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September 30, 2013 2013 年 9 月 30 日 (Bruce Dodson)

# via ECMNET

n=359: c275(4937495543......) = 10483559820031479418770210067382566319984375940690615649203032945707 * c208(4709750912......)

# ECM B1=400e6, sigma=2848901772

# c208 is the 6th composite.

# n=359 has the 3rd biggest factored part.

September 26, 2013 2013 年 9 月 26 日 (Makoto Kamada)

n=18693: c11851(1063995368......) = 9048870166159 * c11838(1175832284......)

n=36904: c15793(1000099999......) = 4763406422153 * c15780(2099547910......)

# 75154 of 100000 Phi_n(10) factorizations were cracked.

September 25, 2013 2013 年 9 月 25 日 (Makoto Kamada)

n=19053: c12066(8998304585......) = 8288849014723 * c12054(1085591566......)

September 23, 2013 2013 年 9 月 23 日 (Makoto Kamada)

n=38786: c16764(9166878831......) = 5002606915703 * c16752(1832420373......)

n=38674: c18955(2370235019......) = 12597716599739 * c18942(1881479870......)

September 21, 2013 2013 年 9 月 21 日 (Makoto Kamada)

n=39828: c13268(2535838183......) = 14361488548549 * c13255(1765720993......)

September 20, 2013 2013 年 9 月 20 日 (Maksym Voznyy)

n=14323: c14287(3548315110......) = 13805359722117989218961 * x14265(2570244587......)

n=14323: x14265(2570244587......) = 6477800545194951058561 * c14243(3967773582......)

n=14407: c14401(7712246816......) = 260240495975291000231 * c14381(2963507576......)

n=32374: c16164(1834777583......) = 8329701067394103251 * c16145(2202693192......)

n=32444: c16215(6103396045......) = 39463429867427021 * c16199(1546595434......)

n=32456: c16224(9999000099......) = 5292314167535989921 * c16206(1889343637......)

n=32498: c16231(8191375835......) = 786768598861547209 * c16214(1041141683......)

n=32822: c16391(4591374480......) = 1727947059952943 * c16376(2657126822......)

n=32854: c16421(1024837027......) = 3945095643049522441 * c16402(2597749511......)

n=32992: c16476(3030945958......) = 16856809741321399970273 * c16454(1798054320......)

n=33076: c16530(2433662918......) = 5848833150014699641 * c16511(4160937499......)

n=33412: c16704(9900990099......) = 8561193604748679529 * c16686(1156496460......)

n=33476: c16722(4662000608......) = 134349125033180569 * c16705(3470063990......)

n=33548: c16747(1000366224......) = 609216265263343109 * c16729(1642054359......)

n=33574: c16767(5568275199......) = 2012860570645233059 * c16749(2766349185......)

n=33766: c16861(8042832535......) = 262839759724449331 * c16844(3059975607......)

n=33776: c16867(1101922411......) = 4183575908288681249 * c16848(2633924746......)

n=33808: c16878(1017464261......) = 4966468319478520433 * c16859(2048667575......)

n=34436: c17216(9900990099......) = 467406480277609 * c17202(2118282590......)

n=34502: c15895(9518081709......) = 8778861795087983 * c15880(1084204528......)

n=34766: c17364(2364856152......) = 23763989682417373 * c17347(9951427279......)

n=34842: c11585(3452264558......) = 1280815637750767 * c11570(2695364154......)

n=34852: c17404(1732741009......) = 81501377777861 * c17390(2126026647......)

n=35082: c11689(1000999998......) = 50896600179573241 * c11672(1966732542......)

n=35116: c17556(9900990099......) = 15424480242356321 * c17540(6419010523......)

n=35162: c17571(4764374971......) = 179918479279342637 * c17554(2648074278......)

n=35184: c11699(9316224106......) = 177051828220273 * c11685(5261862698......)

n=35384: c17680(4053146170......) = 41193360795113 * c17666(9839318987......)

n=35710: c14264(5340560515......) = 52540428499051 * c14251(1016466874......)

n=36310: c14507(2885372118......) = 17857296235156201 * c14491(1615794508......)

n=36614: c18291(5401995374......) = 657631634063584409 * c18273(8214318007......)

n=36970: c14761(1697410457......) = 1370746873904081 * c14746(1238310653......)

n=36976: c18461(9927182343......) = 220836507378737 * c18447(4495263242......)

n=37006: c18495(5317324556......) = 102060715854292463 * x18478(5209962042......)

n=37006: x18478(5209962042......) = 17538768449547823 * c18462(2970540410......)

n=37372: c18679(6623223179......) = 1689686731067221 * c18664(3919793567......)

n=37432: c18692(3323462638......) = 508781309913809 * c18677(6532202684......)

n=37616: c18775(1027628476......) = 351007090279649 * x18760(2927657319......)

n=37616: x18760(2927657319......) = 525580333208977 * c18745(5570332704......)

n=38008: c18986(1507342772......) = 25528388415547201 * c18969(5904574733......)

n=38242: c19080(5200043439......) = 483230459538366647 * c19063(1076100096......)

n=38530: c15393(9952613972......) = 6643484539780811 * c15378(1498101472......)

n=38572: c19277(5238541214......) = 13395363080626321 * c19261(3910712373......)

n=38798: c18341(2734417113......) = 336964683498647 * c18326(8114847777......)

n=38992: c19467(6152650500......) = 468355155868126097 * c19450(1313671990......)

n=39056: c19508(1430782506......) = 4848840431600177 * c19492(2950772512......)

n=39082: c19519(6231012109......) = 50089369402757 * c19506(1243978948......)

n=39148: c19547(2609642156......) = 1329219201359081 * c19532(1963289541......)

n=39230: c15673(8961191865......) = 85274848982891 * c15660(1050859892......)

n=39670: c15851(1512024124......) = 48550832374607131 * c15834(3114311434......)

n=39718: c17006(5310079138......) = 370951879389127 * c16992(1431473846......)

