Changes of Phin10.txt <November 2023> Phin10.txt の更新履歴 <2023 年 11 月> - Repunit レピュニット - Factorization 素因数分解 - STUDIO KAMADA

November 30, 2023 2023 年 11 月 30 日 (-)

# via factordb.com

n=125092: c56825(1667307962......) = 9165586966947401 * c56809(1819095677......)

n=125272: c53657(2327529992......) = 508773849470153 * c53642(4574783069......)

n=125362: c59336(2640967602......) = 2289208921678423 * c59321(1153659492......)

n=125732: c57779(2037260763......) = 206053770747389 * c57764(9887034611......)

n=125948: c58587(1294216965......) = 47296246448612461 * c58570(2736405237......)

n=126038: c53760(9090909091......) = 264449272842899 * c53746(3437675964......)

n=126686: c54270(4020532552......) = 2892772804333091 * c54255(1389854241......)

n=126982: c62923(6219903288......) = 181500164011807 * c62909(3426940864......)

n=127024: c59642(8747245798......) = 14093837277269089 * c59626(6206433085......)

n=127224: c38875(2620043859......) = 946495710984457 * c38860(2768151856......)

n=127312: c62194(3739680905......) = 101399538202993 * c62180(3688065026......)

n=127366: c62161(1099999999......) = 481588310808019 * c62146(2284108595......)

n=127372: c54577(1009999999......) = 323406520516010821 * c54559(3123004441......)

n=127432: c59905(1000099999......) = 23614619758899353 * c59888(4235088306......)

n=127718: c60464(4923300685......) = 15289441403873851 * c60448(3220065766......)

n=127830: c34080(9100090999......) = 371221550533949131 * c34063(2451390816......)

n=128098: c60655(8587108408......) = 1794733635752819 * c60640(4784614405......)

n=128656: c53740(5000812316......) = 3277910455600177 * c53725(1525609800......)

n=128836: c62281(1009999999......) = 125125511991269 * c62266(8071895043......)

n=129068: c62873(1358564631......) = 378327511827865321 * c62855(3590974986......)

n=129070: c51617(2484671064......) = 38929873759515881 * c51600(6382427745......)

n=129098: c60723(2894790407......) = 420521065213859 * c60708(6883817831......)

n=129106: c64515(1055935717......) = 3049884279885997 * c64499(3462215678......)

n=129236: c64596(1107611935......) = 31679250157157101 * c64579(3496332551......)

n=129302: c60833(1099999999......) = 3548410243575287 * c60817(3099979778......)

n=129364: c64672(5235013615......) = 58273692902676701 * c64655(8983493846......)

n=129370: c48640(9091000000......) = 186084885409229561 * c48623(4885404840......)

n=129392: c64688(9999999900......) = 5469819936100657 * c64673(1828213728......)

n=10794: c3032(1053755656......) = 121574001366934564466811861061287599379103 * c2990(8667606928......)

n=129556: c55441(1000000000......) = 1228153865591689 * c55425(8142302263......)

# 212269 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212269 個の Φ_n(10) の素因数が見つかりました。

November 29, 2023 2023 年 11 月 29 日 (-)

# via factordb.com

n=120114: c40033(1000999998......) = 355881223444303 * c40018(2812736196......)

n=120232: c48379(8316352498......) = 2006641032610873 * c48364(4144414653......)

n=120310: c47008(9091000000......) = 932827247530317331 * c46990(9745641568......)

n=120594: c39573(6000378717......) = 23591132935669693 * c39557(2543489002......)

n=120916: c54432(9900990099......) = 334047673649637769 * c54415(2963945232......)

n=30235: c24184(9000090000......) = 137110981464955081 * c24167(6564091296......)

n=121648: c60791(5735622707......) = 2766837082080977 * c60776(2072988953......)

n=121782: c40582(4683644779......) = 50648952062042197 * c40565(9247268875......)

n=121966: c56275(9018832963......) = 120474749783352329 * c56258(7486077355......)

n=122400: c30714(1276552124......) = 3040356139790401 * c30698(4198692738......)

n=122452: c53241(1000000000......) = 3207789392377109 * c53225(3117411642......)

n=123292: c56874(1517024697......) = 636321557497977469 * c56856(2384053595......)

n=123448: c56929(1000099999......) = 1431716355771521 * c56913(6985322169......)

n=123596: c55121(1000000000......) = 17235708871660841 * c55104(5801908163......)

n=123604: c57017(6983979511......) = 761758299916381 * c57002(9168235531......)

n=123652: c58522(1551727171......) = 298937496596123641 * c58504(5190808074......)

n=123704: c51843(2669653088......) = 1803838795983841 * c51828(1479984295......)

n=123752: c59745(3232968589......) = 6084152965063249 * c59729(5313752970......)

n=123892: c60529(5622249098......) = 218994393193229 * c60515(2567302759......)

n=123896: c58234(1048323620......) = 66541859814087841 * c58217(1575434806......)

n=124228: c57305(1161458870......) = 284158653270181 * c57290(4087360555......)

n=124318: c61074(9831409207......) = 3307339126835011 * c61059(2972603906......)

n=124364: c62167(4974164226......) = 326523633374799449 * c62150(1523370353......)

n=24909: c15043(1003652290......) = 74044722414402839053 * c15023(1355467692......)

n=124738: c60985(3213429760......) = 135024024420049007 * c60968(2379894818......)

n=124998: c41000(9100000000......) = 47732285317340263 * c40984(1906466438......)

# 212259 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212259 個の Φ_n(10) の素因数が見つかりました。

November 27, 2023 2023 年 11 月 27 日 (Alfred Reich)

# via Kurt Beschorner

n=78260L: c12067(9740700583......) = 13264511628374074728924758690561 * c12036(7343429488......)

n=88460M: c17675(1542171911......) = 5569974727969095268563241 * c17650(2768723355......)

n=90460M: c18060(1642913306......) = 774793624385472011025672821 * c18033(2120452795......)

n=90700M: c18100(8184832310......) = 28158482269876113995501 * c18078(2906702226......)

n=97300M: c16540(5161852404......) = 123373959647848730434433401 * c16514(4183907543......)

n=97740M: c12948(1032220433......) = 119308578046112357566021 * c12924(8651686661......)

n=98300L: c19640(9900498007......) = 34245467532293014738750201 * c19615(2891038937......)

n=100140M: c13307(5674666686......) = 89751365468006201267230718101 * c13278(6322652203......)

n=106780M: c20155(3316133016......) = 83184946583885292486724441 * c20129(3986458070......)

n=111940M: c21483(6391989899......) = 6663678220223061812137061 * c21458(9592284753......)

n=114780L: c15266(2680348135......) = 526689290171761160761 * c15245(5089050006......)

n=120420M: c15984(9999000049......) = 47600756488405545251315941 * c15959(2100596878......)

n=122500L: c20982(2947614494......) = 14097226728784198578022501 * c20957(2090917987......)

n=124820L: c24618(1832601752......) = 533697512299771730441 * c24597(3433783576......)

n=127340L: c25433(5674524899......) = 9778804090342212349981 * c25411(5802882282......)

n=133620L: c16615(3258019071......) = 84421894969130376823148761 * c16589(3859211017......)

n=136940L: c26537(2574982658......) = 6879154615826839147261 * c26515(3743167295......)

n=137340M: c15538(6970932669......) = 1512059183265301584481 * c15517(4610224749......)

n=142420L: c28421(5044049468......) = 42903371150162762010361 * c28399(1175676720......)

n=143380L: c27957(9568275051......) = 22001201492080087017772081 * c27932(4348978420......)

n=144340M: c24697(3378795079......) = 4972916067149668864381 * c24675(6794393941......)

n=151620L: c16417(1000000001......) = 492458524782530972619241 * c16393(2030627861......)

n=153620M: c30687(2096579917......) = 128125869449428176311279761 * c30661(1636343953......)

n=155620L: c29972(5742115893......) = 49713248995637617067081 * c29950(1155047398......)

n=155980L: c28306(6425146379......) = 495166746731770259045681 * c28283(1297572266......)

n=160300L: c27343(7913486523......) = 84165173747213558750801 * c27320(9402328981......)

n=167380L: c33449(7917055145......) = 39319696049617345031401 * c33427(2013508734......)

n=168140M: c28759(1146141742......) = 2909429926717340048401 * c28737(3939403153......)

n=174900M: c20782(2622034016......) = 2801319611291669568224925901 * c20754(9359995932......)

n=184060M: c36794(1492746743......) = 714306402474757483337123041 * c36767(2089784913......)

n=184260L: c23611(6933742201......) = 2605844084547283287901 * c23590(2660843080......)

n=188940M: c24284(1352395515......) = 103408921903383144474599941 * c24258(1307813184......)

n=194660L: c38904(1799328292......) = 8185341639571448633617381 * c38879(2198232367......)

n=195420M: c26025(4657561783......) = 226287326815753653090885061 * c25999(2058251272......)

n=25060L: c4258(1457442212......) = 2416923235763580362746842309361 * c4227(6030155160......)

n=27500L: c4952(2541626525......) = 606612199670074079436285914257015001 * c4916(4189870442......)

n=27860L: c4710(1095414542......) = 227737556367319657134001 * c4686(4809986373......)

n=29260L: c4313(3147042275......) = 11541207882092210471618701 * c4288(2726787618......)

n=34580L: c5175(2478349245......) = 713968713907283354088661 * c5151(3471229477......)

n=44660M: c6682(2469486846......) = 327814813915108131286742761 * c6655(7533176482......)

n=48300M: c5213(3745933489......) = 669628295241354976646970901 * c5186(5594048991......)

n=50380M: c9116(1850012876......) = 149336301437695630582539601 * c9090(1238823285......)

n=50940M: c6748(1587782397......) = 159590811522096697376423590741 * c6718(9949084050......)

n=51780L: c6833(2199843991......) = 387122262842392717219515222241 * c6803(5682556140......)

n=52500M: c5978(5087084993......) = 508298170995058964362501 * c5955(1000807259......)

n=53700M: c7107(1099382707......) = 1131336566529624881019762601 * c7079(9717556563......)

n=54900L: c7180(1918049296......) = 2788061803362806095045801 * c7155(6879507815......)

n=54940L: c10560(3541000000......) = 3962487118129306080161 * c10538(8936306653......)

n=55540L: c11030(5878984302......) = 175238687457607247005686924881 * c11001(3354843834......)

n=57380M: c10752(3430799076......) = 72704627494582806151421 * c10729(4718818037......)

# 212251 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212251 個の Φ_n(10) の素因数が見つかりました。

November 26, 2023 2023 年 11 月 26 日 (Alfred Reich)

# via Kurt Beschorner

n=18060M: c1973(4501495668......) = 9081902859189146809647985077065085001 * c1936(4956555623......)

November 27, 2023 2023 年 11 月 27 日 (-)

# via factordb.com

n=110003: c107266(2089306883......) = 2255056790331559 * c107250(9264985662......)

n=110244: c36745(1009998990......) = 5382201581811889 * c36729(1876553627......)

n=110316: c35392(9901000000......) = 2462068533532369 * c35377(4021415271......)

n=110482: c53713(1099999999......) = 941886335505870571 * c53695(1167869156......)

n=110696: c54401(1000099999......) = 17505500163896153 * c54384(5713061555......)

n=110742: c36886(6037537408......) = 13599903294556441 * c36870(4439397308......)

n=110778: c35842(3575066575......) = 2632871467034881 * c35827(1357858376......)

n=110886: c36961(1098901098......) = 23336601179582731 * c36944(4708916651......)

n=111044: c49280(9900990099......) = 19860064659297649 * c49264(4985376567......)

n=111078: c31663(7539048228......) = 24724795553387623 * c31647(3049185265......)

n=111186: c35266(2851636936......) = 519148472599576333 * c35248(5492912119......)

n=111210: c26875(9881127855......) = 115927915382063401 * c26858(8523510341......)

n=111246: c37065(1772918779......) = 9304984966505677 * c37049(1905342981......)

n=111680: c44525(1539264468......) = 82102004438239361 * c44508(1874819596......)

n=111920: c44731(4467456855......) = 385109458433196961 * c44714(1160048593......)

n=112010: c42768(9091000000......) = 747863665267766681 * c42751(1215595892......)

n=112012: c54561(1009999999......) = 8090765906346941 * c54545(1248336698......)

n=112060M: c20588(1354954933......) = 8472341150558221 * c20572(1599268619......)

n=112154: c48061(1099999890......) = 731541663176397893 * c48043(1503673605......)

n=112376: c51028(1237416159......) = 3367154934381041 * c51012(3674960562......)

n=112658: c44479(1769620804......) = 28248216900413693 * c44462(6264539848......)

n=112752: c36289(1000000000......) = 109972850561125921 * c36271(9093153400......)

n=112818: c37591(3167692723......) = 5411438508139369 * c37575(5853698084......)

n=113058: c34200(9990010000......) = 61563523180487527 * c34184(1622715771......)

n=113298: c36052(8752055860......) = 541101613251379 * c36038(1617451444......)

n=113446: c56144(8271072261......) = 497816207085955139 * c56127(1661471069......)

n=113568: c29944(1344525462......) = 417864611421374209 * c29926(3217610263......)

n=113598: c37847(4382204195......) = 46543718291991463 * c37830(9415243035......)

n=113750: c36000(9999999999......) = 97778804172936251 * c35984(1022716537......)

n=113792: c48385(1000000000......) = 41399712409464193 * c48368(2415475716......)

n=113928: c36775(1332187585......) = 28945039031754457 * c36758(4602472929......)

n=114016: c48761(1838720898......) = 1014890798778977 * c48746(1811742604......)

n=22835: c18230(2014170627......) = 223556022453101081 * c18212(9009690751......)

n=114366: c32579(1104517492......) = 21947277413382133 * c32562(5032594575......)

n=114434: c55208(3142375847......) = 199059960111982807 * c55191(1578607694......)

n=114630: c30550(4956120588......) = 1541110726190611 * c30535(3215940622......)

n=114670: c45856(5999154733......) = 18823391294687801 * c45840(3187074336......)

n=114716: c46080(9900990099......) = 72658455512322569 * c46064(1362675552......)

n=114842: c45360(9090910000......) = 18479435072694779 * c45344(4919473979......)

n=115028: c56833(1009999999......) = 45009625813294421 * c56816(2243964444......)

n=115552: c54900(1649625825......) = 335434372393697 * c54885(4917879504......)

n=115736: c50688(9999000099......) = 258832895302517009 * c50671(3863110246......)

n=115914: c38637(1098901098......) = 915714484762078567 * c38619(1200047741......)

n=19353: c12867(1303265609......) = 1334029206191107 * c12851(9769393381......)

n=116156: c57121(1009999999......) = 218769844160042789 * c57103(4616724045......)

n=116200: c39342(2825146175......) = 87554650861106801 * c39325(3226723135......)

n=29085: c13237(9508725617......) = 1001714137670631165115441 * c13213(9492454243......)

n=116464: c55986(2063398973......) = 23984383138376273 * c55969(8603093777......)

n=117092: c57591(2203805833......) = 153934115949118621 * c57574(1431655237......)

n=117228: c39059(3812714613......) = 19911735723247309 * c39043(1914807763......)

n=117444: c39145(1009998990......) = 770024069211272761 * c39127(1311645999......)

n=117504: c36850(4129645613......) = 32161590117179137 * c36834(1284030297......)

n=117558: c33463(1409013687......) = 26919670192511167 * c33446(5234141717......)

n=118266: c37655(9239336127......) = 2220226858813807 * c37640(4161437868......)

n=118422: c36275(1460010212......) = 3183462875591371 * c36259(4586232884......)

n=118792: c57347(7670013666......) = 2306867507249497 * c57332(3324860939......)

n=118908: c39518(2586528025......) = 98254533714724081 * c39501(2632477024......)

n=118918: c57817(1099999999......) = 168969991329353521 * c57799(6510031700......)

n=119208: c39707(3023612416......) = 317017161533548129 * c39689(9537693171......)

n=119252: c51091(1693889085......) = 773378636149020581 * c51073(2190245510......)

n=119546: c51210(4802949336......) = 82050902937619813 * c51193(5853621550......)

n=119926: c58921(1099999999......) = 32720187513035663 * c58904(3361838924......)

# 212250 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212250 個の Φ_n(10) の素因数が見つかりました。

November 26, 2023 2023 年 11 月 26 日 (Alfred Reich)

# via Kurt Beschorner

n=215820M: c25920(9048981950......) = 1169678159129990473921 * c25899(7736300690......)

# ECM B1=25e4, sigma=3752966674403084

n=203100M: c27028(2819338289......) = 19444015037793666870250501 * c27003(1449977426......)

# ECM B1=25e4, sigma=5794830826674561

n=211620L: c28209(2529932837......) = 1238588567573750838564841 * c28185(2042593402......)

# ECM B1=25e4, sigma=6788603564259891

n=211500L: c27601(1000000000......) = 1794315869587094372137071001 * c27573(5573154743......)

# ECM B1=25e4, sigma=8433876091436271

n=208180M: c35665(2798897498......) = 83339350681403396074129321 * c35639(3358434491......)

# ECM B1=25e4, sigma=4358981967429571

November 26, 2023 2023 年 11 月 26 日 (-)

# via factordb.com

n=105036: c34995(1436032337......) = 256562352014021701 * c34977(5597206005......)

n=52580L: c9521(2796127961......) = 936584695272248590972957961 * c9494(2985451262......)

n=52594: c26269(2132839436......) = 1453145637210858035099 * c26248(1467739627......)

n=105366: c33007(4213192285......) = 1618774410308329 * c32992(2602705020......)

n=105462: c29160(9999999999......) = 376188752003989933 * c29143(2658240031......)

n=17585: c14053(3789636395......) = 394527107813391163601 * c14032(9605515871......)

n=105760: c42222(6605066047......) = 9709515916529281 * c42206(6802672867......)

n=52932: c15991(5982961585......) = 10487287220938441 * c15975(5704965887......)

n=106096: c50113(1000000009......) = 668800802539982209 * c50095(1495213531......)

n=106162: c45461(3925299060......) = 270113070036508007 * c45444(1453205896......)

n=17715: c9408(4731341476......) = 18439604184328869511 * c9389(2565858479......)

n=53146: c26534(5254270825......) = 40868008142248785562249 * c26512(1285668439......)

n=106324: c50329(1009999999......) = 11147276929528541 * c50312(9060508735......)

n=106416: c35409(5948503303......) = 162047307274786369 * c35392(3670843658......)

n=106668: c35538(8522621999......) = 449183737933046749 * c35521(1897357646......)

n=53380M: c9963(4446327631......) = 3975965198831881 * c9948(1118301446......)

n=106794: c33392(1190718338......) = 9514455478549597 * c33376(1251483430......)

n=106806: c30499(1420018024......) = 45171091525299979 * c30482(3143643372......)

n=106982: c52985(1099999999......) = 52482156838541179 * c52968(2095950445......)

n=53666: c26795(1383078989......) = 2552696438665629450180280087 * c26767(5418109917......)

n=17911: c17904(1342751445......) = 6921313400607664724089279 * c17879(1940024050......)

n=17915: c14298(8992093031......) = 15738156037290671 * c14282(5713562001......)

n=107640: c25345(1000000000......) = 63694542398666401 * c25328(1569993224......)

n=107758: c44856(9090910000......) = 547734210045277529 * c44839(1659730181......)

n=17971: c17922(7914741211......) = 2425904212969947365572831 * c17898(3262594280......)

n=17987: c17942(1669024942......) = 350055188538534894848933 * c17918(4767890885......)

n=17995: c13912(7702710668......) = 211380153747848681 * c13895(3644008452......)

n=107994: c35017(5178627419......) = 479105364778751653 * c35000(1080895310......)

n=108158: c52708(1521545323......) = 91199089325436931 * c52691(1668377759......)

n=108366: c36121(1098901098......) = 106486333517410291 * c36104(1031964443......)

n=108378: c35959(4613461156......) = 246341084083440373 * c35942(1872794046......)

n=108426: c33964(5732261038......) = 494642923347060259 * c33947(1158868502......)

n=108506: c53789(1099999999......) = 18976797076365179 * c53772(5796552471......)

n=108546: c35568(9100000000......) = 501624922248538321 * c35551(1814104442......)

n=18135: c8640(9990000009......) = 148486402404340930801 * c8620(6727888781......)

n=108814: c53032(8375305096......) = 226276202895187729 * c53015(3701363638......)

n=108978: c35340(1370787573......) = 662301448195164733 * c35322(2069733618......)

n=109044: c33400(1863943260......) = 37307574159609781 * c33383(4996152396......)

n=109122: c33544(2775138084......) = 66848845788617491 * c33527(4151362752......)

n=109266: c36414(1142854244......) = 813058098223661659 * c36396(1405624330......)

n=109296: c31663(1182506713......) = 9108705226838490341940961 * x31638(1298216029......)

n=109296: x31638(1298216029......) = 13602429506047806847131394926241 * c31606(9544001160......)

n=109462: c54252(3825195423......) = 69718959972817343 * c54235(5486592779......)

n=109548: c34159(1144518693......) = 4750274254554649 * c34143(2409373927......)

n=109572: c34841(2316940358......) = 27978277166479141 * c34824(8281211685......)

n=21953: c21162(7320828815......) = 50374008288988179499321 * c21140(1453294876......)

