-- Mar 30, 2023 (Kurt Beschorner) -- n=1409: c1382(4983358733......) = 1658972136253211819285181026106657071203 * c1343(3003883323......) # ECM B1=11e6, sigma=0:7137899537840100 n=7713: c5098(7477730328......) = 169080936973198939009695188449 * c5069(4422574456......) # ECM B1=1e6, sigma=8231107386027428 -- Mar 29, 2023 (Makoto Kamada) -- n=190014: c57560(9100000000......) = 163039051448659 * c57546(5581484876......) n=190022: c81135(1799715654......) = 263163565832903 * c81120(6838772111......) n=190040: c75965(1873089634......) = 212603259160001 * c75950(8810258329......) n=190046: c94272(7702853274......) = 305211162333167 * c94258(2523778362......) n=190056: c63345(1000099999......) = 416666085881329 * c63330(2400243345......) n=190065: c101361(1109988900......) = 641793273129361 * c101346(1729511583......) n=190078: c81448(1422240683......) = 171072503175127 * c81433(8313672023......) n=190090: c76023(1229115278......) = 204837998066281 * c76008(6000426143......) n=190094: c89441(1099999999......) = 273734081427757 * c89426(4018498516......) n=190104: c62657(1000000000......) = 560277343250641 * c62642(1784830338......) n=190114: c90037(1099999999......) = 498217215698773 * c90022(2207872320......) n=190131: c126724(1005146202......) = 546117721886449 * c126709(1840530278......) n=190135: c138232(7609039796......) = 100925617151041 * x138218(7539255157......) n=190135: x138218(7539255157......) = 684456181127951 * c138204(1101495664......) n=190139: c188250(1126994921......) = 120940636402427 * x188235(9318579390......) n=63393: c35840(9009009009......) = 132189314653243 * c35826(6815232405......) n=190182: c61146(1167046255......) = 169502422918597 * c61131(6885130229......) n=190199: c185520(9000000000......) = 218880591522997 * x185506(4111830993......) n=190223: c172910(1456677668......) = 133465671573323 * c172896(1091424971......) n=190231: c188983(3235462553......) = 104322642353801 * x188969(3101400118......) n=190237: c189247(2077985698......) = 492148486346719 * x189232(4222273878......) n=190246: c80136(9090910000......) = 864370080270607 * c80122(1051738162......) n=190265: c152202(1244813501......) = 146392962638161 * c152187(8503233212......) n=190307: c175656(9000000000......) = 348601553668681 * c175642(2581744087......) n=190335: c101487(7648696683......) = 266675723985511 * x101473(2868163839......) n=190335: x101473(2868163839......) = 491833406048671 * c101458(5831575903......) n=190362: c63413(8741850834......) = 106333374141133 * c63399(8221173178......) n=190373: c188717(4372527545......) = 148416125695477 * x188703(2946126996......) n=190375: c152200(9999999999......) = 371918366680001 * c152186(2688762076......) n=190399: c163772(2227087914......) = 109458336025963 * x163758(2034644409......) n=190399: x163758(2034644409......) = 725869745648477 * c163743(2803043413......) n=190404: c60480(9999999999......) = 482268687058261 * c60466(2073532922......) n=190443: c110875(1182636954......) = 395346085605241 * c110860(2991396646......) n=190452: c62158(1177136338......) = 145993163179921 * c62143(8062955227......) n=190460M: c37264(2856002816......) = 141505762797221 * c37250(2018294350......) n=190456: c76896(9999000099......) = 664755465593521 * c76882(1504162149......) n=190482: c62192(9100000000......) = 209304935986801 * c62178(4347723553......) n=190485: c94432(9784632353......) = 131097783753991 * c94418(7463613856......) n=190486: c87991(2914136586......) = 119703158680921 * c87977(2434469247......) n=190509: c109995(1182227242......) = 253958768102227 * c109980(4655193640......) n=190519: c153601(1111110999......) = 537059277712427 * c153586(2068879630......) n=190532: c85528(4127479909......) = 526410158712241 * c85513(7840805960......) n=190541: c175872(9000000000......) = 103447397433511 * c175858(8700073876......) n=190561: c163296(9999999000......) = 632710106130677 * c163282(1580502492......) n=190610: c65184(9999999000......) = 569236250026921 * c65170(1756739666......) n=95313: c63532(2457624913......) = 980522077032889 * c63517(2506445260......) n=190684: c82944(9900990099......) = 503008225810481 * c82930(1968355504......) n=95345: c76272(9000090000......) = 388433732174681 * c76258(2317020705......) n=190733: c184107(7922103558......) = 128235409172191 * x184093(6177781635......) n=190734: c62648(9100000000......) = 435635844697531 * c62634(2088900651......) n=190752: c63547(5242381509......) = 200516669273281 * c63533(2614436758......) n=190766: c95382(9090909090......) = 153756136372103 * c95368(5912550422......) n=190767: c127169(1494468210......) = 308058975870721 * c127154(4851240597......) n=190768: c95370(1941469715......) = 748594389466081 * c95355(2593486864......) n=63603: c41041(1001000999......) = 128283209792587 * c41026(7803055455......) n=190809: c123121(1000000001......) = 477137421207757 * c123106(2095832262......) n=190810: c76315(5764809157......) = 194116695512611 * x76301(2969764729......) n=190810: x76301(2969764729......) = 578449992151081 * c76286(5134004269......) n=190813: c163548(9000000900......) = 665368084375639 * c163534(1352634896......) n=190812: c63594(5293160077......) = 732320166379561 * c63579(7227931607......) n=95409: c63581(8068422073......) = 257200405271119 * c63567(3137017635......) n=190839: c115613(2332330496......) = 215795064503107 * c115599(1080808081......) n=190855: c120939(2132807881......) = 353551195661791 * c120924(6032529113......) n=190874: c90397(1099999999......) = 536721256993459 * c90382(2049480965......) n=190877: c177400(4794962348......) = 794337528431813 * c177385(6036429322......) n=190893: c112896(9009009009......) = 704104119260761 * c112882(1279499545......) n=190930: c74874(2267347477......) = 104374522388881 * c74860(2172318901......) n=190934: c95466(9090909090......) = 114369628102967 * x95452(7948709147......) n=190934: x95452(7948709147......) = 255504119118607 * c95438(3110990607......) n=190932: c54528(9901000000......) = 505149459707341 * c54514(1960013974......) n=190958: c95462(9426957325......) = 913779587804851 * c95448(1031644550......) n=190963: c186474(3927460674......) = 573974098360973 * x186459(6842574752......) n=190994: c88694(2827165633......) = 713108150467117 * c88679(3964567831......) n=190999: c190114(4712064088......) = 904847530301573 * x190099(5207577995......) n=191014: c95498(3330503430......) = 818614909926299 * c95483(4068461726......) n=191019: c124135(4832333576......) = 127516368572641 * c124121(3789579040......) n=63673: c62074(8834191067......) = 853464288122203 * c62060(1035097916......) n=191031: c123832(1554461005......) = 194599122101317 * c123817(7988016537......) n=191062: c95517(1248290332......) = 301551623047009 * c95502(4139557664......) n=191066: c94282(5334710252......) = 564221945733211 * c94267(9454985387......) n=191101: c180941(1309907755......) = 517575021114883 * x180926(2530855822......) n=191115: c97901(3556093360......) = 109088510801401 * x97887(3259823912......) n=191115: x97887(3259823912......) = 159617895288031 * c97873(2042267194......) n=191157: c127426(5312806850......) = 461011764442519 * c127412(1152423270......) n=191172: c62656(9901000000......) = 130734287463361 * c62642(7573376649......) n=191174: c93961(1099999999......) = 136723176490099 * c93946(8045453801......) n=191193: c125994(1382297894......) = 108967644401533 * c125980(1268539759......) n=191195: c152934(1019783082......) = 990017849835631 * c152919(1030065349......) n=191204: c88218(1509232994......) = 759955970418269 * c88203(1985947940......) n=191209: c189316(9000000000......) = 790532094516067 * x189302(1138473701......) n=191230: c70560(9091000000......) = 771029397490691 * c70546(1179073071......) n=191282: c75570(2735438740......) = 140550254143573 * c75556(1946235356......) n=191295: c93291(3785777514......) = 193201182748081 * c93277(1959500175......) n=191294: c94587(4628293736......) = 649955000032727 * c94572(7120944891......) n=95649: c63751(1375501367......) = 574263353395951 * c63736(2395244897......) n=191308: c87976(2233834582......) = 421422933975941 * c87961(5300695341......) n=191311: c181212(3862924819......) = 826138813579031 * x181197(4675878625......) n=191318: c89752(2336566698......) = 401640863568089 * c89737(5817552222......) n=191325: c101988(1741188439......) = 454589217849001 * x101973(3830245793......) n=191325: x101973(3830245793......) = 544303564031551 * c101958(7036966220......) n=191351: c190104(9000000000......) = 753215547882671 * x190090(1194877087......) n=191359: c163990(5679060728......) = 989143850491231 * c163975(5741390118......) n=191375: c152995(2612664630......) = 853342256791751 * c152980(3061684347......) n=191462: c95730(9090909090......) = 150670004811167 * c95716(6033655539......) n=191517: c127676(9009009009......) = 444736834831039 * c127662(2025694366......) n=191518: c92634(2610720043......) = 566286140552927 * c92619(4610248877......) n=191536: c95741(2912085033......) = 446370498755633 * c95726(6523919124......) n=191541: c109363(2610400618......) = 134682156049813 * c109349(1938193369......) n=95772: c30443(1033808384......) = 167246219713129 * c30428(6181355766......) n=191547: c127668(6265182458......) = 156666174073237 * c127654(3999065206......) n=191591: c190632(9000000000......) = 235837749370799 * x190618(3816182957......) n=191600: c76474(2899558426......) = 135521325229601 * c76460(2139558789......) n=191610: c51059(2756205606......) = 208488858411331 * c51045(1321991797......) n=191617: c189376(9000000000......) = 592085137602883 * x189362(1520051666......) n=191625: c86400(9999999999......) = 498802450056751 * c86386(2004801700......) n=191637: c125907(1288149014......) = 483859381072159 * c125892(2662238378......) n=191642: c84000(9090909091......) = 571985971017649 * c83986(1589358752......) n=191661: c123305(1216696535......) = 142420270055929 * c123290(8543001184......) n=191678: c95193(1607504485......) = 231616547335703 * c95178(6940369779......) n=63894: c20320(3060236103......) = 116591458812247 * c20306(2624751533......) n=191679: c126702(5910818163......) = 807733204814803 * c126687(7317785289......) n=191750: c69587(2083409180......) = 116483148512251 * c69573(1788592777......) n=191766: c61790(4368697638......) = 518471985438853 * c61775(8426101623......) n=191796: c58074(3970964353......) = 604613425293769 * c58059(6567774031......) n=191817: c127841(1260874614......) = 159033355122151 * c127826(7928365804......) n=191826: c63937(1000999998......) = 241467735146329 * c63922(4145481376......) n=191838: c63934(1385194144......) = 168178515100129 * c63919(8236451270......) n=191865: c102308(2355682337......) = 203286947164591 * c102294(1158796652......) n=191868: c62629(4578586273......) = 126878925767161 * c62615(3608626291......) n=191874: c63159(3753023443......) = 340492696197859 * c63145(1102233171......) n=191930: c72192(9091000000......) = 162620295231161 * c72178(5590323143......) n=191990: c75446(5188458033......) = 163693639093561 * c75432(3169614935......) n=192062: c86586(1434339172......) = 136930583693801 * c86572(1047493652......) n=192065: c151780(1568754592......) = 873523349409551 * c151765(1795893141......) n=192067: c179416(1765878601......) = 950527922612431 * c179401(1857787192......) n=192076: c92869(2792337885......) = 308192842330301 * c92854(9060359300......) n=192087: c109712(9727938516......) = 105739989907987 * c109698(9199867074......) n=192115: c119507(2040602032......) = 112371053193631 * c119493(1815949904......) n=192146: c95381(1099999999......) = 368572333410263 * c95366(2984488797......) n=192159: c116281(1000000001......) = 355366202467123 * c116266(2813998613......) n=192217: c190900(9000000000......) = 771677393311147 * x190886(1166290483......) n=64079: c63475(7022526705......) = 198998955314227 * c63461(3528926417......) n=192237: c126947(1906090495......) = 790995889907557 * c126932(2409735018......) n=192245: c153779(1226916152......) = 149131191992561 * c153764(8227092779......) n=192240: c50677(1127456837......) = 911045062677601 * c50662(1237542339......) n=96133: c95495(2340501335......) = 127265646670889 * c95481(1839067648......) n=192287: c180953(1063750810......) = 501507206632997 * x180938(2121107726......) n=192300M: c25585(1678977039......) = 692940632612101 * c25570(2422973860......) n=192306: c64094(1428583814......) = 225743553439249 * c64079(6328348219......) n=192312: c64081(1000000000......) = 134632325504233 * c64066(7427636685......) n=16029: c9781(3513175977......) = 359516857980853 * c9766(9771936696......) n=192350: c76903(4503286821......) = 495592343834251 * c76888(9086675525......) n=192363: c124705(1109999999......) = 183041962732747 * c124690(6064183225......) n=192365: c151619(8348095830......) = 303896973934391 * c151605(2747015122......) n=192387: c118354(6273983998......) = 324170824476253 * c118340(1935394404......) n=192428: c94753(1009999999......) = 114037757994661 * c94738(8856715685......) n=192434: c87461(1099999999......) = 394410523800437 * c87446(2788972234......) n=192513: c128335(2339838247......) = 385744514729797 * c128320(6065771924......) n=192516: c62874(1836767215......) = 409697103716161 * c62859(4483232121......) n=192554: c93985(7063290238......) = 237179666903237 * c93971(2978033627......) n=192561: c128372(9009009009......) = 308204747872597 * c128358(2923059774......) n=192566: c87521(1099999999......) = 431651196922441 * c87506(2548353874......) n=38525: c29041(1000010000......) = 731759343214001 * c29026(1366583166......) n=192635: c151254(2408169471......) = 405115516601441 * c151239(5944401962......) n=96321: c63327(9233804774......) = 195400375107079 * c63313(4725581908......) n=192661: c155319(1688482765......) = 240117219373123 * c155304(7031910371......) n=192670: c77065(1099989000......) = 120628083642961 * c77050(9118846680......) n=192693: c128460(9009009009......) = 113027823945763 * c128446(7970611743......) n=192692: c94757(7510464558......) = 283337179046969 * c94743(2650716218......) n=192694: c89308(4488012093......) = 659491641297077 * c89293(6805260009......) n=192723: c127458(4799632633......) = 300457912168009 * c127444(1597439254......) n=192724: c82585(1009999999......) = 363166750512721 * c82570(2781091602......) n=192727: c186480(9000000000......) = 120385100050759 * x186466(7476008240......) n=192771: c128508(9990000009......) = 615904534397071 * c128494(1622004621......) n=192803: c177943(2656149431......) = 644258799729871 * c177928(4122798839......) n=192864: c53736(7946443020......) = 384559701633409 * c53722(2066374346......) n=96433: c95028(1252525705......) = 195673284785519 * c95013(6401107372......) n=192866: c95031(3922587184......) = 264558335828557 * x95017(1482692719......) n=192866: x95017(1482692719......) = 692934184718291 * c95002(2139730947......) n=192890: c77153(1099989000......) = 834691639357201 * c77138(1317838766......) n=192903: c128600(9009009009......) = 202149105838723 * c128586(4456615809......) n=192914: c96456(9090909090......) = 146454383060663 * c96442(6207331525......) n=192936: c64294(1882680490......) = 362851922193121 * c64279(5188564191......) n=192950: c72311(2264446187......) = 636405030609451 * c72296(3558183983......) n=192952: c95031(2527012021......) = 958601800117033 * c95016(2636143622......) n=192973: c171575(2742573228......) = 273364121870071 * c171561(1003267440......) n=192978: c62985(1846711444......) = 845006887256437 * c62970(2185439518......) n=193000: c76788(2685199860......) = 214605162664001 * c76774(1251227988......) # 210157 of 300000 Phi_n(10) factorizations were cracked. -- Mar 27, 2023 (Makoto Kamada) -- n=64338: c21415(9945975135......) = 570173912707717 * c21401(1744375692......) n=193032: c55008(9999999999......) = 278697511835569 * c54994(3588119583......) n=193041: c126715(2592709339......) = 104493996731881 * c126701(2481204108......) n=193046: c82723(2849054217......) = 116741324361971 * c82709(2440484749......) n=193058: c95266(1108915888......) = 153859554261197 * c95251(7207325496......) n=193075: c154433(8929796895......) = 148810995045551 * c154419(6000764186......) n=193078: c91428(5348141481......) = 392866362946573 * c91414(1361313155......) n=193115: c142549(3273606579......) = 873638731135561 * c142534(3747094151......) n=193122: c64369(1000999998......) = 354953658622357 * c64354(2820086438......) n=193145: c154512(9000090000......) = 877527630312601 * c154498(1025618987......) n=193150: c77214(1336005693......) = 363031866166201 * c77199(3680133392......) n=193155: c101088(9009099100......) = 250057436960641 * c101074(3602811901......) n=193156: c94235(1112926450......) = 268474923240581 * c94220(4145364628......) n=193197: c128768(1447564138......) = 943354192056319 * c128753(1534486358......) n=193211: c183012(1853836690......) = 141962446122997 * x182998(1305864149......) n=193213: c191187(1529723861......) = 309190944956317 * x191172(4947505372......) n=193235: c132475(2874989038......) = 397530919804481 * c132460(7232114272......) n=193249: c156787(3496959887......) = 103218450391477 * c156773(3387921320......) n=193251: c125281(1109999999......) = 247621558176841 * c125266(4482646859......) n=193262: c95201(1099999999......) = 650013561214223 * c95186(1692272385......) n=48320: c19201(1000000000......) = 454777473233921 * c19186(2198877602......) n=193303: c175708(6435736817......) = 283421891224627 * x175694(2270726791......) n=193303: x175694(2270726791......) = 654832350899959 * c175679(3467646014......) n=193311: c125849(2054837080......) = 222174571228003 * c125834(9248750067......) n=193324: c90945(1009999999......) = 219170202792041 * c90930(4608290666......) n=193360: c77302(1239948334......) = 176997485439361 * c77287(7005457343......) n=193372: c93297(1009999999......) = 687860395310149 * c93282(1468321198......) n=193401: c108844(1543605224......) = 588814444097569 * c108829(2621547824......) n=96720: c23031(3450975748......) = 255558590807521 * c23017(1350365776......) n=193459: c159922(1253287228......) = 368421973899197 * c159907(3401771113......) n=193508: c82912(1044929418......) = 224326893136949 * c82897(4658065755......) n=193522: c79200(9090910000......) = 310245259333367 * c79186(2930233332......) n=96802: c46697(6383933102......) = 990803839901969 * c46682(6443185669......) n=193612: c95617(1009999999......) = 443841928118201 * c95602(2275584923......) n=193618: c95935(5681260620......) = 118167706349521 * c95921(4807794612......) n=193638: c63336(9100000000......) = 121952142356413 * c63322(7461943533......) n=193685: c154938(5808454573......) = 175610626858111 * c154924(3307575787......) n=193689: c129115(1289436560......) = 576674694790723 * c129100(2235986027......) n=193699: c176054(2623745467......) = 358213572729563 * c176039(7324528345......) n=48429: c32280(9990000009......) = 291626193249649 * c32266(3425618219......) n=193718: c81600(9090910000......) = 127595358292333 * c81586(7124796796......) n=96861: c63612(7805269341......) = 907860845876521 * c63597(8597429195......) n=193731: c129152(9009009009......) = 891494778921841 * c129138(1010550955......) n=193754: c88039(4829130539......) = 474742544852819 * c88025(1017210400......) n=193765: c129592(2168463179......) = 259928797924511 * c129577(8342527633......) n=193775: c147835(2580331363......) = 310337334560801 * c147820(8314601808......) n=193795: c131688(1336679417......) = 925228481415071 * c131673(1444701978......) n=193810: c77509(7321046861......) = 104489286105041 * c77495(7006504814......) n=193802: c81634(3328410459......) = 926974545622259 * c81619(3590616889......) n=193815: c100217(1652051196......) = 197281477407241 * c100202(8374081634......) n=193819: c181770(1271257110......) = 651346270349963 * x181755(1951737759......) n=193863: c129240(9009009009......) = 861512327134639 * c129226(1045720267......) n=193876: c91791(6397538200......) = 385746106557481 * c91777(1658484192......) n=193893: c110707(1289369408......) = 256500574662151 * c110692(5026770056......) n=193907: c166193(6272162702......) = 158227692385253 * c166179(3964010728......) n=193911: c127873(1109999999......) = 425622081894133 * c127858(2607947395......) n=193949: c164006(2986281450......) = 604878317683151 * c163991(4936995364......) n=193960: c71424(9999000099......) = 293101051890401 * c71410(3411451455......) n=193966: c96342(1954327182......) = 156430742247251 * c96328(1249324240......) n=193971: c118072(4788158077......) = 136678216733563 * c118058(3503234232......) n=193973: c174385(1111111111......) = 120436305253031 * c174370(9225715690......) n=193990: c73427(2945556644......) = 116573071199051 * c73413(2526789947......) n=193996: c88149(8415258000......) = 283730700133849 * c88135(2965931426......) n=194000: c76801(1000000000......) = 658895009820001 * c76786(1517692477......) n=194021: c179194(7158441581......) = 788766836903813 * c179179(9075484980......) n=194036: c96111(1866673713......) = 798693894322109 * c96096(2337157860......) n=97025: c77580(2317957097......) = 442427630308751 * c77565(5239177978......) n=64708: c27716(1560833887......) = 102162475513309 * c27702(1527795679......) n=194122: c92987(2270848770......) = 402293638957211 * c92972(5644754355......) n=194127: c129401(1033491425......) = 107415036131803 * c129386(9621478174......) n=194139: c112311(3688215024......) = 277592226927643 * c112297(1328644921......) n=194153: c187852(1646136151......) = 154868314963601 * x187838(1062926365......) n=194165: c155319(3881493276......) = 174886700433721 * c155305(2219433077......) n=194219: c193308(1290797924......) = 376056307629391 * x193293(3432459178......) n=194223: c127980(1561549704......) = 704757819413413 * c127965(2215725262......) n=194227: c176541(9223310494......) = 336870682522991 * c176527(2737938019......) n=194258: c89741(1009203220......) = 538013888494891 * c89726(1875793994......) n=194321: x193359(1559025424......) = 146289507063013 * x193345(1065712405......) n=194345: c151969(1767201395......) = 535001406544361 * c151954(3303171493......) n=194347: x192437(1257143805......) = 108583160707573 * x192423(1157770502......) n=194367: c127513(1109999999......) = 258599734603801 * c127498(4292347792......) n=194375: c155000(9999999999......) = 162081730320001 * c154986(6169726828......) n=194385: c103665(1109988900......) = 272717020125841 * c103650(4070112307......) n=194399: c191645(4514284992......) = 234927670934111 * x191631(1921563762......) n=194404: c81101(2378927251......) = 994080204245129 * c81086(2393093878......) n=194417: c193536(9000000000......) = 143021563067267 * x193522(6292757404......) n=194418: c55505(3618604272......) = 577215968339557 * c55490(6269064737......) n=194429: x182963(3306583890......) = 139022977726333 * x182949(2378444156......) n=194435: c151188(7255165112......) = 156931870113521 * c151174(4623130475......) n=194453: c166657(8536022993......) = 107627183109923 * c166643(7931103227......) n=194481: c111125(3174006360......) = 322220876249413 * c111110(9850405714......) n=194504: c94721(1000099999......) = 253887535620617 * c94706(3939145722......) n=97257: c60986(8152179900......) = 197937876859483 * c60972(4118554785......) n=194517: c129659(8010112579......) = 250794934265107 * c129645(3193889303......) n=194519: c179400(9999999999......) = 236900583803911 * c179386(4221179973......) n=194529: c127427(2444403483......) = 435443711223427 * c127412(5613592344......) n=194535: c93593(3779752173......) = 135077175142471 * c93579(2798216774......) n=194534: c93010(2094273133......) = 286059354084887 * c92995(7321113971......) n=194545: c138240(9000090000......) = 100342757830121 * c138226(8969346862......) n=194555: c154037(1834623603......) = 165302756516791 * c154023(1109856630......) n=194556: c62640(9901000000......) = 152194609655929 * c62626(6505486641......) n=194557: c168942(1030753153......) = 168367455765653 * c168927(6122045077......) n=194562: c64801(1000000000......) = 140549947864093 * c64786(7114908366......) n=194575: c151189(9756586947......) = 450846438734401 * c151175(2164059890......) n=194607: c111160(1071605208......) = 335530358686027 * c111145(3193765275......) n=194619: c125217(1109999999......) = 687826152769957 * c125202(1613779870......) n=97323: c64853(1656992630......) = 388178370477679 * c64838(4268637194......) n=194666: c96452(1382942798......) = 748229646584929 * c96437(1848286559......) n=194680: c74880(9999000099......) = 428355789342881 * c74866(2334274532......) n=64894: c31911(4846663129......) = 885349918851037 * c31896(5474291041......) n=194704: c94753(1000000009......) = 338437162775953 * c94738(2954758283......) n=194709: c126551(2598129186......) = 189576352766347 * x126537(1370492231......) n=194709: x126537(1370492231......) = 279779663170963 * c126522(4898469801......) n=194724: c64794(2567736240......) = 733998843080749 * c64779(3498283770......) n=32455: c25954(4332963751......) = 350529638961031 * c25940(1236119080......) n=194779: c179764(3597227127......) = 103836264177361 * c179750(3464326414......) n=194806: c96769(1099999999......) = 119739161023717 * c96754(9186635271......) n=194817: c111313(1109999889......) = 600010929368089 * c111298(1849966116......) n=64942: c30730(1014706803......) = 387910942516477 * c30715(2615824128......) n=194849: c193853(3079307461......) = 142563279743191 * x193839(2159958347......) n=194856: c61941(2574394708......) = 276388933569601 * c61926(9314391408......) n=194883: c113184(9009009009......) = 525120150682843 * c113170(1715609084......) n=194897: c188580(9000000000......) = 233679690068107 * x188566(3851425854......) n=194946: c64981(1098901098......) = 371701625194903 * c64966(2956406494......) n=194948: c85527(6185343027......) = 107449129675889 * c85513(5756531528......) n=194961: c119947(2846715890......) = 213054961933711 * c119933(1336141559......) n=194965: c155968(9000090000......) = 243706650458111 * x155954(3693001394......) n=194965: x155954(3693001394......) = 284386771507151 * c155940(1298584099......) n=194987: c175969(1111111111......) = 139798827936769 * c175954(7947928659......) n=195021: c125275(2563819889......) = 516316949996437 * c125260(4965593109......) n=97517: c83542(5734030713......) = 276410494613639 * c83528(2074462014......) n=195038: c96545(1099999999......) = 190597973387623 * c96530(5771310053......) n=195058: c91757(7038907854......) = 772492371446143 * c91742(9111944809......) n=195111: c104965(8741535958......) = 388685964848959 * c104951(2248997069......) n=195112: c94192(9999999999......) = 878370354778369 * c94178(1138471937......) n=195174: c55721(1198715386......) = 170409220927597 * x55706(7034334056......) n=195174: x55706(7034334056......) = 443275279855129 * c55692(1586899693......) n=97593: c65060(9009009009......) = 188585802195997 * c65046(4777140645......) n=195212: c94897(1009999999......) = 525297270911921 * c94882(1922720821......) n=195238: c91074(5173687679......) = 357063212532263 * c91060(1448955674......) n=195240: c52013(1560382615......) = 155262206205121 * c51999(1004998353......) n=195245: c146928(3746760875......) = 153801749223511 * c146914(2436097700......) n=195242: c95187(1527588175......) = 827288504582041 * c95172(1846499941......) n=195264: c64513(1000000000......) = 283953822635521 * c64498(3521699376......) n=195294: c58954(4267069022......) = 180251032817329 * c58940(2367292412......) n=195295: c154561(1111099999......) = 151373478299111 * c154546(7340123332......) n=195297: c130176(1580699539......) = 124525231346443 * c130162(1269380930......) n=195306: c63504(9100000000......) = 164979870029383 * x63490(5515824444......) n=195306: x63490(5515824444......) = 271048960830997 * c63476(2034991917......) n=195313: c183808(9000000000......) = 294163442900237 * x183794(3059523614......) n=195378: c65125(1098901098......) = 196327870199491 * c65110(5597275097......) n=195392: c94068(6024196290......) = 132203038858369 * c94054(4556775958......) n=195421: c192672(9000000000......) = 141269848325999 * x192658(6370786198......) n=195432: c61184(9999000100......) = 439540752649993 * c61170(2274874409......) n=195505: c153581(1396436398......) = 154375514802911 * x153566(9045711685......) n=195505: x153566(9045711685......) = 374388772920551 * c153552(2416127923......) n=195503: c152266(3873982074......) = 720632124844787 * c152251(5375810959......) n=97756: c48846(2608664195......) = 299886285510041 * c48831(8698844600......) n=195560: c78200(4117577679......) = 127755276440801 * c78186(3223019662......) n=195589: x194632(3461244813......) = 151969441819799 * x194618(2277592634......) n=195631: c193171(1524044396......) = 724500416642521 * x193156(2103579737......) n=195650: c60481(1000009999......) = 193651464206201 * c60466(5163968184......) n=195657: c101641(1000000000......) = 