n=39724: c19837(1247218023......) = 33525684211109 * c19823(3720186634......)

n=39806: c18337(1135002936......) = 6196758795965393339087 * c18315(1831607415......)

n=39912: c13273(7120950744......) = 111052702334408617 * c13256(6412226442......)

n=40010: c15988(1298464795......) = 3288315716700811 * c15972(3948723016......)

n=40234: c20089(1909642633......) = 1164165771949214369 * c20071(1640352842......)

n=40264: c17233(1000099999......) = 40300089826288321 * c17216(2481632185......)

n=40312: c20129(1200877199......) = 104959359620777 * x20115(1144135409......)

n=40312: x20115(1144135409......) = 96258426063942161 * c20098(1188608059......)

n=40346: c20160(8024087162......) = 91915017852661343 * c20143(8729897844......)

n=40366: c20169(1315303480......) = 458269762440704849 * c20151(2870151138......)

n=40396: c20196(9900990099......) = 93048865429969218980381 * c20174(1064063495......)

n=40616: c20304(9999000099......) = 111399422195714562881 * c20284(8975809661......)

n=40634: c18444(1189768859......) = 250763776578065521 * c18426(4744580241......)

n=40636: c20305(4637988686......) = 6744403847590609 * c20289(6876795623......)

n=40652: c20324(9900990099......) = 30797358939929919829 * c20305(3214882847......)

n=40724: c20353(5761236735......) = 20410709884918085599309 * x20331(2822653777......)

n=40724: x20331(2822653777......) = 550616760560784841179016309 * c20304(5126349176......)

n=40738: c20364(2231500304......) = 1263558360828507091 * c20346(1766044508......)

n=40862: c20410(2383694589......) = 1613943447500120567 * c20392(1476938112......)

n=40904: c20423(2766721182......) = 324836932802134297 * c20405(8517261748......)

n=40966: c20442(3439118701......) = 351209323784578967 * c20424(9792219251......)

n=41304: c13755(2690342903......) = 77352288587257 * c13741(3478039180......)

n=41326: c20657(7332620113......) = 42859248470094041 * c20641(1710860636......)

n=41836: c20903(2697592995......) = 41076437005229 * c20889(6567251671......)

n=42494: c21228(7506992605......) = 482041640454031571 * c21211(1557332805......)

n=42674: c20176(3088052075......) = 26124575978426407 * c20160(1182048687......)

n=42726: c14216(5053292301......) = 135752006219123653 * x14199(3722443919......)

n=42726: x14199(3722443919......) = 2005780337733232171933 * c14178(1855858216......)

n=42754: c21366(2341272335......) = 7481937132609018346649 * c21344(3129232836......)

n=42844: c21401(3009882586......) = 4941859588224509 * c21385(6090587020......)

n=42996: c14315(1552548294......) = 394705477664394857929 * c14294(3933434883......)

n=43048: c21500(7519613729......) = 19946111735126187409 * c21481(3769964707......)

n=43058: c21486(2075561708......) = 337569671005838333731 * c21465(6148543209......)

n=43088: c21503(6874326836......) = 140816872786572749441 * c21483(4881749396......)

n=43108: c19873(1009999999......) = 7296671597420089 * c19857(1384192760......)

n=43114: c21518(3536091557......) = 1380928533958339 * c21503(2560662243......)

n=43116: c14360(2829808540......) = 105135276937710032929 * c14340(2691588040......)

n=43156: c21561(3401561201......) = 141607132469720761 * c21544(2402111491......)

n=43204: c18491(4404502455......) = 34074751431869 * c18478(1292600024......)

n=43222: c21594(3574135291......) = 36760904839722047 * c21577(9722653202......)

n=43244: c20441(9087875163......) = 1008099650757109081 * x20423(9014857962......)

n=43244: x20423(9014857962......) = 1405955715145801 * x20408(6411907477......)

n=43244: x20408(6411907477......) = 2721085014858528809 * c20390(2356378959......)

n=43256: c21616(1101910025......) = 36680028963353 * c21602(3004114383......)

n=43266: c14415(1269934624......) = 55832545017331 * c14401(2274541889......)

n=43294: c21621(8207740673......) = 1972643381568757 * c21606(4160782810......)

n=43336: c21658(1528025973......) = 21292052399521 * c21644(7176508609......)

n=43406: c19716(1267091334......) = 327521701426921 * c19701(3868724816......)

n=43502: c21745(3482933451......) = 10388097847299889 * c21729(3352811557......)

n=43572: c14508(8566690906......) = 253105916888329 * c14494(3384626883......)

n=43702: c21835(1003153253......) = 40024208141377051 * c21818(2506366272......)

n=43832: c21902(2693250490......) = 3969330853827169 * c21886(6785149913......)

# 75153 of 100000 Phi_n(10) factorizations were cracked.

September 20, 2013 2013 年 9 月 20 日 (Makoto Kamada)

n=40832: c17900(1033681553......) = 9645214708097 * c17887(1071704036......)

September 18, 2013 2013 年 9 月 18 日 (NFS@Home)

n=1540M: c212(8697161156......) = 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 * p111(1342569987......)

# gnfs

# 1067 of 100000 Phi_n(10) factorizations were finished.

# https://escatter11.fullerton.edu/nfs/forum_thread.php?id=445

# http://mersenneforum.org/showpost.php?p=353345&postcount=138

# 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 is the largest known factor that appears after n=786.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  3  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
  4  n=2700M: 156769564119516597956194927133905066434402684839835301 (Mr. Hankey / Aug 18, 2013)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  8  n=92954: 722626696550806668509721658158625321 (Serge Batalov / Jul 13, 2012)
  9  n=99888: 507158594659660735799020236772273 (Serge Batalov / May 25, 2012)
  10  n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012)
  11  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)

September 17, 2013 2013 年 9 月 17 日 (Makoto Kamada)

n=20943: c12799(6789424747......) = 7047674902711 * c12786(9633566872......)