November 25, 2023 2023 年 11 月 25 日 (Alfred Reich)

# via Kurt Beschorner

n=19987: c17137(4940850110......) = 33121641118340092283681 * c17115(1491728653......)

# ECM B1=5e4, sigma=6781107246501326

n=32827: c30869(3180667391......) = 733651121006845154231 * c30848(4335394985......)

# ECM B1=5e4, sigma=1758986725449289

n=102731: c96641(1209122587......) = 112359895190387867719 * c96621(1076115801......)

# ECM B1=5e4, sigma=4161162114475114

n=102733: c97308(9000000000......) = 111226828268592600559 * c97288(8091572995......)

# ECM B1=5e4, sigma=2437906303979399

n=104217: c69457(2286939062......) = 308264195958705655180597 * c69433(7418763164......)

# ECM B1=5e4, sigma=6338999688447018

n=104387: c102108(2195493305......) = 1433469173887645351 * c102090(1531594362......)

# ECM B1=5e4, sigma=7546147161680778

n=104431: c98258(3436235286......) = 6172156990956278431 * c98239(5567316728......)

# ECM B1=5e4, sigma=4423267125729440

n=104843: c102997(6558410451......) = 47478149243437771483 * c102978(1381353434......)

# ECM B1=5e4, sigma=1795095631014900

n=105001: c94081(1111111111......) = 148706889713488324609 * c94060(7471819989......)

# ECM B1=5e4, sigma=97261727469383

n=105289: c104566(6096256931......) = 1977583807402082471093 * c104545(3082679433......)

# ECM B1=5e4, sigma=5977918285254242

n=105383: c99158(3948968813......) = 4187469423891154241 * c99139(9430442144......)

# ECM B1=5e4, sigma=8434578699613317

n=105885: c51840(9990000009......) = 7686156191946788791 * c51822(1299739396......)

# ECM B1=5e4, sigma=8969028662206783

n=299031: x198073(1109999999......) = 1926343769695610332987 * x198051(5762211384......)

# ECM B1=5e4, sigma=1313577348645313

n=299031: x198051(5762211384......) = 586603476798236969245093 * x198027(9823009259......)

# ECM B1=5e4, sigma=3879248761952548

n=299015: x235866(2064370225......) = 13236863766080508311 * x235847(1559561435......)

# ECM B1=5e4, sigma=582872980495337

# 212217 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212217 個の Φ_n(10) の素因数が見つかりました。

November 25, 2023 2023 年 11 月 25 日 (-)

# via factordb.com

n=100170: c22465(1000000000......) = 817746029699330971 * c22447(1222873563......)

n=100448: c48376(2594579041......) = 99331546047933473 * c48359(2612039321......)

n=100556: c48049(1009999999......) = 412300704840594541 * c48031(2449668380......)

n=100644: c33522(5683375382......) = 17955444735194521 * c33506(3165265726......)

n=50326: c25139(1647965847......) = 181121268270798507592613 * c25115(9098687653......)

n=100826: c45807(2550798898......) = 13453428428184449 * c45791(1896021458......)

n=100934: c49888(1755228006......) = 62218314261089419 * c49871(2821079336......)

n=100990: c40379(1323605706......) = 13990131353464571 * c40362(9460995559......)

n=101042: c47845(1099999999......) = 346679448976887371 * c47827(3172959929......)

n=101238: c32929(4300822596......) = 50080834291132849 * c32912(8587761480......)

n=101290: c34704(9091000909......) = 14303128578057131 * c34688(6355952727......)

n=50660L: c9472(3540999964......) = 14337108793772702229720821 * c9447(2469814532......)

n=101804: c49201(1009999999......) = 27924517889717921 * c49184(3616893240......)

n=50914: c25422(6231999449......) = 4305100936036829243065607 * c25398(1447584979......)

n=101890: c38874(5795068068......) = 1945739125029451 * c38859(2978337637......)

n=101894: c47017(1099999999......) = 29348339356971779 * c47000(3748082597......)

n=101898: c31089(1532276435......) = 2732047439292487 * c31073(5608527924......)

n=101904: c30715(4906554617......) = 341531249737183969 * c30698(1436634164......)

n=102006: c33947(8741461784......) = 6308446815935569 * c33932(1385675751......)

n=3010: c1005(3019263005......) = 1458403742372587441269682405403605121 * c969(2070251822......)

n=102410: c30241(1000000099......) = 22186561504132411 * c30224(4507233353......)

n=102662: c43982(1248759858......) = 31521727215864299 * c43965(3961584497......)

n=102709: c102052(1662105575......) = 61566415404918517 * c102035(2699695221......)

n=25683: c14659(1080480092......) = 14533128518299307122521547 * c14633(7434600822......)

n=51580L: c10297(9434065233......) = 361403747969404551341039801 * c10271(2610394963......)

n=103218: c34384(2879612905......) = 1803672419060299 * c34369(1596527659......)

n=103254: c34417(1098901098......) = 570218183890567 * c34402(1927158989......)

n=51700M: c9192(3706460689......) = 1605846131533601 * c9177(2308104504......)

n=103719: c53747(2161011042......) = 1290140971751612751079 * c53726(1675019311......)

n=103741: c94294(1314462135......) = 4991878000446696895031 * c94272(2633201644......)

n=103838: c44470(4346626159......) = 27859085116186409 * c44454(1560218557......)

n=4156: c2076(9900990099......) = 12913276426715383224960141674762983178849 * c2036(7667295093......)

n=103959: c69300(9990000009......) = 95680395004052191159 * c69281(1044101041......)

n=104124: c34705(1009998990......) = 9233770319955889 * c34689(1093809955......)

n=52100M: c10384(9926054135......) = 172036060177451837101601 * c10361(5769752065......)

n=104314: c44677(2639802736......) = 7712887553961059 * c44661(3422586830......)

n=104368: c47343(6390438901......) = 213389153035697 * c47329(2994734648......)

n=104374: c49897(1099999999......) = 644801980987374179 * c49879(1705950093......)

n=104440: c35712(9999000099......) = 179399421999661361 * c35695(5573596608......)

n=17415: c9073(1000000000......) = 76278648706540831 * c9056(1310982846......)

n=104568: c34830(5503566847......) = 227703482042546929 * c34813(2416988443......)

n=17445: c9282(5231757102......) = 24743112868447704631 * c9263(2114429631......)

n=104869: c104854(4045193636......) = 1172031667353792395443 * c104833(3451437149......)

n=104936: c48347(2316265199......) = 827120167758913601 * c48329(2800397438......)

# 212213 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212213 個の Φ_n(10) の素因数が見つかりました。

November 22, 2023 2023 年 11 月 22 日 (Kurt Beschorner)

n=6251: c4969(1111110999......) = 183702145430882564160192114436197121 * c4933(6048437798......)

# ECM B1=1e6, sigma=0:1547126799216090

n=100053: c66689(6163399690......) = 52980335399468881 * c66673(1163337235......)

# P-1 B1=2.4e6

n=100061: c89682(2813144360......) = 8355517286552203 * c89666(3366810532......)

# P-1 B1=1.2e6

n=100063: c97879(2077501170......) = 11152513681217244632431 * c97857(1862809793......)

# P-1 B1=1.1e6

n=100067: c90848(8021360494......) = 55416624847781231 * c90832(1447464640......)

# P-1 B1=1.2e6

November 17, 2023 2023 年 11 月 17 日 (Makoto Kamada)

n=185012: c88423(6998844921......) = 929587668982589 * c88408(7528977798......)

n=185018: c91253(6833755297......) = 353292253432207 * c91239(1934306577......)

n=185024: c77947(1801564839......) = 260518887931009 * c77932(6915294524......)

n=185026: c91118(2224177751......) = 442647619598939 * c91103(5024714136......)

n=185073: c105653(7267309102......) = 101050867758289 * c105639(7191733493......)

n=185109: c123384(5001905353......) = 114295681256083 * c123370(4376285523......)

n=185125: c148000(9999999999......) = 906164994706001 * c147986(1103551787......)

n=185139: c123408(9999999990......) = 102342262805677 * c123394(9771134344......)

n=185163: c107991(3646715442......) = 341890833237427 * c107977(1066631535......)

n=185165: c142906(4286136964......) = 386152252964201 * c142892(1109960367......)

n=185225: c142801(1000010000......) = 564538940893201 * c142786(1771374705......)

n=185234: c78000(9090910000......) = 105386330293609 * c77986(8626270574......)

n=185238: c59987(2335578038......) = 979716541972771 * c59972(2383932432......)

n=185277: c122401(1109999999......) = 117686374433839 * c122386(9431848039......)

n=185283: c99072(9990000009......) = 591989757618547 * c99058(1687529198......)

# 212198 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212198 個の Φ_n(10) の素因数が見つかりました。

November 16, 2023 2023 年 11 月 16 日 (Makoto Kamada)

n=185305: c148233(1291730349......) = 135299299823881 * c148218(9547206458......)

n=185315: c136795(2997860405......) = 215973354970361 * c136781(1388069563......)

n=185321: c181320(1487934080......) = 101433759593123 * c181306(1466902229......)

n=185391: c123582(1036271258......) = 101102884705117 * c123568(1024967053......)

n=185397: c119268(2908941176......) = 113696134098961 * c119254(2558522503......)

n=185433: c122287(1149495415......) = 230617818108289 * c122272(4984417185......)

n=185439: c123612(9356544733......) = 319723012940119 * c123598(2926453322......)

n=185443: c180869(3449345783......) = 355375396529399 * c180854(9706203122......)

n=185459: c170841(3106661766......) = 427135569462449 * x170826(7273245284......)

n=185459: x170826(7273245284......) = 437555475440311 * c170812(1662245290......)

n=185489: c184482(1261288315......) = 519228837505877 * x184467(2429156903......)

n=185498: c91937(1099999999......) = 113715070792783 * c91922(9673300050......)

n=185508: c61809(1162084751......) = 291415771419589 * c61794(3987720864......)

n=185504: c76800(9999999999......) = 569898803779009 * c76786(1754697489......)

n=185525: c144001(1000010000......) = 420214006264001 * c143986(2379763609......)

n=185530: c74209(1099989000......) = 215600934126971 * c74194(5101967691......)

n=185536: c85233(5208860688......) = 851256699482177 * c85218(6119024604......)

n=185542: c76571(1618132314......) = 225172635682961 * c76556(7186185435......)

n=185547: c122473(1109999999......) = 362017686463561 * c122458(3066148537......)

n=185570: c57578(9204084857......) = 109820163440681 * c57564(8381051865......)

n=185631: c120776(2269762549......) = 470107130872111 * c120761(4828181494......)

n=185636: c84361(1009999999......) = 744152858946641 * c84346(1357248027......)

n=185645: c146696(4618116530......) = 431415360015361 * c146682(1070457141......)

n=185675: c127192(7067990156......) = 164805190901401 * c127178(4288693892......)

n=185687: c169323(8596019135......) = 989993322161453 * c169308(8682906180......)

# 212192 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212192 個の Φ_n(10) の素因数が見つかりました。

November 15, 2023 2023 年 11 月 15 日 (-)

# via factordb.com

n=90117: c51832(7370737143......) = 430069985526547 * c51818(1713845976......)

n=90154: c45058(2817380840......) = 57062889425994684677 * x45038(4937325937......)

n=90154: x45038(4937325937......) = 182169383364092927935157 * c45015(2710294038......)

n=90166: c45082(9090909090......) = 334767552721443717691001 * c45059(2715588478......)

n=90376: c37400(3286175189......) = 715128397488192689 * c37382(4595224020......)

n=90412: c38737(1009999999......) = 521480939049166181 * c38719(1936791787......)

n=90526: c45258(1004220739......) = 10749740680387648905739 * c45235(9341813627......)

n=90602: c44695(2671348618......) = 297767223860194019 * c44677(8971264815......)

n=90611: c85494(1199585471......) = 73164416034101519 * c85477(1639574995......)

n=90685: c62161(1111099888......) = 94521824159974681 * c62144(1175495605......)

n=90686: c45280(9680045676......) = 170191987399117306601477 * c45257(5687721158......)

n=90737: c87752(1151691495......) = 600651482620853 * c87737(1917403900......)

n=90792: c27630(6188423858......) = 13645985888780857 * c27614(4534977471......)

n=90816: c26855(5545690893......) = 117134713920577 * c26841(4734455489......)

n=90826: c45412(9090909090......) = 1148780970373631120056571 * c45388(7913526882......)

n=90888: c25920(9999000100......) = 69168581247811417 * c25904(1445598553......)

n=91013: c83972(4272293678......) = 20183670285032489 * c83956(2116708021......)

n=91101: c60721(6752037524......) = 22719406696390267 * c60705(2971925110......)

n=91138: c45563(9974773797......) = 849669781093759489260150463 * c45537(1173958874......)

n=91185: c48609(1562900850......) = 2002538069936311 * c48593(7804599939......)

n=91254: c29809(1737340186......) = 33632443922808967 * c29792(5165667384......)

n=91279: c88748(2303426622......) = 3727959521582243 * c88732(6178786568......)

n=91333: c75211(4332432699......) = 204786749294522363 * c75194(2115582533......)

n=91344: c27520(9999999900......) = 637232161257121 * c27506(1569286754......)

n=91481: c81342(2565089051......) = 14862269039017453 * c81326(1725906754......)

n=91483: c78335(2618475169......) = 3126287355476573 * c78319(8375670154......)

n=91488: c30465(1000000000......) = 5639918723704033 * c30449(1773075196......)

n=91510: c36567(8721864033......) = 72811088501102891 * c36551(1197875792......)

n=91556: c44713(1009999999......) = 682105945302281 * c44698(1480708395......)

n=91563: c58337(3607976279......) = 4800746297177533 * c58321(7515448758......)

n=91697: c89700(9000000000......) = 92888086180196641 * c89683(9689078944......)

n=91755: c48913(1001000999......) = 6255771125169871 * c48897(1600124077......)

n=91796: c44929(1009999999......) = 71329824210326441 * c44912(1415957506......)

n=91869: c60471(6366541101......) = 328569932971717027 * c60454(1937651763......)

n=91918: c45943(1219608412......) = 177659440425231145150881939383 * c45913(6864866901......)

n=91958: c45978(9090909090......) = 110148388421570992562788764779 * c45949(8253329187......)

n=92124: c30645(2581673545......) = 652840103450089 * c30630(3954526586......)

n=92146: c46067(1409393012......) = 6269071158284684752918121 * c46042(2248168790......)

n=92198: c46098(9090909090......) = 133274028024600302097571 * c46075(6821215825......)

n=92215: c73753(1489185153......) = 728361097597662961 * c73735(2044569868......)

n=92389: c81340(8320044476......) = 6411193769535677 * c81325(1297737172......)

n=92438: c46187(6695633774......) = 3587804237959093537611917 * c46163(1866220487......)

n=92497: c87033(9009300300......) = 124730522719547 * c87019(7223011741......)

n=92514: c28992(9100000000......) = 15430442020349011 * c28976(5897433131......)

n=92539: c89308(1739232564......) = 345716351222818813 * c89290(5030807939......)

n=92558: c46278(9090909090......) = 88934339382709889325373 * c46256(1022204601......)

n=92585: c74026(8910902798......) = 3982613740188311 * c74011(2237450925......)

n=92714: c45878(5450607983......) = 69714357171259579 * c45861(7818487045......)

n=92894: c46418(3351015346......) = 562368341439512440342622611 * c46391(5958755320......)

n=92931: c61952(9009009009......) = 345546897266530129 * c61935(2607174042......)

n=92950: c31183(4230920209......) = 57957945133316801 * c31166(7299983116......)

n=93147: c60954(1385656557......) = 5966382765168961 * c60938(2322439930......)

n=93204: c30977(7163226908......) = 16403480178577021 * c30961(4366894604......)

n=93335: c67786(3577202052......) = 1851506972754121 * c67771(1932048922......)

n=93395: c74704(6145782191......) = 45017524919042111 * c74688(1365197709......)

n=93397: c91729(5858233539......) = 4519351582374757 * c91714(1296255321......)

n=93408: c26490(1529388500......) = 660399512488143457 * c26472(2315853466......)

n=93414: c31137(1098901098......) = 5937986319135727 * c31121(1850629219......)

n=93446: c46697(6643675996......) = 676556062013632789439579 * c46673(9819845493......)

n=93542: c46764(2557507669......) = 135062567227736522031705521 * c46738(1893572528......)

n=93549: c62328(3322967698......) = 14487645288968947 * c62312(2293656168......)

n=93565: c74835(1392038542......) = 2666880861863161 * c74819(5219725269......)

n=93650: c37410(5801005294......) = 8869298792523451 * c37394(6540545572......)

n=93685: c72961(1111099999......) = 1201515287980351 * c72945(9247489491......)

n=93802: c46887(3863936275......) = 3620808934785784876536245237 * c46860(1067147243......)

n=93813: c62521(4602457791......) = 20598690737070427 * c62505(2234344818......)

n=93915: c50053(4899557184......) = 3929420053908001 * x50038(1246890665......)

n=93915: x50038(1246890665......) = 22546911439775881 * c50021(5530206069......)

n=94114: c47038(1099259101......) = 5244276032337006452419 * c47016(2096112208......)

n=94393: c84840(2832713677......) = 2931873965863519 * c84824(9661785295......)

n=95026: c47478(1083465276......) = 5099475129903057184858063 * c47453(2124660379......)

n=95099: c93480(9000000000......) = 3801610419819077 * c93465(2367417753......)

n=95244: c31745(1009998990......) = 23357628588619909 * c31728(4324064774......)

n=95255: c76172(1403327515......) = 68857372240805881 * c76155(2038020722......)

n=95316: c28704(9999999999......) = 24358339889267749 * c28688(4105370089......)

n=95448: c30704(4334548021......) = 993888423668142241 * c30686(4361201839......)

n=95455: c71802(6466685019......) = 2019127617147631 * c71787(3202712381......)

n=95544: c31803(4538426594......) = 165952666592940961 * c31786(2734771720......)

n=95586: c31315(3180012215......) = 256916918860626733 * c31298(1237758972......)

n=95643: c63742(8577195634......) = 126874200015958609 * c63725(6760393865......)

n=95758: c42336(9090909090......) = 377519701017856489 * c42319(2408062166......)

n=95761: c87343(5130322418......) = 2317081680013921 * c87328(2214131017......)

n=96029: c95015(5842701665......) = 184536883138843483 * c94998(3166143031......)

n=96030: c22995(2110256829......) = 98826424511192731 * c22978(2135316379......)

n=96057: c59020(1438563135......) = 41851882363981483 * c59003(3437272242......)

n=96058: c48023(9463880626......) = 44094837952893679338397 * c48001(2146255903......)

n=96198: c32053(1288874814......) = 1706437321163437 * c32037(7553015857......)

n=96217: c87460(9000000000......) = 3101605992704077 * c87445(2901722533......)

n=96241: c95472(9000000000......) = 276308782409129969 * c95455(3257225456......)

n=96257: c82500(9000000900......) = 4188283093242991 * c82485(2148852095......)

n=96370: c36784(9091000000......) = 130169817815375411 * c36767(6983953847......)

n=96491: c94381(2333617078......) = 1051411682190119 * c94366(2219508416......)

n=96543: c60481(1001000999......) = 3609800639032717 * c60465(2773009094......)

n=96605: c76704(5395939435......) = 4708724950407521 * c76689(1145944919......)