294918190164907 * c101626(3390770842......) n=195663: c115584(9009009009......) = 168163794113641 * c115570(5357282200......) n=195666: c65209(2877903603......) = 128571777379531 * c65195(2238363397......) n=195678: c55872(9990010000......) = 157461905793529 * c55858(6344397998......) n=195692: c80640(9900990099......) = 197840823402881 * c80626(5004523297......) n=195705: c104353(1001000999......) = 389159315392231 * c104338(2572213899......) n=195715: c144470(1221582267......) = 143389697983871 * c144455(8519316829......) n=195725: c156560(9999900000......) = 145565065174201 * c156546(6869711484......) n=195738: c57594(2245656692......) = 445858710443863 * c57579(5036700282......) n=195763: c194400(9000000000......) = 197307293261119 * x194386(4561412734......) n=195819: c120475(2834242759......) = 468176809100521 * c120460(6053787167......) n=195828: c65273(1009998990......) = 731760160524061 * c65258(1380232273......) n=195839: c165595(2836789820......) = 114337364889721 * c165581(2481069791......) n=195914: c93677(1099999999......) = 346883275221281 * c93662(3171095519......) n=195925: c147193(5003965353......) = 168201057248551 * x147179(2974990428......) n=195925: x147179(2974990428......) = 565484102953151 * c147164(5260962090......) # 210097 of 300000 Phi_n(10) factorizations were cracked. -- Mar 26, 2023 (Kurt Beschorner) -- n=5925: c3072(6913205416......) = 43863025793294149274559220201 * c3044(1576089494......) n=12192: c4008(8126247322......) = 469162401428727267767039337537134113 * c3973(1732075566......) -- Mar 23, 2023 (Makoto Kamada) -- n=196007: c168000(9000000900......) = 193417522121951 * c167986(4653146623......) n=196021: c163681(1111110999......) = 125712338264129 * x163666(8838519872......) n=196021: x163666(8838519872......) = 648097424490671 * c163652(1363764079......) n=196062: c63661(1854724287......) = 183859053672997 * c63647(1008775064......) n=196079: c180969(3226308579......) = 660430982303119 * x180954(4885156309......) n=196096: c97784(3359382782......) = 240435670713857 * c97770(1397206484......) n=98049: c51735(9632585107......) = 510109824272413 * c51721(1888335540......) n=98063: c84048(9000000900......) = 285404796135677 * c84034(3153416138......) n=196156: c88684(1648568158......) = 816351732802201 * c88669(2019433648......) n=196174: c86375(1233476331......) = 228602009476721 * c86360(5395737044......) n=98127: c65412(9990000009......) = 718384575909961 * c65398(1390620058......) n=98145: c52265(9797120263......) = 474470291838601 * c52251(2064854308......) n=196332: c65441(1009998990......) = 598626903108109 * c65426(1687192781......) n=196334: c96961(1854685273......) = 873307777668367 * c96946(2123747572......) n=196391: c181264(5643712681......) = 513723265630199 * x181250(1098590050......) n=196405: c142801(1111099999......) = 136276273884521 * c142786(8153290138......) n=196431: c127668(2726979998......) = 309491097102361 * c127653(8811174291......) n=196434: c56088(9990010000......) = 330537159146251 * c56074(3022356102......) n=196444: c96625(1009999999......) = 328005521944381 * c96610(3079216453......) n=196466: c93934(6998661983......) = 375232822466093 * c93920(1865151864......) n=196470: c50113(1000999998......) = 929053001548801 * c50098(1077441219......) n=196481: c193185(2846812124......) = 339320649492031 * x193170(8389740290......) n=196525: c134624(8644560084......) = 975531014671151 * c134609(8861389288......) n=196529: c193140(9000000000......) = 417955190678357 * x193126(2153340884......) n=196536: c61920(9999000100......) = 267439844617921 * c61906(3738784740......) n=196545: c104808(2607343092......) = 191202818454751 * c104794(1363653064......) n=196548: c59520(9901000000......) = 192269795700181 * c59506(5149534779......) n=196554: c58873(7167737470......) = 150150970518331 * c58859(4773687073......) n=196557: c131006(1735053843......) = 105466225859551 * c130992(1645127460......) n=196558: c93985(1099999999......) = 228911740654211 * c93970(4805345487......) n=196555: c148887(2485433827......) = 914419318061071 * c148872(2718046062......) n=196570: c71434(1156203749......) = 198724565438851 * c71419(5818121917......) n=196581: c95031(9665400232......) = 244983307888243 * c95017(3945330119......) n=32763: c21373(6155230514......) = 816545242108243 * c21358(7538137749......) n=196590: c52416(9100090999......) = 123818792210131 * c52402(7349523313......) n=196589: c193817(2359834546......) = 706361518248479 * x193802(3340831125......) n=196626: c65531(2922242275......) = 303612626672809 * x65516(9624903640......) n=196626: x65516(9624903640......) = 379618776236437 * c65502(2535412957......) n=196632: c65504(2708782746......) = 146875845652633 * c65490(1844266996......) n=196648: c96042(1374523311......) = 606596376622073 * c96027(2265960306......) n=196659: c131092(6413963406......) = 143107095284677 * c131078(4481932495......) n=196674: c65542(3416254163......) = 108060805845739 * c65528(3161418366......) n=196692: c63607(7221979478......) = 403960336153369 * c63593(1787794204......) n=196723: c195037(5561221037......) = 409690275822281 * x195023(1357420804......) n=196737: c131144(8319210148......) = 767815754456239 * c131130(1083490420......) n=196765: c142892(5475325419......) = 109614431772641 * c142878(4995077136......) n=196758: c61624(1550796627......) = 740026819561933 * c61609(2095595167......) n=196767: c131172(9990000009......) = 384560054514613 * c131158(2597773713......) n=65589: c43692(4827394434......) = 760697595584191 * c43677(6346009849......) n=196768: c80634(1270531632......) = 512686081281089 * c80619(2478186318......) n=196781: c181632(9000000000......) = 396674115522283 * x181618(2268864956......) n=196790: c71520(9091000000......) = 141112443022321 * c71506(6442380136......) n=196789: c186567(1949656554......) = 818354461276493 * x186552(2382410858......) n=65600: c25601(1000000000......) = 158230949827201 * c25586(6319876112......) n=196806: c65578(5216376617......) = 161551535647939 * c65564(3228924192......) n=196815: c104961(1109988900......) = 649560480936121 * c104946(1708830713......) n=196843: c185230(9613333104......) = 140655569927963 * x185216(6834662224......) n=196845: c95360(9009099100......) = 160194377089231 * x95346(5623854759......) n=196845: x95346(5623854759......) = 896838761377681 * c95331(6270753452......) n=196861: c168732(9000000900......) = 126369888757729 * c168718(7121950480......) n=196865: c157488(9000090000......) = 169770131048471 * x157474(5301338901......) n=196865: x157474(5301338901......) = 232189794133601 * c157460(2283192041......) n=196868: c82355(2192012195......) = 126246037483021 * c82341(1736301779......) n=196895: c154337(1111099999......) = 151921002145751 * c154322(7313669501......) n=196948: c96513(1009999999......) = 738316182036889 * c96498(1367977601......) n=196976: c90817(1000000009......) = 275038315247489 * c90802(3635857095......) n=197002: c90913(1099999999......) = 292771636417703 * c90898(3757194561......) n=197052: c65681(1009998990......) = 235544414341009 * c65666(4287934370......) n=197068: c93313(1009999999......) = 408934104329549 * c93298(2469835578......) n=197088: c65665(1000000000......) = 559925860159489 * c65650(1785950732......) n=197090: c78823(8618206824......) = 724451315155481 * c78809(1189618493......) n=197097: c131368(6747459240......) = 473871839958031 * c131354(1423899601......) n=65702: c24597(2066872637......) = 733669238725333 * c24582(2817172274......) n=197121: c131406(1269525900......) = 399841363537879 * c131391(3175073956......) n=197131: c179181(1410922362......) = 320874562176191 * c179166(4397115037......) n=197151: c131432(9009009009......) = 209384176571083 * c131418(4302621695......) n=197150: c78841(1000009999......) = 307491658804201 * c78826(3252153258......) n=197156: c94249(1009999999......) = 718252942323181 * c94234(1406189853......) n=197167: c194304(9309794922......) = 367359833920759 * x194290(2534244101......) n=197177: c196170(1755548459......) = 148594556998231 * x196156(1181435239......) n=197193: c131444(9931019150......) = 638734314624787 * c131430(1554796559......) n=197199: c131452(3427570093......) = 566516377702729 * c131437(6050257729......) n=197205: c105169(1109988900......) = 117927572027791 * c105154(9412462928......) n=98615: c71266(3913937012......) = 215604021155711 * x71252(1815335814......) n=98615: x71252(1815335814......) = 975357180728921 * c71237(1861201055......) n=197244: c65723(1078165617......) = 184100864014621 * c65708(5856385428......) n=197256: c65739(5070035537......) = 492981512299729 * c65725(1028443341......) n=197259: c128610(5627116822......) = 105381116143477 * c128596(5339777209......) n=197287: c190456(9000000000......) = 427742126789827 * x190442(2104071457......) n=197291: c194818(1363654747......) = 138864580362241 * x194803(9820032895......) n=197354: c97601(1099999999......) = 377592552896893 * c97586(2913193047......) n=197367: c131567(4475973158......) = 228417839853397 * c131553(1959554981......) n=197394: c65058(5996950326......) = 114995092222201 * c65044(5214961970......) n=197414: c82816(2137881898......) = 302543919371093 * c82801(7066352225......) n=197417: c176801(1111111111......) = 108413944166551 * x176787(1024878413......) n=197417: x176787(1024878413......) = 536897544285169 * c176772(1908890112......) n=197430: c52640(9100090999......) = 204472920390001 * c52626(4450511580......) n=197442: c56350(6524678215......) = 753234560409241 * c56335(8662213019......) n=197457: c118080(9009009009......) = 566465536870039 * c118066(1590389604......) n=65821: c56397(5306014367......) = 592569596895319 * c56382(8954246717......) n=197480: c78977(1000099999......) = 112939338876641 * c78962(8855196160......) n=197496: c60474(2411139270......) = 448363854451657 * c60459(5377639715......) n=197538: c57601(1098901098......) = 215116401910411 * c57586(5108402191......) n=197547: c107706(1900182405......) = 519232162226359 * c107691(3659600741......) n=197575: c135361(1000010000......) = 834537001799551 * c135346(1198281200......) n=197586: c65835(1594545472......) = 457358345710237 * c65820(3486424784......) n=197589: c111745(1000000000......) = 126513593354359 * c111730(7904288966......) n=197605: c158080(9000090000......) = 124812369969431 * c158066(7210895845......) n=197612: c97777(1009999999......) = 561908821877341 * c97762(1797444639......) n=197638: c80123(4749207445......) = 153139077387437 * c80109(3101238120......) n=197649: c131735(4365806271......) = 292897231878637 * c131721(1490559075......) n=197663: c196240(3987043932......) = 208727882198761 * x196226(1910163553......) n=197678: c91225(1099999999......) = 207035190922561 * c91210(5313106410......) n=197687: c163801(1111110999......) = 822726907536199 * c163786(1350522256......) n=197692: c89841(1009999999......) = 328065893471581 * c89826(3078649808......) n=197737: c195156(9000000000......) = 117548292814717 * x195142(7656427655......) n=197757: c108856(1173711501......) = 101387363165173 * c108842(1157650682......) n=197760: c52224(9999999999......) = 125354360997121 * c52210(7977385007......) n=197758: c87992(2963885720......) = 611510391609569 * c87977(4846828052......) n=65925: c35020(1156271761......) = 859330460933551 * c35005(1345549604......) n=197782: c91266(9269457222......) = 136277414811019 * c91252(6801902747......) n=197783: c195636(9656285813......) = 177638636103413 * x195622(5435915308......) n=197797: c196225(3955717615......) = 100426321213837 * x196211(3938925141......) n=197808: c60672(9999999900......) = 720793804730689 * c60658(1387359302......) n=197823: c121440(9009009009......) = 141110241829951 * c121426(6384376422......) n=197839: c192436(6061340135......) = 189374220582523 * x192422(3200720835......) n=197841: c113041(1109999889......) = 284487892667707 * c113026(3901747376......) n=197846: c80960(9999999999......) = 104258665841419 * c80946(9591528837......) n=197849: c194064(9000000000......) = 436246895741999 * x194050(2063051929......) n=197870: c77274(4176753250......) = 370156788549641 * c77260(1128374078......) n=197871: c131912(9009009009......) = 266681023723999 * c131898(3378196499......) n=197877: c129921(1109999999......) = 135296702944111 * c129906(8204191054......) n=197886: c58445(1330062833......) = 133857859404361 * x58430(9936382068......) n=197886: x58430(9936382068......) = 269259078621703 * c58416(3690268168......) n=197889: c131924(9009009009......) = 662345387079679 * c131910(1360167849......) n=197917: x193647(3098540616......) = 408051253722227 * x193632(7593508385......) n=197930: c79169(1099989000......) = 120320445960761 * c79154(9142161927......) n=197978: c89981(1099999999......) = 100968007687823 * c89967(1089454001......) n=197977: c179702(9899326585......) = 478017910328089 * c179688(2070911229......) n=197970: c52779(4596678806......) = 994373498291611 * c52764(4622688370......) # 210037 of 300000 Phi_n(10) factorizations were cracked. -- Mar 21, 2023 (Makoto Kamada) -- n=198005: c157602(1329046538......) = 182934533730281 * c157587(7265148416......) n=198001: c197098(3787858063......) = 431211116378923 * x197083(8784231016......) n=49509: c32988(4070946161......) = 358723534848409 * c32974(1134842229......) n=198038: c97745(1099999999......) = 341102106581263 * c97730(3224840828......) n=198040: c79193(6644723112......) = 822273606720161 * c79178(8080914987......) n=49513: c48703(3029497204......) = 327685655995769 * c48688(9245132183......) n=198058: c81144(9999999000......) = 202620863372929 * x81130(4935325431......) n=198058: x81130(4935325431......) = 553408008449927 * c81115(8918059291......) n=198079: c169754(3100829954......) = 870912501679249 * c169739(3560437986......) n=198093: c113185(1109999889......) = 246070451083801 * c113170(4510902808......) n=198094: c86400(9090909090......) = 391692724171841 * c86386(2320928761......) n=99045: c50386(3739560475......) = 805802532996151 * c50371(4640790171......) n=99051: c65257(9046123989......) = 503078263713079 * c65243(1798154410......) n=198131: c197064(9000000000......) = 230675198799547 * x197050(3901589788......) n=33025: c26400(9999900000......) = 499213921838551 * c26386(2003129232......) n=198170: c63937(1099988890......) = 153295532276321 * c63922(7175609580......) n=198216: c66049(1000000000......) = 225364140664129 * c66034(4437263164......) n=198224: c91380(4664458384......) = 124338263555377 * c91366(3751426352......) n=198245: c153354(2335283291......) = 183638214828361 * c153340(1271676101......) n=99129: c65361(1109999999......) = 881710736758609 * c65346(1258916279......) n=198279: c132171(3683546606......) = 263105227325827 * c132157(1400027906......) n=198283: c183734(8373174051......) = 239477628487723 * x183720(3496432674......) n=198284: c93876(3450233070......) = 652513383173149 * c93861(5287605065......) n=198292: c97846(7934416195......) = 225502027798381 * c97832(3518556472......) n=198282: c56600(1173684110......) = 895897790210557 * c56585(1310064745......) n=198306: c63096(9990010000......) = 939782003094703 * c63082(1063013546......) n=198338: c82080(9090910000......) = 350065406549293 * c82066(2596917555......) n=198351: c132228(9990000009......) = 192147931490311 * c132214(5199119205......) n=198435: c105802(2156299588......) = 288123859656751 * c105787(7483932748......) n=198465: c103994(2063358328......) = 156378551793001 * c103980(1319463766......) n=198462: c57579(9264913198......) = 261017457379009 * c57565(3549537755......) n=198473: c180415(2267305207......) = 344875656573493 * x180400(6574268620......) n=198485: c132268(5268845692......) = 731833298387311 * c132253(7199516206......) n=198496: c99207(8695716819......) = 639520085220193 * c99193(1359725366......) n=198501: c131041(1109999999......) = 811679643027613 * c131026(1367534604......) n=198517: c180452(3691870317......) = 156884416955443 * x180438(2353242207......) n=39705: c21169(1109988900......) = 780272817527551 * c21154(1422565127......) n=198545: c158832(9000090000......) = 591175658254231 * c158818(1522405375......) n=198603: c132387(3430729436......) = 126404734234231 * c132373(2714083026......) n=198602: c98593(1859229597......) = 213856417045961 * c98578(8693821879......) n=198610: c79433(7586899666......) = 144419117706361 * c79419(5253390123......) n=198615: c105907(5564649324......) = 998758792466641 * c105892(5571564792......) n=99311: c97152(9000000000......) = 373946361986837 * c97138(2406762283......) n=198636: c66209(1009998990......) = 733945425815809 * c66194(1376122739......) n=198670: c79439(2925479463......) = 267959732997241 * c79425(1091760851......) n=198681: c113513(1135537526......) = 325888886077399 * c113498(3484431579......) n=198691: x197779(5944429419......) = 345989419647437 * x197765(1718095722......) n=99345: c51251(9846326220......) = 392207656618681 * c51237(2510488016......) n=198696: c62208(9999000100......) = 194338368219601 * c62194(5145149767......) n=198705: c97716(7677591732......) = 452166974309311 * c97702(1697954996......) n=198713: c187003(2264566826......) = 129795669716837 * x186989(1744716777......) n=198746: c97014(6918373880......) = 111686384350973 * c97000(6194464903......) n=198778: c94134(7905439445......) = 119147359269251 * c94120(6635010204......) n=198774: c66087(1677225885......) = 688709763352459 * c66072(2435315969......) n=198850: c76800(9999900000......) = 307261208078801 * c76786(3254527333......) n=198857: c194559(5490238380......) = 428061244223947 * x194545(1282582446......) n=198867: c131375(4492704317......) = 295929336371413 * c131361(1518167942......) n=198868: c98063(1917158921......) = 512524741464961 * c98048(3740617314......) n=198884: c85212(1268764436......) = 356135085237401 * c85197(3562593209......) n=198891: c100800(9999999999......) = 732085592425111 * c100786(1365960497......) n=198910: c79538(1241221206......) = 107268237312241 * c79524(1157119047......) n=198936: c66088(9008498608......) = 413376304145977 * c66074(2179248911......) n=198945: c106060(2259530725......) = 325595849143321 * c106045(6939679148......) n=198961: c166305(4176882041......) = 367166362306283 * c166291(1137599320......) n=198982: c83520(9090910000......) = 479099352041059 * c83506(1897499957......) n=198993: c131255(2300051814......) = 119534777905159 * c131241(1924169563......) n=199001: c177820(5762819024......) = 146036015807639 * c177806(3946162864......) n=199008: c66233(2404269617......) = 651625848641953 * c66218(3689647398......) n=199029: c132684(9009009009......) = 238164309910627 * c132670(3782686420......) n=199040: c79326(3033831029......) = 551107591599361 * c79311(5504970491......) n=199053: c124794(1676271867......) = 229196095413031 * c124779(7313701679......) n=199101: c107568(9009009909......) = 922949896188643 * c107553(9761103985......) n=199128: c66359(7385878897......) = 842081530196377 * c66344(8770978381......) n=199155: c89589(1399280890......) = 924095804747281 * c89574(1514216256......) n=39834: c13273(1000999998......) = 517056045105331 * c13258(1935960344......) n=199196: c94300(8240625387......) = 838246127498441 * c94285(9830794461......) n=199198: c98737(1099999999......) = 658205891744761 * c98722(1671209592......) n=199230: c51059(1792677916......) = 568700170804891 * c51044(3152237345......) n=199245: c103104(9009099100......) = 513511157396311 * c103090(1754411558......) n=199263: c131539(1392630101......) = 261082218418213 * c131524(5334067212......) n=199254: c60349(9447773968......) = 995018405924401 * c60334(9495074575......) n=199296: c66049(1000000000......) = 465837065233921 * c66034(2146673321......) n=199302: c65192(9100000000......) = 612427012180681 * c65178(1485891350......) n=199351: c198400(9000000000......) = 128807627684947 * x198386(6987163851......) n=199360: c67584(9999999999......) = 488993182849921 * c67570(2045018284......) n=199389: c132924(9009009009......) = 214758163724479 * c132910(4194955317......) n=199436: c98191(1313791463......) = 476750955868409 * c98176(2755718572......) n=199446: c61339(4562615632......) = 113781745503973 * c61325(4009971557......) n=99741: c66487(4516178826......) = 117496820806999 * c66473(3843660446......) n=199484: c99706(2061188869......) = 454992520849961 * c99691(4530159892......) n=199494: c66493(1000999998......) = 215162687073619 * x66478(4652293632......) n=199494: x66478(4652293632......) = 302476974618529 * c66464(1538065381......) n=199502: c95375(1198587449......) = 387768629506837 * c95360(3090986114......) n=199511: c181153(1111111111......) = 257855964120197 * x181138(4309037857......) n=199513: c197860(9000000000......) = 538571759457883 * x197846(1671086506......) n=199538: c91863(2207461047......) = 998864694971813 * c91848(2209970037......) n=199554: c65509(1651110539......) = 117941841868801 * c65495(1399936200......) n=199577: c171018(1391832281......) = 116923444780871 * c171004(1190379127......) n=199581: c131028(1698353745......) = 507132621866557 * c131013(3348934129......) n=66528: c17265(2619636229......) = 584106227103169 * c17250(4484862697......) n=199595: c136792(5525951047......) = 378708189025871 * c136778(1459158055......) n=199614: c58753(1098901098......) = 101790100015837 * c58739(1079575615......) n=199631: c187872(9000000000......) = 118677644617289 * x187858(7583568100......) n=39933: c24188(1252081585......) = 905866903150201 * c24173(1382191557......) n=199670: c77754(3035340633......) = 110104530469721 * c77740(2756780870......) n=199689: c110587(1127878680......) = 869843282716843 * c110572(1296645847......) n=199699: c187680(9999999999......) = 654593870918003 * x187666(1527664777......) n=199704: c64881(1717577795......) = 432147825239041 * c64866(3974514494......) n=199722: c66573(1098901098......) = 139339458360379 * c66558(7886503305......) n=199732: c87648(9900990099......) = 152760158523389 * c87634(6481395538......) n=199786: c99168(1256733518......) = 739282111030487 * c99153(1699937682......) n=199791: c131005(3729937691......) = 971642643269761 * c130990(3838795793......) n=99921: c63039(2363246979......) = 150817718802391 * c63025(1566955791......) n=199862: c92210(7876577890......) = 313519385854117 * c92196(2512309683......) n=199876: c98775(1222969371......) = 686605812301361 * c98760(1781181210......) n=199901: c184512(9000000000......) = 150199653950399 * x184498(5992024457......) n=199941: c114229(1489366424......) = 329148821644987 * c114214(4524902800......) n=199958: c88800(9090909091......) = 135773321013727 * c88786(6695652005......) n=199969: c152872(1533039580......) = 898070119551991 * c152857(1707037732......) n=49992: c16644(2733333562......) = 965967114728929 * c16629(2829634178......) n=199971: c125359(5556965281......) = 895112751028627 * c125344(6208117664......) # 209978 of 300000 Phi_n(10) factorizations were cracked. -- Mar 19, 2023 (Kurt Beschorner) -- n=12207: c7476(1771046184......) = 10326528166018797350437 * c7454(1715045130......) # P-1 B1=25e6 n=12213: c7592(2152005905......) = 763235932545359903065517911 * c7565(2819581486......) # P-1 B1=25e6 n=12235: c9772(1561175305......) = 601591258998676485551127873393824231 * c9736(2595076444......) # P-1 B1=32e6 n=12261: c7865(5628488768......) = 37955669373027254564443249 * c7840(1482911212......) # P-1 B1=40e6 n=12265: c8840(8707679200......) = 1813958675305432752569322631 * c8813(4800373524......) # P-1 B1=36e6 n=12267: c7721(8908418963......) = 18405350080498464623296129 * c7696(4840124705......) # P-1 B1=47e6 n=12299: c10469(1082334852......) = 22125123861628175114991691769399 * c10437(4891881550......) # P-1 B1=28e6 n=145381: c145372(6163510656......) = 2814792192994658867 * c145354(2189685857......) # gr-mfaktc -- Mar 20, 2023 (Makoto Kamada) -- n=200011: c171421(4237486452......) = 103236183677831 * c171407(4104652362......) n=200022: c59905(1098901098......) = 302782446205819 * c59890(3629342165......) n=200071: c193144(9000000000......) = 184506649016203 * x193130(4877872991......) n=200123: c147824(1632690522......) = 195458887733957 * c147809(8353114772......) n=100059: c66699(2250918582......) = 305439336347707 * c66684(7369445631......) n=200126: c97872(1039835401......) = 363362606514287 * c97857(2861701734......) n=200129: c188497(1111111111......) = 353258510869871 * x188482(3145320146......) n=200135: c147745(1111099999......) = 295242903730711 * x147730(3763341932......) n=200135: x147730(3763341932......) = 489457686279511 * c147715(7688799335......) n=200141: c184321(1111111111......) = 410839405327159 * x184306(2704490116......) n=100071: c66683(3172945107......) = 313021124516413 * c66669(1013652069......) n=200144: c85705(6932435445......) = 991557779947841 * c85690(6991458879......) n=200148: c61526(3645154622......) = 184335247215601 * c61512(1977459372......) n=100087: c92376(9000000000......) = 121089279500359 * c92362(7432532456......) n=200223: c133467(6952949804......) = 422018404441471 * c133453(1647546583......) n=200242: c85813(1099999890......) = 143726801453663 * c85798(7653408263......) n=200245: c154549(6347235892......) = 602528491539071 * c154535(1053433319......) n=200244: c57601(1009998990......) = 695372600240869 * c57586(1452457272......) n=33378: c11092(1952407784......) = 175582401363973 * c11078(1111960976......) n=200274: c64384(3504847853......) = 210439335055813 * c64370(1665490842......) n=200275: c160194(1188829503......) = 105756471477001 * c160180(1124119864......) n=200289: c133524(9009009009......) = 313796274948253 * c133510(2870973854......) n=100145: c80105(8170052681......) = 268343663536471 * c80091(3044622918......) n=100147: c91393(1111111111......) = 940869306139849 * c91378(1180940970......) n=200339: c197987(2548166167......) = 493083434177041 * x197972(5167819461......) n=200372: c100158(2673146712......) = 113237507534849 * c100144(2360654848......) n=200393: c185318(7866774917......) = 828656491451483 * x185303(9493408908......) n=200413: c188608(9000000000......) = 113607677603879 * x188594(7921999806......) n=100219: c84457(1111110999......) = 171758517181721 * c84442(6469029997......) n=200450: c75600(9999900000......) = 154213082885401 * c75586(6484469290......) n=100247: c85910(3328572471......) = 127733340583003 * c85896(2605876004......) n=200490: c51833(3887249540......) = 801153874820251 * c51818(4852063583......) n=100251: c64585(1000000001......) = 169529923326187 * c64570(5898663677......) n=200568: c65274(4985339194......) = 189100309189969 * c65260(2636346400......) n=200620M: c34369(2798897498......) = 364149148903121 * c34354(7686129452......) n=200636: c100303(7803033333......) = 107261971832801 * c100289(7274743509......) n=200648: c85969(1000099999......) = 214525792635113 * c85954(4661910289......) n=100325: c80240(9999900000......) = 170528986027151 * c80226(5864047064......) n=200653: c199245(2323530423......) = 188453060026849 * x199231(1232949161......) n=200654: c97829(5003298024......) = 363349719383569 * c97815(1376992400......) n=200662: c78120(9090910000......) = 324012450610157 * c78106(2805728601......) n=200670: c53491(7990734712......) = 393215612372971 * c53477(2032150927......) n=200705: c158837(2906020060......) = 448435014112031 * c158822(6480359402......) n=200709: c129025(1001000999......) = 399155840974441 * c129010(2507794944......) n=200702: c94425(7026618171......) = 900585340652527 * c94410(7802279088......) n=200719: c188888(1432549662......) = 523782699271933 * x188873(2735007597......) n=200741: c199500(9000000000......) = 195890181258077 * x199486(4594410981......) n=200745: c106973(1098667416......) = 458513585755471 * c106958(2396150192......) n=100373: c79335(1099177794......) = 599634931837397 * c79320(1833078322......) n=200763: c133829(9952032012......) = 435899532648241 * c133815(2283102244......) n=200765: c160602(3202068800......) = 102134495447471 * x160588(3135149184......) n=200765: x160588(3135149184......) = 299893606532831 * c160574(1045420481......) n=200774: c86034(1165701261......) = 277206071413853 * c86019(4205179399......) n=200783: x182492(2861555123......) = 340797391077947 * x182477(8396646213......) n=200804: c94465(1009999999......) = 249847943657129 * c94450(4042458725......) n=200816: c77753(2648767400......) = 215766442144177 * c77739(1227608600......) n=200814: c66917(2091602044......) = 727131516836533 * c66902(2876511327......) n=200870: c78611(8614435259......) = 182738683778291 * c78597(4714073167......) n=200880: c51840(9999999999......) = 183028068802081 * c51826(5463642852......) n=200882: c87108(1191962818......) = 601532186448689 * c87093(1981544538......) n=200911: c194383(1104539791......) = 190545006196907 * x194368(5796739642......) n=200919: c133924(7713480278......) = 701845584255307 * c133910(1099028112......) n=200933: c197863(2239546914......) = 105872964044401 * x197849(2115315212......) n=200940L: c25063(2916565758......) = 796246614080461 * c25048(3662892509......) n=100481: c99259(1119613260......) = 205548133705801 * c99244(5446963883......) n=200964: c66973(5654780211......) = 157308229549621 * c66959(3594713530......) n=200979: c132173(2520740989......) = 653720537316907 * c132158(3855991736......) n=200997: c128029(2213517085......) = 658564974085321 * c128014(3361121790......) n=50259: c30415(1299146666......) = 100267951624237 * c30401(1295674884......) n=201048: c66996(7112318745......) = 224461084446457 * c66982(3168619969......) n=201084: c61824(9901000000......) = 762067531301389 * x61810(1299228689......) n=201084: x61810(1299228689......) = 911691991743781 * c61795(1425074149......) n=201110: c59905(1000000000......) = 175185519464411 * c59890(5708234350......) n=201134: c92656(4345987600......) = 127607979718607 * c92642(3405733410......) n=201138: c57446(1124656626......) = 135738884823277 * x57431(8285441772......) n=201138: x57431(8285441772......) = 136881345243931 * c57417(6053010187......) n=201156: c67040(2445676429......) = 288813922108381 * c67025(8468000474......) n=201164: c100551(1631379656......) = 569737091174561 * c100536(2863390292......) n=201178: c92153(2035512831......) = 125326397906543 * c92139(1624169261......) n=201188: c89856(9900990099......) = 143469733177889 * c89842(6901100238......) n=201220M: c40241(2824060999......) = 504063040279021 * c40226(5602594862......) n=201256: c91429(4965960681......) = 103703656178849 * c91415(4788607137......) n=201257: c172494(1719959129......) = 659942279515681 * c172479(2606226610......) n=201290: c80513(1099989000......) = 478161156042611 * p80498(2300456626......) # ----------------8<----------------8<----------------8<---------------- # makoto@bellatrix /cygdrive/d/factor2/repunit2 # $ ./pfgw64 -tc -q"(10^100645+1)/(10^20129+1)/4346963069583376601" # PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] # # Primality testing (10^100645+1)/(10^20129+1)/4346963069583376601 [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 0.02% and helper 0.02% (0.07% proof) # (10^100645+1)/(10^20129+1)/4346963069583376601 is Fermat and Lucas PRP! (326.5135s+0.0141s) # ----------------8<----------------8<----------------8<---------------- n=201336: c67099(4967293641......) = 181599952226857 * c67085(2735294575......) n=201349: c200222(1479966062......) = 136248574331227 * x200208(1086224989......) n=201350: c80513(1229338091......) = 351163667737801 * c80498(3500755357......) n=201380L: c40250(3962919430......) = 541097796265541 * c40235(7323850619......) n=201402: c65725(1573702688......) = 665916709915693 * c65710(2363212492......) n=201417: c134263(1112741610......) = 104227089425227 * c134249(1067612668......) n=201419: c190794(3191639889......) = 148813793901649 * x190780(2144720462......) n=201434: c92391(6598093050......) = 160622480343287 * c92377(4107826648......) n=100719: c61561(1000000000......) = 407318718917323 * c61546(2455079900......) n=201445: c161152(9000090000......) = 151416694669991 * c161138(5943921851......) n=201467: c162414(1038144463......) = 172882741159801 * c162399(6004905154......) n=201469: c190056(1288225156......) = 188924651581711 * x190041(6818724532......) n=201471: c134285(7899135367......) = 207401641788643 * c134271(3808617568......) n=201498: c58795(5453630533......) = 103031580224893 * c58781(5293164019......) n=201492: c64499(2345818544......) = 663494703161149 * c64484(3535549769......) n=201506: c98801(1099999999......) = 109676714569637 * c98787(1002947621......) n=100753: c98800(9000000000......) = 161749908993551 * c98786(5564145325......) n=100751: c83790(1895752032......) = 662395828557667 * c83775(2861962516......) n=201515: c157098(1348318903......) = 183620634048361 * c157083(7342959631......) n=201535: c151672(1190238836......) = 633486887337761 * c151657(1878868939......) n=201540M: c26855(3553978097......) = 509500547555161 * c26840(6975415658......) n=201571: c189102(2756127629......) = 193858565382413 * x189088(1421720842......) n=201571: x189088(1421720842......) = 231644249486147 * x189073(6137518397......) n=201593: c167041(1111110999......) = 177674617504231 * x167026(6253628208......) n=201593: x167026(6253628208......) = 276717976881683 * c167012(2259928422......) n=201596: c99601(1009999999......) = 416701934772421 * c99586(2423794841......) n=201605: c158394(9185445809......) = 188585091045601 * c158380(4870716851......) n=201606: c67178(8923852268......) = 243067931706139 * c67164(3671340849......) n=201635: c138089(4350400634......) = 535872951448871 * c138074(8118343392......) n=201645: c107507(7799726571......) = 114883844661361 * c107493(6789228368......) n=201647: x191003(1356107114......) = 571800465575369 * x190988(2371643949......) n=201649: c172836(9000000900......) = 378631649849797 * c172822(2376980609......) n=201678: c67225(1098901098......) = 147090699089641 * c67210(7470908124......) n=201692: c100844(9900990099......) = 248021837138809 * c100830(3991983211......) n=201706: c100852(9090909090......) = 867804089121253 * c100838(1047576198......) n=100859: c89441(1111111111......) = 204101815980107 * x89426(5443906051......) n=100859: x89426(5443906051......) = 697989798877009 * c89411(7799406323......) n=201736: c99591(6191418964......) = 700014833205353 * c99576(8844696812......) n=201778: c100218(7787902838......) = 200355239310419 * c100204(3887047259......) n=201785: c161416(2844539137......) = 119311854512801 * c161402(2384121132......) n=201788: c99109(5819953393......) = 883430332876181 * c99094(6587903060......) n=100899: c64801(1000000001......) = 318220233659569 * c64786(3142477740......) n=201802: c93270(3272505561......) = 136994911197091 * c93256(2388778920......) n=201803: c170844(3814682641......) = 366624577512397 * c170830(1040487429......) n=201820M: c40355(3498237911......) = 111585348215261 * c40341(3135033378......) n=201825: c95040(9999999999......) = 894453678027001 * c95026(1118000880......) n=201844: c100895(2358468869......) = 354904551723721 * c100880(6645361008......) n=100923: c67280(9009009009......) = 178751229181813 * c67266(5039970382......) n=201870: c53785(2131605978......) = 187434672570811 * c53771(1137252755......) n=201885: c104832(9009099100......) = 537359282569231 * c104818(1676550381......) n=201890: c74484(1374208531......) = 536319943522481 * c74469(2562292429......) n=201899: c199800(9000000000......) = 201114819034627 * x199786(4475055614......) n=100951: c100152(9000000000......) = 756483320461361 * c100138(1189715590......) n=100975: c69108(8056311939......) = 105720708676801 * c69094(7620372621......) n=201968: c93121(1000000009......) = 174044456904449 * c93106(5745658481......) n=100985: c76449(1117563479......) = 379829155660351 * c76434(2942279346......) n=100991: c91792(2339024980......) = 105235550739001 * c91778(2222656663......) n=50495: c40392(9000090000......) = 694288616742041 * c40378(1296303840......) n=201980L: c40379(1708885335......) = 887018840642141 * c40364(1926549084......) n=100997: c87532(8294329278......) = 502017220728479 * c87518(1652200150......) # 1216 of 300000 Phi_n(10) factorizations were finished. # 209937 of 300000 Phi_n(10) factorizations were cracked. -- Mar 18, 2023 (Makoto Kamada) -- n=202015: c146881(1111099999......) = 422422090431881 * c146866(2630307517......) n=202024: c101008(9999000099......) = 881201580217657 * c100994(1134700654......) n=202052: c101024(9900990099......) = 185224913449561 * x101010(5345387893......) n=202052: x101010(5345387893......) = 280890354678881 * c100996(1903015822......) n=101029: c97731(3093815811......) = 133151840574329 * c97717(2323524630......) n=202058: c97716(1973083670......) = 386356653605441 * c97701(5106897090......) n=101033: c99511(1200263282......) = 211656962263199 * c99496(5670795186......) n=202066: c99528(6414402978......) = 220565612709649 * c99514(2908160932......) n=202080: c53760(9999999999......) = 342847890117121 * c53746(2916745381......) n=101043: c66078(8042187414......) = 375296236205689 * c66064(2142890505......) n=202136: c91824(2056049736......) = 112697153123017 * c91810(1824402551......) n=202141: c191484(9000000000......) = 380536514518409 * x191470(2365081840......) n=202147: c161913(1809839627......) = 796263962194867 * c161898(2272914150......) n=101073: c57726(3730903185......) = 690605331310483 * c57711(5402366614......) n=202151: c195594(7420189676......) = 298287451352729 * x195580(2487596995......) n=101077: c99353(4686369657......) = 545459587266757 * c99338(8591598290......) n=202161: c132896(1486629908......) = 330160222887037 * c132881(4502752921......) n=101097: c65689(1001000999......) = 686310303625363 * c65674(1458525385......) n=202199: c201108(1375825704......) = 164839661729599 * x201093(8346448241......) n=202200: c53753(4338244037......) = 314953737148801 * c53739(1377422626......) n=202202: c71986(7473415304......) = 126917443653001 * c71972(5888406738......) n=101109: c67404(9009009009......) = 104342638514173 * c67390(8634062869......) n=202216: c82361(2497329550......) = 556278375897833 * c82346(4489352200......) n=67410: c15247(1237941271......) = 170214126412051 * c15232(7272846840......) n=202237: c171313(1111110999......) = 850098451448639 * c171298(1307038023......) n=202250: c80793(1559739967......) = 413596511889251 * c80778(3771163252......) n=101127: c62209(1109999999......) = 951387331433761 * c62194(1166717238......) n=202303: c200200(9000000000......) = 232841075633693 * x200186(3865297381......) n=202301: c179905(7665877300......) = 290851983731563 * c179891(2635662718......) n=202313: c201348(9000000000......) = 959192605945921 * x201333(9382891344......) n=202334: c86400(9090909091......) = 114782737130249 * c86386(7920101330......) n=202341: c134865(1274178291......) = 260782772247649 * c134850(4885975713......) n=202349: c171361(1111110999......) = 188894708149729 * c171346(5882171135......) n=202370: c68208(9999999999......) = 530397821040641 * c68194(1885377277......) n=202404: c66400(9901000000......) = 209421163504381 * c66386(4727793425......) n=202414: c101206(9090909090......) = 256719983006891 * c101192(3541177038......) n=202419: c108865(1000000000......) = 106377446129347 * c108850(9400488885......) n=202421: c199475(1278557707......) = 251549334969067 * x199460(5082731414......) n=202482: c57808(5112722076......) = 440273334373489 * c57794(1161260898......) n=202488: c55681(1000099999......) = 162031840586617 * c55666(6172243655......) n=202503: c115688(4164344500......) = 128299088599081 * c115674(3245809885......) n=202513: c198624(1083461601......) = 145960307519837 * x198609(7422987932......) n=202540M: c34541(6313639424......) = 527561592916801 * c34527(1196758730......) n=202546: c101262(1357911437......) = 893415391872659 * c101247(1519910503......) n=202555: c152438(2069643193......) = 192703433337391 * x152424(1074004317......) n=202555: x152424(1074004317......) = 226551504904511 * c152409(4740662912......) n=202558: c101278(9090909090......) = 655308842943289 * c101264(1387270931......) n=202566: c52411(4936638741......) = 386347806676651 * c52397(1277770614......) n=202575: c103671(2023112265......) = 168400332126751 * c103657(1201370709......) n=202589: c190386(1219474360......) = 201582278534081 * x190371(6049511738......) n=202619: c198739(2220911610......) = 530639062005677 * x198724(4185352660......) n=202631: c168481(1000000000......) = 132660242585443 * c168466(7538053455......) n=202647: c130681(1109999999......) = 111044029550719 * c130666(9996034946......) n=202656: c67521(1000000000......) = 561573631185409 * c67506(1780710390......) n=202673: c191973(2898963573......) = 532537646614751 * x191958(5443678192......) n=202677: c135116(9009009009......) = 210814795699351 * x135102(4273423494......) n=202677: x135102(4273423494......) = 521415511398919 * c135087(8195811979......) n=202703: c199320(9000000000......) = 250954122930373 * x199306(3586312866......) n=202704: c65280(9999999900......) = 254759175515857 * c65266(3925275656......) n=202705: c159591(7385293102......) = 699494206430081 * c159577(1055804756......) n=202720: c69120(9999999999......) = 380490870513601 * c69106(2628183952......) n=202745: c147840(9000090000......) = 145297640151751 * c147826(6194243754......) n=202749: c128010(1955267358......) = 171401797068889 * c127996(1140750792......) n=202761: c124705(1001000999......) = 110273346036361 * c124690(9077451949......) n=202768: c88687(4309850201......) = 306058087330049 * c88673(1408180466......) n=202769: c171202(2924706647......) = 408914180496683 * c171187(7152372764......) n=101391: c67587(1480899718......) = 174181918320517 * c67572(8502028985......) n=202790: c69504(9091000909......) = 790583067218491 * c69490(1149910905......) n=202806: c63927(1714129761......) = 245681787764503 * c63912(6977032271......) n=202825: c129594(2054295152......) = 374573057360951 * c129579(5484364432......) n=101417: c98611(2860033044......) = 976734573400907 * c98596(2928157887......) n=202866: c67614(7738396809......) = 131371473344281 * c67600(5890469683......) n=202860M: c22176(9999999999......) = 815302178713261 * c22162(1226539099......) n=202882: c95761(1000000000......) = 195988418191277 * c95746(5102342318......) n=202913: c195883(2217693746......) = 190683612865093 * x195869(1163022722......) n=202929: c121088(9009009009......) = 211264323285889 * c121074(4264330516......) n=202940M: c39745(2796100000......) = 112099703342881 * c39731(2494297412......) n=202944: c57594(1493171800......) = 132537175678657 * c57580(1126606020......) n=202958: c81620(3859091521......) = 229213137429487 * c81606(1683625801......) n=202995: c99637(1470885521......) = 145357166868031 * c99623(1011911247......) n=101497: c92260(9000000000......) = 874424906689951 * c92246(1029247901......) # 209893 of 300000 Phi_n(10) factorizations were cracked. -- Mar 16, 2023 (Kurt Beschorner) -- n=12163: c12139(3021313169......) = 496260125167000972637979481 * c12112(6088164284......) # P-1 B1=25e6 n=12197: c12164(1126212161......) = 10004791369113378925808671 * c12139(1125672810......) # P-1 B1=25e6 -- Mar 16, 2023 () -- # via Kurt Beschorner n=12124: c5185(1009999999......) = 2139064861096863878756665012801 * c5154(4721689455......) # 209859 of 300000 Phi_n(10) factorizations