September 14, 2013 2013 年 9 月 14 日 (Maksym Voznyy)

n=49020L: p6027(1781565904......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_49020L_10

The following probable prime factors are not certificated yet.
n=5059: p5052(3358264755......)   http://factordb.com/index.php?id=1100000000013350149
n=5237: p5192(8225727009......)   http://factordb.com/index.php?id=1100000000021164062
n=5323: p5277(5494980776......)   http://factordb.com/index.php?id=1100000000013354497
n=6119: p5837(3754893657......)   http://factordb.com/index.php?id=1100000000416753186
n=7509: p4955(2355545077......)   http://factordb.com/index.php?id=1100000000476125842
n=7597: p7380(2662259922......)   http://factordb.com/index.php?id=1100000000476127140
n=7745: p6175(2562004991......)   http://factordb.com/index.php?id=1100000000559428116
n=7797: p4906(5138372273......)   http://factordb.com/index.php?id=1100000000592789033
n=8223: p5371(1070563618......)   http://factordb.com/index.php?id=1100000000419315002
n=10455: p5109(3759996113......)   http://factordb.com/index.php?id=1100000000032404131
n=10679: p10398(3212734537......)   http://factordb.com/index.php?id=1100000000587092362
n=10703: p8264(5790721458......)   http://factordb.com/index.php?id=1100000000596419742
n=12351: p7775(2639345918......)   http://factordb.com/index.php?id=1100000000589822155
n=12413: p12382(1389253690......)   http://factordb.com/index.php?id=1100000000013490240
n=14011: p13957(3202159838......)   http://factordb.com/index.php?id=1100000000575379519
n=14485: p11566(1953572169......)   http://factordb.com/index.php?id=1100000000615401029
n=14582: p6934(4212511300......)   http://factordb.com/index.php?id=1100000000032355112
n=14825: p11812(4191829575......)   http://factordb.com/index.php?id=1100000000583602914
n=15332: p7647(3599323721......)   http://factordb.com/index.php?id=1100000000014723489
n=15472: p7724(6462870742......)   http://factordb.com/index.php?id=1100000000014723987
n=15728: p7851(2119357982......)   http://factordb.com/index.php?id=1100000000014724861
n=15934: p7655(9398162882......)   http://factordb.com/index.php?id=1100000000032355349
n=16597: p14213(3389166928......)   http://factordb.com/index.php?id=1100000000032433692
n=16815: p8343(8867846097......)   http://factordb.com/index.php?id=1100000000032435874
n=18170: p6846(5144476898......)   http://factordb.com/index.php?id=1100000000032355788
n=18827: p18480(9000000000......)   http://factordb.com/index.php?id=1100000000032454351
n=19498: p9730(8251811537......)   http://factordb.com/index.php?id=1100000000014739626
n=20233: p20211(4205088806......)   http://factordb.com/index.php?id=1100000000013669684
n=20581: p18686(3423440887......)   http://factordb.com/index.php?id=1100000000587111590
n=21148: p9883(2211679650......)   http://factordb.com/index.php?id=1100000000591597385
n=21469: p18369(2534810559......)   http://factordb.com/index.php?id=1100000000615459222
n=21786: p7256(2521977139......)   http://factordb.com/index.php?id=1100000000032356709
n=21858: p7276(1149947374......)   http://factordb.com/index.php?id=1100000000032356727
n=21865: p17480(4725842171......)   http://factordb.com/index.php?id=1100000000032485925
n=22327: p21964(1003011728......)   http://factordb.com/index.php?id=1100000000032491510
n=22575: p10060(1762423748......)   http://factordb.com/index.php?id=1100000000032494459
n=23572: p11466(4152899286......)   http://factordb.com/index.php?id=1100000000591599582
n=24466: p11262(8383530241......)   http://factordb.com/index.php?id=1100000000032357453
n=24792: p8245(7484034255......)   http://factordb.com/index.php?id=1100000000015780486
n=24832: p12274(4612171090......)   http://factordb.com/index.php?id=1100000000602433947
n=25722: p8564(1297186619......)   http://factordb.com/index.php?id=1100000000032357932
n=25973: p24567(4967369915......)   http://factordb.com/index.php?id=1100000000597306296
n=26008: p12958(2371385622......)   http://factordb.com/index.php?id=1100000000615703735
n=26601: p17724(2959900507......)   http://factordb.com/index.php?id=1100000000032542308
n=26982: p8951(8406608028......)   http://factordb.com/index.php?id=1100000000597306316
n=27472: p12779(2206236194......)   http://factordb.com/index.php?id=1100000000015790968
n=27496: p11737(5951904519......)   http://factordb.com/index.php?id=1100000000015791070
n=28455: p12912(1713313150......)   http://factordb.com/index.php?id=1100000000615703749
n=28952: p10998(1599236780......)   http://factordb.com/index.php?id=1100000000615703752
n=29091: p19374(3948526192......)   http://factordb.com/index.php?id=1100000000032553440
n=29141: p23745(4638933562......)   http://factordb.com/index.php?id=1100000000615704066
n=30452: p14469(1040925734......)   http://factordb.com/index.php?id=1100000000589745584
n=30650: p12224(1815469202......)   http://factordb.com/index.php?id=1100000000032359447
n=30744: p8629(1825038389......)   http://factordb.com/index.php?id=1100000000015803663
n=31213: p24677(2908101418......)   http://factordb.com/index.php?id=1100000000615704078
n=31254: p10410(7175573812......)   http://factordb.com/index.php?id=1100000000032359627
n=31590: p7768(6960331352......)   http://factordb.com/index.php?id=1100000000032359729
n=32184: p10603(6671042459......)   http://factordb.com/index.php?id=1100000000615704083
n=32302: p15582(7580428912......)   http://factordb.com/index.php?id=1100000000615704087
n=32481: p21600(9999999999......)   http://factordb.com/index.php?id=1100000000556949265
n=34278: p10955(5420339387......)   http://factordb.com/index.php?id=1100000000615704117
n=34474: p15652(2718591171......)   http://factordb.com/index.php?id=1100000000031223055