n=96645: c48375(2930845458......) = 27605670014858671 * c48359(1061682421......)

n=96762: c32241(1627380842......) = 4632193827737407 * c32225(3513196776......)

n=48420M: c6423(7706916765......) = 193416095084636521 * c6406(3984630525......)

n=96874: c48428(3612109721......) = 476614440526619663744251183 * c48401(7578682922......)

n=96894: c27623(3793957205......) = 16193118096443863 * c27607(2342944195......)

n=96898: c48436(2775881495......) = 528528815824861084397 * c48415(5252091110......)

n=97156: c47895(2358280222......) = 5405744889634721 * c47879(4362544424......)

n=97236: c31086(7291336836......) = 5335665359600701 * c31071(1366528135......)

n=97238: c48593(6106374368......) = 8513105935768391804688767 * c48568(7172910115......)

n=97269: c64844(9009009009......) = 341577288418122241 * c64827(2637473074......)

n=97346: c48658(1906850813......) = 104775662435628782724623851 * c48632(1819936776......)

n=97484: c48732(5787195608......) = 834739550136550049 * c48714(6932935677......)

n=97555: c76880(1318314322......) = 99455476011153151 * c76863(1325532163......)

n=97800: c25920(9999999999......) = 1166677817125201 * c25905(8571346650......)

n=97913: c97188(9000000000......) = 395432676835612627 * c97171(2275987930......)

n=97942: c45188(1123102212......) = 16533496894383613 * c45171(6792889729......)

n=98030: c39202(1870156776......) = 2136969410697241 * c39186(8751443832......)

n=98086: c49002(8185716282......) = 37432063296623269695176527 * c48977(2186819416......)

n=98161: c81641(8575204945......) = 34226561092960837399 * c81622(2505424054......)

n=98203: c84143(6810005038......) = 42437315369866453 * c84127(1604720981......)

n=98274: c29752(6739319143......) = 9942165416152729 * c29736(6778522446......)

n=98321: c98296(1285769048......) = 7996733850526763855077 * c98274(1607867752......)

n=98383: c95643(2608921842......) = 14726284054156109693 * c95624(1771609071......)

n=98452: c48601(1009999999......) = 2010368649191521 * c48585(5023954190......)

n=98503: c97648(9000000000......) = 1311300222121481 * c97633(6863416819......)

n=98558: c49272(2635404375......) = 317757012342617283307961 * c49248(8293772515......)

n=98673: c63595(5624610457......) = 15648068819921413 * c63579(3594443839......)

n=98687: c91841(1111111111......) = 1278785203144403 * c91825(8688801750......)

n=98803: c95354(7823645106......) = 3060218344805878603 * c95336(2556564344......)

n=98805: c45107(1461897545......) = 21169823148093271 * c45090(6905572783......)

n=98858: c49404(3102961084......) = 158204522209438122898969 * c49381(1961360548......)

n=98916: c32969(1009998990......) = 40870979494451341 * c32952(2471188609......)

n=98968: c48577(1000099999......) = 1524618671473433 * c48561(6559673042......)

n=98997: c65996(9009009009......) = 27353861869895761 * c65980(3293505338......)

n=99013: c98999(3263288371......) = 1004676948956934467 * c98981(3248097186......)

n=99055: c71978(5186853093......) = 3645243581279766511 * c71960(1422909876......)

n=99135: c52830(7930165880......) = 61861974887085481 * c52814(1281912821......)

n=99171: c66096(9999999990......) = 2427011726200930243 * c66078(4120293232......)

n=99197: c82493(4261423790......) = 121718086434874811108011723 * c82467(3501060454......)

n=99238: c47097(1000000000......) = 217537504938983 * c47082(4596908474......)

n=49620L: c6593(8500008400......) = 399436652973879597639432569031811372381 * c6555(2127999105......)

n=99255: c48715(6065712963......) = 128771300909522311 * c48698(4710454053......)

n=99334: c49637(1854738807......) = 645071995808207531026497053 * c49610(2875243104......)

n=99361: c97812(9000000000......) = 86667203746546289 * c97796(1038455103......)

n=99493: c96755(4619886037......) = 65603647761755093 * c96738(7042117619......)

n=99547: c85320(9000000900......) = 745767876989790929 * c85303(1206809944......)

n=99585: c53081(1029889810......) = 1295955768168613184401 * c53059(7946951864......)

n=99609: c66404(9009009009......) = 2696862813648511 * c66389(3340551459......)

n=99624: c28388(6158990854......) = 455462247383513833 * c28371(1352250573......)

n=49820M: c9537(3127163589......) = 601695192861881 * c9522(5197255398......)

n=49820L: c9569(2796100000......) = 594344671662976254777624873881 * c9539(4704509240......)

n=99667: c99628(2501319024......) = 98832711112675346083 * c99608(2530861489......)

n=99677: c99036(9000000000......) = 44170709129536530182923 * c99014(2037549357......)

n=99693: c56147(8052748776......) = 17179068490533973 * c56131(4687535171......)

n=99747: c66486(1164574145......) = 168027661251588277 * c66468(6930847793......)

n=99754: c49846(1050360195......) = 983825672139225854004037 * c49822(1067628367......)

n=99782: c49883(2794714813......) = 44979582454484640125819 * c49860(6213296479......)

n=99819: c66511(1175799685......) = 34829452914350203 * c66494(3375877560......)

n=99821: c99072(9000000000......) = 93655888181375528231 * c99052(9609646734......)

n=99843: c63625(1109999999......) = 165896010927756751 * c63607(6690938460......)

n=99925: c68395(1667931502......) = 50956648784583151 * c68378(3273236254......)

n=99983: c92249(3769140760......) = 24537275363476778813 * c92230(1536087729......)

# 212186 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212186 個の Φ_n(10) の素因数が見つかりました。

November 14, 2023 2023 年 11 月 14 日 (-)

# via factordb.com

n=80013: c52674(6729032206......) = 443501541611203 * x52660(1517251142......)

n=80013: x52660(1517251142......) = 14256562193675293 * c52644(1064247552......)

n=80017: c64681(1000000100......) = 757760650727921 * c64666(1319678052......)

n=80028: c23298(9951659856......) = 10618414907716981 * c23282(9372076663......)

n=80061: c53329(1073329518......) = 219046687681279 * c53314(4900003420......)

n=80073: c43192(1580055159......) = 312807582615403 * c43177(5051204788......)

n=80080: c23041(1000000009......) = 732852680079521 * c23026(1364530740......)

n=80103: c53400(9009009009......) = 574770237294157 * c53386(1567410492......)

n=80109: c49888(1689173464......) = 235544533084549081 * c49870(7171354997......)

n=80126: c40030(1293494122......) = 157582139997569527867034437 * c40003(8208380228......)

n=80133: c53409(5022937821......) = 639447612230823037 * c53391(7855120146......)

n=80157: c41520(9009009910......) = 61555397209169557 * c41504(1463561331......)

n=80217: c53460(9999999990......) = 6125579180261929 * c53445(1632498690......)

n=80223: c42233(4986100994......) = 1367815189125529 * c42218(3645303132......)

n=80269: c68767(7580970574......) = 33680891179253627 * c68751(2250822442......)

n=80285: c64224(9000090000......) = 3905329797060431 * c64209(2304565931......)

n=80321: c77688(8484073529......) = 2202877251725867 * c77673(3851360089......)

n=80340L: c9781(4082542950......) = 12124338334132441 * c9765(3367229483......)

n=80355: c38880(9009099100......) = 365888066328775321 * c38863(2462255517......)

n=80357: c79472(1438115266......) = 11306251064265947 * c79456(1271964737......)

n=80373: c52688(3093217357......) = 7761118589793511 * c52672(3985530335......)

n=80383: c77752(2827373033......) = 102726495219356483 * c77735(2752330864......)

n=80402: c34443(4046988799......) = 4111923404803481 * c34427(9842082163......)

n=80439: c53624(9009009009......) = 1044897238927093 * c53609(8621909096......)

n=26820M: c3453(9923304362......) = 48085898827288745590792821944381190241 * c3416(2063662030......)

n=80482: c40240(9090909090......) = 44194351770146348985623 * c40218(2057029626......)

n=80485: c64371(1208358311......) = 27873556262301721 * c64354(4335142239......)

n=80574: c24741(2342317633......) = 2728658281086973 * c24725(8584136933......)

n=80586: c23751(6650108954......) = 166494844610065819 * c23734(3994183105......)

n=80618: c39897(1196894329......) = 5230758902983441 * c39881(2288184852......)

n=80628: c26873(1009998990......) = 32139206157201049 * c26856(3142576033......)

n=80661: c43824(9009009909......) = 1641995305360243 * c43809(5486623427......)

n=80697: c52273(1109999999......) = 6562621419459043 * c52257(1691397277......)

n=26900M: c5304(1795362653......) = 2814269062379284675448067453401 * c5273(6379498953......)

n=80774: c40386(9090909090......) = 42698509794180356421983 * c40364(2129092826......)

n=80814: c26926(3313345837......) = 28503039124187161 * c26910(1162453527......)

n=80854: c40393(7957901926......) = 5495264234383053229592294317 * c40366(1448138176......)

n=80858: c40428(9090909090......) = 165171734191774774764462583 * c40402(5503913327......)

n=80948: c34099(2058930714......) = 164239245397576189 * c34082(1253616764......)

n=80954: c38068(3125647199......) = 3883515620716183 * c38052(8048499103......)

n=81084: c25962(8953036202......) = 50172661868508541 * c25946(1784445127......)

n=81185: c59899(2280999607......) = 3276153146453591 * c59883(6962432786......)

n=81262: c39591(3208224658......) = 1191661831602247 * c39576(2692227420......)

n=81273: c54152(1950282725......) = 62813566942245997 * c54135(3104874982......)

n=81340L: c13761(3491083264......) = 14045796953828921 * c13745(2485500307......)

n=81374: c36943(7929936623......) = 2093930444451893 * c36928(3787106035......)

n=81385: c63342(5238362235......) = 353710908547493881 * c63325(1480972768......)

n=81427: c80540(7633717284......) = 14317251659528791 * c80524(5331831461......)

n=81437: c75590(5300873357......) = 423156440253273787 * c75573(1252698258......)

n=81500M: c16151(2479362241......) = 2718382622081501 * c16135(9120725764......)

n=81504: c27067(1022443660......) = 8563724929969057 * c27051(1193923986......)

n=81535: c62305(1111099999......) = 17782827889773911 * c62288(6248162591......)

n=81555: c43489(1109988900......) = 107808094720321 * c43475(1029596991......)

n=81618: c26619(2456204721......) = 106019961836983 * c26605(2316737979......)

n=81624: c25624(1145937662......) = 2699875987867489 * c25608(4244408513......)

n=81753: c43771(1836628124......) = 72138033414614413 * c43754(2545991396......)

n=81754: c39830(1003028029......) = 1325732893417213 * c39814(7565837997......)

n=81758: c40867(1942879871......) = 98801395315833240078046087 * c40841(1966449831......)

n=81801: c53281(1001000999......) = 1780515012891907 * c53265(5621974500......)

n=81866: c40912(4799180952......) = 16419799666659421169914477 * c40887(2922801160......)

n=81878: c40896(1260715056......) = 2412854658956908997801 * c40874(5224993772......)

n=81978: c25200(9100000000......) = 4000605187334263 * c25185(2274655851......)

n=81986: c40956(2931869022......) = 1026300723358077354960260743 * c40929(2856734830......)

n=27340L: c5451(5570126885......) = 357496853503848521 * c5434(1558091163......)

n=82042: c36288(9090909090......) = 242569605120103453 * c36271(3747752768......)

n=82050: c21840(9999900001......) = 19166914677940201 * c21824(5217271620......)

n=82053: c54622(2161897130......) = 132540641021827 * c54608(1631120170......)

n=82062: c26486(2463356318......) = 286347945448423 * c26471(8602668040......)

n=82071: c49681(1001000999......) = 1224051052465693 * c49665(8177771654......)

n=82091: c81192(9000000000......) = 1084026711967039 * c81177(8302378438......)

n=82094: c41040(5536886711......) = 280577365630236042863813 * c41017(1973390369......)

n=82135: c65692(4776267901......) = 2105561264764241 * c65677(2268406045......)

n=82260M: c10905(5077648562......) = 1134122390387101 * c10890(4477161023......)

n=82282: c41140(9090909090......) = 30273544123356634727611 * c41118(3002921974......)

n=41172: c13248(9901000000......) = 29078457407626078231489 * c13226(3404926149......)

n=82384: c38863(8493613748......) = 3063795530050513 * c38848(2772252151......)

n=82462: c41209(2283517193......) = 182469657820493772523517 * c41186(1251450362......)

n=82465: c65968(9000090000......) = 1087751030567521 * c65953(8274034910......)

n=82470: c21966(4210264410......) = 13765838243930281 * c21950(3058487493......)

n=82480: c32961(1000000009......) = 23027901408764641 * c32944(4342558152......)

n=82548: c27500(1211402924......) = 8722909080080281 * c27484(1388760232......)

n=27540M: c3451(9077622752......) = 92845710553674001296180353401 * x3422(9777105154......)

n=27540M: x3422(9777105154......) = 463690205012682010522939525012379881 * c3387(2108542524......)

n=82768: c35419(2013656639......) = 295551206987009 * c35404(6813224211......)

n=82820L: c15984(7579072520......) = 531747246834986981 * c15967(1425314858......)

n=82829: c81977(5970197173......) = 38824033242288467 * c81961(1537758103......)

n=82904: c40305(6985361141......) = 286251955542673177 * c40288(2440284164......)

n=83098: c41512(1128874663......) = 949280628571760839542361 * c41488(1189189613......)

n=83188: c35641(1009999999......) = 112358621488125209 * c35623(8989074328......)

n=83191: c79543(1534579414......) = 44521283675928253 * c79526(3446844493......)

n=83197: c82610(1618083576......) = 271243386793546751 * c82592(5965430516......)

n=83206: c41590(4333613352......) = 7105963207480565193344783 * c41565(6098558669......)

n=83216: c35602(1003818859......) = 559879355563449937 * c35584(1792919938......)

n=83224: c40785(3526081309......) = 794883323665768457 * c40767(4435973437......)

n=83246: c41105(1785908944......) = 7466172446046733 * c41089(2392000663......)

n=83282: c41632(4106777653......) = 2084049966655236729317659 * c41608(1970575427......)

n=83313: c55525(5996896157......) = 658473003891800479 * c55507(9107277172......)

n=83318: c41646(3803910797......) = 1605863761407898827055583 * c41622(2368763084......)

n=83512: c34546(4654270592......) = 100774789989017 * c34532(4618487017......)

n=83626: c41812(9090909090......) = 174498553538500239312429001 * c41786(5209733207......)

n=83633: c76015(5380619010......) = 27116012794551671 * c75999(1984295792......)

n=83731: c77732(3867758629......) = 182305463765987 * c77718(2121581300......)

n=83740L: c16184(1401095184......) = 33689925258716918741864088941 * c16155(4158795765......)

n=83774: c41857(3007024051......) = 42632993015319778007383 * c41834(7053279253......)

n=83794: c41882(8754134304......) = 2500621950200438704961 * c41861(3500782796......)

n=83882: c41916(2580908025......) = 3136963344549238281686251 * c41891(8227408936......)

n=83884: c41172(1003563295......) = 76723690223938301 * c41155(1308022713......)

n=84058: c37436(1081491463......) = 141040720402615853 * c37418(7667937742......)

n=84153: c56100(9009009009......) = 61592038799646757 * c56084(1462690501......)

n=84342: c28106(2171517713......) = 39674247032065579 * c28089(5473368433......)

n=84366: c27216(9990010000......) = 353092993131125917 * c27199(2829285823......)

n=84386: c42157(8323631798......) = 5887142935142577882500253589760491 * c42124(1413866096......)

n=84442: c42220(9090909090......) = 25211624419294911224567 * c42198(3605840282......)

n=84478: c42238(9090909090......) = 3409195625479331209415265287 * c42211(2666584757......)

n=84482: c41387(2170083232......) = 7026801814038437 * c41371(3088294347......)

n=84488: c41288(2218362809......) = 4887733713143041 * c41272(4538632707......)

n=84512: c39745(1000000000......) = 6044457391561697 * c39729(1654408220......)

n=84550: c31680(9999900000......) = 1000788276579601 * c31665(9992023522......)

n=84566: c42275(7517534894......) = 1382093975062397747829979 * c42251(5439235703......)

n=84613: c83972(3531428736......) = 243125061933871693 * c83955(1452515305......)

n=84623: c65486(7382737455......) = 811915723331483 * c65471(9092984953......)

n=84760: c31104(9999000099......) = 311702998365494321 * c31087(3207861378......)

n=84901: c83404(9000000000......) = 1046893622640667 * c83389(8596861997......)

n=84926: c42412(7392909955......) = 16171361867837919884887 * c42390(4571606285......)

n=85075: c65593(9041885301......) = 12470233570617751 * c65577(7250774615......)

n=85106: c36463(6462490467......) = 12559814773089823 * c36447(5145370839......)

n=85154: c42555(4750362579......) = 13487049275738275749339517 * c42530(3522165955......)

n=85286: c42621(1622347795......) = 510455704813674240420739 * c42597(3178234232......)

n=85340M: c15977(3273972386......) = 638587776608177521 * c15959(5126894854......)

n=85356: c28426(1167908080......) = 8108843536063441 * c28410(1440289328......)

n=85367: c80856(9000000000......) = 9494443296390587 * c80840(9479228764......)

n=85390: c34142(8779530474......) = 184593573431321 * c34128(4756140916......)

n=85398: c27720(9100000000......) = 497528834789645809 * c27703(1829039718......)

n=85474: c42705(4142973547......) = 249058880985232751153957 * c42682(1663451442......)

n=85526: c35499(2487489272......) = 131722489250087 * c35485(1888431722......)

n=85534: c42741(1711470067......) = 3847661081887589416629167 * c42716(4448079055......)

n=85536: c25895(2872542445......) = 8043805671631489 * c25879(3571123622......)

n=85543: c84731(1062172853......) = 139711250330197627 * c84713(7602629355......)

n=85548: c28474(7988536325......) = 557858276541331201 * c28457(1432001040......)

n=85555: c67183(2314021219......) = 1809050016927911 * c67168(1279136120......)

n=85673: c73418(1669075489......) = 3086309377900813 * c73402(5407997985......)

n=85678: c42838(9090909090......) = 7334596973277933252635213 * c42814(1239455845......)

n=85692: c27640(6472924748......) = 570332643358499041 * c27623(1134938500......)

n=85700M: c17075(9604386677......) = 7322691232047901 * c17060(1311592469......)

n=85720: c34261(1057044577......) = 51919201133053201 * c34244(2035941528......)

n=85858: c42897(1593506441......) = 5589134183794206547303 * p42875(2851079236......)

