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January 22, 2026 2026 年 1 月 22 日 (Torbjörn Granlund)

# via Kurt Beschorner

n=111603: c74400(9009009009......) = 8962164345145849 * c74385(1005226936......)

n=111607: c110896(9000000000......) = 137813632496762111 * c110879(6530558578......)

n=111615: c50976(9009100000......) = 37946581459537591 * c50960(2374153258......)

n=111621: c71787(4972160381......) = 2520422895741391 * c71772(1972748458......)

n=111679: c107765(1403290237......) = 64826119034473361 * c107748(2164698826......)

n=111743: c110731(1364067483......) = 58490043050167837 * c110714(2332136228......)

n=111745: c89392(9000090000......) = 12190176375331991 * c89376(7383067909......)

n=111797: c95803(8752534873......) = 190913273232194129 * c95786(4584560688......)

n=111807: c71987(1055335687......) = 1289461713721813 * c71971(8184311919......)

n=111931: c111097(1622310937......) = 9441946221755449 * c111081(1718195486......)

n=111979: c90241(1111110999......) = 162089808855125159 * x90223(6854909681......)

n=111979: x90223(6854909681......) = 4173518198425031 * c90208(1642477486......)

n=111999: c72561(2971567206......) = 39280645384628467 * c72544(7564965334......)

n=112039: c111240(9000000000......) = 11981277649600279 * c111224(7511719754......)

n=112041: c73069(1447762567......) = 5898087454813039 * c73053(2454630554......)

n=112177: c103536(9000000000......) = 1334277634739999 * c103521(6745222857......)

n=112227: c74810(2361025277......) = 2069791283757679 * c74795(1140706937......)

n=112229: c101352(1750606327......) = 1424339323792321 * c101337(1229065503......)

n=112285: c84461(1159507974......) = 23883911368077361 * c84444(4854765856......)

n=112293: c74813(9695886744......) = 13651988649510241 * c74797(7102179025......)

n=112301: c94302(1377087258......) = 1636785731880041 * x94286(8413363040......)

n=112301: x94286(8413363040......) = 1805278149872401 * c94271(4660424788......)

n=112369: c109287(3208864748......) = 17509237838803483 * c109271(1832669576......)

n=112371: c64188(4465800049......) = 93600997666474201 * c64171(4771103044......)

n=112411: c103729(5510719721......) = 27392869936490813 * c103713(2011735073......)

n=112431: c68121(1109999999......) = 34644926961438751 * c68104(3203932284......)

n=112491: c72216(4193896759......) = 3113156455057801 * c72201(1347152582......)

n=112531: c109872(9000000000......) = 100189833765249253 * c109855(8982947332......)

n=112593: c69254(1461720724......) = 47359875409684969 * c69237(3086411676......)

n=112617: c72577(1000000001......) = 67919792568244489 * c72560(1472324874......)

n=112619: c103937(3805498276......) = 39112152491367359 * c103920(9729708120......)

n=112655: c90120(9000090000......) = 15213050567435521 * c90104(5916032396......)

n=112723: c96089(1767191999......) = 12484098270977321 * c96073(1415554380......)

n=112733: c111216(9482444492......) = 25542635532419231 * c111200(3712398620......)

n=112745: c90192(9000090000......) = 30573018142155481 * c90176(2943801609......)

n=112781: c108838(3107906472......) = 23019775071798079 * c108822(1350102884......)

n=112783: c102513(3191970307......) = 7996559295198893 * c102497(3991679658......)

n=112853: c104160(9000000000......) = 6761486184604841 * c104145(1331068311......)

n=112873: c110075(1328925239......) = 207777073133938307 * c110057(6395918563......)

n=112929: c75284(9009009009......) = 36639582421553959 * c75268(2458818691......)

n=113033: c103675(1638326082......) = 191031191280381559 * c103657(8576222929......)

n=113049: c73009(1000000001......) = 142835958490246921 * c72991(7001038194......)

n=113097: c75371(2292018448......) = 6707981957860321 * c75355(3416852435......)

n=113103: c73067(3862255737......) = 171039480891342643 * c73050(2258107728......)

n=113169: c60665(1072866478......) = 3845658669317809 * c60649(2789812019......)

n=113179: c102853(7687630102......) = 2881343193875191 * c102838(2668071654......)

n=113235: c60385(1109988900......) = 10740857149023751 * c60369(1033426741......)

n=113289: c68633(5050489654......) = 114855087731180347 * c68616(4397271164......)

n=113297: c104545(1111111111......) = 6799928002849031 * c104529(1634004228......)

n=113303: c109368(9000000000......) = 21712511460803477 * c109352(4145075532......)

n=113485: c90784(9000090000......) = 65982366861654071 * c90768(1364014422......)

n=113617: c97380(9000000900......) = 113447575540075519 * c97363(7933180464......)

n=113725: c90947(1845050479......) = 172305168090532201 * c90930(1070803911......)

n=113851: c113146(6587552599......) = 46533117114406427 * c113130(1415669744......)

n=113911: c97593(1580480971......) = 82871145817400641 * c97576(1907154723......)

n=113967: c64153(1000000000......) = 11781586615824397 * c64136(8487821145......)

n=113977: c113296(9000000000......) = 29139353364342721 * c113280(3088606630......)

n=113979: c75984(9009009009......) = 160361214613608637 * c75967(5617947600......)

n=113981: c92413(9667609777......) = 26818863032090053 * c92397(3604779876......)

n=113987: c110262(1372686394......) = 54618593148497951 * c110245(2513221808......)

n=113991: c75986(6586048038......) = 2641335143521387 * x75971(2493454135......)

n=113991: x75971(2493454135......) = 45199396973858761 * c75954(5516565049......)

n=114099: c74865(4322153930......) = 1275537819813427 * c74850(3388495317......)

n=114111: c73441(1001000999......) = 1493364030117787 * x73425(6702993910......)

n=114111: x73425(6702993910......) = 53223547922244613 * c73409(1259403811......)

n=114153: c70200(8550057924......) = 19756337791856329 * c70184(4327754472......)

n=114163: c95482(4490741169......) = 1438522016274043 * c95467(3121774375......)

n=114235: c79200(9000090000......) = 39278398116361801 * c79184(2291358719......)

n=114279: c69218(1282309760......) = 3716136970411471 * c69202(3450652573......)

n=114361: c99786(3238606364......) = 4696506791934413 * c99770(6895777026......)

n=114411: c69314(2425465552......) = 10339360608201241 * c69298(2345856426......)

n=114423: c74425(1109999999......) = 121083144551460043 * c74407(9167254485......)

n=114523: c112807(9690973852......) = 2280868092465239 * c112792(4248809426......)

n=114637: c107173(6511629390......) = 9190404781360843 * c107157(7085247652......)

n=114639: c63635(8546387115......) = 191889058173634711 * c63618(4453816802......)

n=114653: c89281(1111110999......) = 182060734328733569 * c89263(6102968902......)

n=114717: c76458(9776303284......) = 12445859235242401 * x76442(7855064965......)

n=114717: x76442(7855064965......) = 1945694638711363 * c76427(4037151981......)

n=114719: c104280(9000000000......) = 63548151570120449 * c104264(1416248903......)

n=114727: c112233(2482502974......) = 7913206087107311 * c112217(3137164566......)

n=114777: c69960(5508667728......) = 217451405203769413 * c69943(2533286792......)

n=114849: c65583(4558473191......) = 4603995973514827 * c65567(9901123324......)

n=114979: c111240(9000000000......) = 68401832740283369 * c111224(1315754218......)

n=114999: c76645(3915548873......) = 4520578605279001 * c76629(8661609973......)

n=115049: c104580(9000000000......) = 57341105224609471 * c104564(1569554678......)

n=115071: c69514(7241900477......) = 2083882780680361 * c69499(3475195699......)

n=115141: c99782(1277239301......) = 68478201209168557 * c99765(1865176477......)

n=115159: c95739(4097549721......) = 17994762194901559 * c95723(2277079117......)

n=115173: c75220(6249950897......) = 1334362405975201 * x75205(4683848157......)

n=115173: x75205(4683848157......) = 22829142258067843 * c75189(2051696951......)

n=115205: c92160(9000090000......) = 63438120534662191 * c92144(1418719521......)

n=115215: c61441(1109988900......) = 55964245109441521 * c61424(1983389390......)

n=115229: c113270(1583329712......) = 195547617576943717 * c113252(8096901063......)

n=115231: c114254(5450762958......) = 37745864796981773 * c114238(1444068903......)

n=115243: c108437(1058844651......) = 17765676982365667 * c108420(5960057995......)

n=115257: c75889(1109999999......) = 57979762132775071 * c75872(1914461113......)

n=115313: c104720(9999999999......) = 158793142656274523 * x104703(6297501159......)

n=115313: x104703(6297501159......) = 63181822871368169 * c104686(9967267282......)

n=115317: c76850(7601728936......) = 2532857210314813 * c76835(3001246539......)

n=115353: c65881(1001000999......) = 7200974759839561 * c65865(1390090971......)

n=115371: c76896(9999999990......) = 89275026207926071 * c76880(1120134086......)

n=115375: c83977(6653400616......) = 20610999981139751 * c83961(3228082394......)

n=115409: c98916(9000000900......) = 90197617579185397 * c98899(9978091596......)

n=115541: c112798(6594006768......) = 131538361486187039 * c112781(5012991414......)

n=115543: c114791(1563383042......) = 9204418921566529 * c114775(1698513568......)

n=115567: c114679(1019202748......) = 4449899570053271 * c114663(2290394946......)