n=35712: p11499(1854921265......)   http://factordb.com/index.php?id=1100000000615704122
n=37751: p32314(8689034915......)   http://factordb.com/index.php?id=1100000000615704125
n=38673: p25763(1136317924......)   http://factordb.com/index.php?id=1100000000615704126
n=41470: p13434(6631229424......)   http://factordb.com/index.php?id=1100000000022717472
n=41550: p11034(3760490463......)   http://factordb.com/index.php?id=1100000000022717730
n=43106: p18450(3377757599......)   http://factordb.com/index.php?id=1100000000622234960
n=43566: p14139(6962562835......)   http://factordb.com/index.php?id=1100000000022724114
n=44606: p22298(1019011701......)   http://factordb.com/index.php?id=1100000000022727396
n=47468: p23732(9900990099......)   http://factordb.com/index.php?id=1100000000022736528
n=47498: p20160(9090909091......)   http://factordb.com/index.php?id=1100000000022736618
n=47520: p11504(8700248466......)   http://factordb.com/index.php?id=1100000000615704186
n=47560: p17904(2209194873......)   http://factordb.com/index.php?id=1100000000615704191
n=49081: p49081(1111111111......)   http://factordb.com/index.php?id=1100000000013937242
n=49671: p33095(2285982058......)   http://factordb.com/index.php?id=1100000000615704201
n=50131: p50068(2479448013......)   http://factordb.com/index.php?id=1100000000575655925
n=51300M: p6475(1949313938......)   http://factordb.com/index.php?id=1100000000022749153
n=51660M: p5754(4036177735......)   http://factordb.com/index.php?id=1100000000022750359
n=52028: p25995(3330698075......)   http://factordb.com/index.php?id=1100000000022751617
n=52062: p17353(1098901098......)   http://factordb.com/index.php?id=1100000000022751729
n=52066: p22288(1332570450......)   http://factordb.com/index.php?id=1100000000022751752
n=55315: p37998(3725063207......)   http://factordb.com/index.php?id=1100000000314608933
n=55601: p43057(1000000000......)   http://factordb.com/index.php?id=1100000000563716320
n=57740M: p11545(2824060999......)   http://factordb.com/index.php?id=1100000000022770929
n=58962: p18944(1338567545......)   http://factordb.com/index.php?id=1100000000022775164
n=59220L: p6614(4606819083......)   http://factordb.com/index.php?id=1100000000022776045
n=59340M: p7393(2555229610......)   http://factordb.com/index.php?id=1100000000022319751
n=59772: p18688(9901000000......)   http://factordb.com/index.php?id=1100000000022320970
n=64060L: p12809(2824060999......)   http://factordb.com/index.php?id=1100000000022333805
n=64410: p16115(1233544571......)   http://factordb.com/index.php?id=1100000000022334904
n=65626: p28057(1459800300......)   http://factordb.com/index.php?id=1100000000615704360
n=67347: p38382(7391571857......)   http://factordb.com/index.php?id=1100000000615704363
n=67366: p31075(5442877005......)   http://factordb.com/index.php?id=1100000000615704364
n=68102: p32033(1099999999......)   http://factordb.com/index.php?id=1100000000557665558
n=70740L: p9361(1000100005......)   http://factordb.com/index.php?id=1100000000615928441
n=70842: p23613(1098901098......)   http://factordb.com/index.php?id=1100000000293897389
n=71400: p15352(5670284275......)   http://factordb.com/index.php?id=1100000000615704371
n=72184: p30906(6297664618......)   http://factordb.com/index.php?id=1100000000615704376
n=73094: p29832(9090910000......)   http://factordb.com/index.php?id=1100000000556949394
n=73808: p31585(1000000009......)   http://factordb.com/index.php?id=1100000000556949493
n=74112: p24556(1016058865......)   http://factordb.com/index.php?id=1100000000615704390
n=75740M: p12953(1371715669......)   http://factordb.com/index.php?id=1100000000615933369
n=76537: p76529(1680243818......)   http://factordb.com/index.php?id=1100000000021230909
n=77061: p48301(1758205326......)   http://factordb.com/index.php?id=1100000000615704405
n=77077: p55441(1000000000......)   http://factordb.com/index.php?id=1100000000563445641
n=79710: p21248(9100090999......)   http://factordb.com/index.php?id=1100000000556949246
n=82360: p31360(9999000099......)   http://factordb.com/index.php?id=1100000000556949424
n=83967: p51639(4884525227......)   http://factordb.com/index.php?id=1100000000596833389
n=85113: p48339(7099610268......)   http://factordb.com/index.php?id=1100000000415323025
n=86154: p28202(1821117073......)   http://factordb.com/index.php?id=1100000000615720928
n=86340M: p11491(7801769750......)   http://factordb.com/index.php?id=1100000000593024392
n=86453: p86453(1111111111......)   http://factordb.com/index.php?id=1100000000046752372
n=87114: p29020(5179196579......)   http://factordb.com/index.php?id=1100000000615720934
n=87312: p27116(5668758151......)   http://factordb.com/index.php?id=1100000000615720957
n=88676: p37993(1009999999......)   http://factordb.com/index.php?id=1100000000563733924
n=90312: p29116(1107149590......)   http://factordb.com/index.php?id=1100000000615720958
n=92092: p31681(1009999999......)   http://factordb.com/index.php?id=1100000000556949529
n=92712: p30897(1000099999......)   http://factordb.com/index.php?id=1100000000556949399
n=93420L: p12372(1989086709......)   http://factordb.com/index.php?id=1100000000615934614
n=93811: p93765(2592502388......)   http://factordb.com/index.php?id=1100000000530981325
n=93914: p46945(2805905158......)   http://factordb.com/index.php?id=1100000000022414371
n=94100L: p18788(5376763212......)   http://factordb.com/index.php?id=1100000000615934625
n=96684: p27594(2048115086......)   http://factordb.com/index.php?id=1100000000615721010
n=97098: p32350(1718114428......)   http://factordb.com/index.php?id=1100000000536289244

September 14, 2013 2013 年 9 月 14 日 (Makoto Kamada)

n=42530: c16998(1013545928......) = 11050511931611 * c16984(9171936415......)