$ ./pfgw64 -tc -q"(10^42929+1)/3507443733427174097285328325311951963907826517784418459"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^42929+1)/3507443733427174097285328325311951963907826517784418459 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 1+sqrt(7)

Calling N-1 BLS with factored part 0.04% and helper 0.00% (0.12% proof)
(10^42929+1)/3507443733427174097285328325311951963907826517784418459 is Fermat and Lucas PRP! (78.0033s+0.0006s)

n=85860M: c11233(1000000000......) = 401897000155159441 * c11215(2488199711......)

n=85874: c42929(4200926288......) = 8606522202941891266853 * c42907(4881096207......)

n=85957: c83895(1369415780......) = 598669626388529 * c83880(2287431531......)

n=85994: c38869(9607672346......) = 4664906718381743 * c38854(2059563658......)

n=86031: c51457(1437519958......) = 1633108651850413 * c51441(8802353454......)

n=86206: c43093(8339051249......) = 369583257083926793926129 * c43070(2256339022......)

n=86211: c55065(9358100283......) = 7946433171697879 * c55050(1177647893......)

n=86306: c39210(6912806076......) = 809098844815691 * c39195(8543833822......)

n=86318: c43158(9090909090......) = 4492517141735039671891253 * c43134(2023566923......)

n=86321: c83947(5213069745......) = 1845892421046719 * c83932(2824146025......)

n=86386: c42204(2198567417......) = 1304529535821209 * c42189(1685333568......)

n=86409: c57577(1738635354......) = 1405736212064599 * c57562(1236814801......)

n=86474: c43227(1912023976......) = 148062571987433832024161 * x43204(1291362125......)

n=86474: x43204(1291362125......) = 828381773832324195073157 * c43180(1558897318......)

n=86480: c32371(8615416213......) = 179163596446721 * c32357(4808686800......)

n=86500L: c17162(9109895205......) = 27291533634294001 * c17146(3337993140......)

n=86618: c35376(9090910000......) = 69675490127447863 * c35360(1304750061......)

n=86626: c43276(2476826460......) = 937050347445524370305281 * c43252(2643215988......)

n=86646: c24737(7779633033......) = 46553290903450717 * c24721(1671124185......)

n=86698: c42628(8596016594......) = 15278533892541757 * c42612(5626205142......)

n=86706: c28880(4171468084......) = 1594180418897179 * c28865(2616685059......)

n=86749: c80064(9000000000......) = 14268602457209231 * c80048(6307555366......)

n=86750: c34601(1000000000......) = 361372985589251 * c34586(2767224003......)

n=43404: c14458(7756567861......) = 3037358563274934410244589 * c14434(2553721498......)

n=86932: c42835(1290917944......) = 16001753519494669 * c42818(8067353014......)

n=86972: c40872(1439141160......) = 2810067725123689 * c40856(5121375357......)

n=87060M: c11581(5852868437......) = 22299152994809701 * c11565(2624704372......)

n=87146: c43556(2017679872......) = 45595930653188946253837 * c43533(4425131461......)

n=87158: c43573(1158929441......) = 333530093530677369167 * c43552(3474737253......)

n=87194: c43589(3658270678......) = 2085060080327275768577891 * c43565(1754515715......)

n=87252: c26400(9901000000......) = 7119363680508421 * c26385(1390714176......)

n=87282: c26772(3168958341......) = 1621609917894721 * c26757(1954205081......)

n=87302: c43631(2991743017......) = 6272004449387592473840077 * c43606(4769995049......)

n=87331: c83498(1216861961......) = 2613895271577511 * c83482(4655358516......)

n=87357: c56573(4825788009......) = 620410028772092077 * c56555(7778384915......)

n=87386: c40315(6293878345......) = 2095705605876143 * c40300(3003226372......)

n=87483: c52784(5070386316......) = 376955102889465277 * c52767(1345090244......)

n=87504: c29138(1261395145......) = 2175345423478897 * c29122(5798597004......)

n=87661: c75070(1119541468......) = 285150830960599969 * c75052(3926137843......)

n=87715: c68605(1385167007......) = 48984788128114361 * c68588(2827749307......)

n=87770: c34320(9091000000......) = 12432620454447371 * c34304(7312215500......)

n=87826: c43912(9090909090......) = 224973829235218249876397 * c43889(4040874052......)

n=87892: c36264(4065985119......) = 1256797984508809 * c36249(3235193857......)

n=87897: c57722(1804059328......) = 476641855764860197 * c57704(3784936859......)

n=88002: c29323(1895786654......) = 412812788139308449 * c29305(4592364164......)

n=88028: c43142(7851868954......) = 3261012153105209 * c43127(2407801193......)

n=88043: c82848(9000000000......) = 27637763647166161 * c82832(3256413983......)

n=88089: c58695(6059662827......) = 202996112491029973 * c58678(2985112745......)

n=88115: c70482(2127921814......) = 3030779420457281 * c70466(7021038219......)

n=88122: c27786(9387801841......) = 865684309942561 * c27772(1084437101......)

n=88185: c47014(1714768011......) = 1438796089086001 * c46999(1191807529......)

n=88217: c83529(7054342325......) = 285578918986157 * c83515(2470190149......)

n=88224: c29332(2283748336......) = 37560580283987617 * c29315(6080173201......)

n=88250: c35201(1000000000......) = 8987371404450001 * c35185(1112672387......)

n=88256: c37627(1416332294......) = 1270592681207809 * c37612(1114702071......)

n=88332: c27627(3760811305......) = 1317328487741269 * c27612(2854877382......)

n=88338: c29428(8608833185......) = 3164781700493503 * c29413(2720198105......)

n=88348: c40753(1009999999......) = 259542943752041 * c40738(3891456209......)

n=88368: c25134(3372930700......) = 29473901546640433 * c25118(1144378763......)

n=88470: c23551(6114420055......) = 1150816772674801 * c23536(5313113434......)

n=88545: c47217(1109988900......) = 106604942037563161 * c47200(1041217113......)

n=88592: c37610(6017263400......) = 8175460841692817 * c37594(7360151944......)

n=88593: c59036(2579264958......) = 161320457610733 * c59022(1598845550......)

n=88617: c58288(1078062269......) = 12910010005991041 * c58271(8350592048......)

n=88644: c28854(2534323373......) = 1182084159084901 * c28839(2143944958......)

n=88839: c59180(1807778801......) = 2010471343789933 * c59164(8991815810......)

n=88875: c46788(4861971859......) = 198911501709751 * c46774(2444288951......)

n=88892: c43671(5648852699......) = 36778003827660269 * c43655(1535932381......)

n=88927: c83667(9032420637......) = 120097932651384587 * c83650(7520879367......)

n=88928: c38017(1000000000......) = 2636344341783041 * c38001(3793131208......)

n=88941: c56667(6240056666......) = 984290769216133 * c56652(6339647654......)

n=89044: c43880(1419328415......) = 524490898098637709 * c43862(2706106856......)

n=89102: c39062(8297397194......) = 920480987603087 * c39047(9014197257......)

n=89170: c34553(7665512806......) = 1911022054326241 * c34538(4011211063......)

n=89332: c42681(1009999999......) = 51587728673901521 * c42664(1957829945......)

n=89351: c88693(1174279364......) = 23912099708747717 * c88676(4910816608......)

n=89474: c34440(9999999000......) = 1302631021210289 * c34425(7676770195......)

n=89539: c80238(5997429127......) = 1722257024611961 * c80223(3482307832......)

n=89583: c55080(5963238547......) = 20945787362292391 * c55064(2846987055......)

n=89618: c44794(8904362410......) = 13512959285026721188279610357 * c44766(6589498438......)

n=89638: c44787(2506076823......) = 859657425255386384167 * c44766(2915204068......)

n=89680: c33408(9999999900......) = 374709540619361 * c33394(2668733729......)

n=89781: c59818(2424526155......) = 61075726349366797 * c59801(3969704988......)

n=89782: c34306(1103717752......) = 240102489960585253 * c34288(4596860919......)

n=89814: c29903(6816765269......) = 189568304020957 * c29889(3595941476......)

n=89853: c58801(1109999999......) = 266184262171406329 * c58783(4170043679......)

n=89981: c82347(6619565119......) = 1272743747217871 * c82332(5201019556......)

# 1254 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1254 個の Φ_n(10) の素因数分解が終わりました。

# 212142 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212142 個の Φ_n(10) の素因数が見つかりました。

November 14, 2023 2023 年 11 月 14 日 (Makoto Kamada)

n=185735: c134613(2272136158......) = 212430286276231 * c134599(1069591440......)

n=185758: c92005(1936440734......) = 232260840134357 * c91990(8337353524......)

n=185784: c61912(4593116959......) = 121808692894129 * c61898(3770762865......)

n=185799: c123846(5429983373......) = 232729768747081 * c123832(2333170957......)

n=185826: c61941(1098901098......) = 431551905063649 * c61926(2546393808......)

n=185843: c157311(4300648568......) = 243604439107961 * c157297(1765422906......)

n=185866: c92260(2588907331......) = 140124982022099 * x92246(1847570143......)

n=185866: x92246(1847570143......) = 432131987625047 * c92231(4275476467......)

n=185868: c61915(5380133319......) = 596874733031089 * c61900(9013839959......)

n=185904: c61921(1000000000......) = 115499968968961 * c61906(8658010984......)

n=185905: c148704(1011502744......) = 425880227945311 * c148689(2375087355......)

n=185911: c168980(7387343361......) = 133014438105319 * c168966(5553790601......)

n=185942: c92338(2464925786......) = 674449658209291 * c92323(3654721678......)

n=185961: c123972(9009009009......) = 122365030343359 * c123958(7362404915......)

n=185965: c137281(1111099999......) = 170234512243121 * c137266(6526878629......)

n=185992: c91345(1000099999......) = 742159135547969 * c91330(1347554657......)

# 212086 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212086 個の Φ_n(10) の素因数が見つかりました。

November 13, 2023 2023 年 11 月 13 日 (-)

# via factordb.com

n=70008: c23306(2557800199......) = 856911694717373521 * c23288(2984905230......)

n=70026: c21186(1893352768......) = 2134117774514419 * c21170(8871828870......)

n=70045: c56032(9000090000......) = 28385760660262231 * c56016(3170635484......)

n=70068: c23332(1313140882......) = 5015793042492601 * c23316(2618012487......)

n=35035: c20153(9389105313......) = 5990868188120405591 * c20135(1567236169......)

n=70072: c33090(9004194914......) = 5940851310569353 * c33075(1515640510......)

n=70084: c30025(1009999999......) = 101385677155936489 * c30007(9961959404......)

n=70085: c55099(1169232864......) = 1364382077077471 * c55083(8569687947......)

n=70088: c35029(1146715072......) = 4501537741002689 * c35013(2547385222......)

n=70100M: c13972(3161528654......) = 229792304754072701 * c13955(1375820072......)

n=70103: c63674(2151997843......) = 135266143490672591 * c63657(1590936052......)

n=70122: c20161(1098901098......) = 944913844032133 * c20146(1162964333......)

n=70133: c58465(1111110999......) = 19542145057851641 * c58448(5685716673......)

n=35077: c30060(9000000900......) = 972272757759998689 * c30042(9256662626......)

n=70160: c28033(1000000009......) = 6525391035336961 * c28017(1532475225......)

n=70162: c35080(9090909090......) = 208857741624110968110344731 * c35054(4352679972......)

n=70166: c35057(1012343714......) = 382258417102134059762493721 * c35030(2648322886......)

n=70169: c63780(9000000000......) = 128822484229519169 * c63763(6986358052......)

n=70214: c35101(1438601150......) = 169090927108061477355383 * c35077(8507855358......)

n=70231: c58939(1687974766......) = 18086741403001363 * c58922(9332663795......)

n=70240: c28033(1000000000......) = 1978103256373441 * c28017(5055347827......)

n=70273: c60228(9000000900......) = 1718169247133711 * c60213(5238134086......)

n=70306: c35144(4163067682......) = 7659561410092080382286161 * c35119(5435125406......)

n=35189: c27354(5092823594......) = 210803659024591256471 * c27334(2415908536......)

n=70380L: c8416(1292669061......) = 186059640604363381 * c8398(6947605926......)

n=70467: c46234(5346775614......) = 18108337934033443 * c46218(2952659506......)

n=70482: c22059(1758658915......) = 27885373068981013 * c22042(6306743364......)

n=70502: c35239(1270108039......) = 40019206571052508601400253 * c35213(3173746178......)

n=70512: c21504(9999999900......) = 427542836456910721 * c21487(2338946895......)

n=70532: c27338(1798046561......) = 24800543398197029 * c27321(7250028892......)

n=70582: c35286(1287974312......) = 115107409264178298724583 * c35263(1118932587......)

n=70654: c35305(5789097053......) = 621447649698478100746838543 * c35278(9315502370......)

n=70702: c32009(1728930411......) = 819348336936419 * c31994(2110128663......)

n=70706: c35328(9535925380......) = 163912313555119498861081 * c35305(5817699215......)

n=70743: c47151(2873384841......) = 35343306425336803 * c47134(8129926518......)

n=70787: c69699(7412632273......) = 6850369196834209 * c69684(1082077777......)

n=70802: c35400(9090909090......) = 60893694790357963932263 * c35378(1492914680......)

n=70807: c62367(2251993043......) = 281414982753358609 * c62349(8002392131......)

n=70838: c35365(1485705000......) = 19771755808315555454724695299 * c35336(7514279537......)

n=70902: c21579(4616135665......) = 526200253135141339 * c21561(8772583514......)

n=70940L: c14159(1756277013......) = 57178570000486381 * c14142(3071565121......)

n=71128: c33409(1000099999......) = 8369378361307657 * c33393(1194951353......)

n=71158: c34758(1758560059......) = 45667587261584209 * c34741(3850783816......)

n=71278: c35241(1180117670......) = 205842067541462819 * c35223(5733121926......)

n=71396: c32916(6004233720......) = 3849713671492261 * c32901(1559657219......)

n=71402: c33783(6095436613......) = 789985483395287 * c33768(7715884332......)

n=71427: c45896(2337852166......) = 8562335332764133 * c45880(2730390805......)

n=71468: c33562(7260310755......) = 23852520503797961 * c33546(3043833776......)

n=71496: c23761(1000000000......) = 126053854756561 * c23746(7933117173......)

n=71557: c70921(4130228986......) = 1173183007612523 * c70906(3520532567......)

n=71574: c23400(9100000000......) = 13815124188071023 * c23384(6586983856......)

n=71674: c35836(9090909090......) = 1256102667443302433653607 * c35812(7237393348......)

n=71690: c27972(1963221200......) = 8401416868692761 * c27956(2336773941......)

n=71691: c45666(1682947031......) = 16885309679514361 * c45649(9966930208......)

n=71853: c46668(1033024943......) = 1719811934596969 * c46652(6006615738......)

n=71931: c47942(1046528247......) = 4321100972934997 * c47926(2421901857......)

n=71966: c35975(3029311132......) = 9414749700496198201869641 * c35950(3217622591......)

n=72026: c36005(2146548382......) = 418209464452591502664121 * c35981(5132711153......)

n=72034: c36016(9090909090......) = 7960779045159442751143 * c35995(1141962242......)

n=72074: c36022(1737089547......) = 4946697993245290304299 * c36000(3511614312......)

n=72122: c36050(6795682816......) = 33505218713787472789453 * c36028(2028246069......)

n=72147: c48074(3737860204......) = 224231590164854203 * c48057(1666964142......)

n=72150: c17261(1308689889......) = 993819457189651 * c17246(1316828605......)

n=72280: c26488(1156470689......) = 7778376478067521 * c26472(1486776441......)

n=72283: c68863(8011380288......) = 48437115052957987 * c68847(1653975526......)

n=72302: c36150(9090909090......) = 63794127084675420431301133 * c36125(1425038558......)

n=72321: c48204(2032796203......) = 8249965327534009 * c48188(2464005754......)

n=72365: c56308(1841800150......) = 757175011593191 * c56293(2432462934......)

n=36204: c10311(1712427325......) = 148383074434845706433119828141 * c10282(1154058393......)

n=72458: c36228(9090909090......) = 3069146503318252164430100903 * c36201(2962031653......)

n=72526: c36222(7433588061......) = 2763286235981088921486121 * c36198(2690125968......)

n=72573: c45486(1576513630......) = 528835038796881667 * c45468(2981106611......)

n=72628: c35628(1477430900......) = 3988886048556341 * c35612(3703868405......)

n=72711: c48456(9999999990......) = 4712730847717933 * c48441(2121911968......)

n=72885: c37616(1294845452......) = 100658317448890081 * c37599(1286377007......)

n=72886: c33111(6637666168......) = 48160252154276219 * c33095(1378245725......)

n=72902: c36444(5938110753......) = 23445845208428397566167 * c36422(2532692125......)

n=72912: c20150(3958542870......) = 335641612965821233 * c20133(1179395735......)

n=73042: c35820(9597632668......) = 236170817089531409 * c35803(4063852082......)

n=73150: c21575(2015985257......) = 916810450300302251 * c21557(2198911735......)

n=73168: c34295(5060230677......) = 305030678529133409 * c34278(1658925161......)

n=73312: c34919(4995278925......) = 114686697822348929 * c34902(4355587021......)

n=73324: c35005(4041882892......) = 8531029994853269 * c34989(4737860369......)

n=73332: c20731(3409141271......) = 35470949952511081 * c20714(9611079703......)

n=73342: c36670(9090909090......) = 2235959980073448310038251 * c36646(4065774509......)

n=73382: c36656(2012470388......) = 3808452334314893250244219 * c36631(5284221021......)

n=73383: c47986(4014583061......) = 43416025055596477 * c47969(9246777096......)

n=73394: c36665(2591929607......) = 21452303967102451200622463 * c36640(1208229014......)

n=73741: c71706(2905922690......) = 3690261580420489 * c71690(7874571021......)

n=73769: c72651(1408349115......) = 461988988838140271 * c72633(3048447363......)

n=73774: c36847(5424838199......) = 19961559029016456211887413 * c36822(2717642540......)

n=73813: c73207(2947746644......) = 16226799060023957 * c73191(1816591573......)

n=73886: c36919(2175401261......) = 294013213599805515240359849 * c36892(7398991477......)

n=73894: c36919(5235036365......) = 11440674923191345862887201 * c36894(4575810780......)

n=73941: c42132(9049612420......) = 297239938223467 * c42118(3044547941......)

n=73994: c36956(1302416851......) = 12022791853142407897873811 * c36931(1083289861......)

n=74006: c36991(5384427297......) = 2894458081016928971935311967 * c36964(1860254025......)

n=74026: c36970(1664174973......) = 13301496955003745475752641 * c36945(1251118561......)

n=74065: c59248(9000090000......) = 371271295768271 * c59234(2424127613......)

n=74100L: c8621(5452703041......) = 29372624210549101 * c8605(1856389474......)

n=74106: c23496(9990010000......) = 7270546328502517 * c23481(1374038421......)

n=74109: c42326(3715705958......) = 6772094360792209 * c42310(5486789994......)

n=74140M: c13434(2167480399......) = 5244275623452361 * c13418(4133040585......)

n=74165: c46651(1516900784......) = 22904928328060871 * c46634(6622595636......)

n=74222: c33389(2599062348......) = 920065097343611 * c33374(2824867887......)

n=74255: c59392(4855976391......) = 839811710148461521 * c59374(5782220386......)

n=74266: c36535(2468598307......) = 245577818544180103 * c36518(1005220390......)

n=74347: c54432(9000000900......) = 37892426805080849 * c54416(2375145024......)

n=74355: c39615(1662962711......) = 4108770321454231 * c39599(4047348917......)

n=74434: c37203(1610080672......) = 3927009916108227294121 * c37181(4100016823......)

n=74496: c24565(2134200321......) = 312797673230299393 * c24547(6822941805......)

n=37252: c18217(1009999999......) = 4274381762475099011989961457306629 * c18183(2362914816......)

n=74635: c51034(7536747558......) = 359550857275517711 * c51017(2096156192......)

n=74666: c36274(1485566557......) = 23474751898353499 * c36257(6328358927......)

n=74727: c45115(1966056076......) = 272660975521955929 * c45097(7210625110......)

n=74834: c33594(5281779503......) = 248342758715351557 * c33577(2126810353......)

n=74892: c24638(4671193889......) = 1876095832493821 * c24623(2489848230......)

n=74927: c72480(9000000000......) = 1924197181125997 * c72465(4677275327......)

n=74946: c24968(6152243202......) = 284005921478659651 * c24951(2166237651......)

n=75002: c37494(4179614939......) = 36470978506747120121 * c37475(1146011187......)

n=75035: c58465(1111099999......) = 246269756279201 * c58450(4511719249......)

n=75094: c37539(1396313613......) = 1071609253879722812500007 * c37515(1303006304......)

n=75098: c37543(6052656904......) = 675108524756388973169 * c37522(8965457674......)

n=75116: c36954(2134264689......) = 4074256956505181 * c36938(5238414544......)

n=75144: c23993(1368976498......) = 220805281800055441 * c23975(6199926411......)

n=75298: c37648(9090909090......) = 5992218204957404510249 * c37627(1517119166......)

n=75300L: c9977(5759524082......) = 656876853688849501 * c9959(8768042365......)

n=75332: c36562(3930917358......) = 3443971966645081 * c36547(1141390637......)

n=75362: c32251(4423076514......) = 10750535656244567 * c32235(4114284772......)

n=75366: c24332(1325515145......) = 16097332347323371 * c24315(8234377704......)

n=75552: c25148(1323574179......) = 83528419785270721 * c25131(1584579455......)

n=75581: c68695(5953837910......) = 1862579254901201 * c68680(3196555472......)

n=75585: c40305(1109988900......) = 420696028216769191 * c40287(2638458234......)

n=75620M: c14231(3937920197......) = 453330519720855577249921 * c14207(8686642584......)