n=115575: c58043(5185067052......) = 93579470955028951 * c58026(5540816805......)

n=115581: c75612(2409490146......) = 189359809317307711 * c75595(1272440099......)

n=115599: c67191(3619080431......) = 194987934251098957 * x67174(1856053527......)

n=115599: x67174(1856053527......) = 3279720786392293 * c67158(5659181522......)

n=115629: c77071(1169824675......) = 16926653084113159 * c77054(6911139904......)

n=115653: c73009(1109999999......) = 1163183647083973 * c72993(9542775148......)

n=115695: c61619(7446908575......) = 84524514011103601 * c61602(8810353614......)

n=115701: c77123(2182425399......) = 15483884246138827 * c77107(1409481861......)

n=115715: c92563(3888886968......) = 34496398388116351 * c92547(1127331301......)

n=115753: c98866(1156266869......) = 4873949157676919 * c98850(2372340850......)

n=115817: c104401(1111111111......) = 107800492750913093 * c104384(1030710605......)

n=115821: c72546(2627069612......) = 15969866570572987 * c72530(1645016632......)

n=115825: c89581(3374307854......) = 1289979819127751 * c89566(2615783444......)

n=115829: c99276(9000000900......) = 1391331984428107 * c99261(6468622155......)

n=115851: c72850(2327675693......) = 22786988076797227 * c72834(1021493356......)

n=115887: c77223(4390620217......) = 9457892497410157 * c77207(4642281796......)

n=115909: c112108(5014029401......) = 1641949997713253 * c112093(3053704076......)

n=115919: c109775(1861809621......) = 70092340738358441 * c109758(2656224064......)

n=115921: c103681(1111111111......) = 187869208919059201 * c103663(5914280032......)

n=115941: c66235(1196727961......) = 87060982808659231 * c66218(1374585862......)

n=115949: c113436(9000000000......) = 6277828964527031 * c113421(1433616629......)

n=115995: c51817(2956323873......) = 26062043997563641 * c51801(1134340757......)

n=115999: c107041(1783005492......) = 17811974557115467 * c107025(1001015068......)

n=116003: c115320(9000000000......) = 25050480307718843 * c115304(3592745484......)

n=116007: c77336(9009009009......) = 25610478733332679 * c77320(3517704258......)

n=116013: c77340(9009009009......) = 10680881188374601 * c77324(8434705760......)

n=116045: c92804(7440532889......) = 14478882811305961 * c92788(5138886049......)

n=116055: c61873(1001000999......) = 8058588065809921 * c61857(1242154322......)

n=116065: c91633(1111099999......) = 47220448607885911 * c91616(2353006023......)

n=116083: c103192(7897438349......) = 13064746278499147 * c103176(6044846322......)

n=116097: c77382(1044371447......) = 1350098945151871 * c77366(7735517840......)

n=116111: c114303(1212527545......) = 4053162857194879 * c114287(2991558909......)

n=116125: c92800(9999999999......) = 97914246391506001 * c92784(1021301839......)

n=116163: c77409(4264451486......) = 155079544481842231 * c77392(2749847828......)

n=116171: c103205(2371103912......) = 2059045878116107 * c103190(1151554677......)

n=116175: c61901(3290668520......) = 2528828478484201 * c61886(1301262046......)

n=116203: c112163(1936262539......) = 1596243459041653 * c112148(1213012043......)

n=116207: c91853(3375369239......) = 195129259203075289 * c91836(1729811947......)

n=116209: c114660(9000000000......) = 2378932338672271 * x114645(3783209742......)

n=116209: x114645(3783209742......) = 6395587027773523 * c114629(5915344011......)

n=116231: c113700(2313158395......) = 5227265284591997 * c113684(4425178883......)

n=116255: c92994(1382442632......) = 25348288307481551 * c92977(5453790864......)

n=116267: c115524(4268367705......) = 59391746184906307 * c115507(7186802847......)

n=116281: c102288(2568072901......) = 2590968847508449 * c102272(9911631721......)

n=116295: c61988(1890252296......) = 7866895432854721 * c61972(2402793214......)

n=116321: c115627(3868588352......) = 86245899665587843 * c115610(4485533071......)

n=116357: c111276(9000000000......) = 27337649163122747 * c111260(3292163106......)

n=116365: c85249(1000000000......) = 14883570187536031 * c85232(6718818048......)

n=116397: c77417(5886607885......) = 3640731790974373 * c77402(1616874909......)

n=116421: c76780(6403267366......) = 14155448946763681 * c76764(4523535346......)

n=116441: c105434(1155157127......) = 51780044652386597 * c105417(2230892490......)

n=116453: c115188(2048303227......) = 23027025659928601 * c115171(8895214076......)

n=116501: c84480(9000000900......) = 13411148143176323 * c84464(6710835495......)

n=116529: c64080(9009009909......) = 1088024633410639 * c64065(8280152519......)

n=116557: c99900(9000000900......) = 3059251025105507 * c99885(2941896832......)

n=116561: c115812(1682675291......) = 39943629642645671 * c115795(4212624908......)

n=116591: c112790(7743607152......) = 8604578092573363 * c112774(8999403653......)

n=116597: c107604(1078911083......) = 11120408076368839 * c107587(9702081762......)

n=116599: c99936(9000000900......) = 94713012054627359 * c99919(9502391175......)

n=116641: c94594(1348731855......) = 165667369918919387 * c94576(8141204005......)

n=116651: c115752(9000000000......) = 109010418166820827 * c115735(8256091620......)

n=116661: c75595(4757353539......) = 28416224534037427 * c75579(1674168056......)

n=116667: c74572(2229935329......) = 5538318860889631 * c74556(4026375847......)

n=116669: c99960(9999999000......) = 1127438826425563 * c99945(8869659945......)

n=116673: c77750(9257301200......) = 18651723143184319 * c77734(4963241803......)

n=116727: c69103(1052260479......) = 3120688368343729 * c69087(3371885798......)

n=116771: c111644(9572333320......) = 59450464917136831 * c111628(1610135990......)

n=116775: c61892(3686446111......) = 20832706786837951 * c61876(1769547351......)

n=116821: c116013(3509738074......) = 105312611701079203 * x115996(3332685437......)

n=116821: x115996(3332685437......) = 105586940908669163 * c115979(3156342450......)

n=116845: c93448(5310585168......) = 8641492088312071 * c93432(6145449320......)

n=116851: c100152(9000000900......) = 6502553805645241 * c100137(1384071730......)

n=116859: c77887(7167161952......) = 12186633738252679 * c77871(5881166289......)

n=116869: c110695(1925228406......) = 1521122519724919 * x110680(1265662944......)

n=116869: x110680(1265662944......) = 89529188137024667 * c110663(1413687503......)

n=116875: c80001(1000000000......) = 54187889280195001 * c79984(1845430802......)

n=116889: c76158(5239213945......) = 1013999967403603 * c76143(5166877824......)

n=116919: c70794(2140372364......) = 3249841795750441 * c70778(6586081720......)

n=116921: c100212(9000000900......) = 2607498093358439 * c100197(3451584844......)

n=116985: c56626(2384970065......) = 15599068190346961 * c56610(1528918289......)

n=117003: c76095(2387852058......) = 14240412280016119 * c76079(1676813853......)

n=117031: c113820(4993683179......) = 3397363338320467 * c113805(1469870214......)

n=117033: c66831(3323179219......) = 1060628582609191 * c66816(3133216730......)

n=117069: c78039(1923863228......) = 67165148390763037 * c78022(2864377246......)

n=117091: c108044(1528131949......) = 32970849896391889 * c108027(4634796962......)

n=117097: c110906(5900276048......) = 3704088833446933 * c110891(1592908894......)

n=117103: c100362(7685535993......) = 2226154266224533 * c100347(3452382483......)

n=117107: c116253(2357779047......) = 77022553119251357 * c116236(3061154106......)

n=117115: c91873(1111099999......) = 1276751714092511 * c91857(8702553423......)

n=117139: c101624(2774886842......) = 44463969999820009 * c101607(6240753676......)

n=117147: c73458(1525012878......) = 4206606451624111 * c73442(3625280606......)

n=117151: c116352(9000000000......) = 46306505030758169 * c116336(1943571425......)

n=117157: c115584(1094214772......) = 10392960204701441 * c115568(1052842261......)

n=117161: c106495(3840852157......) = 32236293643068923 * c106479(1191468287......)

n=117177: c77250(1050441514......) = 159001637830317307 * c77232(6606482355......)

n=117181: c107513(8945289295......) = 87985181331678923 * c107497(1016681350......)

n=117185: c89574(5679842896......) = 8235623302095311 * c89558(6896676411......)

n=117201: c66951(6043974472......) = 8719969772073631 * c66935(6931187413......)

n=117247: c104149(1831995299......) = 23776864384426973 * c104132(7704949104......)

n=117257: c100448(1142042383......) = 81164151343853719 * c100431(1407077342......)

n=117301: c114400(9000000000......) = 64158169836254761 * c114384(1402783156......)

n=117303: c76801(1109999999......) = 9362817493876831 * c76785(1185540571......)

n=117309: c78195(1516713146......) = 66150750059704003 * c78178(2292813226......)

n=117345: c62545(1225666817......) = 2368522573608721 * c62529(5174815856......)

n=117351: c66816(9990000009......) = 48455162159475241 * c66800(2061699840......)

n=117381: c71121(1109999999......) = 76891016218129279 * c71104(1443601677......)

n=117395: c91928(4909039379......) = 5779459373606801 * c91912(8493942187......)