September 13, 2013 2013 年 9 月 13 日 (Maksym Voznyy)

n=14083: c14073(1400542677......) = 61875383127456489797 * c14053(2263489302......)

n=14221: c14201(1687689543......) = 137941121824398378932843 * x14178(1223485441......)

n=14221: x14178(1223485441......) = 3769750667698939099511 * x14156(3245534120......)

n=14221: x14156(3245534120......) = 717476117731338967387 * c14135(4523543069......)

n=14243: c14217(6846070170......) = 100375280246961386797026991 * c14191(6820474278......)

n=30616: c14747(5681288172......) = 1008135112013661497 * x14729(5635443210......)

n=30616: x14729(5635443210......) = 4389981912121513036481 * c14708(1283705337......)

n=30628: c12951(1250956674......) = 6095676754979590949 * c12932(2052203101......)

n=30630: c8154(3760724051......) = 149966936158441 * c8140(2507702129......)

n=30636: c9469(6821873054......) = 6236777803410916849 * c9451(1093813707......)

n=30658: c15312(1111755903......) = 681505564521094007 * c15294(1631323296......)

n=30676: c15336(9900990099......) = 1257567522532701090229 * c15315(7873128020......)

n=30678: c10219(2107083811......) = 2486832801978311971 * c10200(8472961309......)

n=30686: c15049(1099999999......) = 315530472970685933 * c15031(3486192600......)

n=30702: c8065(1098900989......) = 39056984163277306423 * x8045(2813583825......)

n=30702: x8045(2813583825......) = 907039815648926863 * c8027(3101940815......)

n=30708: c10204(9882064595......) = 105136453893223682519509 * c10181(9399275160......)

n=30746: c15324(3343539457......) = 2730238486987767713767 * c15303(1224632746......)

n=30758: c12169(1000000000......) = 142080401151729769 * c12151(7038268416......)

n=30768: c10217(3103351097......) = 4539669636624526897 * x10198(6836072547......)

n=30768: x10198(6836072547......) = 7700546438108062369 * c10179(8877386302......)

n=30774: c9768(9100000000......) = 14444424903748093 * c9752(6300008522......)

n=30794: c15107(1094984961......) = 371473617024156263 * c15089(2947678950......)

n=30798: c9744(9990010000......) = 7118624532878860961863 * c9723(1403362398......)

n=30804: c9600(9901000000......) = 3988289602221903376309 * c9579(2482517817......)

n=30816: c10177(1000000000......) = 633794717085910943041 * c10156(1577797941......)

n=30834: c10244(3814404207......) = 10951729756607971 * c10228(3482923969......)

n=30836: c14191(2437774500......) = 24954437502543050009 * c14171(9768901824......)

n=30838: c14497(1099999999......) = 3380047345710929 * c14481(3254392283......)

n=30840: c8158(1270336256......) = 4080139526653116001 * x8139(3113462781......)

n=30840: x8139(3113462781......) = 590570123326399441 * c8121(5271961209......)

n=30860M: c6162(1305449611......) = 3848522226299136314833381 * c6137(3392080219......)

n=30860L: c6150(7236454394......) = 6408973864133258385221 * c6129(1129112795......)

n=30884: c13225(1009999999......) = 4228222047456132600869 * c13203(2388710878......)

n=30942: c10251(4220010894......) = 21524834247284570383 * c10232(1960531191......)

n=30944: c15441(5444504701......) = 4110895842051382856033 * x15420(1324408331......)

n=30944: x15420(1324408331......) = 559548609072913199713 * c15399(2366922747......)

n=30954: c7921(1098900989......) = 210034912853602453 * c7903(5231992024......)

n=30978: c10313(1899662194......) = 273745502909888295943 * c10292(6939519275......)

n=30984: c10295(2823192522......) = 10874556278601533257 * c10276(2596145029......)

n=30990: c8256(9100090999......) = 917750776197489211 * c8238(9915645114......)

n=31010: c10608(9091000909......) = 1453824041784976027321 * c10587(6253164514......)

n=31038: c8856(9100000909......) = 284669415434602365889 * c8836(3196690763......)

n=31056: c10331(2927254820......) = 1695978801865420321 * c10313(1725997292......)

n=31060M: c6189(1241061249......) = 300344008802080325861 * c6168(4132132532......)

n=31062: c9931(5597732155......) = 6738108667448503 * c9915(8307571800......)

n=31080: c6913(1000099999......) = 262171541727349045681 * c6892(3814677952......)

n=31124: c14982(2654667957......) = 237267696907776649 * c14965(1118849296......)

n=31140L: c4106(1285760666......) = 269598851631185894641 * c4085(4769162252......)

n=31146: c9958(1030609565......) = 11674368292742222608507207 * c9932(8827968585......)

n=31154: c15121(1099999999......) = 758079055755219281 * c15103(1451035999......)

n=31190: c12473(1099989000......) = 1188484405128851 * c12457(9255392795......)

n=31282: c15617(2106323431......) = 875573963282986321 * c15599(2405648773......)

n=31384: c15684(1061994848......) = 35692059522834055578929 * c15661(2975437290......)

n=31402: c13438(3688893081......) = 18824456410897613477 * c13419(1959627944......)

n=31422: c10454(2459504956......) = 1195975716302260489 * c10436(2056484026......)

n=31444: c13465(1009999999......) = 65861676350145341 * c13448(1533516994......)

n=31448: c15713(7226214253......) = 176508597052112449 * c15696(4093972970......)

n=31454: c15701(4407187315......) = 6426329018210960051 * c15682(6858016923......)