n=75636: c22788(1596479972......) = 147007771657561 * c22774(1085983383......)

n=75694: c37814(2187750749......) = 53648514733779693191689 * c37791(4077933489......)

n=75715: c57287(2277872147......) = 309249995439551 * c57272(7365795251......)

n=75717: c49117(1399424871......) = 455537450283682321 * c49099(3072030346......)

n=75756: c24587(1633696285......) = 1572102912079261 * c24572(1039178970......)

n=75757: c67191(3840476074......) = 17029635942268049 * c67175(2255172152......)

n=75779: c68038(2409943271......) = 342146204538828449 * c68020(7043606620......)

n=75820M: c14194(1605493157......) = 8728292785874581298741 * c14172(1839412582......)

n=75840: c19963(6592783539......) = 504134847747841 * c19949(1307742079......)

n=75844: c37188(3228636566......) = 50204393923971629 * c37171(6430984052......)

n=75873: c43339(3657415126......) = 123334759549529683 * c43322(2965437432......)

n=75905: c52983(7800687487......) = 367485391435714031 * c52966(2122720431......)

n=75934: c37966(9090909090......) = 214129647025943367431047 * c37943(4245516310......)

n=75961: c73865(7405115173......) = 53945665231946639 * c73849(1372698833......)

n=75986: c37954(1268254234......) = 324837595898352368360013533 * c37927(3904271706......)

n=76005: c40465(1000000001......) = 1552830298255441 * c40449(6439853743......)

n=25340M: c4280(1410288576......) = 8322364011161379665524781 * c4255(1694576894......)

n=76133: c72103(5910670072......) = 96112715186502347 * c72086(6149727495......)

n=76138: c38068(9090909090......) = 525950024679450997743297809 * c38042(1728473935......)

n=76142: c34554(9058504148......) = 17658661499062277 * c34538(5129779597......)

n=76191: c50098(5253625276......) = 64909035788495959 * c50081(8093827326......)

n=76228: c33408(9900990099......) = 643924609978409 * c33394(1537600822......)

n=76237: c65330(1024855722......) = 1222839603807431 * c65314(8380949714......)

n=76303: c76303(1111111111......) = 54722230730876909294127767563 * c76274(2030456537......)

n=76309: c75605(2544619306......) = 389029825649369 * c75590(6540936296......)

n=76311: c49665(5823742322......) = 480882246393364399 * c49648(1211053717......)

n=76354: c38176(9090909090......) = 2438935715232625945523651 * c38152(3727408243......)

n=76396: c37505(1714777188......) = 246364291446641 * c37490(6960331702......)

n=76429: c73071(2896104908......) = 1324996900273213 * c73056(2185744667......)

n=76478: c38205(8490679357......) = 15324913797941780383519373 * c38180(5540441838......)

n=76513: c72450(4120932295......) = 1683439642388729 * x72435(2447923995......)

n=76513: x72435(2447923995......) = 5681318228440853 * c72419(4308725364......)

n=76532: c35569(1000000000......) = 331431844672867621 * c35551(3017211580......)

n=76580L: c13092(1210707712......) = 39377314870657121 * c13075(3074632479......)

n=76605: c40838(1376349860......) = 5451684705186871 * c40822(2524632173......)

n=76658: c38323(2371803431......) = 6979478927242464155728339 * c38298(3398252872......)

n=76703: c65881(1111111111......) = 348243841395803 * c65866(3190612378......)

n=76742: c38361(9346009821......) = 1720997176954813771973 * c38340(5430578240......)

n=76764: c25585(1009998990......) = 33634507839255289 * c25568(3002865375......)

n=76780M: c13914(4609796690......) = 467032852187724461 * c13896(9870390634......)

n=76811: c65826(2441056201......) = 42151415779093307 * c65809(5791160644......)

n=76854: c25608(6941045775......) = 993439044842542531 * c25590(6986886423......)

n=76912: c31665(2718790083......) = 130600074175420961 * c31648(2081767641......)

n=76976: c36088(1342329227......) = 745920891918211153 * c36070(1799559768......)

n=77010: c19201(1098890109......) = 9904622231415361 * c19185(1109472006......)

n=77012: c35510(1750886367......) = 354792595972739809 * c35492(4934957457......)

n=77020L: c15361(1631373919......) = 87604632489690301 * c15344(1862200517......)

n=77140L: c12079(4295304469......) = 2934212323570081 * c12064(1463869684......)

n=77298: c23760(9100000000......) = 23515626127949437 * c23744(3869767256......)

n=77324: c35630(3390974180......) = 4014385939371341 * c35614(8447055742......)

n=77329: c66251(1141969255......) = 110671461728522507 * c66234(1031855220......)

n=77427: c44199(2671802838......) = 4055913083521027 * c44183(6587426267......)

n=77526: c25052(1288584622......) = 484661189631961 * c25037(2658732842......)

n=77609: c66516(9000000900......) = 81512655676792733 * c66500(1104123135......)

n=77645: c60737(1111099999......) = 376920728799070201 * c60719(2947834690......)

n=77700L: c8622(1472100404......) = 111915332145317401 * c8605(1315369732......)

n=77782: c38877(3201790886......) = 735516630518570180771 * c38856(4353118276......)

n=77891: c69103(4745239896......) = 33290525258544401 * c69087(1425402531......)

n=77900M: c14394(8472819455......) = 271662924700753301 * c14377(3118872207......)

n=77980L: c13313(2159181428......) = 489745079515673941 * c13295(4408786364......)

n=78038: c39004(9124074746......) = 141379820880080701722767 * c38981(6453590540......)

n=78158: c39035(1385705848......) = 6110524990791950017728443561 * c39007(2267736161......)

n=78176: c33398(1729940834......) = 8312068700463361 * c33382(2081239816......)

n=78180L: c10390(2975782163......) = 16830454194236332319897341 * c10365(1768093795......)

n=78194: c39056(4716649127......) = 5050721280298445236599308251 * c39028(9338565455......)

n=78227: c77515(1917492431......) = 983798929187147 * c77500(1949069443......)

n=78247: c72072(9999999999......) = 828027113096951 * c72058(1207689922......)

n=78273: c47940(4990176329......) = 1749564102043837 * c47925(2852239780......)

n=78280: c29368(2216061366......) = 663981590737121 * c29353(3337534349......)

n=78348: c26107(2148527172......) = 113021360251441 * c26093(1900992137......)

n=78353: c66875(7090373187......) = 74387179462869373 * c66858(9531713984......)

n=78423: c52280(9009009009......) = 157677823802270173 * c52263(5713554887......)

n=78435: c35405(1529518663......) = 947292096978361 * c35390(1614622003......)

n=78472: c36836(1608255702......) = 11148126139579201 * c36820(1442624242......)

n=78486: c25704(9100000000......) = 1777122362810143 * c25689(5120637830......)

n=78543: c52318(6403033382......) = 208110732174646237 * c52301(3076743479......)

n=78548: c38593(1009999999......) = 64358646724544209 * c38576(1569330698......)

n=78605: c61738(5676748819......) = 8405956261847561 * c61722(6753245725......)

n=78734: c39345(5006969076......) = 458523105262411122286481 * c39322(1091977485......)

n=78762: c26227(3343411896......) = 1629116197805521 * c26212(2052285712......)

n=78772: c38436(1869455311......) = 6119400442267181 * c38420(3054964827......)

n=78926: c35621(5615345033......) = 537157209848663 * c35607(1045382046......)

n=78954: c26298(1519961289......) = 268770849290368357 * c26280(5655231188......)

n=78986: c38881(1099999999......) = 1961784901941899 * c38865(5607138677......)

n=79003: c78408(9000000000......) = 29772869979690557 * c78392(3022886274......)

n=79006: c39486(1860548578......) = 27592712785941026588776357 * c39460(6742898363......)

n=79020L: c10503(3627679842......) = 939433031283489661 * c10485(3861563008......)

n=79050: c19191(6855813934......) = 3022987981290451 * c19176(2267893215......)

n=79089: c51307(5734252452......) = 10238910417760729 * c51291(5600451824......)

n=79152: c24572(1263375980......) = 3282265028606209 * c24556(3849098015......)

n=79196: c36522(2550633226......) = 55532453307367921 * c36505(4593049783......)

n=79225: c63360(9999900000......) = 823087976224394801 * c63343(1214924806......)

n=79234: c39200(1544772609......) = 122650198889565161 * c39183(1259494581......)

n=79245: c42162(9588498240......) = 360434351401561 * c42148(2660262043......)

n=79273: c79262(2905249844......) = 715684313376891563 * c79244(4059401317......)

n=79324: c33968(1861817751......) = 5293265729663521 * c33952(3517332865......)

n=79340L: c15850(5238043551......) = 749618096118069041 * c15832(6987616198......)

n=79351: c78182(1451762679......) = 40774224982239227 * c78165(3560491167......)

n=79398: c24000(9990010000......) = 31813971706868077 * c23984(3140132924......)

n=79484: c38381(4634576802......) = 73901128794247849 * c38364(6271320719......)

n=79590: c18116(3337939485......) = 2569308527263801 * c18101(1299158684......)

n=39820M: c7183(3513392046......) = 249864456837161 * c7169(1406119177......)

n=79654: c39796(1228722495......) = 106289143491952923029857801 * c39770(1156018813......)

n=79732: c38493(9900474133......) = 16249365054732949 * c38477(6092837535......)

n=79874: c39889(2375651349......) = 1529700633062110079440543 * x39865(1553017171......)

n=79874: x39865(1553017171......) = 849852561296830344391881811 * c39838(1827395999......)

n=79906: c39952(9090909090......) = 1471295862458407607572343 * c39928(6178845005......)

# 212081 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 212081 個の Φ_n(10) の素因数が見つかりました。

# 20021 of 25997 R_prime factorizations were cracked. 25997 個中 20021 個の R_prime の素因数が見つかりました。

November 12, 2023 2023 年 11 月 12 日 (-)

# via factordb.com

n=65014: c32490(7268560484......) = 4400327749111709657651 * c32469(1651822523......)

n=65044: c26394(1790821834......) = 17984333089522661 * c26377(9957677192......)

n=65062: c32526(1397247143......) = 2086181561089562310320321 * c32501(6697629629......)

n=65115: c34705(1001000999......) = 866468917507951 * c34690(1155264753......)

n=65135: c44630(4174824261......) = 725439393089951 * c44615(5754890485......)

n=65252: c29641(1009999999......) = 286350325558592329 * c29623(3527148076......)

n=65283: c42497(2962176765......) = 4294328628300427 * c42481(6897880953......)

n=65294: c32639(6661740664......) = 2380944843446489736961 * c32618(2797939936......)

n=65534: c26982(2691183014......) = 2532326346893939 * c26967(1062731514......)

n=65558: c32759(5341105901......) = 80086676893016850627790579 * c32733(6669156604......)

n=65597: c56201(6906668972......) = 190224995902646321 * c56184(3630789392......)

n=65659: c57961(1111111111......) = 3294718357641547 * c57945(3372400886......)

n=65735: c52569(1695033844......) = 11038443428999801 * c52553(1535573249......)

n=65800: c22072(5796174027......) = 49764391680220001 * c22056(1164723174......)

n=32949: c18775(1068585841......) = 138841267979139189787 * c18754(7696456950......)

n=65942: c32949(1316963645......) = 4726098680406734983166995529 * c32921(2786576697......)

n=32975: c26356(1516262073......) = 14940342555624401 * c26340(1014877716......)

n=65965: c51793(1111099999......) = 188787556919231 * c51778(5885451446......)

n=65976: c21970(7705862578......) = 9637663570068049 * c21954(7995571253......)

n=66045: c27613(3769882590......) = 6536001236323231 * c27597(5767873128......)

n=66058: c33008(2633847779......) = 14630487564295711348489 * c32986(1800246073......)

n=66136: c28316(1512164144......) = 87623574807020561 * c28299(1725750344......)

n=66220M: c10052(2469646316......) = 1032421115732161 * c10037(2392092024......)

n=66225: c35281(1000010000......) = 131673160931771401 * c35263(7594638064......)

n=66238: c33101(8275986887......) = 2030584517711947182317 * c33080(4075667284......)

n=66255: c30215(2746857797......) = 12635453779309831 * c30199(2173928886......)

n=66260M: c13243(3551737408......) = 429216444290358701 * c13225(8274933207......)

n=66276: c18864(9999990000......) = 7078870066167649 * c18849(1412653418......)

n=33145: c22705(1111099888......) = 12205419572140481 * x22688(9103332190......)

n=33145: x22688(9103332190......) = 13247945217495020761 * c22669(6871505007......)

n=66300M: c7632(1187212067......) = 168648360770600101 * c7614(7039570748......)

n=66303: c43057(1001000999......) = 130523643459270289 * c43039(7669116287......)

n=16580M: c3291(2805895565......) = 593004676562928531700562168161 * c3261(4731658411......)

n=66362: c33167(4653261620......) = 40549459494256057593361 * c33145(1147552070......)

n=66556: c28503(2124186844......) = 2207765589287161 * c28487(9621432883......)

n=33283: c32779(8296613917......) = 2433348529011076564963 * c32758(3409546071......)

n=66575: c53223(4324190049......) = 231258392066801401 * c53206(1869852164......)

n=66626: c28541(2427951342......) = 4543526590901383 * c28525(5343759508......)

n=66663: c44388(9999999999......) = 131380307536304881 * c44371(7611490783......)

n=66686: c33331(8965771171......) = 1482406798568976981343 * c33310(6048117952......)

n=66758: c32184(1934040751......) = 75356432213280797 * c32167(2566523778......)

n=66805: c51581(4625501249......) = 146579265782399881 * c51564(3155631340......)

n=66854: c33411(5766887373......) = 63448949067229574487557 * c33388(9089019532......)

n=66875: c52975(7060280587......) = 7297887565963751 * c52959(9674416772......)

n=66914: c33442(1201056013......) = 271260957588648849491 * c33421(4427677408......)

n=66932: c32251(3017979388......) = 549196536749098289 * c32233(5495262963......)

n=66962: c28674(4981915302......) = 4289534151492409 * c28659(1161411735......)

n=66976: c25323(2104228481......) = 147186004909217 * c25309(1429638967......)

n=66980M: c12533(1071881759......) = 90293932314847441 * c12516(1187102756......)

n=67009: c66265(1503269228......) = 847189247559824624677 * c66244(1774419626......)

n=67015: c49441(1111099999......) = 126921732887450094630271 * c49417(8754213913......)

n=67019: c64669(3130856813......) = 100600324825125563 * x64652(3112173662......)

n=67019: x64652(3112173662......) = 244742748523846493 * c64635(1271610162......)

n=67035: c34560(9009099100......) = 988161981776390220721 * c34539(9117026627......)

n=67037: c65430(4475138368......) = 6360849059256553163 * x65411(7035441852......)

n=67037: x65411(7035441852......) = 407942361541170190711 * c65391(1724616640......)

n=67039: c56161(1111110999......) = 376344011751662606490427 * c56137(2952381239......)

n=67045: c45734(1410076116......) = 1492525050419375822081 * c45712(9447587600......)

n=67048: c30465(1000000000......) = 2435770507113569 * c30449(4105477084......)

n=67049: c67014(2883628191......) = 12923314299937828243 * x66995(2231337971......)

n=67049: x66995(2231337971......) = 1808243724112544162035351 * c66971(1233980763......)

n=67077: c42999(2737793154......) = 54857000058360517 * c42982(4990781763......)

n=67085: c53620(2325439953......) = 41539756423106791631 * c53600(5598106858......)

n=67089: c38128(5974686177......) = 3563496494427974987587 * c38107(1676635907......)

n=67097: c66561(3511195336......) = 5195125374529721 * c66545(6758634456......)

n=67105: c53652(1204402653......) = 439124799859275151441 * c53631(2742734306......)

n=67111: c60987(1022167196......) = 2773265565467818037 * c60968(3685789090......)

n=67119: c41260(3170558349......) = 183674782693831261639 * c41240(1726180536......)

n=67129: c67096(1062664904......) = 2059943566308993773 * c67077(5158708819......)

n=67149: c44693(3015954058......) = 8569039102951540519 * c44674(3519594230......)

n=67154: c33516(1517756920......) = 965828034890744925881783 * c33492(1571456683......)

n=67155: c31674(9306818826......) = 12078181584263778409471 * c31652(7705480135......)

n=67167: c42021(2795295796......) = 1274240947389840163 * c42003(2193694843......)

n=67187: c67146(1596440742......) = 24182555718767881 * c67129(6601621272......)

n=67191: c44779(7845060233......) = 15976004877501387606751 * c44757(4910526939......)

n=67205: c53760(9000090000......) = 116728693800602111 * c53743(7710263610......)

n=67221: c34555(7430658353......) = 2064594176468209 * c34540(3599089079......)

n=67239: c43176(6105399927......) = 232992827742091912369453 * c43153(2620423978......)

n=67243: c61093(2335027687......) = 1441409169259062208369758001 * c61066(1619961727......)

n=67263: c38409(1011689514......) = 37444600545627398719 * c38389(2701830170......)

n=67269: c42177(1109999999......) = 498620486763089455159 * c42156(2226141984......)

n=67287: c40752(4055186825......) = 4088019673588632409 * c40733(9919685200......)

n=67294: c33646(9090909090......) = 17039798038091288884192382011 * c33618(5335103779......)

n=67303: c61046(5796730135......) = 135225854148983312489 * c61026(4286702548......)

n=67342: c30584(1959802619......) = 22996074154649773 * c30567(8522335621......)

n=67345: c53859(6588175570......) = 2147588147390431 * c53844(3067709038......)

n=67355: c50946(4142429961......) = 390752899989364362311 * c50926(1060114963......)

n=67397: c61147(1820401366......) = 35968227463657986050521837 * c61121(5061137272......)

n=67403: c57768(9000000900......) = 2064052283954243660351 * c57747(4360355098......)

n=67425: c33567(8407724989......) = 144306471088238260826106001 * c33541(5826297966......)

n=67437: c43824(4221798260......) = 509977761879086569 * c43806(8278396777......)

n=67451: c65551(1402406741......) = 43571991855400425670079 * c65528(3218596814......)

n=67460L: c13459(6346401757......) = 1087176321304441 * c13444(5837509181......)

n=67461: c44327(2406273920......) = 336706306356058831711 * c44306(7146506838......)

n=67479: c44268(1202250199......) = 801409098964574465707 * c44247(1500170388......)

n=33740M: c5725(3826518721......) = 729079001282895194048117701 * c5698(5248428105......)

n=67485: c32624(1069753256......) = 199818240245911321 * x32606(5353631654......)

n=67485: x32606(5353631654......) = 12747371875762929241 * c32587(4199792480......)

n=67499: c67493(8230513641......) = 102873761823065351 * c67476(8000595580......)

n=67509: c41451(2549686262......) = 2834695691579787283 * x41432(8994567813......)

n=67509: x41432(8994567813......) = 10921317865199822845441 * c41410(8235789786......)

n=67515: c30816(9009100000......) = 1544594485403559736231 * c30795(5832663580......)

n=67517: c66759(1625244332......) = 41123277088112677 * c66742(3952127474......)

n=67533: c45007(4748429466......) = 6100182655594009 * c44991(7784077517......)

n=67539: c43958(7633343338......) = 16234954229182747 * c43942(4701795416......)

n=67541: c60929(1111111111......) = 112071801458310563 * c60911(9914279030......)

n=67543: c57874(2041384852......) = 190160052353238386987 * c57854(1073508777......)

n=67545: c33696(9990000009......) = 2543472362912749884991 * c33675(3927701419......)

n=67549: c65329(1624560573......) = 401394648750993563 * c65311(4047290064......)

n=67557: c38554(4283822885......) = 5157851740764106462028413 * c38529(8305440135......)

n=67559: c67542(6187158436......) = 12680264573428140683 * c67523(4879360679......)

n=67563: c45036(9990000009......) = 55223763789434671 * c45020(1809003828......)

n=67569: c44401(1109999999......) = 303300837073325209 * c44383(3659732728......)

n=67591: c67059(1338658700......) = 1734931054820224357 * x67040(7715918722......)

n=67591: x67040(7715918722......) = 388033147241087875603 * c67020(1988468968......)

n=67597: c64622(8360115430......) = 446459423989910957 * c64605(1872536445......)

n=67601: c67575(9891445590......) = 5504831090115173 * c67560(1796866321......)