n=117411: c67081(1109999889......) = 2670428810775013 * c67065(4156635385......)

n=117419: c110496(9000000000......) = 1585970880375083 * c110481(5674757406......)

n=117425: c71986(7250870612......) = 8297978789577401 * c71970(8738116590......)

n=117439: c95257(1111110999......) = 157060138396559357 * c95239(7074430287......)

n=117457: c115757(1451357255......) = 6786114934342721 * c115741(2138715995......)

n=117479: c113395(3830455526......) = 1002972541765231 * c113380(3819103082......)

n=117505: c92395(1575959071......) = 2508716698784551 * c92379(6281933197......)

n=117531: c78276(3677601633......) = 1142298407740843 * c78261(3219475409......)

n=117545: c94019(1815795999......) = 1251407620140751 * c94004(1451002830......)

n=117557: c106854(3189940769......) = 5599398887503609 * c106838(5696934321......)

n=117579: c60938(1999786062......) = 1017342953496871 * c60923(1965695103......)

n=117593: c99201(1608987307......) = 9328359186573883 * c99185(1724834212......)

n=117635: c80641(1111099888......) = 1716749148350321 * c80625(6472115567......)

n=117657: c73729(1001000999......) = 141471615232723933 * c73711(7075631379......)

n=117663: c61915(1914151170......) = 2985368156698201 * c61899(6411775936......)

n=117685: c94144(9000090000......) = 15700338451214231 * c94128(5732417825......)

n=117711: c67188(6147492362......) = 3683029078015453 * c67173(1669140327......)

n=117741: c72427(4713716064......) = 1701760108913671 * c72412(2769906310......)

n=117749: c116052(2807832232......) = 38084095279164169 * c116035(7372716122......)

n=117789: c65499(5697837604......) = 20467153049085121 * c65483(2783893583......)

n=117817: c100948(5825529185......) = 2688040905423889 * c100933(2167202580......)

n=117823: c115748(1885368520......) = 3465064076978201 * c115732(5441078371......)

n=117847: c117040(9000000000......) = 24410287190931643 * c117024(3686970140......)

n=117869: c117162(3903956060......) = 222085606045639157 * x117145(1757860912......)

n=117869: x117145(1757860912......) = 8016781396103533 * c117129(2192726513......)

n=117893: c114055(3817004330......) = 13561396487935717 * x114039(2814610083......)

n=117893: x114039(2814610083......) = 17695000619008831 * c114023(1590624461......)

n=117895: c82937(2206354822......) = 2171576760420841 * x82922(1016015119......)

n=117895: x82922(1016015119......) = 34163129533615351 * c82905(2974010676......)

n=117909: c71261(1981078015......) = 8307222222942919 * c71245(2384765885......)

n=117943: c96433(1000000100......) = 16486524983972933 * c96416(6065560213......)

n=117947: c116364(1253771383......) = 1867512030290237 * c116348(6713592006......)

n=117965: c94362(5449609479......) = 106912679735615921 * c94345(5097252723......)

n=117971: c95674(9002054930......) = 39092462215294321 * c95658(2302759770......)

n=118007: c117207(9504818303......) = 141490880685168761 * c117190(6717619013......)

n=118015: c94408(9000090000......) = 170469045132484081 * c94391(5279603692......)

n=118047: c73843(2722260865......) = 66223700325789997 * c73826(4110704855......)

n=118049: c116703(1226184349......) = 1945112334974773 * c116687(6303925628......)

n=118059: c71444(2974264095......) = 4060303059273157 * c71428(7325226842......)

n=118063: c107314(6352536108......) = 3251016574867799 * c107299(1954015294......)

n=118087: c117367(4834136368......) = 1460184629240401 * c117352(3310633649......)

n=118103: c116688(9000000000......) = 84059929230032879 * c116672(1070664712......)

n=118123: c111882(4761982868......) = 1748843562138929 * c111867(2722932440......)

n=118181: c101292(9000000900......) = 1085778786981533 * c101277(8288982072......)

n=118215: c60474(2485500626......) = 1984121860601431 * c60459(1252695550......)

n=118233: c75592(1600052127......) = 1141263304715467 * c75577(1402000853......)

n=118251: c67513(9096554985......) = 150063584572980289 * c67496(6061800410......)

n=118257: c78826(2556224096......) = 1835264803355449 * c78811(1392836658......)

n=118281: c77779(8975091698......) = 56785980600881401 * c77763(1580511880......)

n=118283: c107506(1649257380......) = 113996905447099027 * x107489(1446756272......)

n=118283: x107489(1446756272......) = 1649048938946399 * p107473(8773276756......)

$ ./pfgw64 -tc -q"9*(10^118283-1)/102584248160709208281690489429805181088536061161/(10^11-1)/(10^10753-1)"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing 9*(10^118283-1)/102584248160709208281690489429805181088536061161/(10^11-1)/(10^10753-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]

F: 9*(10^118283-1)/....-1)/(10^10753-1) 225280/1125566 (trial factor to 36815659
F: 9*(10^118283-1)/....-1)/(10^10753-1) 450560/1125566 (trial factor to 36815659
F: 9*(10^118283-1)/....-1)/(10^10753-1) 675840/1125566 (trial factor to 36815659
F: 9*(10^118283-1)/....-1)/(10^10753-1) 901120/1125566 (trial factor to 36815659
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)

Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)         9*(10^118283-1)/102584248160709208281690489429805181088536061161/(10^11-1)/(10^10753-1) is Fermat and Lucas PRP! (759.4846s+0.0029s)                            

n=118287: c72577(1000000001......) = 28869740674831369 * c72560(3463834373......)

n=118349: c87360(9000000900......) = 20541959787909253 * c87344(4381276661......)

n=118385: c94694(1527351181......) = 89986378759829311 * c94677(1697313751......)

n=118439: c111444(1041526892......) = 3837827369684267 * c111428(2713845080......)

n=118459: c106480(9999999999......) = 16582010634644797 * x106464(6030631761......)

n=118459: x106464(6030631761......) = 3462637378465277 * c106449(1741629602......)

n=118473: c70372(6263571079......) = 211218268730170027 * c70355(2965449493......)

n=118489: c101550(2712728664......) = 17945860911060293 * c101534(1511618014......)

n=118507: c111499(2812889426......) = 48337755653876603 * c111482(5819238789......)

n=118565: c90641(1111099999......) = 4656054775588231 * c90625(2386355087......)

n=118591: c107792(1297727218......) = 57365520994839443 * c107775(2262207674......)

n=118625: c86386(9393493875......) = 116571987088488751 * c86369(8058105647......)

n=118655: c89857(1111099999......) = 146980696173189031 * x89839(7559496103......)

n=118655: x89839(7559496103......) = 194762114486796751 * c89822(3881399687......)

n=118677: c68331(1065077264......) = 12694054338670849 * c68314(8390363208......)

n=118683: c79110(3826080699......) = 133725339534435157 * c79093(2861148614......)

n=118713: c67812(1076005903......) = 177833172261685627 * c67794(6050647863......)

n=118745: c80634(9474167887......) = 6915311143656631 * x80619(1370027709......)

n=118745: x80619(1370027709......) = 95268985846987591 * c80602(1438062657......)

n=118759: c117490(9013122452......) = 60856254987501361 * c117474(1481051118......)

n=118783: c99939(1599669048......) = 2771586287101759 * c99923(5771673269......)

n=118785: c63327(1241012179......) = 3734713213440481 * c63311(3322911582......)

n=118805: c95040(9000090000......) = 1964639052500071 * c95025(4581039957......)

n=118815: c62657(1000000000......) = 166922383514619631 * c62639(5990808296......)

n=118851: c78412(1329573649......) = 167748094576347601 * c78394(7926013423......)

n=118899: c72001(1001000999......) = 211685132283802453 * c71983(4728726052......)

n=118923: c67849(4973880708......) = 29915179397237359 * c67833(1662661166......)

n=118935: c63351(3782936169......) = 77033113425542161 * c63334(4910792256......)

n=118941: c77275(4666159414......) = 1272938142994351 * c77260(3665660770......)

n=118943: c108020(9999999999......) = 1172832972344507 * c108005(8526363289......)

n=118979: c97411(4669337995......) = 52090496123331947 * c97394(8963896185......)

n=119015: c87835(4667879393......) = 1840186779202201 * c87820(2536633480......)

n=119079: c77983(1737027552......) = 52350982830522037 * c77966(3318041913......)

n=119081: c118260(3449354872......) = 1983167978229413 * c118245(1739315534......)

n=119103: c74583(3175527282......) = 1821310675472053 * c74568(1743539597......)

n=119133: c64776(3000648590......) = 99261130762523773 * c64759(3022984492......)

n=119169: c79429(1305488787......) = 14867298008174791 * c79412(8780941817......)

n=119181: c79439(1532007199......) = 3405103945735351 * c79423(4499149581......)

n=119213: c117880(2242873499......) = 31262283649602053 * c117863(7174375117......)

n=119303: c117000(9000000000......) = 1407237794673947 * c116985(6395507592......)

n=119345: c95462(6214759352......) = 13553420616324361 * x95446(4585380715......)

n=119345: x95446(4585380715......) = 188896400369730671 * c95429(2427457964......)

n=119367: c79538(2828425749......) = 89526699334776547 * c79521(3159309759......)

n=119405: c79666(1199478724......) = 109641512333358721 * x79649(1094000528......)

n=119405: x79649(1094000528......) = 49208601665916551 * c79632(2223189628......)

n=119409: c77995(2323940565......) = 34782508649925613 * x77978(6681348344......)