n=31594: c15780(1429737712......) = 12735469946413737161 * c15761(1122642288......)

n=31630: c12643(4968086500......) = 17309261376308176361 * c12624(2870189774......)

n=31782: c10578(2536527995......) = 10736859019762339 * c10562(2362448823......)

n=31802: c15878(2008633868......) = 11442738025848979477 * c15859(1755378707......)

n=31804: c15892(2931381639......) = 8731657956905043829 * c15873(3357187895......)

n=31910: c12747(1282376249......) = 12295241251672651 * c12731(1042985837......)

n=31952: c15931(1588943987......) = 717919328318417 * c15916(2213262584......)

n=32194: c16089(3443646046......) = 6369471057206156462011 * c16067(5406486685......)

n=32372: c16184(9900990099......) = 4720414475838121 * c16169(2097483208......)

n=32668: c16315(2575561330......) = 723018318303289 * c16300(3562235237......)

n=32826: c10924(6862576980......) = 10620856872432019 * c10908(6461415555......)

n=32990: c13182(6550309111......) = 157587027978971 * c13168(4156629638......)

n=33458: c16721(1465539746......) = 907698382460367013 * c16703(1614566880......)

n=33710: c13444(3164995340......) = 510734406203775361 * c13426(6196949534......)

n=33944: c16943(2669299640......) = 21865754415716801 * c16927(1220767227......)

# 75143 of 100000 Phi_n(10) factorizations were cracked.

September 12, 2013 2013 年 9 月 12 日 (Makoto Kamada)

n=42816: c14209(1000000000......) = 14578990191937 * c14195(6859185628......)

# 75124 of 100000 Phi_n(10) factorizations were cracked.

September 11, 2013 2013 年 9 月 11 日 (Makoto Kamada)

n=43490: c17387(2107739120......) = 13859440734571 * c17374(1520796662......)

n=43314: c14420(9114841322......) = 10981843904491 * c14407(8299918849......)

n=43382: c21371(1225848482......) = 18260613163607 * c21357(6713074041......)

September 10, 2013 2013 年 9 月 10 日 (Maksym Voznyy)

n=30004: c13810(9636515058......) = 607382405485761343309 * c13790(1586564736......)

n=30008: c13195(3702702602......) = 41169904618584457 * x13178(8993711879......)

n=30008: x13178(8993711879......) = 687793452500617 * c13164(1307618129......)

n=30010: c11986(6756925923......) = 62696825683312243481 * c11967(1077714198......)

n=30022: c14113(1099999999......) = 25978377565113884423 * c14093(4234290602......)

n=30054: c10005(2938609916......) = 167898895626992956579 * c9985(1750225875......)

n=30114: c8568(9990010000......) = 102247066401456003776407 * c8545(9770461248......)

n=30120: c7989(6535239215......) = 39103467888721 * c7976(1671268449......)

n=30146: c15053(2696587582......) = 1534866676355675767249 * c15032(1756887177......)

n=30166: c15027(1697107731......) = 1149311481207996729659 * c15006(1476629929......)

n=30176: c14081(1000000000......) = 1433425909845857 * c14065(6976293599......)

n=30222: c9497(7529708590......) = 4604117866542343 * c9482(1635429154......)

n=30232: c15094(6406942045......) = 43576067901300904049 * c15075(1470289164......)

n=30244: c15103(3287501012......) = 30658501577128769 * c15087(1072296701......)

n=30256: c14401(1000000009......) = 47785433157769873 * c14384(2092687967......)

n=30272: c13416(9804563499......) = 403918955530817 * c13402(2427359093......)

n=30284: c14772(3496099725......) = 4253057533901081 * c14756(8220203225......)

n=30318: c9685(8100957115......) = 158646896567437 * c9671(5106281491......)

n=30326: c14838(1540969908......) = 96726941264209099 * c14821(1593113447......)

n=30364: c15158(2205324429......) = 16847304691069339899121 * c15136(1309007268......)

n=30388: c14827(6608130444......) = 264344072034199323900301 * x14804(2499821688......)

n=30388: x14804(2499821688......) = 6335578203112357469 * c14785(3945688314......)

n=30408: c8640(9999000100......) = 204761076893521 * c8626(4883252350......)

n=30438: c9472(2569172541......) = 45033702109117093 * c9455(5704999636......)

n=30440: c12155(4106832675......) = 11681817287118721 * c12139(3515576878......)

n=30456: c9937(1000000000......) = 113177974623213599353 * x9916(8835641416......)

n=30456: x9916(8835641416......) = 51941845089146953 * c9900(1701064219......)

n=30474: c10146(2092208059......) = 216485007989011183 * c10128(9664447799......)

n=30488: c14675(3383437266......) = 2467566893431498289 * c14657(1371163341......)

n=30538: c15264(2976819506......) = 2688489529853422819 * c15246(1107246085......)

n=30544: c14433(1000000009......) = 6876723942306218830849 * c14411(1454180825......)

n=30552: c9504(9999000100......) = 425626482543673 * c9490(2349242941......)

n=30576: c8048(2112936453......) = 334614429356040289 * c8030(6314540761......)

n=30580L: c5512(2398870484......) = 1565174808855933221 * c5494(1532653395......)

n=30588: c10163(7130739573......) = 9805765597437169 * c10147(7271986570......)

n=30590: c9505(1099988890......) = 182249574387420961 * c9487(6035618430......)

n=30594: c10197(1098901098......) = 12110121599556740143 * c10177(9074236702......)

n=30596: c15276(4216983844......) = 2928255159936250201 * c15258(1440101225......)

# 75123 of 100000 Phi_n(10) factorizations were cracked.

September 10, 2013 2013 年 9 月 10 日 (Kurt Beschorner)

n=4129: c4109(1887089630......) = 832960083260039049948833839 * c4082(2265522284......)