n=67611: c43516(1630889443......) = 643908071870599 * c43501(2532798570......)

n=67639: c55415(8624826740......) = 41886782497652951 * c55399(2059080747......)

n=67641: c38620(3863528518......) = 11893552978804154071 * c38601(3248422506......)

n=67645: c53118(9091799782......) = 72826533302160440111 * x53099(1248418587......)

n=67645: x53099(1248418587......) = 1662160340826377892671 * c53077(7510819243......)

n=67657: c65296(9000000000......) = 1431849432621252031 * x65278(6285577096......)

n=67657: x65278(6285577096......) = 10070793700436844721 * c65259(6241391973......)

n=67663: c66604(1861005504......) = 315632601411158707649 * c66583(5896113064......)

n=67667: c67053(3964111234......) = 1095282352056930882763 * c67032(3619259660......)

n=67669: c57952(1261982412......) = 391110716923441720199 * c57931(3226662828......)

n=67690: c23155(6287958321......) = 2538747819259051 * c23140(2476795163......)

n=67707: c45126(5269551544......) = 1484763932464759 * x45111(3549083749......)

n=67707: x45111(3549083749......) = 31242819994830574432147 * c45089(1135967800......)

n=67713: c45135(6652299031......) = 1095932145746711881 * c45117(6069991702......)

n=22572: c6467(1514491646......) = 83520566262115658880260761 * c6441(1813315826......)

n=67729: c66870(4178248774......) = 1385239782836048053 * c66852(3016263918......)

n=67733: c67703(2574853882......) = 6637458483336138307 * c67684(3879276817......)

n=67747: c65875(1328470148......) = 51118704661353774301147 * c65852(2598794623......)

n=67751: c67709(1435952464......) = 256814345331246758127637 * c67685(5591402856......)

n=67753: c58056(3652544469......) = 188629911562976776439 * c58036(1936354865......)

n=67769: c62390(1172345610......) = 13399157535341284877 * c62370(8749397915......)

n=67781: c55431(5780612755......) = 43083960218077283 * c55415(1341708776......)

n=67787: c66443(1040723470......) = 1501558965848853071 * c66424(6930953058......)

n=67811: c61970(2151114236......) = 237193155812112462253 * c61949(9069040077......)

n=67821: c39720(5748402952......) = 117378004368534957529 * c39700(4897342550......)

n=67825: c54234(3071598761......) = 520659299767028130551 * c54213(5899440887......)

n=67831: c65448(4860061430......) = 39627443184422518133 * c65429(1226438306......)

n=67833: c45205(4523140390......) = 255644454281647995667693 * c45182(1769309020......)

n=67837: c52792(2114527414......) = 3601678793744659321 * c52773(5870949453......)

n=67857: c45219(8329905915......) = 1662263657390197 * x45204(5011182118......)

n=67857: x45204(5011182118......) = 452100199658810923321 * c45184(1108422894......)

n=67859: c59395(8186850117......) = 1094508637672593683 * x59377(7479931939......)

n=67859: x59377(7479931939......) = 33372957627111434092003 * c59355(2241315265......)

n=67865: c46351(1728512393......) = 11801786881535150641 * c46332(1464619223......)

n=67871: c66780(1526163876......) = 295870770658088957 * c66762(5158211042......)

n=67874: c33904(1045926501......) = 7017653298393055148164613 * c33879(1490422021......)

n=67879: c58171(3314709907......) = 2778081996737293 * c58156(1193164892......)

n=67887: c42738(4469407619......) = 46477904150645101369 * c42718(9616198710......)

n=67917: c45268(3885393491......) = 101591017642679909077 * c45248(3824544316......)

n=67931: c67908(4708681380......) = 1366907213882318587 * c67890(3444770305......)

n=67935: c30995(6354373237......) = 264491227090549831 * c30978(2402489227......)

n=67943: c67927(2900812426......) = 8740669878105555853 * c67908(3318752986......)

n=67947: c39168(5552807979......) = 173397296948536123 * c39151(3202361326......)

n=67975: c54332(4131880824......) = 2874558284157217586351 * c54311(1437396780......)

n=67986: c22635(1073439396......) = 1410503909860099 * c22619(7610325563......)

n=67995: c36228(3007096265......) = 65497992508929241 * c36211(4591127376......)

n=68088: c22654(2417941892......) = 480221205663341833 * c22636(5035058560......)

n=68093: c67488(9000000000......) = 1550431372265467 * c67473(5804836099......)

n=68122: c34040(2158333185......) = 244519011254604890593571 * c34016(8826852252......)

n=68151: c45432(9009009009......) = 166162066561806157 * c45415(5421820512......)

n=68180L: c11658(1265466413......) = 89315041741584401 * c11641(1416856992......)

n=68189: c61980(9000000000......) = 439170276533363 * c61966(2049319018......)

n=68201: c58447(6598096009......) = 8968089913927481 * c58431(7357303587......)

n=68233: c62006(6208564523......) = 681420899398559 * c61991(9111203558......)

n=68254: c34090(2351477528......) = 8801483325274001915869374931 * c34062(2671683217......)

n=68314: c34150(5323010667......) = 2250939275796467295007 * c34129(2364795320......)

n=68340M: c8433(7757318364......) = 18026934057359341 * c8417(4303182304......)

n=68342: c34170(9090909090......) = 86624672555357452289569 * c34148(1049459561......)

n=68420M: c12382(3355261404......) = 328473241691129261 * c12365(1021471760......)

n=68422: c34198(1371423149......) = 716826422760040391053 * c34177(1913187217......)

n=68577: c45690(9127506022......) = 3065637670641529 * c45675(2977359689......)

n=68606: c34286(4484438061......) = 1232776115392386686625011 * c34262(3637674355......)

n=68654: c34288(1159732761......) = 644929591926594365369903 * c34264(1798231584......)

n=68680: c25582(4871347054......) = 4469097631513121 * c25567(1090006855......)

n=68740L: c11721(4752582879......) = 31083150212410661 * c11705(1528990094......)

n=68742: c21364(6227883992......) = 334939557296069263 * c21347(1859405333......)

n=68745: c36646(2526169548......) = 1108770733275991 * c36631(2278351576......)

n=68779: c68040(9000000000......) = 102744738962759 * c68026(8759572597......)

n=68790: c18305(1038512452......) = 1088070059363851 * c18289(9544536618......)

n=68830: c27509(1714836437......) = 88070535079022011 * c27492(1947117087......)

n=68854: c34046(1184036164......) = 261214079102598361 * c34028(4532819092......)

n=68961: c45346(5016068208......) = 1376499755980759 * c45331(3644074898......)

n=34485: c15840(9999999999......) = 355780306492711 * c15826(2810723308......)

n=69038: c34489(1917993722......) = 91063157794677653632849 * c34466(2106223602......)

n=69060L: c9140(6000760412......) = 55293302842602481 * c9124(1085259896......)

n=69080: c24948(9800085497......) = 1774377227861921 * c24933(5523112753......)

n=69100L: c13792(1281096469......) = 392632419572009801 * c13774(3262839250......)

n=69138: c21905(3182681971......) = 8056614791387881 * c21889(3950396107......)

n=34604: c16788(2420281875......) = 13708325028606335373049 * c16766(1765556237......)

n=69285: c35514(1857564973......) = 716264549889523471 * c35496(2593406268......)

n=69300M: c7176(3118633048......) = 180492198110185501 * c7159(1727849226......)

n=34675: c25901(3202071883......) = 147018917321281711001 * c25881(2177999907......)

n=69363: c39514(1075086342......) = 107296326918271 * c39500(1001978700......)

n=69426: c18118(8004253486......) = 163689913817474689 * c18101(4889888020......)

n=69440: c23040(9999999999......) = 1280113142931841 * c23025(7811809491......)

n=69456: c23106(5841817578......) = 505209788408497 * c23092(1156315200......)

n=69502: c31308(2822546202......) = 4047916596066979 * c31292(6972836853......)

n=34756: c17368(3813539368......) = 838618283551928151929 * c17347(4547407853......)

n=69660M: c9034(8545692303......) = 3072987409228921 * c9019(2780907034......)

n=34835: c27864(9000090000......) = 171361503543200351 * c27847(5252107278......)

n=69700M: c12795(3551098456......) = 125774997896865301 * c12778(2823373894......)

n=69711: c43974(2323809549......) = 2536853404069003 * c43958(9160204313......)

n=69780M: c9235(2577940107......) = 25653102468782281 * c9219(1004923326......)

n=69785: c52481(1111099999......) = 1555464733201991 * c52465(7143202775......)

n=69822: c23221(1000000000......) = 807321514043503 * c23206(1238663881......)

n=69875: c50388(7579579113......) = 3086775721614001 * c50373(2455500430......)

n=34941: c22033(1109999999......) = 8669581968572479639603 * c22011(1280338549......)

n=69898: c34944(1300577846......) = 32703220333230663303689430179410207 * c34909(3976910632......)

n=69919: c67480(9000000000......) = 39474890611127039 * c67464(2279930320......)

n=69933: c46620(9009009009......) = 68051120752563241 * c46604(1323859020......)

n=34967: c34401(4083839270......) = 4979972178778319 * c34385(8200526276......)

n=69942: c23305(2250946274......) = 4604276045092063 * c23289(4888816943......)

November 11, 2023 2023 年 11 月 11 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=76253: c76253(1111111111......) = 886985144553853110204787 * c76229(1252682886......)

# ECM B1=5e4, sigma=5857801957964457

n=76333: c76333(1111111111......) = 981666212525311219271 * c76312(1131862436......)

# ECM B1=5e4, sigma=6272741605172731

# 211994 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 211994 個の Φ_n(10) の素因数が見つかりました。

# 20020 of 25997 R_prime factorizations were cracked. 25997 個中 20020 個の R_prime の素因数が見つかりました。

November 11, 2023 2023 年 11 月 11 日 (-)

# via factordb.com

n=60032: c25280(4439084210......) = 61529220296702593 * c25263(7214595258......)

n=60055: c48040(9000090000......) = 2250328029564871 * c48025(3999456915......)

n=60058: c30010(7846790217......) = 65040209746989914120557 * c29988(1206452169......)

n=60062: c29451(6457677591......) = 22667410856725757 * c29435(2848881873......)

n=60074: c25691(4069590679......) = 526212452075309903 * c25673(7733740740......)

n=60082: c27289(1537618691......) = 21374642785911691 * x27272(7193657955......)

n=60082: x27272(7193657955......) = 28743544641701209 * c27256(2502703840......)

n=60097: c56916(9000000000......) = 5723665244081573 * c56901(1572419003......)

n=60098: c29687(9414492308......) = 30352570693193681 * c29671(3101711681......)

n=30052: c13588(3100639945......) = 44670434307473490559781 * c13565(6941145735......)

n=60105: c32049(1109988900......) = 21711649667989471 * c32032(5112411617......)

n=60132: c20035(3359261726......) = 123239347649398009 * c20018(2725802911......)

n=60155: c46987(5657915007......) = 959975038344521951 * c46969(5893814715......)

n=60165: c27340(2244045010......) = 212468567396563801 * c27323(1056177409......)

n=60230: c22738(2022947692......) = 13425921999563561 * c22722(1506747687......)

n=60268: c25920(9900990099......) = 329881073721717181 * c25903(3001381675......)

n=60290: c24104(2047925240......) = 87103158272004041 * c24087(2351149236......)

n=60334: c29749(1535883839......) = 879818857410417979 * c29731(1745681883......)

n=60346: c25200(9090909091......) = 144422571325211609 * c25183(6294659489......)

n=60368: c23500(1932660713......) = 32881076826790193 * c23483(5877729380......)

n=60371: c59465(7098961335......) = 521530779485913517 * c59448(1361177827......)

n=60396: c17213(3563598302......) = 738564848034469 * c17198(4825031020......)

n=60408: c20092(1826388299......) = 88018592786354161 * c20075(2075002838......)

n=60414: c20114(2177917546......) = 30823822151103049 * c20097(7065695926......)

n=60426: c20074(2063543524......) = 667897385814613 * c20059(3089611619......)

n=60436: c29105(1014448055......) = 14813607687911129 * c29088(6848082364......)

n=60458: c27187(9419768177......) = 25256412509801329 * c27171(3729654072......)

n=60508: c25890(4760662409......) = 318416961650434249 * c25873(1495103271......)

n=60512: c28795(5508518924......) = 1556094940653793 * c28780(3539963263......)

n=60536: c24266(5425028165......) = 1398850702544401 * c24251(3878203839......)

n=60564: c17087(6758385469......) = 43866797312708749 * c17071(1540660792......)

n=15145: c11113(1394101949......) = 14688636297308752218311 * c11090(9491023680......)

n=60619: c55944(9000000000......) = 478446619276471 * c55930(1881087594......)

n=60626: c30293(1036059147......) = 518212282923785529722009 * c30269(1999294848......)

n=60662: c25941(2315349513......) = 60382834929400859 * c25924(3834449833......)

n=60668: c29233(1009999999......) = 488480579710246769 * c29215(2067635934......)

n=60690: c13040(2390984158......) = 3417509979987601 * c13024(6996275571......)

n=60708: c20204(6204734127......) = 414157801381098301 * c20187(1498157008......)

n=60756: c19672(1254046391......) = 4752676282898029 * c19656(2638610998......)

n=60759: c39276(1617464050......) = 2443443663091843 * c39260(6619608524......)

n=60766: c29033(2372506923......) = 1209127476823333 * c29018(1962164427......)

n=60800: c23041(1000000000......) = 44384387932940801 * c23024(2253044474......)

n=60801: c37346(1396004540......) = 3276903276329827 * c37330(4260133495......)

n=60858: c16626(2785032012......) = 739566366530419 * c16611(3765763477......)

n=60863: c55202(8576086259......) = 59364415801297333 * c55186(1444650999......)

n=60871: c58744(9000000000......) = 116485288181671 * c58730(7726297578......)

n=60882: c19872(9100000000......) = 887505792787362241 * c19855(1025345420......)

n=60888: c19457(1747610134......) = 565500128248026217 * c19439(3090379730......)

n=60906: c20287(3173666605......) = 1043083681971703 * c20272(3042581012......)

n=60924: c20269(2011333954......) = 309199050094189 * c20254(6504981026......)

n=60975: c32386(5875162455......) = 174250849342495951 * c32369(3371669336......)

n=61002: c20264(3653126635......) = 12886718209042609 * c20248(2834799812......)

n=61038: c20332(5107324761......) = 140194265843770543 * c20315(3643033993......)

n=61062: c20338(3534947622......) = 184114784983575583 * c20321(1919969448......)

n=61096: c26161(1000099999......) = 685839641304324697 * c26143(1458212590......)

n=61152: c16111(2237354594......) = 30388252892612161 * c16094(7362564087......)

n=61159: c52361(4111220373......) = 166428701916284039 * c52344(2470259232......)

n=61180L: c9471(1692189486......) = 22953636731709041 * c9454(7372206445......)

n=61188: c20365(2615689843......) = 15843039709010821 * c20349(1651002516......)

n=15300L: c1910(3670860275......) = 249490905127587619098736822201 * c1881(1471340317......)

n=61210: c24476(1797044649......) = 163265903162640611 * c24459(1100685822......)

n=61332: c19296(9901000000......) = 135643601295740281 * c19279(7299275384......)

n=61342: c30647(3404546034......) = 19950540065954492351758213 * c30622(1706493169......)

n=61369: c47741(1703294467......) = 148092629829933559 * c47724(1150154784......)

n=61380M: c7190(3225622665......) = 3003214963207141 * c7175(1074056537......)

n=61388: c30146(1158218142......) = 8862306772291249 * c30130(1306903690......)

n=61399: c56664(9000000000......) = 20408751385423883 * c56648(4409872916......)

n=61422: c19706(2029525356......) = 736023228330480823 * c19688(2757420252......)

n=61446: c15104(4094847645......) = 1448336249652139 * c15089(2827276916......)

n=61477: c56736(9000000000......) = 4771787471346559 * c56721(1886085676......)

n=61488: c17268(9796129861......) = 171682210271997937 * c17251(5705966766......)

n=61500M: c7986(1706318046......) = 30662366241598501 * c7969(5564860954......)

n=61504: c29750(2125095425......) = 352432738174649537 * c29732(6029790070......)

n=30756: c9280(9901000000......) = 34600156570432204916222206501 * c9252(2861547744......)

n=61566: c19800(9100000000......) = 536501980982240899 * c19783(1696172674......)

n=61593: c35103(9849316183......) = 10632242845329631 * c35087(9263629816......)

n=61606: c30766(1448779198......) = 3920519937986328078863663 * p30741(3695375158......)

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"(10^30803+1)/270608519321772618545332237630852468654038809787218662661072407"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^30803+1)/270608519321772618545332237630852468654038809787218662661072407 [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)

Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
(10^30803+1)/270608519321772618545332237630852468654038809787218662661072407 is Fermat and Lucas PRP! (37.4766s+0.0006s)

n=61611: c37321(1109999999......) = 348069208200187 * c37306(3189020958......)

n=61617: c36421(4092577763......) = 3401969738072671 * c36406(1203002401......)

n=61618: c30788(2817506540......) = 793828445007913560543150289 * c30761(3549263770......)

n=61633: c51601(1111111111......) = 5275687068058837 * c51585(2106097455......)

n=61642: c24177(2481708866......) = 174084053440566053 * c24160(1425580814......)

n=61712: c24164(1672076429......) = 544270519024289 * c24149(3072142200......)

n=61748: c30059(7196888224......) = 16700376495732109 * c30043(4309416752......)

n=61758: c19867(8087963600......) = 1195968747576997 * c19852(6762688085......)

n=61788: c19433(2064967364......) = 2997022773696949 * c19417(6890062306......)

n=61818: c20593(5186785075......) = 58611916462859743 * x20576(8849369528......)

n=61818: x20576(8849369528......) = 540847183150973929 * c20559(1636205161......)

n=61826: c29244(6596795562......) = 6146357510574299 * c29229(1073285364......)

n=61832: c30127(8106831879......) = 235223595972103177 * c30110(3446436504......)

n=20625: c10001(1000000000......) = 413565609591873751 * c9983(2417996024......)

n=61926: c20610(5382483537......) = 98303731065277807 * x20593(5475360374......)

n=61926: x20593(5475360374......) = 226497035825148169 * c20576(2417409284......)

n=61932: c18979(6695009813......) = 609987712876992529 * c18962(1097564700......)

n=61953: c40705(1109999999......) = 14589337779991519 * c40688(7608295981......)

n=61954: c30970(3412473950......) = 10822857332840983032397693 * c30945(3153024978......)

n=62056: c30982(5845863165......) = 8463897070494449 * c30966(6906822137......)

n=62060M: c11817(8917353375......) = 22231636530244861 * c11801(4011109737......)

n=62061: c40788(3915652188......) = 32876586921338317 * c40772(1191015416......)

n=62106: c18800(9100000000......) = 21221028708539608818607 * c18778(4288199278......)

n=15540L: c1681(9004848118......) = 308220594010611255034820335921 * c1652(2921559523......)

n=62172: c18687(6793895320......) = 736239283216441489 * c18669(9227835943......)

n=62206: c29438(9475400373......) = 85190467277116213 * c29422(1112260640......)

n=62274: c20352(9100000000......) = 98665315010215783 * c20335(9223099322......)

n=62313: c41531(3243666822......) = 1145737640108923 * c41516(2831072934......)

n=62358: c19643(1513532540......) = 39049763614730251 * c19626(3875907049......)

n=62376: c19706(9429522922......) = 747182958251926561 * c19689(1262009902......)

n=62406: c20760(5676528078......) = 276896963802637 * c20746(2050050676......)

n=62412: c17802(5470319881......) = 125048350744382521 * c17785(4374563798......)

n=62424: c19579(1601945402......) = 22990484156048137 * c19562(6967862841......)

n=62447: c48556(3750302151......) = 12372872800431529 * c48540(3031068218......)

n=15620M: c2794(1133471016......) = 6365511658003274965509642399541 * c2763(1780644004......)

n=62504: c28774(6055058319......) = 20009159162546633 * c28758(3026143312......)

n=62510: c19866(4512051154......) = 4229610801655051 * c19851(1066776913......)

n=62546: c28392(4805523109......) = 508257816610911797 * c28374(9454892678......)

n=62552: c26772(6317145430......) = 107070546826020961 * c26755(5899984279......)