n=119409: x77978(6681348344......) = 46187627513489521 * c77962(1446566689......)

n=119415: c60170(3720078778......) = 221974901560874311 * c60153(1675900632......)

n=119427: c60720(9999999999......) = 29403988212716041 * c60704(3400899200......)

n=119453: c113142(6278615662......) = 1159791945219613 * c113127(5413570674......)

n=119455: c81882(5813377985......) = 1639933331929271 * c81867(3544886778......)

n=119463: c79629(1051015178......) = 204103840439983867 * x79611(5149414026......)

n=119463: x79611(5149414026......) = 220670683508957677 * c79594(2333528833......)

n=119467: c118644(6390205984......) = 3464048834789729 * c118629(1844721679......)

n=119485: c91322(7141763687......) = 2607406209235151 * c91307(2739029945......)

n=119497: c99770(5545664002......) = 1633628796516809 * c99755(3394690405......)

n=119507: c118440(9000000000......) = 1551369617985827 * c118425(5801325419......)

n=119547: c77321(6977736303......) = 2220464825566921 * c77306(3142466488......)

n=119559: c72429(2773309401......) = 103472496054618373 * c72412(2680238234......)

n=119561: c103637(3269083775......) = 3626906958630853 * c103621(9013420560......)

n=119583: c77093(1142438708......) = 4064662461048841 * c77077(2810660710......)

n=119589: c79724(9009009009......) = 5007578948348203 * c79709(1799074782......)

n=119597: c116621(2734656789......) = 84084596752782191 * c116604(3252268423......)

n=119629: c108473(1726389300......) = 1471508666174563 * c108458(1173210420......)

n=119639: c110410(3292716142......) = 45647184078255631 * x110393(7213404746......)

n=119639: x110393(7213404746......) = 4613214097651667 * c110378(1563639708......)

n=119647: c106550(3390449673......) = 10787568768828479 * c106534(3142922882......)

n=119649: c79764(9009009009......) = 4074185640021997 * c79749(2211241657......)

n=119651: c102552(9000000900......) = 114147892510139867 * c102535(7884509036......)

n=119683: c115528(9000000000......) = 237085127619064169 * c115511(3796104838......)

n=119703: c79800(9009009009......) = 167182413740690311 * c79783(5388730074......)

n=119715: c60896(9009099100......) = 61557511179574561 * c60880(1463525559......)

n=119717: c110490(3132386122......) = 61361365451689889 * c110473(5104818153......)

n=119735: c74388(9181582435......) = 233117114450836001 * c74371(3938613626......)

n=119755: c93399(2306610349......) = 141239228047525081 * x93382(1633123022......)

n=119755: x93382(1633123022......) = 20149121501264521 * c93365(8105182264......)

n=119761: c110881(1111111111......) = 85476950837250449 * p110864(1299895586......)

$ ./pfgw64 -tc -q"(10^23-1)*(10^41-1)*(10^127-1)*(10^119761-1)/769292557535254041/(10^943-1)/(10^2921-1)/(10^5207-1)"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^23-1)*(10^41-1)*(10^127-1)*(10^119761-1)/769292557535254041/(10^943-1)/(10^2921-1)/(10^5207-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]

F: (10^23-1)*(10^41....1-1)/(10^5207-1) 217088/1161127 (trial factor to 38057062
F: (10^23-1)*(10^41....1-1)/(10^5207-1) 434176/1161127 (trial factor to 38057062
F: (10^23-1)*(10^41....1-1)/(10^5207-1) 626688/1161127 (trial factor to 38057062
F: (10^23-1)*(10^41....1-1)/(10^5207-1) 788480/1161127 (trial factor to 38057062
F: (10^23-1)*(10^41....1-1)/(10^5207-1) 946176/1161127 (trial factor to 38057062
F: (10^23-1)*(10^41....1-1)/(10^5207-1) 1116160/1161127 (trial factor to 3805706
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)

Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
(10^23-1)*(10^41-1)*(10^127-1)*(10^119761-1)/769292557535254041/(10^943-1)/(10^2921-1)/(10^5207-1) is Fermat and Lucas PRP! (1140.3115s+2.9920s)


n=119791: c101080(1067120685......) = 49867129313227717 * c101063(2139928046......)

n=119793: c78619(4632972573......) = 6762493188234961 * c78603(6850982980......)

n=119833: c89856(9000000900......) = 1096161395830187 * c89841(8210470587......)

n=119877: c77281(1109999999......) = 5794665802644907 * c77265(1915554818......)

n=119895: c63937(1109988900......) = 3023958989358121 * c63921(3670647994......)

n=119911: c108900(9999999999......) = 5423083749385787 * c108885(1843969310......)

n=119913: c79940(9009009009......) = 5723120145976603 * c79925(1574142911......)

n=119945: c78144(9000090900......) = 12756551756601031 * c78128(7055269380......)

n=119947: c110644(3005113585......) = 18031367623123399 * x110628(1666603248......)

n=119947: x110628(1666603248......) = 6070156953866689 * c110612(2745568625......)

n=119965: c95955(4683130341......) = 8524941693409121 * c95939(5493445597......)

n=119969: c112896(9000000000......) = 1542954598477997 * c112881(5832964890......)

n=120013: c117180(9000000000......) = 3926552647499347 * c117165(2292086929......)

n=120073: c119181(4684649927......) = 7868156882429279 * c119165(5953935587......)

n=120075: c63980(2649840164......) = 1125148323985951 * c63965(2355102974......)

n=120083: c114343(5806953687......) = 96839225830639717 * c114326(5996489167......)

n=120145: c96080(1365811924......) = 7896294076358791 * c96064(1729687257......)

n=120185: c86680(5754153415......) = 50772099334768631 * c86664(1133329819......)

n=120195: c64081(1001000999......) = 9416983623208201 * c64065(1062974132......)

n=120201: c79153(1109999999......) = 6084645581381557 * c79137(1824264018......)

n=120309: c64512(9009009909......) = 8927571091501147 * c64497(1009122169......)

n=120321: c77281(1001000999......) = 3208544613270307 * c77265(3119797667......)

n=120365: c77760(9000090900......) = 11722876275215561 * c77744(7677374297......)

n=120367: c108193(1111111111......) = 26805197487621151 * c108176(4145133090......)

n=120369: c80236(1552155263......) = 55882550116713517 * c80219(2777531197......)

n=120435: c51841(1109988789......) = 104899546508266231 * c51824(1058144506......)

n=120449: c103236(9000000900......) = 8076464002583201 * c103221(1114349162......)

n=120451: c115184(2515797313......) = 5433787083885551 * c115168(4629915148......)

n=120457: c119536(4148480138......) = 88353438977722169 * c119519(4695323901......)

n=120505: c74880(9000090900......) = 1959948558286951 * c74865(4592003633......)

n=120537: c78649(1001000999......) = 93569928028639813 * c78632(1069789216......)

n=120585: c64305(1109988900......) = 96727980621381841 * c64288(1147536517......)

n=120589: c97945(1000000100......) = 1059314850952009 * c97929(9440064954......)

n=120597: c78961(1109999999......) = 15875700296959693 * c78944(6991817552......)

n=120621: c77750(1792535957......) = 1017770672622481 * c77735(1761237580......)

n=120669: c72576(9009009009......) = 58611840924537031 * c72560(1537062966......)

n=120693: c80447(4924048318......) = 148768944870814519 * x80430(3309863037......)

n=120693: x80430(3309863037......) = 4226055205614169 * c80414(7832039282......)

n=120717: c75413(5474036638......) = 3967287812626627 * c75398(1379793172......)

n=120719: c118680(9000000000......) = 94966181462700721 * c118663(9477057897......)

n=120769: c109780(9000000000......) = 79244908461080231 * c109764(1135719653......)

n=120771: c68034(1656026420......) = 5556080564972281 * c68018(2980565889......)

n=120791: c107635(1533102049......) = 20177167462650397 * c107618(7598202534......)

n=120799: c103536(9000000900......) = 47263676379776333 * c103520(1904210926......)

n=120801: c79185(4725891479......) = 2736289725942307 * c79170(1727116626......)

n=120813: c62622(3266839173......) = 107174476840730839 * c62605(3048150333......)

n=120875: c96600(9999999999......) = 177791945166720751 * c96583(5624551770......)

n=120893: c118560(9000000000......) = 1837074792096997 * c118545(4899092861......)

n=120931: c113149(3004440579......) = 5297686333077283 * c113133(5671231535......)

n=120949: c119340(9000000000......) = 4820262141203471 * c119325(1867118371......)

n=120951: c79201(1001000999......) = 179341921022520043 * c79183(5581522681......)

n=120957: c77081(1674601234......) = 168082156687111879 * c77063(9962992307......)

n=120973: c114588(9000000000......) = 28194844594660199 * c114572(3192072923......)

n=121031: c119941(2143758662......) = 6694144979105923 * c119925(3202438353......)

n=121037: c103740(9000000900......) = 36571002182194397 * c103724(2460966438......)

n=121049: c109289(8051770760......) = 9900103798365163 * c109273(8133016505......)

n=121051: c103718(3042490509......) = 4811750732325839 * x103702(6323042649......)

n=121051: x103702(6323042649......) = 9055660066911431 * c103686(6982420500......)

n=121053: c80680(5474278415......) = 5835714791185471 * c80664(9380647634......)

n=121069: c109286(5668134319......) = 10926080883653729 * c109270(5187710378......)

n=121101: c78481(1109999999......) = 13668285295124947 * c78464(8120989400......)

n=121121: c87111(1639502482......) = 1644418694967049 * c87095(9970103645......)