# ECM B1=1e6, sigma=1763727952

September 10, 2013 2013 年 9 月 10 日 (Makoto Kamada)

n=22077: c13280(1608737870......) = 5231369143243 * c13267(3075175592......)

n=43986: c14651(7993784303......) = 10686060315703 * c14638(7480571948......)

n=43774: c21328(6109669806......) = 5736019459943 * c21316(1065141052......)

n=43674: c13992(5437420491......) = 5993916672607 * c13979(9071565035......)

September 9, 2013 2013 年 9 月 9 日 (Makoto Kamada)

n=44596: c22290(4625314617......) = 7104251748029 * c22277(6510628820......)

September 7, 2013 2013 年 9 月 7 日 (Makoto Kamada)

n=45336: c15100(2205924520......) = 18372998879737 * c15087(1200633895......)

n=45234: c12888(9990010000......) = 9870325544899 * c12876(1012125684......)

n=45264: c14054(1942184354......) = 5445250735633 * c14041(3566749170......)

n=45136: c17266(2953338430......) = 8172767711473 * c17253(3613633147......)

n=22581: c13812(8346591362......) = 5005473320719 * c13800(1667492927......)

n=45198: c14561(3726656844......) = 7044717433447 * c14548(5290001876......)

n=44822: c22020(1486407274......) = 16849430436611 * c22006(8821706346......)

n=44858: c20367(3632323856......) = 13053870037099 * c20354(2782564746......)

# 75113 of 100000 Phi_n(10) factorizations were cracked.

September 5, 2013 2013 年 9 月 5 日 (Makoto Kamada)

n=46138: c20416(9090909090......) = 10334580683023 * c20403(8796592111......)

n=46062: c15322(7088026818......) = 7687055902699 * c15309(9220730157......)

n=45636: c15200(5271945737......) = 5789878247509 * c15187(9105451810......)

n=45638: c21594(4726021776......) = 6897119832583 * c21581(6852167123......)

# 75112 of 100000 Phi_n(10) factorizations were cracked.

September 4, 2013 2013 年 9 月 4 日 (Maksym Voznyy)

n=52710: c11987(8012896765......) = 20142929311891 * c11974(3978019602......)

n=66868: c32819(8079172135......) = 31261998371629 * x32806(2584342830......)

n=67638: c22510(6371882284......) = 22328925421051 * c22497(2853644841......)

n=68392: c33427(9322867189......) = 42827741530697 * c33414(2176829049......)

n=34194: c11040(9100000000......) = 909355628957449 * x11026(1000708601......)

n=55572: c16780(1762469186......) = 278356807789369 * c16765(6331690610......)

n=57080: c22798(2248536363......) = 156510801446081 * x22784(1436665292......)

n=57356: c26423(8576559469......) = 489572791303441 * x26409(1751845613......)

n=58002: c16547(8536446968......) = 195433952629441 * c16533(4367944696......)

n=64792: c25310(2961863638......) = 187752931372553 * c25296(1577532567......)

n=27284: c12874(3782877411......) = 3725474232159929 * x12859(1015408287......)

n=27966: c9039(5817379501......) = 1142838482480623 * c9024(5090290177......)

n=27980M: c5562(1342897624......) = 1880757954820561 * c5546(7140193779......)

n=32818: c16061(3466179793......) = 2480447633750077 * c16046(1397400915......)

n=56994: c15299(7321978352......) = 2598147819613459 * c15284(2818153107......)

n=57122: c26340(3902670320......) = 2730991789227703 * x26325(1429030411......)

n=63888: c19347(8235805394......) = 2479323586444321 * x19332(3321795283......)

n=66868: x32806(2584342830......) = 6355701460469549 * c32790(4066180336......)

n=67878: c22559(7819338872......) = 8464921756532533 * c22543(9237343352......)

n=33939: c22547(5905236703......) = 1867593884685427 * c22532(3161949046......)

n=13539: c9024(9009009009......) = 12934662355187311 * c9008(6965012894......)

n=27208: c12808(1040524578......) = 22020758314044793 * c12791(4725198668......)

n=27284: x12859(1015408287......) = 13941933088940881 * c12842(7283124093......)

n=28572: c9486(1046127110......) = 17304568836312181 * c9469(6045380963......)

n=53556: c17816(3328225428......) = 14397798466718701 * c17800(2311621069......)

n=54156: c18025(1751019535......) = 60711055779812341 * x18008(2884185610......)

n=28079: c27341(7622593048......) = 10963666722330253 * c27325(6952594639......)

n=28361: c27904(1691561022......) = 88936570248058769 * c27887(1901985896......)

n=57080: x22784(1436665292......) = 17501252918867681 * c22767(8208928235......)

n=57356: x26409(1751845613......) = 73834725031099969 * x26392(2372658139......)

n=57516: c19147(1847491697......) = 10509533339403289 * c19131(1757919821......)

n=59876: c29913(9645383127......) = 77803278425464829 * c29897(1239714228......)

n=62532: c20708(7047547967......) = 64093581404591941 * c20692(1099571566......)

n=63546: c16883(6016361962......) = 33141164036343049 * c16867(1815374365......)

n=63888: x19332(3321795283......) = 15207193873590049 * x19316(2184357818......)

n=64974: c16109(2918805917......) = 11606849976850129 * c16093(2514727013......)

n=66374: c25766(6732731120......) = 28443806663375797 * c25750(2367028858......)

n=66776: c31347(6044492265......) = 56517176088207113 * c31331(1069496511......)

n=27674: c13560(2794266552......) = 113679052021421729 * c13543(2458031187......)

n=13983: c9023(1870789040......) = 251910661725432079 * c9005(7426398817......)

n=31100M: c6153(1043005652......) = 154193435103171301 * c6135(6764267566......)

n=33468: c11133(7479734950......) = 477566196497739121 * c11116(1566219511......)

n=54156: x18008(2884185610......) = 111086555836016989 * c17991(2596340834......)

n=54568: c25763(6629919423......) = 915263713183988617 * c25745(7243725854......)

n=57122: x26325(1429030411......) = 723228425559668081 * c26307(1975904653......)