were cracked. -- Mar 17, 2023 (Makoto Kamada) -- n=203001: c134140(3929190253......) = 425078001127987 * c134125(9243457066......) n=203016: c61434(7036034502......) = 118366249278289 * c61420(5944291168......) n=203028: c57974(4458830272......) = 108524594400181 * c57960(4108589667......) n=203046: c66011(5134591703......) = 437539282448797 * c65997(1173515592......) n=203060M: c33601(2824086416......) = 346734189433061 * c33586(8144816699......) n=203077: c171053(5987877442......) = 102459288890323 * c171039(5844152841......) n=203078: c99761(1099999999......) = 329680272449051 * c99746(3336566036......) n=203083: c202120(9000000000......) = 253925869647293 * x202106(3544341509......) n=101543: c91577(2925741061......) = 135450544407517 * c91563(2160006867......) n=203096: c99404(1264909876......) = 290418772511657 * c99389(4355468708......) n=101563: c79074(2735028323......) = 278638725471877 * c79059(9815679133......) n=203125: c149979(1474936965......) = 562812251218751 * c149964(2620655400......) n=203160: c54139(1230432638......) = 480318889099921 * c54124(2561699459......) n=203181: c119565(2334589980......) = 151879864257133 * c119551(1537129356......) n=203180L: c40633(2824060999......) = 436154480385341 * c40618(6474909984......) n=203180M: c40610(3683022459......) = 557373221696441 * c40595(6607820963......) n=33865: c24961(1111099999......) = 207441335632831 * c24946(5356213102......) n=203204: c98785(1009999999......) = 626096280343321 * c98770(1613170420......) n=203206: c101591(7338548289......) = 632685344849477 * c101577(1159904895......) n=203230: c81289(1099989000......) = 263450804690401 * c81274(4175310838......) n=203241: c131752(1216910972......) = 256963089904231 * c131737(4735742292......) n=203266: c87109(1099999890......) = 760705766620339 * c87094(1446025438......) n=203291: c184794(7378579328......) = 676053272235067 * x184780(1091419808......) n=203295: c108411(2729988858......) = 185593125281281 * c108397(1470953654......) n=203314: c99868(9062563564......) = 611593298416369 * c99854(1481795759......) n=203320: c67585(1000099999......) = 131368937851841 * c67570(7612910756......) n=203328: c67571(3610194283......) = 193207879486081 * c67557(1868554374......) n=203336: c87102(1802631770......) = 101974855984289 * c87088(1767721810......) n=67776: c22524(1475426767......) = 812560234775617 * c22509(1815775254......) n=101675: c68871(8484523289......) = 428815862840401 * c68857(1978593616......) n=203402: c101691(6468996302......) = 114297815630477 * c101677(5659772469......) n=101705: c81347(8420244623......) = 267645164474161 * c81333(3146047730......) n=67804: c29040(9900990099......) = 391967992736101 * c29026(2525969028......) n=203435: c147830(2206998912......) = 175040877640471 * c147816(1260847718......) n=203458: c97279(5406494674......) = 765746562323411 * c97264(7060423044......) n=203475: c108475(2457322872......) = 808748776845151 * c108460(3038425457......) n=203479: c200376(9000000000......) = 665135630621321 * x200362(1353107484......) n=101743: c100232(3510244987......) = 151328247290719 * c100218(2319623104......) n=203493: c130921(9740593942......) = 455371787382769 * c130907(2139042033......) n=203518: c87217(1099999890......) = 143355709029373 * c87202(7673219974......) n=203519: c198744(9000000000......) = 554451340811827 * x198730(1623226302......) n=203541: c117504(9009009009......) = 347151567076081 * c117490(2595122667......) n=203552: c101730(7829253668......) = 120486386461537 * c101716(6498040067......) n=203571: c135690(2484290192......) = 127189362453787 * c135676(1953221672......) n=203580L: c24192(9999000049......) = 639699663177901 * c24178(1563077272......) n=203589: c135713(4381200592......) = 241034626384129 * c135699(1817664398......) n=101795: c81427(4420671837......) = 164887066228121 * x81413(2681030076......) n=101795: x81413(2681030076......) = 991214194127231 * c81398(2704793870......) n=203601: c135715(6228447702......) = 195198616391929 * c135701(3190825743......) n=203610: c49267(6251581444......) = 914036266614571 * c49252(6839533258......) n=203646: c67872(5586059984......) = 117051726894649 * c67858(4772300360......) n=203652: c67852(1544117449......) = 485320186286821 * c67837(3181646866......) n=101831: c100440(2131459098......) = 153707813967329 * c100426(1386695343......) n=203677: c191680(9000000000......) = 322918399783387 * x191666(2787081815......) n=203698: c90160(9090909091......) = 287973032251543 * c90146(3156861258......) n=203699: c188984(1307843065......) = 698728471129609 * x188969(1871747208......) n=203701: c197100(9000000000......) = 594368612484281 * x197086(1514211856......) n=203716: c101847(8198705576......) = 879179538529889 * c101832(9325405354......) n=203753: c185220(9000000000......) = 206814487848959 * x185206(4351726077......) n=101877: c65521(1109999999......) = 394286779681147 * c65506(2815209784......) n=203794: c92860(7676874080......) = 229008265306939 * c92846(3352225767......) n=203795: c163025(3066837894......) = 215139994157111 * c163011(1425508031......) n=203806: c101155(5397263096......) = 361803544410001 * c101141(1491766230......) n=101927: c87360(9000000900......) = 190079784589213 * c87346(4734854324......) n=203858: c101922(1238730970......) = 503280744051089 * c101907(2461312070......) n=203862: c66709(8180244402......) = 313047164453263 * c66695(2613102858......) n=203867: c202768(3078551509......) = 266113367390239 * x202754(1156857146......) n=203877: c135732(1851932546......) = 153856927916281 * c135718(1203671860......) n=203891: c199992(9000000000......) = 288303424794947 * x199978(3121711095......) n=203905: c150503(3346256140......) = 488750275711361 * c150488(6846556016......) n=203915: c153473(1111099999......) = 105512408922521 * c153459(1053051495......) n=203923: c200499(8954106418......) = 126246429864253 * x200485(7092562085......) n=203935: c163136(3170413060......) = 199088987220841 * c163122(1592460288......) n=101971: c100907(1471004058......) = 859461479962997 * c100892(1711541578......) n=101979: c67914(2259240023......) = 108903822807601 * c67900(2074527748......) n=203984: c86395(1634112407......) = 329099039378033 * c86380(4965412267......) n=40797: c27180(9999999990......) = 723602790135991 * c27166(1381973663......) # 209858 of 300000 Phi_n(10) factorizations were cracked. -- Mar 16, 2023 (Makoto Kamada) -- n=204008: c87409(1000099999......) = 181424130588793 * c87394(5512497134......) n=204020L: c40380(7795785899......) = 126742699692781 * c40366(6150875685......) n=204020M: c40394(4084565204......) = 784207856662381 * c40379(5208523696......) n=204028: c92711(7409520933......) = 316261259795009 * c92697(2342848105......) n=204030: c54384(9990010000......) = 855357064592131 * c54370(1167934470......) n=204048: c62199(6771877366......) = 237731718824497 * c62185(2848537586......) n=204049: c202036(9000000000......) = 108177279278561 * x202022(8319676793......) n=204054: c66920(9100000000......) = 470634995351419 * c66906(1933557871......) n=204057: c112320(9990000009......) = 116766260937523 * c112306(8555553573......) n=204064: c87355(1633471797......) = 174964867443521 * c87340(9335998827......) n=102037: c91633(1111111111......) = 289373652326747 * c91618(3839710706......) n=204111: c136050(1035437914......) = 287708696957359 * c136035(3598910724......) n=204120: c46648(3270413189......) = 163483203350881 * c46634(2000458225......) n=204139: c183361(1111111111......) = 863906604065363 * x183346(1286147259......) n=102085: c76766(1910374923......) = 446968532588791 * c76751(4274070285......) n=204179: c202920(9000000000......) = 223993570247827 * x202906(4017972475......) n=204180L: c26225(2571057826......) = 158687919911821 * c26211(1620197572......) n=204180M: c26240(3952674100......) = 774982015452901 * c26225(5100343003......) n=102095: c69977(1943392829......) = 723747887596511 * c69962(2685179277......) n=204203: c198638(4326049206......) = 148918977234277 * x198624(2904968384......) n=204215: c143511(1769092813......) = 330350613341761 * c143496(5355197606......) n=102117: c68069(3473323544......) = 207991649694799 * c68055(1669934129......) n=204280: c81665(7596751913......) = 448856121632801 * c81651(1692469267......) n=204289: c188149(2463278061......) = 886377061676413 * x188134(2779040848......) n=204322: c102145(2930417080......) = 149082400236293 * c102131(1965635833......) n=204323: c163201(1000000000......) = 925975514678761 * c163186(1079942162......) n=204360: c49908(2404686178......) = 508400880742561 * c49893(4729901677......) n=204380M: c37120(3540964590......) = 658779213856501 * c37105(5375039946......) n=204396: c68116(2478394770......) = 402045446041081 * c68101(6164464229......) n=204400: c69120(9999999999......) = 378553460320001 * c69106(2641634814......) n=204417: c133057(1000000001......) = 520212301155271 * c133042(1922292108......) n=102213: c66229(7984324186......) = 547591858327027 * c66215(1458079419......) n=204429: c134481(1109999999......) = 613546392189799 * c134466(1809154147......) n=204452: c100757(3588096540......) = 142309061782469 * c100743(2521340873......) n=102227: c101390(2432604524......) = 679155530073107 * c101375(3581807725......) n=204475: c163554(1018859169......) = 435178677292201 * c163539(2341243317......) n=204486: c67419(4450160645......) = 381904123971397 * c67405(1165255980......) n=34087: c33592(3471804745......) = 203569517730493 * c33578(1705463953......) n=204522: c67232(9100000000......) = 894382384369447 * c67218(1017461899......) n=204535: c154907(9093672584......) = 197748253804961 * c154893(4598610814......) n=204538: c98927(7305065654......) = 126275976865361 * c98913(5785000311......) n=204551: c194041(1111111111......) = 630209547354227 * x194026(1763082003......) n=102281: c97774(9344787074......) = 161518149671479 * c97760(5785595670......) n=204571: c203102(6366603799......) = 792674117782387 * x203087(8031804818......) n=204575: c139430(1330965245......) = 841949724305201 * c139415(1580813208......) n=204592: c96769(1000000009......) = 841407987116113 * c96754(1188484094......) n=51153: c31547(4887275002......) = 108520185933409 * c31533(4503563056......) n=204619: c201744(9000000000......) = 396253789633027 * x201730(2271271653......) n=204632: c102298(6369097843......) = 268630389932081 * c102284(2370952089......) n=102321: c68184(8703086922......) = 196072768503649 * c68170(4438702523......) n=204648: c68190(2789724127......) = 159236280544609 * c68176(1751940021......) n=204673: c175392(9999999000......) = 467388488252813 * c175378(2139547560......) n=204680: c64499(1404882530......) = 832459884713521 * c64484(1687627904......) n=204684: c66235(2418600333......) = 606815606367049 * c66220(3985725331......) n=102361: c87696(9999999000......) = 147098877164191 * c87682(6798147744......) n=204732: c60711(9586720863......) = 254403118670581 * c60697(3768318923......) n=204753: c135192(1830238346......) = 855716897075311 * c135177(2138836281......) n=204761: x202172(8689544980......) = 472117707984521 * x202158(1840546294......) n=102381: c68252(9009009009......) = 430324051783963 * c68238(2093540663......) n=204769: c188497(1111111111......) = 251226896116723 * x188482(4422739476......) n=204786: c65873(4782615502......) = 192360343228201 * c65859(2486279355......) n=204788: c102392(9900990099......) = 177230280916721 * c102378(5586511541......) n=204795: c103669(2516093177......) = 841129710198121 * c103654(2991326006......) n=204806: c87755(4327472253......) = 430425335405423 * c87741(1005394408......) n=204822: c68245(1917284402......) = 296406990019423 * c68230(6468418314......) n=204824: c102408(9999000099......) = 211019688199337 * c102394(4738420469......) n=204854: c94526(1284144980......) = 192553237156957 * c94511(6669038646......) n=204877: x188627(3308167951......) = 297675372529013 * x188613(1111334109......) n=34149: c22764(9009009009......) = 446624412720427 * c22750(2017133132......) n=102453: c60480(9009009009......) = 121091172305533 * c60466(7439856132......) n=204909: c135457(1109999999......) = 613851706207603 * c135442(1808254320......) n=204926: c101089(1099999999......) = 388489523147717 * c101074(2831479189......) n=102475: c81949(1372750775......) = 127999185250201 * c81935(1072468370......) n=204956: c102469(6038484781......) = 317625917311909 * c102455(1901131001......) n=102479: c94563(2437148085......) = 624003456901397 * c94548(3905664398......) n=204975: c109183(9134316821......) = 248131164571201 * c109169(3681245294......) n=204984: c62202(1250879211......) = 163286288369569 * c62187(7660650653......) n=205004: c100465(1009999999......) = 213345722847149 * c100450(4734100063......) n=102515: c67195(4389624447......) = 132119029923161 * c67181(3322477049......) n=205042: c101699(6488666210......) = 437791059930611 * c101685(1482137668......) n=205052: c102524(9900990099......) = 231379552089781 * c102510(4279111965......) n=205059: c131937(1109999999......) = 557572869470311 * c131922(1990771181......) n=205071: c128633(3183976075......) = 865304657772031 * c128618(3679601221......) n=68363: c67728(9000000000......) = 267624383076031 * c67714(3362922278......) n=205092: c68032(1288206230......) = 255967155360181 * c68017(5032701281......) n=205095: c98560(9999999999......) = 141603380292991 * c98546(7061978308......) n=205114: c77616(9999999999......) = 137838424079357 * c77602(7254871104......) n=205144: c102568(9999000099......) = 338645288448769 * c102554(2952647044......) n=102581: c97159(1096692983......) = 801827775571079 * c97144(1367741323......) n=102582: c33093(1550329108......) = 925093098837757 * c33078(1675862796......) n=205184: c87540(3655457094......) = 554803739427841 * c87525(6588739107......) n=205190: c76139(7381631237......) = 460553267067851 * c76125(1602774698......) n=205197: c136796(9009009009......) = 754532980198003 * c136782(1193984788......) n=205210: c82075(5360282831......) = 321837330919361 * c82061(1665525505......) n=102609: c63073(1001000999......) = 226361341499203 * c63058(4422137602......) n=205232: c100788(9825954383......) = 210176987872769 * c100774(4675085737......) n=205260L: c24800(3952634573......) = 700714351076521 * c24785(5640864308......) n=205271: c186591(1536354290......) = 917030196801973 * x186576(1675358452......) n=205283: c189480(9000000000......) = 746583316376431 * x189466(1205491711......) n=205293: c124388(2862765437......) = 138923983284439 * c124374(2060670425......) n=205300M: c41033(9273949080......) = 142037002293301 * c41019(6529248668......) n=205299: c136837(5105257402......) = 461459675112013 * c136823(1106327958......) n=205315: c149268(4083512922......) = 314442541087511 * c149254(1298651546......) n=205331: c175976(2493938699......) = 138794767019483 * c175962(1796853550......) n=205332: c67194(9643884398......) = 779463448644169 * c67180(1237246520......) n=205361: c189552(9000000000......) = 987995549642401 * x189537(9109352773......) n=205378: c99111(2408263379......) = 250596169144637 * c99096(9610136452......) n=205390: c72851(1341560961......) = 100220125261961 * c72837(1338614332......) n=102699: c68455(4863704307......) = 173998692922519 * c68441(2795253358......) n=68469: c44009(8356554139......) = 316513305577747 * c43995(2640190472......) n=41082: c13266(5534642578......) = 605731435741921 * c13251(9137122909......) n=205454: c100279(6482125356......) = 176880623425997 * c100265(3664689343......) n=205461: c133050(1014994835......) = 127619373271609 * c133035(7953297444......) n=102731: c96655(3888367029......) = 321585840144551 * c96641(1209122587......) n=205462: c96649(2274698799......) = 538170660297623 * c96634(4226723912......) n=205470: c54720(9999999990......) = 185410635375961 * c54706(5393433860......) n=205475: c164350(8517490015......) = 308163527910401 * x164336(2763951358......) n=205475: x164336(2763951358......) = 596902669020401 * c164321(4630489193......) n=205484: c100458(9830439517......) = 341085119457529 * c100444(2882107414......) n=102743: c101808(9000000000......) = 121650736753921 * c101794(7398228929......) n=205510: c82201(1099989000......) = 749033435436491 * c82186(1468544591......) n=22835: c18245(1153398935......) = 572642118306991 * c18230(2014170627......) n=205528: c98209(1000099999......) = 194584441108457 * c98194(5139670953......) n=205527: c117403(9118851872......) = 386925637440637 * c117389(2356745325......) n=205534: c86105(3205122125......) = 109278302116019 * c86091(2932990414......) n=205535: c143995(2189424698......) = 162442989420911 * c143981(1347811134......) n=205555: c140771(1657355344......) = 233926559497681 * c140756(7084938744......) n=205557: c124540(3574465141......) = 844040380530667 * c124525(4234945654......) n=102781: c88068(1044432123......) = 165299310055391 * c88053(6318430024......) n=205560: c54714(8107926227......) = 206202036237121 * c54700(3932030146......) n=102783: c68520(9009009009......) = 116689418204929 * c68506(7720502122......) n=102785: c80641(1111099999......) = 486179900209111 * c80626(2285368028......) n=205574: c95021(8347259254......) = 112441817652007 * c95007(7423625327......) n=102787: c95041(1111111111......) = 418223005386919 * c95026(2656743165......) n=205587: c134147(1481395892......) = 321355119829267 * c134132(4609840643......) n=205591: x203019(1319263853......) = 173236526734637 * x203004(7615390807......) n=205604: c88033(1000000000......) = 215815218213169 * c88018(4633593535......) n=102813: c66859(5398123787......) = 324529781465161 * c66845(1663367769......) n=205648: c102808(2211313285......) = 374097332112337 * c102793(5911064034......) n=205670: c81120(9091000000......) = 404734261940531 * c81106(2246165164......) n=205684: c102834(1925475617......) = 598517335927649 * c102819(3217075767......) n=68564: c33601(1009999999......) = 723178620441229 * c33586(1396612083......) n=102851: c88092(7766326757......) = 266607281606849 * x88078(2913021246......) n=102851: x88078(2913021246......) = 297096780917441 * c88063(9804957284......) n=205715: c164568(9000090000......) = 107829526223921 * c164554(8346591435......) n=205751: c145152(9999999000......) = 374707651957003 * c145138(2668746941......) n=205758: c55441(1000999998......) = 819367840137169 * c55426(1221673526......) n=205790: c75936(9091000000......) = 166495067905921 * c75922(5460221803......) n=102897: c66097(1000000001......) = 249559754557879 * c66082(4007056357......) n=205801: c204093(5606610667......) = 202178671902881 * x204079(2773096991......) n=205812: c68593(1000000999......) = 383212120387429 * c68578(2609523412......) n=205841: c201007(2186148079......) = 102934296698867 * x200993(2123828646......) n=205844: c102903(3474394250......) = 177930531996229 * c102889(1952668950......) n=205848: c68534(1979638397......) = 375498300264481 * x68519(5272030248......) n=205853: c193714(6298534118......) = 214084338102559 * x193700(2942080758......) n=205848: x68519(5272030248......) = 697449968775649 * c68504(7559008508......) n=102933: c68600(1365187811......) = 138896117538751 * c68585(9828840688......) n=205867: c204113(1836871634......) = 766559599292519 * x204098(2396254167......) n=205890: c54872(1128741346......) = 119587107847771 * c54857(9438654106......) n=205907: c185445(4069518233......) = 374462394838039 * x185431(1086762860......) n=205908: c68633(1009998990......) = 205149502054009 * c68618(4923233933......) n=102955: c80737(1111099999......) = 416386080606481 * c80722(2668436942......) n=205936: c100795(4855854023......) = 607877255358721 * c100780(7988214693......) n=205941: c130022(4960054866......) = 109273463932999 * c130008(4539121108......) n=34325: c27440(9999900000......) = 790209618638551 * c27426(1265474345......) n=205964: c89992(3470863494......) = 622970580397969 * c89977(5571472560......) n=205997: c183601(1111111111......) = 931451210586997 * x183586(1192881708......) # 209836 of 300000 Phi_n(10) factorizations were cracked. -- Mar 13, 2023 (Makoto Kamada) -- n=206018: c102341(1099999999......) = 839075994274081 * c102326(1310965880......) n=103041: c68036(3112926256......) = 389609348091049 * c68021(7989865417......) n=206080: c67584(9999999999......) = 919713598612481 * c67570(1087295003......) n=206093: x195209(8484994953......) = 161963227970083 * x195195(5238840358......) n=206102: c95113(1099999999......) = 104734524401209 * c95099(1050274497......) n=103053: c68681(2450913660......) = 135742747372987 * x68667(1805557724......) n=103053: x68667(1805557724......) = 180976109615881 * c68652(9976773884......) n=25765: c20597(1583867830......) = 183302257113281 * c20582(8640743736......) n=206140L: c37440(3540964590......) = 367414843783021 * c37425(9637510977......) n=206193: c119029(2648729568......) = 102612958857631 * c119015(2581281738......) n=103097: c102158(3847480160......) = 483203064877493 * c102143(7962449827......) n=206201: c200584(3649392380......) = 232395869405209 * x200570(1570334442......) n=206204: c103100(9900990099......) = 629002975261901 * c103086(1574076830......) n=206227: c166266(8979668860......) = 175426419701947 * c166252(5118766532......) n=206222: c101946(2051560183......) = 998731253706929 * c101931(2054166399......) n=206228: c90720(9900990099......) = 590398095422521 * c90706(1677002377......) n=206248: c84672(9999000099......) = 415461987932377 * c84658(2406718397......) n=206269: c174086(8464344151......) = 164951990927641 * c174072(5131398598......) n=51567: c34376(9009009009......) = 410945522525557 * c34362(2192263576......) n=103137: c66473(1466264832......) = 363492298308079 * c66458(4033826409......) n=206282: c103117(2609503204......) = 283589192042329 * c103102(9201701892......) n=206322: c68000(9100000000......) = 274211697855889 * c67986(3318603863......) n=206327: c187539(1435151196......) = 175339343329723 * x187524(8184992423......) n=206330: c80572(1140023487......) = 833503545674291 * c80557(1367748815......) n=206350: c82513(1320485995......) = 366192158521201 * c82498(3605992004......) n=206367: c113754(1818969782......) = 103269064711009 * x113740(1761388841......) n=206367: x113740(1761388841......) = 601803796831441 * c113725(2926849000......) n=206382: c60321(1098901098......) = 247491914323567 * c60306(4440149496......) n=206415: c99360(9999999990......) = 854157171063241 * c99346(1170744721......) n=206431: c194272(9000000000......) = 211572380394689 * x194258(4253863374......) n=206445: c110088(8121874496......) = 114444412123711 * x110074(7096785545......) n=206445: x110074(7096785545......) = 285958472615401 * c110060(2481753899......) n=103229: c88467(1810165505......) = 126155053459289 * c88453(1434873559......) n=206459: c186320(9999999999......) = 559412253585769 * x186306(1787590446......) n=206500L: c34788(2267089958......) = 135439769703001 * c34774(1673873164......) n=103253: c101859(1111934399......) = 739111840843613 * c101844(1504419680......) n=206513: c204272(1548980166......) = 257075579313997 * x204257(6025388215......) n=206510: c81408(9091000000......) = 754857595605121 * c81394(1204333115......) n=103259: c93262(1712223676......) = 566390816170427 * c93247(3023042795......) n=206520: c55040(9999000100......) = 649004395284241 * c55026(1540667547......) n=103269: c66417(1109999999......) = 641274354681481 * c66402(1730928411......) n=206547: c124961(1000000000......) = 753846572648599 * c124946(1326529875......) n=206560: c82561(1000000000......) = 247765273752961 * c82546(4036078118......) n=103279: c91201(1111111111......) = 761160782032751 * c91186(1459758749......) n=206563: c169204(3637370793......) = 224201030775947 * c169190(1622370236......) n=103283: c102528(9000000000......) = 479799267830161 * c102514(1875784438......) n=206590: c81216(9091000000......) = 117103465477091 * c81202(7763220296......) n=103295: c81201(4497237022......) = 602395497558521 * c81186(7465588704......) n=206594: c101297(1099999999......) = 176882287849303 * c101282(6218825035......) n=206615: c156241(1000000000......) = 280850708325361 * c156226(3560610567......) n=206621: c205687(2177895330......) = 212104092798919 * x205673(1026804952......) n=206631: c137700(9999999999......) = 106075621520893 * c137686(9427236773......) n=206630: c82649(1099989000......) = 483186099455051 * c82634(2276532792......) n=206637: c137744(4495127078......) = 698952677665681 * c137729(6431232359......) n=206640: c46068(3124585795......) = 250792588609921 * c46054(1245884422......) n=206645: c160685(1016559405......) = 320799830486711 * c160670(3168827751......) n=34441: c29975(1434400745......) = 609728390896351 * c29960(2352524118......) n=103327: c85339(1075333576......) = 363258508657493 * c85324(2960243327......) n=206692: c103333(7553232091......) = 147740196328909 * c103319(5112509851......) n=103347: c68855(2638624034......) = 810385996709881 * c68840(3256008920......) n=206708: c99947(1125608474......) = 686849383741601 * c99932(1638799569......) n=206709: c137804(9009009009......) = 942898000268209 * c137789(9554595519......) n=103359: c68121(1109999999......) = 494344875123403 * c68106(2245395989......) n=206748: c68899(4836787602......) = 113491684765441 * c68885(4261799102......) n=206754: c64821(2230937800......) = 335657188950331 * c64806(6646477041......) n=206775: c110138(5910456634......) = 135231407878951 * c110124(4370624197......) n=206782: c103378(2691241267......) = 365056701683197 * c103363(7372118510......) n=206797: c205660(9000000000......) = 429825254163917 * x205646(2093874176......) n=206800: c73593(1221108556......) = 847761024237601 * c73578(1440392423......) n=206804: c92146(3674685304......) = 900412774402961 * c92131(4081111917......) n=206817: c127238(1467052163......) = 240488870392759 * c127223(6100291299......) n=206823: c135778(3681444058......) = 911910540928027 * c135763(4037067116......) n=206832: c66225(3485787257......) = 983101811126689 * c66210(3545703220......) n=206848: c102375(5611433903......) = 647775348692993 * c102360(8662623415......) n=103432: c44278(2958806306......) = 179308459949249 * c44264(1650120863......) n=51717: c34452(3336487849......) = 170323623199357 * c34438(1958910799......) n=206862: c65912(9100000000......) = 827635942401481 * c65898(1099517255......) n=206874: c68888(3226297110......) = 116511287643847 * c68874(2769085447......) n=206875: c165000(9999999999......) = 211827591223751 * x164986(4720820334......) n=206877: c125344(1000162273......) = 221192314523203 * c125329(4521686367......) n=206875: x164986(4720820334......) = 653250154020001 * c164971(7226665474......) n=206883: c136067(5489222335......) = 595481213425591 * c136052(9218128483......) n=206892: c59034(9666860326......) = 460172106473689 * c59020(2100705407......) n=206912: c99841(1000000000......) = 121761947431681 * c99826(8212746437......) n=206908: c90803(1007332784......) = 640547767751009 * c90788(1572611498......) n=103465: c82751(1753930340......) = 192321846178481 * c82736(9119766553......) n=206932: c94029(2336159422......) = 308156730889261 * c94014(7581075433......) n=206952: c68971(4832498200......) = 829943507473009 * c68956(5822683298......) n=206973: c120960(9990000009......) = 135438354677107 * x120946(7376049446......) n=206973: x120946(7376049446......) = 160684179011929 * c120932(4590401800......) n=103489: c100656(9000000000......) = 223197460272403 * c100642(4032303946......) n=206989: c206080(9000000000......) = 115726601476403 * x206066(7776950057......) n=206989: x206066(7776950057......) = 154456983910763 * x206052(5035026491......) n=206996: c103490(2657321193......) = 895033208698081 * c103475(2968963797......) n=103527: c68990(1196800241......) = 763743942486757 * c68975(1567017654......) n=207076: c103536(9900990099......) = 102764979700949 * c103522(9634595489......) n=207082: c101279(1017905256......) = 941504580129649 * c101264(1081147429......) n=207088: c86681(6353769364......) = 191341639389601 * c86667(3320641228......) n=207102: c59160(9100000909......) = 855368083564009 * c59146(1063869588......) n=207123: c118252(5982361647......) = 307293692680969 * c118238(1946789598......) n=207122: c103550(2724339842......) = 520308298032689 * c103535(5236010750......) n=103571: c92148(3498877425......) = 169969497689317 * c92134(2058532544......) n=207158: c88766(1169313120......) = 377060248910927 * c88751(3101130719......) n=103586: c44101(1000000000......) = 463690063125437 * c44086(2156612960......) n=207186: c59175(9977712621......) = 835453371573451 * c59161(1194287193......) n=207220M: c38209(2796097203......) = 336568272555061 * c38194(8307667216......) n=207244: c102705(1009999999......) = 513089197431169 * c102690(1968468650......) n=207263: c171349(4392129237......) = 259999191718169 * c171335(1689285727......) n=103641: c68345(1281106107......) = 