n=121147: c111810(3095411946......) = 3281940516202609 * c111794(9431651581......)

n=121161: c80772(9009009009......) = 62526824417029333 * c80756(1440823053......)

n=121191: c66502(1912649845......) = 5783803099695601 * c66486(3306906913......)

n=121279: c115984(9000000000......) = 32932209704198557 * c115968(2732886763......)

n=121281: c80839(1045899870......) = 1274091136319689 * x80823(8208987883......)

n=121281: x80823(8208987883......) = 83356318605694801 * x80806(9848069133......)

n=121281: x80806(9848069133......) = 94803489256071853 * c80790(1038787623......)

n=121305: c64683(1143798438......) = 77781245018888401 * c64666(1470532437......)

n=121341: c73521(1109999999......) = 104032539587240947 * c73504(1066973856......)

n=121365: c60480(9999999990......) = 19393017380922511 * c60464(5156495141......)

n=121375: c97000(9999999999......) = 21524742407161001 * c96984(4645816340......)

n=121405: c97102(1073153095......) = 51057281157391241 * c97085(2101861029......)

n=121419: c80892(9999999999......) = 28465520302548757 * c80876(3513022032......)

n=121483: c118470(6780936148......) = 113303981449993489 * c118453(5984728922......)

n=121491: c80961(3689788552......) = 4039647211978129 * c80945(9133937592......)

n=121505: c92010(3048159047......) = 26128317601628761 * c91994(1166611296......)

n=121535: c95892(1807227914......) = 237159590397423641 * c95874(7620302899......)

n=121581: c75804(4703883221......) = 56736214693831333 * c75787(8290794947......)

n=121593: c81053(2608855920......) = 17421210922777561 * c81037(1497516981......)

n=121603: c120888(9000000000......) = 6724048265032081 * c120873(1338479387......)

n=121617: c81062(4033979684......) = 23037172997321323 * c81046(1751074094......)

n=121625: c82791(2125754649......) = 56481692064715751 * c82774(3763617149......)

n=121639: c104256(9000000900......) = 43235331930542123 * c104240(2081631040......)

n=121677: c81099(3871648207......) = 4203713156409079 * c81083(9210067535......)

n=121683: c79305(1109999999......) = 2447689211017399 * c79289(4534889458......)

n=121745: c89857(1111099999......) = 1574723302620521 * c89841(7055842751......)

n=121797: c74737(1000000001......) = 48583833670143721 * c74720(2058297844......)

n=121835: c82123(4103894185......) = 1198734556227881 * c82108(3423522049......)

n=121837: c120096(9000000000......) = 198195767217546347 * c120079(4540964787......)

n=121839: c76395(7445394766......) = 185719810737616147 * c76378(4008939454......)

n=121847: c102952(6236332570......) = 1123878389816227 * c102937(5548938948......)

n=121877: c99768(3650092960......) = 14835080812622533 * c99752(2460446967......)

n=121927: c110202(9112913463......) = 120475410191293613 * c110185(7564127358......)

n=121939: c119880(9000000000......) = 60123039344344853 * c119864(1496930311......)

n=121941: c76417(1001000999......) = 30703946442433921 * c76400(3260170486......)

n=121999: c115533(2472437141......) = 2690137193202397 * c115517(9190747399......)

n=122001: c73915(4549124395......) = 5805705707197639 * c73899(7835609700......)

n=122031: c63929(7057279187......) = 10259472663696439 * c63913(6878793305......)

n=122059: c100454(1636581567......) = 107362541563483123 * c100437(1524350619......)

n=122065: c97648(9000090000......) = 2230162874390351 * c97633(4035620045......)

n=122091: c81381(7357284527......) = 2019404079732649 * c81366(3643294871......)

n=122095: c97665(1350070115......) = 80975806530955631 * c97648(1667251211......)

n=122103: c81387(5769015063......) = 123366775897606951 * c81370(4676311771......)

n=122107: c116776(9000000000......) = 5106368810901157 * c116761(1762504890......)

n=122129: c102817(1111110999......) = 20815456312680877 * c102800(5337913247......)

n=122137: c118800(9000000000......) = 102291697840865129 * c118783(8798367990......)

n=122153: c113316(1729624718......) = 19360708766836279 * c113299(8933684914......)

n=122225: c97735(7433457511......) = 4655922164785751 * c97720(1596559660......)

n=122239: c112811(1284804233......) = 2234674187849689 * c112795(5749402935......)

n=122303: c112298(4159099044......) = 7940134983226627 * c112282(5238070956......)

n=122313: c81534(1601203364......) = 98498212702665253 * c81517(1625616669......)

n=122349: c76698(1192156998......) = 3452162302465081 * c76682(3453363120......)

n=122355: c65222(2660007969......) = 90225674115194881 * c65205(2948171898......)

n=122359: c119010(7355398985......) = 93271030718675323 * c118993(7886048785......)

n=122379: c76593(1380741893......) = 2556088134589711 * c76577(5401777329......)

n=122383: c109825(1111111111......) = 8425764556878041 * c109809(1318706573......)

n=122415: c65259(6967331202......) = 106460214664257241 * c65242(6544539878......)

n=122439: c81602(1328204977......) = 106018388099560831 * c81585(1252806236......)

n=122447: c112984(8356790699......) = 30771286852126133 * c112968(2715775501......)

n=122473: c113040(9000000000......) = 3799233473856679 * c113025(2368898900......)

n=122479: c104965(5589812030......) = 168549152046633667 * c104948(3316428450......)

n=122487: c81642(1819409219......) = 5205921728131837 * c81626(3494883932......)

n=122495: c97974(2485876288......) = 198932570937702311 * c97957(1249607480......)

n=122507: c90720(9000000900......) = 141114355577936357 * x90703(6377806753......)

n=122507: x90703(6377806753......) = 19241862297816467 * c90687(3314547549......)

n=122517: c81659(1336505395......) = 7239345481777159 * c81643(1846168827......)

n=122525: c87361(1000000000......) = 11809488208852751 * c87344(8467767462......)

n=122537: c121680(9000000000......) = 41666578003670671 * c121664(2160004596......)

n=122541: c81692(9009009009......) = 16108900373884093 * x81676(5592566096......)

n=122541: x81676(5592566096......) = 57763954723781443 * c81659(9681757635......)

n=122605: c80625(9618287634......) = 194494973061219601 * c80608(4945262843......)

n=122637: c81733(6762729779......) = 194862805741765867 * c81716(3470508265......)

n=122645: c92866(1731847250......) = 44037411454241921 * c92849(3932672682......)

n=122721: c77454(1785210175......) = 98504482712370961 * c77437(1812313638......)

n=122727: c74353(1069085633......) = 22342493328995401 * c74336(4784988037......)

n=122769: c81801(4631875883......) = 36458240769739729 * c81785(1270460610......)

n=122771: c111578(3107312186......) = 52109010611455403 * c111561(5963099567......)

n=122779: c120633(2617944127......) = 26837533167595277 * c120616(9754786744......)

n=122801: c102926(1166551659......) = 2547897076328969 * c102910(4578488159......)

n=122913: c70178(3747766837......) = 35363260532071081 * c70162(1059791088......)

n=122959: c119920(9000000000......) = 2323849027725881 * c119905(3872884982......)

n=122977: c118980(9000000000......) = 1580749401188843 * c118965(5693502077......)

n=122983: c105400(1400322490......) = 3176657089818997 * c105384(4408163835......)

n=123027: c78409(1109999999......) = 68328433618208521 * c78392(1624506726......)

n=123033: c82020(9009009009......) = 148970217137804437 * c82003(6047523580......)

n=123051: c82025(2652667270......) = 19567922906396107 * c82009(1355620258......)

n=123067: c105480(9000000900......) = 33399347133557203 * c105464(2694663720......)

n=123085: c97105(1111099999......) = 1771878421060271 * c97089(6270746270......)

n=123107: c122375(6932034529......) = 6036766172033959 * c122360(1148302639......)

n=123123: c57601(1109999888......) = 155000180666739409 * c57583(7161281259......)

n=123141: c82092(9009009009......) = 2989729960183957 * c82077(3013318637......)

n=123151: c103681(1111110999......) = 9102956284681001 * c103665(1220604565......)

n=123165: c50689(1001000999......) = 8166564711038791 * c50673(1225730812......)

n=123173: c119798(1532112166......) = 7504374595650683 * c119782(2041625383......)

n=123187: c120520(9000000000......) = 62408509951945681 * c120504(1442111020......)

n=123189: c74626(1832629809......) = 1180911567568987 * x74611(1551877261......)

n=123189: x74611(1551877261......) = 162878234837630467 * c74593(9527836933......)

n=123197: c122487(1186900519......) = 14863585864054093 * c122470(7985290561......)

n=123201: c75811(4058392146......) = 4385088949711159 * c75795(9254982493......)

n=123233: c105271(4823637878......) = 237979551695510923 * c105254(2026912751......)

n=123235: c84337(1000000100......) = 17869885584867191 * c84320(5596007289......)

n=123247: c119842(2041727540......) = 9113992245983323 * c119826(2240212066......)

n=123253: c107563(2253715644......) = 2536686986384123 * c107547(8884484592......)

n=123261: c81349(3044095746......) = 3195933832063507 * c81333(9524902285......)

n=123275: c98586(2782131916......) = 3554614649765551 * c98570(7826817222......)

n=123279: c72554(2121702401......) = 3785396887390717 * c72538(5604966836......)

n=123287: c115201(1111111111......) = 52782557197748813 * c115184(2105072527......)