n=68698: c29368(5861066272......) = 875535044082042583 * c29350(6694268049......)

n=30132: c9707(2554414081......) = 4385131773883319881 * c9688(5825170629......)

n=31266: c10353(2611814285......) = 2430060994027992223 * c10335(1074793716......)

n=33434: c16397(3166958901......) = 1256252419301834819 * c16379(2520957454......)

n=53760: c12255(3405426532......) = 2795401081979842561 * c12237(1218224660......)

n=56158: c27349(3729085787......) = 1298443370932803167 * c27331(2871966441......)

n=19876: c9922(1278239637......) = 4554997149189741181 * c9903(2806235866......)

n=32513: c28780(1564268078......) = 7501933595180803871 * c28761(2085153191......)

n=14899: c14526(7426887584......) = 36661140504636919867 * c14507(2025820114......)

n=58438: c28656(1095349461......) = 29360531294653875007 * c28636(3730686785......)

n=59250: c15577(3888904384......) = 23736334873101924001 * c15558(1638376103......)

n=29811: c18776(9900045587......) = 19174525586872404631 * c18757(5163124137......)

n=62200: c24777(5862211378......) = 23035756490673150001 * c24758(2544831284......)

n=63434: c25859(5457950952......) = 19907816000149929139 * c25840(2741612114......)

n=31853: c31183(2301865138......) = 45808770441401620241 * c31163(5024944166......)

n=63802: c28486(4270469312......) = 20058064551050802637 * c28467(2129053529......)

n=31923: c21249(3419429786......) = 73480416004357005997 * c21229(4653525350......)

n=21392: c9090(7200790650......) = 22272420208644947041 * c9071(3233052620......)

n=33189: c18990(3722122120......) = 22134938504556711133 * c18971(1681559729......)

n=16068: c4859(5209026393......) = 157454610810626155729 * c4839(3308271740......)

n=14379: c9580(3132587714......) = 143517662464671116521 * c9560(2182719298......)

n=28848: c9592(2569830854......) = 769375029214394458417 * c9571(3340153705......)

n=54184: c24936(1065052242......) = 359297079791391521729 * x24915(2964266349......)

n=54184: x24915(2964266349......) = 781425553745256489889 * c24894(3793408514......)

n=59564: c29762(6240079355......) = 173481840250208431609 * c29742(3596964008......)

n=30991: c29133(6552261765......) = 120368970490766396089 * c29113(5443480773......)

n=13546: c6225(3397986271......) = 2066968766882353187933 * x6204(1643946597......)

n=14033: c14017(9886440294......) = 1027734090593780018831 * x13996(9619648102......)

n=34194: x11026(1000708601......) = 2999932483257894807943 * c11004(3335770412......)

n=53982: c17975(6404646436......) = 1205138308318679307007 * c17954(5314449297......)

n=20680: c7348(1724211581......) = 1023696097130909777521 * c7327(1684300239......)

n=62244: c15530(5261375767......) = 4849977923374563710641 * c15509(1084824683......)

n=14033: x13996(9619648102......) = 80342696567214775334077 * c13974(1197327014......)

n=17698: c8839(2590074346......) = 14740715017407477214859 * c8817(1757088678......)

n=22126: c9504(9090909090......) = 20130793437324025887419 * c9482(4515921898......)

n=13546: x6204(1643946597......) = 346135779521358577130693 * c6180(4749426944......)

n=28012: c13597(1820288053......) = 499066890177171383355709 * c13573(3647382925......)

n=14029: c14029(1111111111......) = 215937723336566273735603 * c14005(5145516466......)

n=9499: c7621(3857716368......) = 504334238852177880562837 * c7597(7649126455......)

n=57356: x26392(2372658139......) = 2264056121644386142217041 * c26368(1047967900......)

n=27861: c17979(3599186450......) = 17527728248098101169 * c17960(2053424379......)

n=63888: x19316(2184357818......) = 203876971134698883649 * c19296(1071409785......)

n=18156: c5632(9901000000......) = 23603484991489540261 * c5613(4194719552......)

# 75111 of 100000 Phi_n(10) factorizations were cracked.

# 7455 of 9592 R_prime factorizations were cracked.

September 2, 2013 2013 年 9 月 2 日 (Kurt Beschorner)

n=4077: c2700(9999999990......) = 20553254823907774061049359425987 * c2669(4865409433......)

# ECM B1=1e6, sigma=2642782238

n=4145: c3299(2176689546......) = 275840670494982649870439641 * c3272(7891111716......)

# ECM B1=1e6, sigma=3580392003

n=97463: c97450(4190725932......) = 139854889149359 * c97436(2996481537......)

# mfaktc

# 75106 of 100000 Phi_n(10) factorizations were cracked.

September 2, 2013 2013 年 9 月 2 日 (Makoto Kamada)

n=46858: c20066(2271761371......) = 4001521426939 * c20053(5677244051......)

n=46896: c15611(1015417087......) = 15729851958673 * x15597(6455350567......)

n=46896: x15597(6455350567......) = 17689652212273 * c15584(3649224128......)

n=23303: c19933(5622594720......) = 9236073441911 * c19920(6087646179......)

n=46542: c15506(9837889389......) = 5487806082571 * c15494(1792681673......)

n=46442: c21094(2277447329......) = 9982106151007 * c21081(2281529864......)

September 1, 2013 2013 年 9 月 1 日 (Makoto Kamada)

n=47406: c15796(2318014425......) = 19725173016727 * c15783(1175155434......)

n=23653: c19436(1174374557......) = 11681323610027 * c19423(1005343740......)

n=47208: c13420(3211165953......) = 7066575292057 * c13407(4544161522......)

n=47028: c15673(1009998990......) = 4245757018189 * c15660(2378843126......)

n=47052: c15651(5161683233......) = 7119935694901 * c15638(7249620578......)

# 75105 of 100000 Phi_n(10) factorizations were cracked.

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