n=62610: c16681(1047158832......) = 71989150982414161 * c16664(1454606448......)

n=62614: c31292(1185479227......) = 7421472098661209700299 * c31270(1597363989......)

n=62616: c20851(2797475303......) = 48428892213127249 * c20834(5776459414......)

n=62620L: c11989(2898605216......) = 65087439438245981 * c11972(4453401826......)

n=62624: c29362(3189083424......) = 111532790959941121 * c29345(2859323609......)

n=62634: c17268(2351394354......) = 20508734097044623 * c17252(1146533151......)

n=62640: c16128(9999999999......) = 486256206391201 * c16114(2056529020......)

n=62648: c30401(1000099999......) = 753088039385484289 * c30383(1327998783......)

n=62676: c20848(1600784547......) = 125935148536229521 * c20831(1271118163......)

n=62720: c21505(1000000000......) = 80515902210365441 * c21488(1241990678......)

n=62726: c30859(7997609644......) = 133632060417566569 * c30842(5984798572......)

n=62758: c31342(1823729115......) = 137991598560263347590444863 * x31316(1321623297......)

n=62758: x31316(1321623297......) = 655173465062919164209780700983 * c31286(2017211270......)

n=62793: c41824(1741539764......) = 347035222774650043 * c41806(5018337190......)

n=15700L: c3051(1600952823......) = 100398049919528124611180751136001 * c3019(1594605497......)

n=15700M: c3073(5353783263......) = 77723472272826102412252776445245301 * c3038(6888245091......)

n=62820M: c8285(2251348338......) = 44846925239140741 * c8268(5020072896......)

n=62830: c24454(1266753423......) = 528971113649466731 * c24436(2394749715......)

n=62846: c26496(1370003877......) = 2539156997145413 * c26480(5395506774......)

n=62860M: c10714(2515712183......) = 410465418854928361 * c10696(6128926013......)

n=62862: c20916(1950109669......) = 553606728964092049 * c20898(3522554129......)

n=62870: c25118(1832569448......) = 21864441843610841 * c25101(8381505739......)

n=62876: c28561(1009999999......) = 64416816568767301 * c28544(1567913557......)

n=62882: c30029(1000216565......) = 57434569978083983 * c30012(1741488734......)

n=62884: c30856(4656527394......) = 1099529659389701 * c30841(4235017541......)

n=62910: c16681(1488042229......) = 46382145227119081 * c16664(3208222090......)

n=62918: c31079(3303764113......) = 667527896817828413 * c31061(4949252502......)

n=63051: c42022(2342629581......) = 97118789412628363 * c42005(2412128071......)

n=63060M: c8400(3913542626......) = 78353330094742687853503381 * c8374(4994736818......)

n=63062: c31470(2035369233......) = 23401286388818914094147227579 * c31441(8697680971......)

n=63134: c31566(9090909090......) = 1335014998810571747059459 * c31542(6809593224......)

n=63158: c30168(2009870806......) = 8715320516352091 * c30152(2306135273......)

n=63159: c40883(7073701443......) = 7170463743993289 * c40867(9865054334......)

n=21093: c13729(1109999999......) = 6948808930915338766957 * c13707(1597396058......)

n=63296: c29547(2949886801......) = 7816663466564609 * c29531(3773843934......)

n=63307: c58456(6937216255......) = 247469528044674037 * c58439(2803260793......)

n=63320: c25299(8215924010......) = 5712535027533041 * c25284(1438227331......)

n=63326: c31634(7483783933......) = 2925370107414493914899 * c31613(2558234909......)

n=63361: c63352(5528436006......) = 21670191931899089 * c63336(2551170761......)

n=63382: c27720(9090909091......) = 611454915662679859 * c27703(1486766866......)

n=63441: c33696(9990000009......) = 99706900817835613 * c33680(1001936669......)

n=31724: c12217(4383163489......) = 75973268019314427301 * c12197(5769349672......)

n=63452: c30551(1487961153......) = 31172576380001401 * c30534(4773301811......)

n=63461: c59707(7090913388......) = 4268793748451431 * c59692(1661104706......)

n=63552: c21121(1000000000......) = 26638595346418753 * c21104(3753951689......)

n=63564: c21159(6053010809......) = 697602041447749 * c21144(8676882305......)

n=63586: c31792(9090909090......) = 146594417226975321958411 * x31769(6201401978......)

n=63586: x31769(6201401978......) = 1146453672293137982505910369 * c31742(5409204164......)

n=63598: c31779(1363282622......) = 32103801759723725453 * c31759(4246483431......)

n=15900L: c2063(7752962643......) = 201643671669690039177322785820201 * c2031(3844882698......)

n=63648: c18423(2991111764......) = 257839070513839777 * c18406(1160069247......)

n=63738: c21229(2077717357......) = 1356307974141859 * c21214(1531892016......)

n=63740L: c12720(6268930284......) = 27619539809352581 * c12704(2269744654......)

n=63962: c31964(1350061774......) = 37602006684851499231843077 * c31938(3590398208......)

n=64036: c27433(1009999999......) = 11011756918908929 * c27416(9172015033......)

n=64058: c31999(7390546730......) = 1307194342732913551167983 * c31975(5653747487......)

n=64092: c18144(9999999999......) = 155918677126966321 * c18127(6413599822......)

n=64166: c32038(8989823268......) = 11454181181564490864518059 * c32013(7848508004......)

n=64238: c32113(7075903929......) = 230256586321517832756917 * c32090(3073051695......)

n=64273: c58415(2333788854......) = 6808667113139321 * c58399(3427673604......)

n=64277: c57025(1111111111......) = 1055770797314573 * c57010(1052416977......)

n=64320: c16896(9999999999......) = 6488284971807361 * c16881(1541239332......)

n=64331: c61496(1205624309......) = 2983284410754839 * c61480(4041265075......)

n=64353: c40594(1783450330......) = 305360769176347 * c40579(5840469734......)

n=64382: c32190(9090909090......) = 258360997363152534034619 * c32167(3518684779......)

n=64406: c32154(1596884797......) = 14675967637420678542263 * c32132(1088095065......)

n=64463: c55242(1368774173......) = 61944250891780867 * c55225(2209687183......)

n=64502: c32230(4966332766......) = 577345319780229151447 * x32209(8602014421......)

n=64502: x32209(8602014421......) = 491556303389016835975169 * c32186(1749955063......)

n=64522: c32254(7827563779......) = 61343788524809099807 * c32235(1276015708......)

n=64524: c20298(1667899496......) = 1618589884651969 * c20283(1030464549......)

n=64569: c43020(7093390708......) = 720037511365934959 * c43002(9851418289......)

n=64594: c32289(6014496126......) = 257166733684273595130517 * c32266(2338753555......)

n=64619: c60848(7638613234......) = 276099266014679 * c60834(2766618450......)

n=64664: c31540(2079792601......) = 1243242612049201 * c31525(1672877507......)

n=64682: c32340(9090909090......) = 226674571666989516438691 * c32317(4010555319......)

n=64726: c32342(1821951164......) = 413281855750831553421893 * c32318(4408495411......)

n=64738: c32356(3493789958......) = 1117839799134102339386434579 * c32329(3125483598......)

n=64742: c32364(7800964932......) = 33033723927857067620702414503 * c32336(2361515446......)

n=64785: c29530(1813577736......) = 341956390206271 * c29515(5303535153......)

n=64817: c64808(2450297193......) = 3914040712527013 * c64792(6260275182......)

n=64828: c30658(2993564182......) = 1402269852873229 * c30643(2134798930......)

n=64970: c25337(1217807814......) = 43153778449699241 * c25320(2822018970......)

n=64982: c32481(8679129037......) = 32109928857719690624011 * c32459(2702942468......)

# 1253 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1253 個の Φ_n(10) の素因数分解が終わりました。

# 211992 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 211992 個の Φ_n(10) の素因数が見つかりました。

November 10, 2023 2023 年 11 月 10 日 (-)

# via factordb.com

n=55006: c23536(2172271052......) = 20996138888259571 * c23520(1034605012......)

n=55014: c17888(9100000000......) = 1434671215503121 * c17873(6342916691......)

n=18340M: c3091(1604043790......) = 2469459764552922760137662564027461 * c3057(6495525107......)

n=55058: c27528(9090909090......) = 477394669399685818792681 * c27505(1904275366......)

n=55172: c25394(3313310282......) = 4371285986088529 * c25378(7579715197......)

n=55178: c26946(8617543975......) = 1282930339546171 * c26931(6717078636......)

n=55204: c26773(2940047692......) = 67349965317264481 * c26756(4365329185......)

n=55242: c16200(9999999999......) = 75044205070049557 * c16184(1332547928......)

n=55248: c18392(2011357136......) = 26257395258575473 * c18375(7660154848......)

n=55276: c25441(3826487746......) = 5906517053959289 * c25425(6478416488......)

n=55306: c27613(8303116249......) = 12739733866011957060442819 * c27588(6517495841......)

n=55332: c17465(4884515050......) = 22028347102432609 * c17449(2217377013......)

n=55374: c16739(1058896417......) = 14985979749634807 * c16722(7065913844......)

n=55394: c27675(2988379271......) = 53486729921799433417870693 * c27649(5587141476......)

n=55452: c18471(1198363878......) = 8590762463567569 * c18455(1394944725......)

n=55486: c27707(2214041456......) = 732957026035353238825819 * c27683(3020697499......)

n=55528: c25189(4414590183......) = 143737962091417 * c25175(3071276453......)

n=55534: c27758(1016327553......) = 3553736244371457184134967 * c27733(2859884592......)

n=55556: c24192(9900990099......) = 109396104495612449 * c24175(9050587445......)

n=55580M: c9472(1077154345......) = 47356955293584993441295808941 * c9443(2274543071......)

n=18540M: c2428(3399362787......) = 677762088952628998000762098140832250681 * c2389(5015569390......)

n=55623: c37041(5949142805......) = 2268602134922413 * c37026(2622382618......)

n=55635: c29650(1104365496......) = 19436868210067081 * c29633(5681807813......)

n=55636: c23833(1009999999......) = 109441987644277429 * c23815(9228633559......)

n=55647: c36900(3983876724......) = 12617722594836757 * c36884(3157365915......)

n=55675: c41563(3424053761......) = 14293225965802801 * c41547(2395577996......)

n=55698: c18553(2492161860......) = 1791285114681499 * c18538(1391270345......)

n=11140L: c2215(3344799572......) = 3469543086790320731944492070561 * c2184(9640461262......)

n=55716: c18552(3857104046......) = 209401640926219141 * c18535(1841964575......)

n=55735: c43681(1111099999......) = 414699209246025311 * c43663(2679291339......)

n=55776: c15744(9999999999......) = 1007165312738593 * c15729(9928856637......)

n=55832: c23897(6634320512......) = 468633325767831281 * c23880(1415674077......)

n=55840: c22261(2003726035......) = 47728259279176321 * c22244(4198196342......)

n=55881: c31844(4515097983......) = 36295769397609289 * c31828(1243973625......)

n=55884: c18625(1009998990......) = 435236341692870061 * c18607(2320575956......)

n=55900M: c10061(2432431556......) = 72195876483985801 * c10044(3369211200......)

n=55900L: c10066(3772453794......) = 123720096262979438704366301 * c10040(3049184335......)

n=55940L: c11124(7442632799......) = 11776720551420581 * c11108(6319783820......)

n=55948: c27429(3983449944......) = 36324915556225321 * c27413(1096616436......)

n=56019: c36671(9469845970......) = 1074361117730317 * c36656(8814397518......)

n=56060M: c11184(3363401567......) = 180981585217834543911941 * x11161(1858421984......)

n=56060M: x11161(1858421984......) = 29335970835727141187454718681 * c11132(6334959885......)

n=56062: c28017(1312619923......) = 1054003503534904594895653 * c27993(1245365807......)

n=56088: c17266(2968037132......) = 179152735084528537 * c17249(1656707686......)

n=56180M: c11024(9999999999......) = 2863000928968586872685020215881 * c10994(3492838545......)

n=56202: c16106(3998606243......) = 330846626561917 * c16092(1208598160......)

n=18740M: c3740(3013907001......) = 179003628105532000244627536841 * c3711(1683712801......)

n=56260M: c10729(3895696665......) = 372374789022771341 * c10712(1046176266......)

n=56274: c18355(2130944956......) = 6169443119472121 * c18339(3454031288......)

n=56318: c27147(7945357620......) = 2204716159884761 * c27132(3603800691......)

n=18780M: c2460(1472997885......) = 35492749891732846380526231912621 * c2428(4150137394......)

n=56460M: c7495(2814246227......) = 12269515107986025524026397959081 * c7464(2293689850......)

n=56467: c56454(1910477465......) = 66406014016884359 * c56437(2876964524......)

n=56536: c27345(2052956419......) = 636262437474449 * c27330(3226587487......)

n=56540L: c10222(4795265937......) = 692234444556921027062108281 * c10195(6927228159......)

n=56540M: c10235(3296928032......) = 23454916933765478338892743381 * c10207(1405644727......)

n=56558: c28260(1673897192......) = 147876743987961077755837 * c28237(1131954320......)

n=56644: c22834(3031740602......) = 516072309101749 * c22819(5874643047......)

n=56650: c20388(2614706647......) = 540848905501564001 * c20370(4834449363......)

n=18900M: c2103(1330407897......) = 2008407164013983537989983445103717401 * c2066(6624194142......)

n=56721: c31104(9009009909......) = 1651524433190311 * c31089(5454966168......)

n=56723: c56150(8947386649......) = 28483974938546311 * c56134(3141200154......)

n=56749: c43514(7773213953......) = 674992249203278161 * c43497(1151600475......)

n=18940L: c3785(2824060999......) = 1706039341642776241853085755634481 * c3752(1655331697......)

n=56900M: c11316(2598615355......) = 17458101006025233534664501 * c11291(1488486837......)

n=56908: c27661(9384102312......) = 2160847487848109 * c27646(4342787894......)

n=14229: c8641(1000000001......) = 4624255754983543969 * c8622(2162510150......)

n=18980M: c3424(6447965027......) = 48462852568805584065049420392309601 * c3390(1330496387......)

n=56943: c34958(2688194176......) = 946737614404417879 * c34940(2839428935......)

n=57026: c28512(9090909090......) = 1522361382081729042487 * c28491(5971584144......)

n=57028: c27857(2040683349......) = 17437744402201681 * c27841(1170267955......)

n=57050: c19440(9999900000......) = 37902920309049251 * c19424(2638292754......)

n=57078: c16200(9999999990......) = 10794523622911813 * c16184(9263956742......)

n=57095: c43201(1111099999......) = 196734769324031 * c43186(5647705303......)

n=57100M: c11401(1010050200......) = 3996341182589570270700783401 * c11373(2527437359......)

n=57132: c18165(3356233763......) = 8486825311900981 * c18149(3954639856......)

n=57145: c41498(3462333459......) = 17517663214480111 * c41482(1976481347......)

n=57153: c38092(4420349905......) = 196937481101520871 * c38075(2244544756......)

n=57196: c28072(6804846783......) = 1813847478530261 * c28057(3751609142......)

n=57268: c28133(3094138957......) = 593136249861081961 * c28115(5216573692......)

n=57285: c28512(9990000009......) = 180607443657438151 * c28495(5531333486......)

n=57290: c21487(9922127396......) = 202833745710846121 * c21470(4891753767......)

n=57300L: c7548(6646140593......) = 9180338861326201 * c7532(7239537335......)

n=57315: c30532(5426460227......) = 180240140190744511 * c30515(3010683537......)

n=57380M: c10783(3440229341......) = 10027487082742536672895165062421 * c10752(3430799076......)

n=57477: c29522(1889500101......) = 14325206942297791 * c29506(1319003703......)

n=57540M: c6519(2895110985......) = 351930196951561365836771521 * c6492(8226378441......)

n=57572: c27919(4492988557......) = 91842987342177781 * c27902(4892032247......)

n=19220M: c3713(6283711720......) = 23463562722199206348283789996961 * c3682(2678072292......)

n=57700M: c11478(2064018397......) = 4294553145174083064334089101 * c11450(4806130760......)

n=57740L: c11527(1663146984......) = 11982755003247461 * c11511(1387950420......)

n=57741: c36395(1275409844......) = 34112203340644999 * c36378(3738866797......)

n=57792: c16113(2152460618......) = 2177456941497601 * c16097(9885204055......)

n=57812: c28417(1009999999......) = 1929203752323709 * c28401(5235320524......)

n=57821: c56873(3324491893......) = 40252954825890293 * c56856(8259000881......)

n=57863: c53400(9000000000......) = 165929182896971443 * c53383(5424000674......)

n=57895: c46267(1005918100......) = 134284379086031 * c46252(7490953956......)

n=57900M: c7654(6146790598......) = 128994088325732401 * c7637(4765172325......)

n=19300M: c3817(2029692758......) = 11174680322890113313964846693926001 * c3783(1816331832......)

n=57931: c54845(8693714436......) = 690899549762784587 * c54828(1258318150......)

n=57948: c17520(9901000000......) = 19030392175782901 * c17504(5202730405......)

n=58009: c49716(9000000900......) = 10149768277209961 * c49700(8867198397......)

n=58028: c28506(6694376524......) = 53628894252059641 * c28490(1248277932......)

n=58060L: c11577(1398828311......) = 462895103840581 * c11562(3021912092......)

n=58068: c19345(1000000999......) = 289353568334425201 * c19327(3455982954......)

n=58100M: c9802(3649050561......) = 52906091009343131473131401 * c9776(6897222025......)

n=58140M: c6905(1065306246......) = 78448076692732441 * c6888(1357976245......)

n=58161: c38772(9009009009......) = 1253541017119507 * c38757(7186848205......)

n=58276: c27387(5777073597......) = 5622831045182969 * c27372(1027431475......)

n=58300M: c10381(8196046902......) = 48561040395905186693501 * c10359(1687782394......)

n=58340L: c11616(1035647813......) = 33607961959990499069695348261 * c11587(3081554943......)

n=58382: c29161(5583821022......) = 433314027255276085760354917 * c29135(1288631493......)

n=58388: c26482(1635763745......) = 1035591022086721 * c26467(1579546086......)

n=58404: c18701(2336120034......) = 5317369686692269 * c18685(4393375244......)

n=58428: c19441(1000000000......) = 91277533673190721 * c19424(1095559837......)

n=58466: c26387(1745187787......) = 157827827029933 * c26373(1105754175......)

n=58500L: c7163(1649432963......) = 39939679463053501 * c7146(4129810218......)

n=58515: c30168(1091466158......) = 6485530899992191 * c30152(1682924922......)

n=19540L: c3878(1056282265......) = 25047312540301422749553148991209301 * c3843(4217148104......)

n=19548: c6460(3303475850......) = 400637154055113664658777701 * c6433(8245555404......)

n=58704: c19542(3641485551......) = 25774041672114193 * c19526(1412850028......)

n=58709: c50309(6665151134......) = 3415704826922599 * c50294(1951325267......)

n=58756: c28492(3457711416......) = 2698535632947961 * c28477(1281328797......)

n=58778: c29379(8451648373......) = 3457483713701525433281 * c29358(2444450668......)

n=58786: c20727(1830089816......) = 45239448394310717 * c20710(4045340696......)

n=58798: c29379(3682409222......) = 3427140886709707514039219 * c29355(1074484342......)

n=58820M: c10972(1423293466......) = 8474185905630881 * x10956(1679563656......)

n=58820M: x10956(1679563656......) = 221803191957568558475041 * c10932(7572315086......)

n=58822: c29410(9090909090......) = 55775289296402404037020648637 * c29382(1629916976......)

n=58828: c22766(1414505696......) = 285184193844633469 * c22748(4959972282......)

n=58835: c39331(8355169321......) = 1044064157641471 * c39316(8002543962......)

n=58956: c18482(2054799106......) = 88405131148425781 * c18465(2324298465......)

n=59062: c29515(1995601130......) = 1173327376634977235840731 * c29491(1700805052......)

n=59076: c19630(9981615751......) = 7388962222244689 * c19615(1350881957......)

n=19695: c9600(9009099100......) = 12957279523250542351 * c9581(6952924866......)

n=19700L: c3915(5696810513......) = 1447469041522082356758943907701 * c3885(3935704564......)

n=59108: c25302(3635005009......) = 1150837462396049 * c25287(3158573759......)

n=59133: c37619(3361280207......) = 14615408708774431 * c37603(2299819508......)

n=59146: c29572(9090909090......) = 387406862647850459204201 * c29549(2346605072......)

n=59276: c24182(1292657421......) = 37246956545375501 * c24165(3470504818......)

n=59332: c23328(9900990099......) = 419031957218236181 * x23311(2362824583......)

n=59332: x23311(2362824583......) = 653866913527146229 * c23293(3613616983......)

n=59350: c23721(1000009999......) = 16836391694359051 * c23704(5939574334......)

n=59420M: c11881(2824060999......) = 1422049978997402762705906404321 * c11851(1985908400......)

n=59438: c29321(2451633270......) = 3759532742087783 * c29305(6521111634......)

n=59442: c19786(4269481274......) = 198888037499355241 * c19769(2146675752......)

n=59446: c29718(1529246066......) = 9996641106718038614821787131 * c29690(1529759896......)

n=59484: c19815(2250498868......) = 24819976789506709 * c19798(9067288366......)

n=59524: c28425(1009999999......) = 11559455304245749 * x28408(8737435920......)

n=59524: x28408(8737435920......) = 695708835386744441 * c28391(1255904119......)

n=59549: c49681(1111110999......) = 113582454643849969 * c49663(9782417570......)

n=59568: c18432(9999999900......) = 15515007398762689 * c18416(6445372305......)

n=59572: c29110(1654997449......) = 94874544128244281 * c29093(1744406220......)

n=59580M: c7895(1851340264......) = 36464280800362021 * c7878(5077133633......)

n=59612: c25511(1123027693......) = 638839267921849 * c25496(1757919009......)

n=59625: c31181(9389827246......) = 8567561626056001 * c31166(1095974287......)

n=59652: c19860(4319951302......) = 439644630544600501 * c19842(9826007194......)

n=59676: c19877(1141682873......) = 178448983862104429 * c19859(6397811010......)

n=59796: c17973(2635673013......) = 444359935815542209 * c17955(5931392102......)

n=59807: c54360(9000000000......) = 30735644812472317763 * c54341(2928196253......)

n=59820M: c7962(2610643221......) = 24385339105782538688104441 * c7937(1070579010......)

n=59852: c27593(2616272526......) = 5291212414055569 * c27577(4944561513......)

n=59868: c19945(1000000999......) = 1067623516373041 * c19929(9366607091......)

n=59874: c18745(1213944368......) = 69371320185927757 * c18728(1749922539......)

n=59898: c19536(9100000000......) = 6881867677801957 * c19521(1322315456......)

n=59939: c54480(9000000000......) = 586497033344389003 * c54463(1534534616......)

n=59966: c29938(8416128502......) = 7313460403590599925492493 * c29914(1150772416......)

n=59972: c25740(4967558822......) = 384782575055829589 * c25723(1291004100......)

n=59980M: c11964(7476202620......) = 892558106233004021 * c11946(8376152284......)

n=59990: c20544(9091000909......) = 82932702249868171 * c20528(1096190123......)