n=123295: c98632(9000090000......) = 12769980949273841 * c98616(7047849199......)

n=123297: c80907(7939868749......) = 16560025741662001 * c80891(4794599279......)

n=123331: c111062(2843645074......) = 13292600169630653 * x111046(2139269246......)

n=123331: x111046(2139269246......) = 1613979764670001 * c111031(1325462247......)

n=123339: c82207(3014961082......) = 168187009941869431 * c82190(1792624224......)

n=123345: c65752(1100251713......) = 2664864071193151 * c65736(4128734839......)

n=123357: c75889(1109999999......) = 1257238757264569 * c75873(8828871951......)

n=123381: c82223(8901775929......) = 166013987458071763 * c82206(5362063802......)

n=123409: c103441(1111111111......) = 3242487172337557 * c103425(3426724770......)

n=123425: c98684(9248654933......) = 5056634207244751 * c98669(1829014034......)

n=123455: c98733(2266048886......) = 119217460015097281 * c98716(1900769304......)

n=123459: c70531(4495400876......) = 81798132219864439 * c70514(5495725580......)

n=123473: c102218(1382504022......) = 21394589066929667 * c102201(6461933051......)

n=123483: c82314(6079786238......) = 29537542310948449 * c82298(2058325020......)

n=123487: c91872(9000000900......) = 130660653895026529 * x91855(6888072753......)

n=123487: x91855(6888072753......) = 42564112238378641 * c91839(1618281785......)

n=123505: c92929(1111099999......) = 1251214040952121 * x92913(8880175282......)

n=123505: x92913(8880175282......) = 1764519803917631 * c92898(5032629989......)

n=123577: c122740(9000000000......) = 23410445634045521 * c122724(3844437709......)

n=123599: c105926(5294948399......) = 2650885765921037 * c105911(1997426093......)

n=123603: c82370(2796336427......) = 148164775809231079 * c82353(1887315262......)

n=123609: c82404(9009009009......) = 38292214012837003 * c82388(2352699952......)

n=123625: c92401(1000000000......) = 109311264412696751 * c92383(9148188024......)

n=123633: c77761(1000000001......) = 197476217192903203 * c77743(5063900935......)

n=123647: c121549(1883809982......) = 35569126010873849 * c121532(5296194182......)

n=123687: c82296(9999999999......) = 7980195078361351 * c82281(1253102198......)

n=123759: c82490(1337390314......) = 237343345899363757 * c82472(5634833828......)

n=123767: c106059(3187532637......) = 5517384115334197 * c106043(5777253443......)

n=123801: c79627(4482982839......) = 15662291690777449 * c79611(2862277710......)

n=123813: c82528(1653405657......) = 37968658405894837 * c82511(4354659149......)

n=123871: c112586(2117762368......) = 19854152436828271 * c112570(1066659670......)

n=123873: c81745(1109999999......) = 148290661569520111 * c81727(7485299399......)

n=123877: c114183(2263493592......) = 3355587298184239 * x114167(6745446897......)

n=123877: x114167(6745446897......) = 45627464232243479 * c114151(1478374266......)

n=123885: c66049(1001000999......) = 52312341818347921 * c66032(1913508294......)

n=123889: c123105(4960207877......) = 3570169001481311 * c123090(1389348200......)

n=123933: c81649(1109999999......) = 6233874569171191 * c81633(1780594055......)

n=123937: c106561(1111111111......) = 1198130069092199 * c106545(9273710257......)

n=123939: c80587(4038264637......) = 8605693021960009 * c80571(4692550183......)

n=123943: c120880(9000000000......) = 3155776251224081 * c120865(2851913216......)

n=123993: c78937(1001000999......) = 51479252966460439 * c78920(1944474603......)

n=124007: c114412(4024828799......) = 8825196595163573 * c114396(4560610923......)

n=124031: c120000(9000000000......) = 11448345694400831 * c119984(7861397830......)

n=124047: c64074(2876213144......) = 3660351173823961 * c64058(7857751914......)

n=124055: c96769(1111099999......) = 9229624685772121 * c96753(1203840933......)

n=124059: c76283(1077265507......) = 39799678276181071 * c76266(2706719134......)

n=124069: c112768(1680429113......) = 6450408578994271 * c112752(2605151430......)

n=124071: c82698(1528848621......) = 3416619001627483 * c82682(4474741319......)

n=124091: c108641(1111111111......) = 1237467300947879 * c108625(8978912899......)

n=124101: c82723(4024931209......) = 1631131231705471 * c82708(2467570439......)

n=124103: c106353(6031756462......) = 165251184042752837 * x106336(3650053400......)

n=124103: x106336(3650053400......) = 3760132142563679 * c106320(9707247675......)

n=124111: c114542(2928603293......) = 105540630832541477 * c114525(2774858621......)

n=124175: c99304(2464994460......) = 5296361950798801 * c99288(4654127651......)

n=124201: c96698(2661063306......) = 5580737895106837 * c96682(4768300101......)

n=124243: c106488(9000000900......) = 5971862345064883 * c106473(1507067708......)

n=124253: c116917(4190275956......) = 6378804188601293 * c116901(6569061899......)

n=124257: c69100(1340950825......) = 12118844862057991 * c69084(1106500528......)

n=124295: c99432(9000090000......) = 7945146064037671 * c99417(1132778419......)

n=124299: c70967(2076418710......) = 18943083883380511 * c70951(1096135520......)

n=124311: c75313(1534229849......) = 193288000061908027 * c75295(7937532848......)

n=124333: c110881(1111111111......) = 46540574467299397 * c110864(2387403086......)

n=124361: c118914(7776794918......) = 85802674721661827 * c118897(9063580994......)

n=124375: c98991(1047665094......) = 110572622841190001 * c98973(9474904980......)

n=124399: c110014(5704103128......) = 1513108024069643 * c109999(3769792399......)

n=124403: c120360(9000000000......) = 1465968963250333 * c120345(6139284136......)

n=124411: c106589(5824545791......) = 1667271920608757 * c106574(3493458817......)

n=124423: c107893(8538843395......) = 2897191676909843 * c107878(2947282868......)

n=124435: c96961(1111099999......) = 75817749129033871 * c96944(1465487979......)

n=124441: c123172(9000000000......) = 1045445703502147 * c123157(8608768461......)

n=124449: c76561(1109999999......) = 1788036581296759 * c76545(6207926681......)

n=124453: c101877(4382035413......) = 29098631777585441 * c101861(1505924899......)

n=124463: c122640(9000000000......) = 130723638396989969 * x122623(6884753293......)

n=124463: x122623(6884753293......) = 1728071062746671 * c122608(3984068388......)

n=124481: c106642(1503963193......) = 38836881085044799 * c106625(3872512805......)

n=124509: c64674(2677181923......) = 2443785222841117 * c64659(1095506224......)

n=124531: c113194(3285051591......) = 24630158672668121 * c113178(1333751696......)

n=124547: c123809(2076490671......) = 4881525656426213 * c123793(4253773958......)

n=124551: c71059(1003603942......) = 122536867628930077 * c71041(8190220316......)

n=124557: c83022(1334294836......) = 170544281212538671 * c83004(7823744233......)

n=124565: c85376(6061952210......) = 3787462730581951 * c85361(1600531184......)

n=124593: c66798(2522504736......) = 11110000306927999 * x66782(2270481248......)

n=124593: x66782(2270481248......) = 212937528632580361 * c66765(1066266365......)

n=124609: c124257(1000000000......) = 1406138929803631 * c124241(7111672814......)

n=124611: c81793(1109999999......) = 1833275637602911 * c81777(6054735999......)

n=124617: c83044(2539233018......) = 3630419037097477 * c83028(6994324877......)

n=124623: c81321(4186333966......) = 6056043220930231 * c81305(6912655365......)

n=124655: c98340(8939115198......) = 77551117049562041 * c98324(1152673944......)

n=124657: c111879(4046004135......) = 2239332671868163 * c111864(1806790114......)

n=124661: c117297(9787147856......) = 135848424019673483 * c117280(7204461831......)

n=124667: c122484(2539826047......) = 1243581912888439 * c122469(2042347207......)

n=124685: c90609(1070266702......) = 1083756308429521 * c90593(9875529160......)

n=124705: c85345(1000000100......) = 216988933173992071 * c85327(4608530423......)

n=124713: c79915(4009189065......) = 2216078296533037 * c79900(1809136920......)

n=124727: c121320(9000000000......) = 15598842557018191 * c121304(5769658849......)

n=124785: c64004(6404526095......) = 5135120885161081 * c63989(1247200647......)

n=124817: c97175(3526403611......) = 1693455158500799 * c97160(2082372003......)

n=124835: c99859(3604779890......) = 1747494054989281 * c99844(2062828128......)

n=124857: c83232(9990000009......) = 34970503312885843 * c83216(2856693231......)

n=124933: c117568(9000000000......) = 29921698783707427 * c117552(3007850612......)

n=124935: c66610(6898810964......) = 2636514555396751 * c66595(2616640575......)

n=124941: c83292(9009009009......) = 11147688836169841 * c83276(8081503835......)

n=124969: c115344(9000000000......) = 11594969707948511 * c115328(7761986643......)

n=124973: c122263(3600763361......) = 158153872063213121 * x122246(2276746888......)

n=124973: x122246(2276746888......) = 19003379353746373 * c122230(1198074745......)

n=124985: c85669(2017406210......) = 3054453119386271 * c85653(6604803321......)

