613298......)

n=112072: c56013(1215581573......) = 464057414671485228553 * c55992(2619463744......)

n=112076: c56024(1037145036......) = 25381053738881 * c56010(4086296206......)

n=112102: c53580(2967153813......) = 60610479580997 * c53566(4895446850......)

n=112106: c56038(1815638970......) = 4473706940449057352567971 * c56013(4058466490......)

n=112108: c56045(2934104063......) = 9343070347443959989 * c56026(3140406691......)

# P-1 B1=1e6

# 140518 of 200000 Φn(10) factorizations were cracked. 200000 個中 140518 個の Φn(10) の素因数が見つかりました。

October 6, 2018 2018 年 10 月 6 日 (Makoto Kamada)

n=111956: c51649(1009999999......) = 81181601669689 * 88896689135281 * c51621(1399516979......)

n=111962: c50669(3934949280......) = 1009335694365077 * c50654(3898553575......)

n=111982: c50112(9090909090......) = 13934018916143 * c50099(6524254879......)

n=111992: c55992(9999000099......) = 1363411876382801281 * c55974(7333807393......)

n=112004: c56000(9900990099......) = 108350595509929 * c55986(9137919410......)

n=112016: c56000(9999999900......) = 4047970574973614042849 * c55979(2470373663......)

n=112018: c56003(8115506379......) = 382379337611197 * c55989(2122370531......)

# P-1 B1=1e6

# 140515 of 200000 Φn(10) factorizations were cracked. 200000 個中 140515 個の Φn(10) の素因数が見つかりました。

October 5, 2018 2018 年 10 月 5 日 (Makoto Kamada)

n=111866: c55932(9090909090......) = 167166186953436113466691 * c55909(5438246368......)

n=111868: c55927(8850521680......) = 485960871042957119182409 * c55904(1821241628......)

n=111878: c51469(1141328126......) = 12040572277972338491 * c51449(9479018939......)

n=111885: c59654(2383352884......) = 1512206634513271 * c59639(1576076198......)

n=111886: c54601(1099999999......) = 1392285291764592498685933 * c54576(7900679598......)

n=111896: c54881(1000099999......) = 111385470365881968413737 * c54857(8978729422......)

n=111915: c59611(4467656405......) = 277090065578881 * c59597(1612348099......)

n=111926: c55472(1616434540......) = 3010113327840887 * c55456(5370012236......)

n=111928: c52609(1000099999......) = 179391965549410001 * 131459783701856473761433 * c52568(4240797405......)

n=111932: c55964(9900990099......) = 20124481085013301 * c55948(4919873489......)

n=111934: c55966(9090909090......) = 15142794893023211 * c55950(6003455210......)

n=111938: c55280(2007316766......) = 1861442235099780161 * c55262(1078366402......)

# P-1 B1=1e6

# 140510 of 200000 Φn(10) factorizations were cracked. 200000 個中 140510 個の Φn(10) の素因数が見つかりました。

October 4, 2018 2018 年 10 月 4 日 (Makoto Kamada)

n=111778: c55883(8132931132......) = 79224508000477740387623 * c55861(1026567578......)

n=111794: c55890(2139957363......) = 18979634516770217333 * c55871(1127501881......)

n=111795: c57344(9009099100......) = 33293016290791 * c57331(2706002670......)

n=111796: c52921(1009999999......) = 15343916594021 * c52907(6582413256......)

n=111802: c55900(9090909090......) = 840266899103717 * c55886(1081907320......)

n=111808: c55861(5775902291......) = 13361173062977 * c55848(4322900589......)

n=111812: c55904(9900990099......) = 173908665262009 * c55890(5693212632......)

n=111824: c53761(1000000009......) = 11369959264129 * c53747(8795106356......)

n=111836: c55009(1009999999......) = 57576519066540349 * c54992(1754187325......)

n=111842: c55904(6443483108......) = 4515033535322411 * 751132981922696701693 * c55868(1899953105......)

# P-1 B1=1e6

# 140504 of 200000 Φn(10) factorizations were cracked. 200000 個中 140504 個の Φn(10) の素因数が見つかりました。

October 3, 2018 2018 年 10 月 3 日 (Makoto Kamada)

n=111686: c55836(3130654059......) = 1118725335009287 * c55821(2798411693......)

n=111688: c53318(2331294444......) = 59543670249337 * c53304(3915268297......)

n=111694: c50761(1099999999......) = 168295975566265801 * c50743(6536104005......)

n=111704: c55825(1135423853......) = 324058778948153 * c55810(3503758970......)

n=111718: c55087(3537555536......) = 336000392985841663 * c55070(1052842678......)

n=111722: c51526(7872864860......) = 518705081837401369 * c51509(1517792120......)

n=111728: c55848(2549945235......) = 1562698661428481 * c55833(1631757483......)

n=111736: c55855(3088126231......) = 7167317672064713 * c55839(4308621959......)

n=111741: c59904(9009009909......) = 19529434719439 * c59891(4613041820......)

n=111754: c55008(6624873869......) = 938767618476371 * c54993(7056990184......)

n=111772: c55884(9900990099......) = 56501756307109 * c55871(1752333156......)

# P-1 B1=1e6

# 140498 of 200000 Φn(10) factorizations were cracked. 200000 個中 140498 個の Φn(10) の素因数が見つかりました。

October 2, 2018 2018 年 10 月 2 日 (Makoto Kamada)

n=111602: c54401(1099999999......) = 362318034195973 * 1968636629258081 * c54371(1542187477......)

n=111604: c55800(9900990099......) = 3633914858598181 * c55785(2724607065......)

n=111614: c55780(3467922001......) = 212958555582663268026437 * c55757(1628449249......)

n=111634: c55806(3411359431......) = 2429255397210613 * c55791(1404281919......)

n=111638: c55818(9090909090......) = 233874751672433485013 * c55798(3887084444......)

n=111657: c58744(1338942668......) = 5765557374781387 * c58728(2322312625......)

n=111674: c55811(4884162922......) = 256556609183206819 * c55794(1903736932......)

# P-1 B1=1e6

# 140495 of 200000 Φn(10) factorizations were cracked. 200000 個中 140495 個の Φn(10) の素因数が見つかりました。

October 1, 2018 2018 年 10 月 1 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=82189: c82189(1111111111......) = 238414930357117293855839 * c82165(4660409100......)

# ECM B1=11e3, sigma=562165524379139051

# 140492 of 200000 Φn(10) factorizations were cracked. 200000 個中 140492 個の Φn(10) の素因数が見つかりました。

# 13859 of 17984 Rprime factorizations were cracked. 17984 個中 13859 個の Rprime の素因数が見つかりました。

October 1, 2018 2018 年 10 月 1 日 (Makoto Kamada)

n=111514: c51448(2881750589......) = 9706309341165893 * c51432(2968945752......)

n=111525: c59441(1000010000......) = 240426379912951 * c59426(4159318958......)

n=111536: c55760(9999999900......) = 1792948147577441 * c55745(5577406080......)

n=111542: c54433(1099999999......) = 12682042830093691 * c54416(8673681478......)

n=111548: c54907(1509064096......) = 73348344721617993839249 * c54884(2057393526......)

n=111555: c57007(3415373425......) = 132044010060691741321 * c56987(2586541732......)

n=111556: c55433(6608491199......) = 26739036937596437300020201 * c55408(2471476895......)

n=111584: c50561(1000000000......) = 137201658220099605793 * c50540(7288541647......)

# P-1 B1=1e6

# 140491 of 200000 Φn(10) factorizations were cracked. 200000 個中 140491 個の Φn(10) の素因数が見つかりました。

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