# 211954 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 211954 個の Φ_n(10) の素因数が見つかりました。

November 9, 2023 2023 年 11 月 9 日 (-)

# via factordb.com

n=50058: c16510(1139943879......) = 251821891602033373 * c16492(4526786260......)

n=50070: c13327(3254702578......) = 4228378077473881 * c13311(7697283731......)

n=50098: c24319(8374858155......) = 40921221281062289 * c24303(2046580696......)

n=50106: c14281(3515792102......) = 34617300761307727 * c14265(1015617054......)

n=50133: c31413(4246564781......) = 11955846715599643 * c31397(3551872888......)

n=50138: c21840(9090909091......) = 138151749350077739 * c21823(6580379281......)

n=50172: c16114(2141382336......) = 2041427065741501 * x16099(1048963429......)

n=50172: x16099(1048963429......) = 11948852718599869 * c16082(8778779474......)

n=50184: c15351(1086638592......) = 55384975593688537 * c15334(1961973588......)

n=50224: c24187(1531597640......) = 357249141951697 * c24172(4287197533......)

n=50228: c24148(9468746916......) = 36923234270484469 * c24132(2564441361......)

n=25140M: c3344(3913542626......) = 834730472253017146352730808943041 * c3311(4688390752......)

n=8380M: c1650(1487572303......) = 49453918341530959777007194979644921 * c1615(3007996844......)

n=50342: c25170(9090909090......) = 78282600655244027644214339 * c25145(1161293699......)

n=50364: c16777(1000000999......) = 108836559577289989 * c16759(9188098226......)

n=50372: c21475(1882506491......) = 936532420454711921 * c21457(2010081498......)

n=50412: c16801(1009998990......) = 2370294654167581 * c16785(4261069349......)

n=50444: c25205(9214215423......) = 502098954217728869 * c25188(1835139337......)

n=50446: c22913(2915173049......) = 4508608625092837 * c22897(6465793089......)

n=50460L: c6491(2477203534......) = 13204454772392657898341761 * c6466(1876036214......)

n=50463: c28502(6184847634......) = 264576865086064441 * c28485(2337637356......)

n=50467: c49896(9000000000......) = 8477269462187347 * c49881(1061662607......)

n=50508: c15840(9999990000......) = 2222487348307921 * c15825(4499458684......)

n=50521: c47844(9000000000......) = 18634320640246757 * c47828(4829797755......)

n=50522: c25239(4146470650......) = 4730990435177596736148979 * c25214(8764487493......)

n=50530: c19440(9091000000......) = 239859338725091 * c19426(3790138023......)

n=50544: c15531(3505204087......) = 136668756427564609 * c15514(2564744261......)

n=50610: c11485(1239737102......) = 891282619403909881 * c11467(1390958462......)

n=50618: c25260(1815404626......) = 130642128369744486149748739 * c25234(1389601232......)

n=50628: c16860(8015555513......) = 3879986319550849 * x16845(2065872107......)

n=50628: x16845(2065872107......) = 18033320144886889 * c16829(1145586109......)

n=50630: c19673(1741586528......) = 4791179423948971 * c19657(3634984989......)

n=50644: c23001(1009999999......) = 228682969343659249 * c22983(4416594742......)

n=50648: c23309(2875601315......) = 944785130802137 * c23294(3043656405......)

n=50658: c16878(5562188991......) = 6653751373236967 * c16862(8359478254......)

n=50692: c22143(1036599933......) = 113802901274210041 * c22125(9108730285......)

n=16900M: c3120(9999999999......) = 6527530665525346937383697772701 * c3090(1531972887......)

n=50730: c12667(1031501110......) = 15702436897566841 * c12650(6569051145......)

n=50766: c16911(2131915018......) = 158817098439999757 * c16894(1342371217......)

n=50772: c16910(6564100389......) = 321387379897687681 * c16893(2042426305......)

n=50776: c23016(9922171531......) = 23241100370759657 * c23000(4269234835......)

n=50792: c21745(1000099999......) = 1492683603539521 * c21729(6700013302......)

n=50796: c15744(9999990000......) = 6683641851212569 * c15729(1496188787......)

n=50804: c23402(6025572700......) = 3574408269136381 * c23387(1685753905......)

n=50822: c25405(2981280835......) = 21548879042549817934233877 * c25380(1383496946......)

n=50845: c40630(7173057275......) = 53682567777176831 * c40614(1336198615......)

n=50852: c25391(1140983643......) = 117278410410564521 * c25373(9728846424......)

n=50876: c20537(4123284803......) = 38826703605631621 * c20521(1061971380......)

n=50942: c25459(2406075825......) = 101789141435049660986081 * x25436(2363784379......)

n=50942: x25436(2363784379......) = 223330520133145560689027339 * c25410(1058424248......)

n=50970: c13572(1706143490......) = 15480150033365131 * c13556(1102149195......)

n=50979: c33977(1487542084......) = 12814966381096387 * c33961(1160785007......)

n=50983: c47968(9000000000......) = 5064891959890613 * c47953(1776938199......)

n=51004: c24773(8149109483......) = 4366417510930681 * c24758(1866314767......)

n=51068: c23949(8222042173......) = 822891910636350881 * c23931(9991642969......)

n=51083: c48840(9000000000......) = 3348912272020279 * c48825(2687439762......)

n=51116: c23569(1009999999......) = 31980712312514941 * c23552(3158153546......)

n=51148: c24186(2437853443......) = 24321385748833889 * c24170(1002349729......)

n=25580M: c5103(1759336901......) = 153496258735912676579634641 * c5077(1146175754......)

n=51218: c25603(8874634254......) = 9206762259430008410173997 * x25578(9639256455......)

n=51218: x25578(9639256455......) = 1212774778897957559898595859 * c25551(7948101018......)

n=51270: c13647(6039405860......) = 30993895360293721 * c13631(1948579160......)

n=51352: c21826(8135414755......) = 62205787454576473 * c21810(1307822806......)

n=17140L: c3418(6137009854......) = 2696107430733480187660759815221 * c3388(2276248262......)

n=51477: c34300(1309297651......) = 777567546385243 * c34285(1683837832......)

n=51495: c27434(7735115711......) = 10147388825544721 * c27418(7622764678......)

n=51524: c23390(1345947592......) = 5685644220413081 * c23374(2367273681......)

n=51540M: c6847(8185207734......) = 398360408024436357530335561 * c6821(2054724206......)

n=51564: c17176(5322632957......) = 30812698519882921 * c17160(1727415388......)

n=51638: c25818(9090909090......) = 419236543906442180005666717 * c25792(2168443858......)

n=51660L: c5726(2797341059......) = 108269635888973684161 * c5706(2583680121......)

n=51734: c25866(9090909090......) = 38879781760709364917824009 * c25841(2338209907......)

n=51756: c16267(2391262869......) = 162266151056056969 * c16250(1473667092......)

n=3452: c1698(3287683837......) = 1743128883441681202534799974849289 * c1665(1886081900......)

n=51861: c33849(7153409536......) = 172170159386646163 * c33832(4154848646......)

n=3052: c1233(4161511193......) = 74574292014555719066498713223189 * c1201(5580356288......)

n=51912: c14662(3509167611......) = 757959501856537 * c14647(4629756078......)

n=51960: c13824(9999000100......) = 32285807457591361 * c13808(3097026491......)

n=6500M: c1156(9550597473......) = 71178027610558379634714333162503157613501 * c1116(1341790127......)

n=52002: c17143(2681686835......) = 41098884309856783 * c17126(6524962611......)

n=52005: c27718(1074817006......) = 3982006135072951 * c27702(2699184707......)

n=52020L: c6463(2083941907......) = 24745511621594497593167101 * c6437(8421494530......)

n=52034: c25945(4942763781......) = 11038100527717746657390331 * c25920(4477911547......)

n=52176: c17369(6367408306......) = 1242673035385393 * c17354(5123961110......)

n=52242: c17406(4674402594......) = 5177142999849607 * c17390(9028923084......)

n=52300M: c10440(9900498007......) = 2009317760706028933019201 * c10416(4927293333......)

n=52316: c22384(3774637178......) = 6209394341659829 * c22368(6078913612......)

n=52324: c25667(1539665649......) = 323800509085726249 * c25649(4754982175......)

n=52335: c27872(7679047201......) = 123238622645911 * c27858(6231039455......)

n=52340M: c10417(1316080260......) = 20449445307202442346152408761 * c10388(6435774864......)

n=52364: c22452(4329550209......) = 3441089034834049 * c22437(1258191858......)

n=52390: c18720(9999999999......) = 25025264988330491 * c18704(3995961682......)

n=52428: c16340(3320398719......) = 14878646355514621 * c16324(2231653767......)

n=52437: c27106(1564043919......) = 6572713662590923 * c27090(2379601485......)

n=52452: c16520(8391338159......) = 789346232916892741 * c16503(1063074454......)

n=52454: c26221(1444264601......) = 623822546397796225260898597 * c26194(2315184998......)

n=52460L: c10068(2953303662......) = 136256508163823292895185181 * c10042(2167458789......)

n=52596: c17497(1000000000......) = 158656511412285841 * c17479(6302924418......)

n=52628: c25740(7001371106......) = 408232309256018129 * p25723(1715045807......)

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"101*(10^26314+1)/588905553075356036467669580501/(10^118+1)/(10^446+1)"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing 101*(10^26314+1)/588905553075356036467669580501/(10^118+1)/(10^446+1) [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)

Calling N-1 BLS with factored part 0.06% and helper 0.04% (0.24% proof)
101*(10^26314+1)/588905553075356036467669580501/(10^118+1)/(10^446+1) is Fermat and Lucas PRP! (24.8986s+0.0006s)

n=52690: c19109(5368056127......) = 899324916374263721 * c19091(5968984101......)

n=26380M: c5258(7997024967......) = 12897436885135427254390407161 * c5230(6200476139......)

n=52774: c26375(8810017869......) = 103116300581473444418929 * c26352(8543768366......)

n=52778: c23981(1099999999......) = 11706557086625809 * c23964(9396443308......)

n=52782: c16622(8165813020......) = 2596964075773489 * c16607(3144368879......)

n=52828: c25737(6490440165......) = 54318663290160649 * c25721(1194882158......)

n=52855: c37183(3219725383......) = 700857153380231 * c37168(4593982336......)

n=52874: c26410(5217951360......) = 792414910202422990295089 * c26386(6584872764......)

n=52885: c36176(4120880864......) = 22595954669222551 * c36160(1823725053......)

n=52940L: c10568(5419141867......) = 2843747757559861 * c10553(1905633807......)

n=52944: c17633(1000000009......) = 3391604816696449 * c17617(2948456745......)

n=53002: c26482(4617034983......) = 94881460382056514994299 * c26459(4866108684......)

n=53004: c15070(2611356008......) = 5340907726076161 * x15054(4889348668......)

n=53004: x15054(4889348668......) = 32572620074520121 * c15038(1501060908......)

n=53012: c25514(3362657507......) = 96390307532078881 * c25497(3488584686......)

n=53028: c17641(1000000000......) = 7129495628818489 * c17625(1402623764......)

n=53064: c15835(9422495265......) = 4386654252600049 * c15820(2147991321......)

n=53076: c17689(1009998990......) = 398314143420892081 * c17671(2535684475......)

n=10620M: c1359(3738274033......) = 135315609294869181173950925834701 * c1327(2762633264......)

n=53114: c26538(1975703278......) = 40703138376168134262647 * c26515(4853933521......)

n=53140L: c10624(3576409999......) = 32925838759667255753217285101 * c10596(1086201638......)

n=53143: c50322(1245252647......) = 101198975169467401 * c50305(1230499266......)

n=53318: c26105(1099999999......) = 685317682428488441 * c26087(1605095021......)

n=53332: c26129(4630311144......) = 3186004223636441 * c26114(1453328627......)

n=53343: c35547(1638568568......) = 753280368796144999 * c35529(2175243954......)

n=53347: c45708(2806501855......) = 1369192250750563 * c45693(2049750028......)

n=53417: c42158(5540464334......) = 16270998429705839 * c42142(3405116384......)

n=53420L: c10634(1827887542......) = 32058619455270341 * c10617(5701703859......)

n=53427: c32321(1059251412......) = 21776926116046333 * c32304(4864099768......)

n=53443: c49320(9000000000......) = 675932255051587 * c49306(1331494381......)

n=53452: c21637(3008935516......) = 3332117862801001 * c21621(9030099296......)

n=53460L: c6456(2813347607......) = 997171863884461 * c6441(2821326703......)

n=53463: c35001(1109999999......) = 1339833795036157 * c34985(8284609659......)

n=10700M: c2058(2930290613......) = 488239289020187886343898117565101 * c2025(6001750944......)

n=53516: c25147(3774557984......) = 2098338015304021 * c25132(1798832198......)

n=53540M: c10704(3576409999......) = 958782155674722941739622001 * c10677(3730159117......)

n=53541: c35624(4019234185......) = 104128048725452569 * c35607(3859895805......)

n=17860L: c3306(2360287444......) = 7824236251344156534112605293641 * c3275(3016636217......)

n=53589: c35713(4580848769......) = 1172342383717933 * c35698(3907432533......)

n=53628: c17276(1846202614......) = 8269824659821861 * c17260(2232456781......)

n=53698: c26830(1741818352......) = 97101028922566000746470978851 * c26801(1793820696......)

n=53716: c24769(1009999999......) = 37133304785000269 * x24752(2719930277......)

n=53716: x24752(2719930277......) = 692858509716893521 * c24734(3925664821......)

n=53827: c50960(1299031787......) = 6681062785696111 * c50944(1944349019......)

n=53836: c26165(4955331067......) = 1365433302582509 * c26150(3629127147......)

n=53873: c50643(1496560188......) = 19295553966841363 * c50626(7755984568......)

n=53934: c17590(6066769177......) = 65888723767144699 * c17573(9207598555......)

n=53958: c16157(3578598729......) = 2420786905223851 * c16142(1478279117......)

n=54010: c19588(3833228485......) = 7413707821522531 * c19572(5170460689......)

n=54021: c32709(6652905393......) = 976949153552606323 * c32691(6809878865......)

n=54035: c42386(5092178002......) = 4439416033487951 * c42371(1147037800......)

n=54065: c39269(2977683931......) = 372193590348061241 * c39251(8000363274......)

n=54116: c26558(3325762095......) = 28736656432783801 * c26542(1157323957......)

n=54118: c27049(1468781699......) = 68013980101836317647687 * c27026(2159529110......)

n=54135: c28773(2145954225......) = 15176883712317031 * c28757(1413962356......)

n=54195: c28897(1109988900......) = 174358114393675591 * c28879(6366144207......)

n=27100M: c5369(2021170778......) = 17724798798857401 * c5353(1140306754......)

n=54243: c30204(3114738271......) = 822729726885403 * c30189(3785858429......)

n=54302: c25699(1350470393......) = 2781460796159597 * c25683(4855255897......)

n=54432: c15524(9285163816......) = 8390495533587553 * c15509(1106628777......)

n=54435: c27332(2540944630......) = 2896103037129031 * c27316(8773667917......)

n=54444: c16704(9901000000......) = 23778433206726589 * x16688(4163857186......)

n=54444: x16688(4163857186......) = 28541608730227009 * c16672(1458872632......)

n=10900L: c2115(1355311873......) = 118223867871480452556119349316349701 * c2080(1146394461......)

n=54600: c11521(1000000000......) = 2343703169808001 * c11505(4266751920......)

n=54610: c21150(1027841894......) = 170535346476711011 * c21132(6027148713......)

n=54628: c23379(1409344103......) = 7791812607528601 * c23363(1808749998......)

n=54652: c25159(1170485322......) = 6325206140276609 * c25143(1850509368......)

n=54720: c13806(9438635866......) = 29706908468250241 * c13790(3177252818......)

n=54837: c36482(2265132823......) = 525283814333860507 * c36464(4312207537......)

n=54853: c51934(1406040185......) = 650485528141159 * c51919(2161524160......)

n=54868: c23489(3439109117......) = 2418395041058701 * c23474(1422062590......)

n=54898: c27422(6869134767......) = 2421939403292063478727807 * c27398(2836212482......)

n=54923: c49908(1603264663......) = 19144675534890467 * c49891(8374467672......)

n=54924: c17424(9901000000......) = 2182773474349621 * c17409(4535972292......)

n=54938: c25337(1923397747......) = 373177558549321943 * c25319(5154108823......)

n=54988: c26895(1272366279......) = 472220005791215681 * c26877(2694435356......)

n=54992: c23514(5510440410......) = 298243786130549617 * c23497(1847629579......)

n=54996: c18323(1020274171......) = 638484041774410561 * c18305(1597963464......)

# 1252 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1252 個の Φ_n(10) の素因数分解が終わりました。

# 211917 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 211917 個の Φ_n(10) の素因数が見つかりました。

November 8, 2023 2023 年 11 月 8 日 (Kurt Beschorner)

n=5951: c5353(1891756854......) = 4046088391818785098742352077503483 * c5319(4675520332......)

# ECM B1=1e6, sigma=0:4522287507650911

n=11264: c5106(4165076758......) = 13540656849042511279445471315969 * c5075(3075978369......)

# ECM B1=1e6, sigma=0:3393233945647131

n=12857: c11083(6172873799......) = 79954504302496047751484569 * x11057(7720482859......)

# P-1 B1=43e6

n=12857: x11057(7720482859......) = 7364197116775169489545806769 * c11030(1048380799......)

# P-1 B1=43e6

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