# CTD

January 20, 2026 2026 年 1 月 20 日 (Makoto Kamada)

n=298113: c198722(7329064990......) = 1006959172197271 * c198707(7278413259......)

n=298145: c238512(9000090000......) = 6949719625888751 * c238497(1295029222......)

n=298167: c188281(1109999999......) = 1479296116000201 * c188265(7503568676......)

n=298005: c158929(1109988900......) = 4940347115599351 * c158913(2246783219......)

n=298059: c195825(4066680128......) = 3431128832176237 * c195810(1185230962......)

n=298065: c153600(9009099100......) = 3178471969977751 * c153585(2834412002......)

n=298073: c296863(1509694756......) = 3851875694870773 * c296847(3919375587......)

n=298079: c296179(1509664368......) = 1180189188850253 * c296164(1279171494......)

n=297908: c129024(9900990099......) = 4144974085215289 * c129009(2388673582......)

n=297930: c79440(9100090999......) = 1641656828654611 * c79425(5543235858......)

n=148983: c97332(4386222354......) = 7050040949603893 * c97316(6221555854......)

n=297980L: c58118(1919293295......) = 1892659029218401 * c58103(1014072406......)

n=148993: c134785(1111111111......) = 4437051937366049 * c134769(2504165213......)

n=148903: c132481(1111111111......) = 1497710104428653 * c132465(7418732823......)

n=297830: c104833(1099989000......) = 5280519416538731 * c104817(2083107575......)

n=297848: c143994(5596251781......) = 1084068754814321 * c143979(5162266467......)

n=297731: c255192(9000000900......) = 6851056115304871 * c255177(1313666206......)

n=297763: c295352(5004202056......) = 6603655336859197 * c295336(7577927376......)

n=297778: c137275(3358195171......) = 1157272164741967 * c137260(2901819704......)

n=148889: c137269(1650694767......) = 1703992343155129 * c137253(9687219395......)

n=148897: c125651(7302212174......) = 1982802687453323 * c125636(3682772986......)

January 17, 2026 2026 年 1 月 17 日 (Makoto Kamada)

n=299009: c296004(9000000000......) = 3554625950537449 * c295989(2531911971......)

n=149517: c96769(1001000999......) = 1041581286040717 * c96753(9610397320......)

n=299041: c283276(2483185434......) = 1785103121064083 * c283261(1391059936......)

n=299048: c144257(1000099999......) = 5256866578356793 * c144241(1902464110......)

n=299051: c295863(5852820134......) = 1406703777549173 * c295848(4160662840......)

n=298911: c187509(1956440156......) = 1219653086896639 * c187494(1604095605......)

n=298921: c256212(9000000900......) = 1026808350880831 * c256197(8765025033......)

n=298924: c149460(9900990099......) = 4666489594285489 * c149445(2121721242......)

n=298931: c278074(4646183594......) = 2290349694831293 * c278059(2028591356......)

n=149475: c79681(1000010000......) = 2338195729845601 * c79665(4276844694......)

n=149477: c139393(1111111111......) = 4577304902692493 * c139377(2427435215......)

n=298961: c262064(1783896643......) = 3448967677049077 * c262048(5172262575......)

n=298980M: c35986(3393430319......) = 3603013480036081 * c35970(9418311471......)

n=298985: c239184(9000090000......) = 5125731704712161 * c239169(1755864434......)

n=298997: c290880(9000000000......) = 2468118607713683 * c290865(3646502227......)

n=298802: c128017(1000000099......) = 1108578052757491 * c128001(9020565557......)

n=298818: c91855(1170020334......) = 8458954665268771 * c91839(1383173667......)

n=298824: c99601(1000099999......) = 3069657096669817 * c99585(3258018627......)

n=298840: c115200(9999000099......) = 3909835445517761 * c115185(2557396657......)

n=298855: c239062(1430575498......) = 2249328616665961 * c239046(6360011105......)

n=149431: c139386(1616437409......) = 1178452717155667 * c139371(1371660811......)

n=298865: c204899(8412419969......) = 3377579803378831 * c204884(2490665049......)

n=298868: c149432(9900990099......) = 5884000799470489 * c149417(1682696932......)

n=298876: c149428(7444363477......) = 1983613163968921 * c149413(3752931071......)

n=298899: c199260(9990000009......) = 3634636364662951 * c199245(2748555565......)

n=298890: c77750(2754194184......) = 9261059238872641 * c77734(2973951589......)

n=298704: c84646(5330954013......) = 2130176170261441 * c84631(2502588324......)

n=149355: c79633(1001000999......) = 4386553077631951 * c79617(2281976263......)

n=298712: c149344(1076325212......) = 5833712640466129 * c149328(1845008965......)

n=298716: c86381(6986111497......) = 9897497417808529 * c86365(7058462561......)

n=298737: c188560(4927612873......) = 1103223934913761 * c188545(4466557257......)

n=298752: c99322(3347256805......) = 4739873762135041 * c99306(7061911295......)

n=298760: c92155(1673748705......) = 9309450892791281 * c92139(1797902716......)

n=298796: c149396(9900990099......) = 5813476733368169 * c149381(1703109955......)

n=298624: c149229(2814682514......) = 1209417824102273 * c149214(2327303648......)

n=298628: c135521(1000000000......) = 2034617184112921 * c135505(4914929490......)

n=298629: c199066(2788406896......) = 3200754235814911 * c199050(8711718210......)

n=149313: c97964(6960881260......) = 8044800353495431 * c97948(8652646373......)

n=298640: c119425(1000000009......) = 2562505910372801 * c119409(3902430062......)

n=298658: c146741(1099999999......) = 2125769188036691 * c146725(5174597534......)

n=298689: c199111(7889113147......) = 7405910620890631 * c199096(1065245525......)

n=298690: c95995(3682698474......) = 6792308600487691 * c95979(5421865659......)

n=298700L: c57090(6404356623......) = 1547105074180201 * c57075(4139574441......)

n=298509: c188465(2991097266......) = 5842226745223237 * c188449(5119789759......)

n=298519: c275526(3298348491......) = 1148450293948049 * c275511(2871999344......)

n=298521: c193913(6448463589......) = 2046648536078239 * c193898(3150743019......)

n=298523: c296199(2714607488......) = 9072958587094361 * c296183(2991976059......)

n=298536: c85242(3044858014......) = 2427315913099897 * c85227(1254413567......)

n=298540M: c51041(2824089240......) = 4260584330092421 * c51025(6628408269......)

n=298548: c99505(1000000999......) = 2423183806067509 * c99489(4126806218......)

n=298554: c93622(2600748146......) = 5033683929597979 * c93606(5166689412......)

n=149289: c85278(2745530009......) = 1184679619630123 * c85263(2317529536......)

n=149293: c142768(4065156946......) = 1193891164472401 * c142753(3404964428......)

n=298590: c77175(3233975636......) = 5182029284879731 * c77159(6240751371......)

n=298592: c120960(9999999999......) = 7627884095922049 * c120945(1310979542......)

n=298415: c220295(1758547626......) = 2231277390965351 * c220279(7881349192......)

n=298449: c198934(2538886042......) = 1192435714822249 * c198919(2129159677......)

n=298454: c137571(1992986148......) = 1131626207052797 * c137556(1761170018......)

n=149227: c137592(9999999999......) = 3778595175660631 * c137577(2646486203......)

n=298455: c156791(2987508623......) = 3187422764515831 * c156775(9372803182......)

n=149233: c127857(4737047552......) = 1498103611665277 * c127842(3162029325......)

n=298301: c296604(9000000000......) = 9175399624576111 * c296588(9808837073......)

n=298312: c127681(1000000000......) = 4621972740264881 * c127665(2163578316......)

n=298315: c238640(6157092499......) = 1138039390040521 * c238625(5410263083......)

n=298347: c170473(1109999889......) = 2210014097524969 * x170457(5022591893......)

n=298347: x170457(5022591893......) = 7853534296687843 * x170441(6395326872......)

n=298347: x170441(6395326872......) = 9957473074922437 * c170425(6422640387......)

n=298359: c198886(5195572248......) = 9102813853212523 * c198870(5707655162......)

n=149193: c89749(3775903617......) = 7548892056506197 * c89733(5001930864......)

n=298251: c192227(7025736119......) = 4841490348146197 * c192212(1451151528......)

n=298255: c238600(9000090000......) = 7309763323873721 * c238585(1231242326......)

n=298260L: c39722(1321271317......) = 3145723520194621 * c39706(4200214383......)

n=149149: c106551(6675038518......) = 1185511619972681 * c106536(5630512941......)

January 13, 2026 2026 年 1 月 13 日 (Makoto Kamada)

n=299607: c155509(6033118377......) = 1869603513562093 * c155494(3226950705......)

n=149807: c128392(6297411430......) = 1707531832129523 * c128377(3688019931......)

n=299642: c120750(4846215906......) = 2636040460227091 * c120735(1838445190......)

n=299648: c149751(3020408216......) = 3971017923037057 * c149735(7606130907......)

n=149825: c110395(1112418808......) = 2103869514221801 * c110379(5287489555......)

n=299658: c99885(1098901098......) = 1276081554839167 * c99869(8611527176......)

n=299661: c196265(3086821355......) = 4461990853973413 * c196249(6918036044......)

n=299677: c248401(1111110999......) = 4459988161172867 * c248385(2491286882......)

n=299685: c159800(6479236033......) = 3315024494624551 * c159785(1954506231......)

n=149845: c114557(2916350301......) = 5428800068780681 * c114541(5371997982......)

n=299695: c217896(2162844018......) = 1711071368393201 * c217881(1264029109......)

n=299696: c149832(2934665342......) = 9811208519662513 * c149816(2991135430......)

n=299504: c149724(1317777686......) = 1583732739450353 * c149708(8320707490......)

n=299510: c117600(9091000000......) = 8490654485969441 * c117585(1070706623......)

n=299516: c121392(9900990099......) = 1247583676055669 * c121377(7936133093......)

n=149757: c99827(7523451123......) = 8720739960118027 * c99811(8627078846......)

n=299558: c128351(6332077838......) = 8243049039901411 * c128335(7681718023......)

n=299402: c141785(5801356553......) = 1178797484019091 * c141770(4921419185......)

n=299403: c184033(1000000001......) = 3010679333761321 * c184017(3321509500......)

n=299408: c149685(1697317711......) = 6768104910664337 * c149669(2507818264......)

n=299424: c99777(1000000000......) = 3114848823491233 * x99761(3210428681......)

n=299424: x99761(3210428681......) = 7885285847636257 * c99745(4071416994......)

n=299440: c112885(2223534945......) = 1119112203177121 * c112870(1986874005......)

n=149735: c119784(9000090000......) = 1677235153560191 * c119769(5366027525......)

n=149733: c98274(1193792665......) = 8587316340144757 * c98258(1390181307......)

n=299480: c119777(1000099999......) = 1281403681494481 * c119761(7804722387......)

n=299491: c289791(3928233528......) = 2410473834623321 * c289776(1629652009......)

n=299495: c199577(4553164718......) = 2584367105266801 * c199562(1761810351......)

n=149747: c138204(2787168031......) = 7393375610364719 * c138188(3769817980......)

n=299305: c231601(1111099999......) = 9963504139734991 * c231585(1115169908......)

n=299337: c197569(1109999999......) = 4910362132069279 * c197553(2260525741......)

n=149693: c148160(5222583617......) = 3004436925962237 * c148145(1738290317......)

n=299392: c149627(3340091451......) = 2480101890965249 * c149612(1346755737......)

n=149699: c131401(1111111111......) = 5185787291547523 * c131385(2142608342......)

n=299400: c79680(9999999999......) = 6104270653478401 * c79665(1638197348......)

n=299225: c239360(9999900000......) = 5128037117417351 * c239345(1950044387......)

n=299241: c199468(8568687243......) = 3426449685105277 * c199453(2500748013......)

n=299243: c246961(1000000100......) = 6343238614650911 * c246945(1576481921......)

n=299248: c146625(1000000009......) = 2326941542505137 * c146609(4297486600......)

n=299253: c190758(1512259987......) = 8111608876569511 * c190742(1864315711......)

n=299254: c149607(4083949403......) = 5260780794767357 * c149591(7763010022......)

n=299272: c149632(9999000099......) = 3605801287036001 * c149617(2773031374......)

n=149641: c148470(1984419933......) = 1274472337025387 * c148455(1557052182......)

n=149645: c119011(2067386569......) = 4919474224845721 * c118995(4202454317......)

n=149649: c98393(2649055870......) = 1002985046165761 * c98378(2641171850......)

n=299296: c145729(1000000000......) = 9124801447546241 * c145713(1095914257......)

n=299105: c237147(2344361478......) = 1170295276172471 * c237132(2003222200......)

n=299102: c149536(3844282144......) = 1600471095474583 * c149521(2401969117......)

n=299109: c197924(1169806022......) = 7158429502092289 * c197908(1634165736......)

n=299118: c99705(1098901098......) = 2059224921131641 * c99689(5336479214......)

n=299120: c119617(1000000009......) = 1120337676505441 * c119601(8925880392......)

n=299131: c253785(1521082053......) = 2426344011366031 * x253769(6269028820......)

n=299131: x253769(6269028820......) = 5318460186134453 * c253754(1178730046......)

n=149567: c135952(1813553384......) = 9343777922076401 * c135936(1940920899......)

n=299154: c98208(9100000000......) = 5108404093499761 * c98193(1781378260......)

n=299156: c125251(4385503292......) = 6515934437740729 * c125235(6730428818......)

n=299182: c133893(5766124979......) = 9209172752690093 * x133877(6261284411......)

n=299182: x133877(6261284411......) = 9626381683397051 * c133861(6504296855......)

January 9, 2026 2026 年 1 月 9 日 (Kurt Beschorner)

n=1870: c600(2934299690......) = 5128668766272866468095639305104398433189744851 * c554(5721367130......)

# ECM B1=30e6, sigma=6613595492840788

n=6059: c5900(7426355309......) = 604754479626970633385807908885721925751 * x5862(1227995088......)

# ECM B1=1e6, sigma=3737768319609425

n=10062: c2954(9224106518......) = 24789562461695963248181535390536428093 * x2917(3720963826......)

# ECM B1=3e6, sigma=7961458325696619

n=10092: c3160(1587506275......) = 118467369849811516102081067316529174789 * x3122(1340036735......)

# ECM B1=3e6, sigma=8486153667115848

n=10100M: c1945(2835928739......) = 283150057168781592245569347545404764475501 * x1904(1001563894......)

January 9, 2026 2026 年 1 月 9 日 (Makoto Kamada)

n=149853: c85670(1340624758......) = 2317852526075197 * c85654(5783908782......)

n=149859: c99894(4761616513......) = 1265458898024317 * c99879(3762758728......)

n=299741: c276664(1501296116......) = 7757171211560317 * c276648(1935365451......)

n=299754: c77755(1112021734......) = 1308350857539727 * c77739(8499415336......)

n=299769: c199833(8871837168......) = 1042292016696001 * c199818(8511853709......)

n=299791: c298561(3265284662......) = 1031447232138761 * c298546(3165731179......)

n=299794: c136246(7694860782......) = 6467124984327503 * c136231(1189842596......)

January 7, 2026 2026 年 1 月 7 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse and Kurt Beschorner)

n=2100L: c215(6202221911......) = 193751542953818383623751007971508697187648569310897340384149680038864694209730259117193071430058513601 * p114(3201121300......)

# SNFS

Largest known factors that appear after the previous one
  1  n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017)
  2  n=730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371 (NFS@Home / Jul 26, 2024)
  3  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  4  n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020)
  5  n=1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901 (NFS@Home / Mar 17, 2024)
  6  n=1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761 (NFS@Home / Mar 13, 2024)
  7  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  8  n=2100L: 193751542953818383623751007971508697187648569310897340384149680038864694209730259117193071430058513601 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse and Kurt Beschorner / Jan 7, 2026)
  9  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  10  n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017)
  11  n=2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 (George Bradshaw / Feb 19, 2023)
  12  n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018)
  13  n=6500M: 838674682608274595889194955806891326867784389251001 (Kurt Beschorner / Aug 5, 2025)
  14  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  15  n=14751: 57981820456749752814001725860268405361538431 (Kurt Beschorner / Apr 25, 2025)
  16  n=18456: 9886770903035092853593001371393030769919121 (Torbjörn Granlund / Nov 18, 2024)
  17  n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018)
  18  n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018)
  19  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  20  n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017)
  21  n=253620L: 1221015147166230558535777472152845661 (Alfred Reich / Oct 23, 2023)
  22  n=268140L: 60348364918187687874129722715181 (Alfred Reich / Oct 23, 2023)
  23  n=283706: 526153303629299051259344033783 (Alfred Reich / Oct 23, 2023)
  24  n=295980M: 98690902056965040529354491601 (Alfred Reich / Oct 23, 2023)
  25  n=298740L: 66173162995033300571567659861 (Alfred Reich / Oct 23, 2023)
  26  n=299420L: 33569847171752615806052144021 (Alfred Reich / Oct 23, 2023)
  27  n=299996: 38693214591429090355181 (Alfred Reich / Oct 23, 2023)
  28  n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021)
  29  n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019)

January 2, 2026 2026 年 1 月 2 日 (John)

# via Kurt Beschorner

n=7283: c7283(1111111111......) = 314692671239067813832517110680262983757 * c7244(3530781656......)

# ECM B1=3e6, sigma=73395840219749

n=7477: c7477(1111111111......) = 1074073393308214830438311650689898276747 * c7438(1034483414......)

# ECM B1=3e6, sigma=8542930431401004

n=14659: c14416(9000000000......) = 29247967807756474051929772534601 * c14385(3077136866......)

# ECM B1=1e6, sigma=866437075847994

January 1, 2026 2026 年 1 月 1 日 (Makoto Kamada)

n=299831: c246952(1027483826......) = 3653976632540893 * c246936(2811960582......)

n=299840: c119781(2043883534......) = 6491031667920641 * c119765(3148780717......)

n=299854: c149137(1099999999......) = 2049597950924969 * c149121(5366906224......)

n=299862: c99750(1579319506......) = 1875088124311573 * c99734(8422641507......)

January 1, 2026 2026 年 1 月 1 日 (Makoto Kamada)

# 0 factors are unidentified.

December 31, 2025 2025 年 12 月 31 日 (Kurt Beschorner)

n=10019: c9705(3819048788......) = 92737573618781078807405607396441881 * c9670(4118124552......)

# ECM B1=1e6, sigma=285315050378714

n=10026: c3322(1602941205......) = 9180588964796985741580659514205863 * c3288(1746011297......)

# ECM B1=2e6, sigma=3725749690948259

n=10052: c4297(1009999999......) = 2542173255124202292496079056095920629 * c4260(3972978623......)

# ECM B1=2e6, sigma=1191876174981516

n=10077: c6703(3086485639......) = 79959108219645603435640821367094959 * c6668(3860080119......)

# ECM B1=1e6, sigma=3980675226921496

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