717883025862883 * c68330(1784561079......) n=207299: c198237(3651892393......) = 309499004860693 * x198223(1179936715......) n=207330: c55275(4389160810......) = 219732648951961 * c55261(1997500522......) n=207340L: c35513(3183743257......) = 487228096810561 * c35498(6534399963......) n=103671: c69102(8030204508......) = 768396820725361 * c69088(1045059569......) n=207355: c163969(1111099999......) = 170295701983111 * c163954(6524533426......) n=207363: c127291(1205613820......) = 117405169449907 * c127277(1026883080......) n=207399: c137203(1194691628......) = 296304363892963 * c137188(4031974462......) n=207424: c88698(3708493153......) = 236133357335233 * c88684(1570507951......) n=207427: c185735(2935271898......) = 970306168310293 * x185720(3025098668......) n=207456: c69121(1000000000......) = 104231142621889 * c69106(9594061571......) n=207471: c125708(4997946993......) = 644899571304187 * c125693(7749961724......) n=207477: c138312(9990000009......) = 849453740923969 * c138298(1176049916......) n=207483: c126720(9009009009......) = 215993348884471 * c126706(4170965937......) n=207502: c97354(3648644930......) = 238162474769801 * c97340(1531998243......) n=207540L: c27618(8151496482......) = 106169959768681 * c27604(7677780513......) n=207542: c101192(8848300465......) = 236193608938201 * c101178(3746206557......) n=207548: c91514(9540906737......) = 172725755541769 * c91500(5523731367......) n=207554: c102937(1175196780......) = 150112819876133 * c102922(7828756941......) n=207564: c59115(1646046132......) = 128908958289469 * c59101(1276905929......) n=207566: c102162(1261790138......) = 100581564493367 * c102148(1254494444......) n=103783: c102154(5474200045......) = 155320679260213 * c102140(3524450234......) n=207608: c103781(4743286900......) = 158515900994377 * c103767(2992309838......) n=103805: c76609(1111099999......) = 131542711420511 * c76594(8446686159......) n=207615: c110700(9479464822......) = 168774029117431 * c110686(5616660852......) n=207616: c103680(9999999999......) = 105062761967873 * c103666(9518120228......) n=207614: c94351(6639466097......) = 709238397571771 * c94336(9361402485......) n=207620L: c35569(2798897498......) = 123684762090121 * c35555(2262928311......) n=207623: c191634(1667222716......) = 255080365353347 * x191619(6536068403......) n=207651: c131113(1109999999......) = 829988548600027 * c131098(1337367849......) n=207688: c95793(8146196942......) = 347347065992057 * c95779(2345261480......) n=207690: c44352(9100091910......) = 244170939782491 * c44338(3726934875......) n=207691: c185618(4567537236......) = 667862696065951 * x185603(6839036322......) n=103849: c100228(3390909081......) = 229033783073243 * c100214(1480527910......) n=207704: c88993(1000099999......) = 220806103950713 * c88978(4529313194......) n=51927: c32753(1254469627......) = 135896686735477 * c32738(9231053805......) n=34619: c31922(2228917554......) = 442621058813467 * c31907(5035724149......) n=207714: c63878(2382739459......) = 720717657394099 * c63863(3306065052......) n=103859: c86401(1111110999......) = 863340116837213 * c86386(1286991045......) n=103877: c102816(9000000000......) = 925806660460547 * c102801(9721252162......) n=103893: c69248(9035514478......) = 106427537888809 * c69234(8489827593......) n=207793: c201060(9000000000......) = 437436298784467 * x201046(2057442426......) n=207812: c94441(1009999999......) = 120897161111101 * c94426(8354207747......) n=207822: c65592(9100000000......) = 942445847699011 * c65577(9655727193......) n=103917: c60720(9009009009......) = 194992516373359 * x60706(4620181931......) n=103917: x60706(4620181931......) = 205180085975239 * c60692(2251769176......) n=207883: c191871(3375454810......) = 404596590680803 * x191856(8342766320......) n=207887: c206976(9000000000......) = 119882836581961 * x206962(7507329870......) n=51976: c25328(3391608722......) = 148811482879009 * c25314(2279131056......) n=207935: c131315(5216987121......) = 425835802633151 * c131301(1225117073......) n=103968: c32827(1374047269......) = 622138667542849 * c32812(2208586833......) n=208000: c76801(1000000000......) = 982907069664001 * c76786(1017390179......) # 209779 of 300000 Phi_n(10) factorizations were cracked. -- Mar 11, 2023 (Kurt Beschorner) -- n=7671: c5091(1890155130......) = 674395585663400091968059519 * c5064(2802739476......) # ECM B1=1e6, sigma=3409682457607698 n=12032: c5831(4263966992......) = 92983911220947001823535969927169 * c5799(4585704060......) # P-1 B1=60e6 n=12049: c12038(8696853620......) = 3372749981360027032747859544183787 * c12005(2578564574......) # P-1 B1=20e6 n=12067: c10927(6438431424......) = 89906797410807096964226575517 * c10898(7161228750......) # P-1 B1=25e6 n=12281: c12281(1111111111......) = 248827112460081163452938551 * c12254(4465394064......) # B1=25e6 # 209725 of 300000 Phi_n(10) factorizations were cracked. # 19982 of 25997 R_prime factorizations were cracked. -- Mar 11, 2023 (Makoto Kamada) -- n=208011: c138672(9009009009......) = 101761587161809 * c138658(8853054733......) n=208014: c67392(9100000000......) = 156943186724767 * c67378(5798276554......) n=208013: c192000(9000000000......) = 690794335595729 * x191986(1302847973......) n=208015: c166395(5199927563......) = 762507608692241 * c166380(6819509082......) n=208020M: c27723(3040488650......) = 164706056046121 * c27709(1846009019......) n=208023: c138680(9009009009......) = 141093008897803 * c138666(6385156202......) n=208032: c62720(9999999999......) = 622481108537377 * c62706(1606474455......) n=208050: c51841(1000009999......) = 116174080582201 * c51826(8607858095......) n=208075: c134393(7509235889......) = 572743528364351 * c134379(1311099212......) n=208084: c104040(9900990099......) = 354842061369269 * c104026(2790252672......) n=208090: c83221(6987233180......) = 134541741486241 * x83207(5193357171......) n=208090: x83207(5193357171......) = 209014753000451 * c83193(2484684500......) n=208100M: c41585(2233477385......) = 426307240323101 * c41570(5239126091......) n=208103: c171343(6061344767......) = 522455053112791 * c171329(1160165784......) n=208112: c104048(9999999900......) = 821668179869297 * c104034(1217036286......) n=52029: c33099(2420455540......) = 728900549796889 * c33084(3320693805......) n=104067: c66954(4007837095......) = 890445780523441 * c66939(4500933333......) n=208140M: c27733(4516747809......) = 376792502601841 * c27719(1198736115......) n=208144: c104055(7873428640......) = 411007624628593 * c104041(1915640530......) n=208148: c97921(1009999999......) = 218122224446089 * c97906(4630431413......) n=104079: c69373(2309745643......) = 362317444713013 * c69358(6374922536......) n=208160: c83190(4370368920......) = 696772393894081 * c83175(6272304929......) n=208167: c138776(9009009009......) = 138036747150271 * c138762(6526529489......) n=29739: c18921(1109999999......) = 636964381740667 * c18906(1742640611......) n=208180L: c35664(3537460769......) = 899156499221681 * c35649(3934199188......) n=208196: c95031(1772629396......) = 188299014328121 * c95016(9413906933......) n=208204: c104100(9900990099......) = 108695762462429 * x104086(9108901648......) n=208203: c138788(1387641732......) = 503757504107071 * c138773(2754582752......) n=208204: x104086(9108901648......) = 542590149128609 * c104072(1678781242......) n=208215: c95040(9990000009......) = 143842785864121 * c95026(6945082403......) n=208212: c69387(1239507875......) = 809064339675649 * c69372(1532026335......) n=208230: c50394(1227276621......) = 282710925794881 * c50379(4341100785......) n=208239: c135344(3200301205......) = 624781210912129 * c135329(5122275045......) n=208241: c189200(9999999999......) = 476353545248923 * x189186(2099281111......) n=208290: c54059(1435414624......) = 100783730331211 * c54045(1424252327......) n=208292: c86688(9900990099......) = 281017801671041 * c86674(3523260818......) n=208322: c104154(1897336020......) = 970415325076019 * c104139(1955179366......) n=208328: c104160(9999000099......) = 316000216437361 * c104146(3164238370......) n=104163: c69429(7572625534......) = 490932440444791 * c69415(1542498500......) n=208330: c81988(3384134571......) = 156220105646651 * c81974(2166260583......) n=104168: c50162(7739958456......) = 363974351520401 * c50148(2126512053......) n=208339: c206856(9000000000......) = 272149863524947 * x206842(3307001474......) n=208366: c104177(4362931313......) = 864644814635237 * c104162(5045923181......) n=104185: c81841(1111099999......) = 199757297764481 * c81826(5562249852......) n=208375: c166591(5690111678......) = 569917137718751 * c166576(9984103479......) n=208398: c67891(2183317058......) = 149462022574219 * c67877(1460783830......) n=104203: c94703(1575220561......) = 175094483536039 * c94688(8996403137......) n=208404: c59453(8141125622......) = 239181947173009 * c59439(3403737497......) n=208402: c102783(6589663869......) = 507434857921561 * c102769(1298622624......) n=208414: c104195(2611328475......) = 221858986175371 * c104181(1177021729......) n=208420M: c39168(3540999964......) = 725874544495801 * c39153(4878253399......) n=208438: c102947(3701540706......) = 257332623573797 * c102933(1438426521......) n=208442: c96183(4873254580......) = 112646189162651 * c96169(4326160180......) n=208451: c206898(3597966429......) = 114696271386733 * x206884(3136951520......) n=208451: x206884(3136951520......) = 560449456921351 * x206869(5597206816......) n=208450: c75576(1685339239......) = 916565526295651 * c75561(1838754776......) n=104241: c69483(9897482093......) = 172181430010231 * c69469(5748286614......) n=208495: c133034(7212760040......) = 101527702740521 * c133020(7104228546......) n=208500M: c27591(1429599412......) = 110444125714501 * c27577(1294409642......) n=208510: c80416(9091000000......) = 110956984300681 * c80402(8193265216......) n=208528: c104240(7506529079......) = 249381437607793 * c104226(3010059269......) n=208546: c96097(1000000000......) = 780370342411739 * c96082(1281442855......) n=208555: c163489(1111099999......) = 242108743654231 * c163474(4589260111......) n=208561: c205617(2974860647......) = 475221315791813 * x205602(6259947835......) n=208578: c69525(1098901098......) = 250028625428893 * c69510(4395101148......) n=208585: c153985(1111099999......) = 156897992428841 * c153970(7081671236......) n=208592: c104269(2639559854......) = 119456752331041 * c104255(2209636376......) n=208597: x201363(7203269612......) = 419739459127721 * x201349(1716128769......) n=104303: c101435(1586094485......) = 164418385759717 * c101420(9646697832......) n=104313: c60460(4807615980......) = 612555398580973 * c60445(7848459080......) n=208630: c80634(1117301133......) = 869558621547641 * c80619(1284906049......) n=208644: c69535(1228779435......) = 526100103380821 * c69520(2335638079......) n=208654: c104326(9090909090......) = 146378520811477 * c104312(6210548542......) n=208663: c165005(2094984117......) = 259301449935347 * c164990(8079338231......) n=208675: c156801(1000010000......) = 359848283254601 * c156786(2778976715......) n=208672: c104307(9077139969......) = 903574488258017 * c104293(1004581258......) n=104335: c64793(1797114008......) = 737706812494961 * c64778(2436081621......) n=104343: c69535(2814310770......) = 123083032016041 * c69521(2286514009......) n=208682: c103493(7639388101......) = 830109462496921 * c103478(9202868352......) n=208692: c57592(2930737186......) = 181960950375469 * c57578(1610640733......) n=104371: c97425(5048677359......) = 399261413931119 * c97411(1264504202......) n=208750: c82987(4473309640......) = 441241074040001 * c82973(1013801729......) n=208767: c124800(9009009009......) = 773930577786991 * c124786(1164059060......) n=208785: c107520(9009099100......) = 326152064671441 * c107506(2762238868......) n=208795: c167023(8471877256......) = 272385966415351 * c167009(3110247333......) n=208806: c64208(1416051857......) = 829501141620373 * c64193(1707112608......) n=104403: c64225(1109999999......) = 963846179715043 * c64210(1151636042......) n=208812: c69583(1284421195......) = 587182792321369 * c69568(2187429897......) n=208821: c136149(1590938361......) = 255992993584591 * c136134(6214773066......) n=208854: c67680(9990010000......) = 320499487135441 * c67666(3117012788......) n=208875: c111195(2393770451......) = 881447915193751 * c111180(2715725354......) n=208880: c71418(3419597198......) = 156745100218561 * c71404(2181629405......) n=208879: c178561(1111111111......) = 290209840665559 * c178546(3828647259......) n=208901: c162707(7072511559......) = 100576035296507 * c162693(7032004730......) n=208945: c145592(2469837541......) = 432375975903631 * c145577(5712245080......) n=208944: c69601(1000000000......) = 563329177878529 * c69586(1775161023......) n=208962: c59611(1596779003......) = 143107910933131 * c59597(1115786676......) n=104483: c103656(1855259607......) = 345095511285067 * c103641(5376075744......) n=208968: c69649(1000099999......) = 173620403714929 * c69634(5760267679......) n=104501: c101085(6551824323......) = 262168376024281 * c101071(2499090250......) n=209001: c122496(9009009009......) = 806571175013761 * c122482(1116951521......) n=104523: c69671(4205701282......) = 101922528592387 * c69657(4126370627......) n=209057: c198036(9000000000......) = 153955607766907 * x198022(5845840973......) n=104529: c69684(9009009009......) = 342474176812039 * c69670(2630565928......) n=104531: c88122(1235986827......) = 131452298414081 * c88107(9402550148......) n=209054: c104504(4891902899......) = 982355130339343 * c104489(4979770297......) n=209075: c167222(8713332413......) = 352998943759151 * c167208(2468373508......) n=209088: c63361(1000000000......) = 177827919483457 * x63346(5623413932......) n=209088: x63346(5623413932......) = 611112478901761 * c63331(9201929475......) n=209091: c139392(9009009009......) = 428310085348969 * c139378(2103384747......) n=209098: c104542(1035161464......) = 114582759691063 * c104527(9034181641......) n=20909: c17137(1111110999......) = 689783157802481 * c17122(1610812017......) n=209097: c119449(1001000999......) = 392168169805609 * c119434(2552478954......) n=209134: c98391(4320507302......) = 291117530745973 * c98377(1484111001......) n=209155: c164257(1111099999......) = 965435308374961 * c164242(1150879805......) n=69718: c31660(3335218858......) = 448831892720047 * c31645(7430886512......) n=209164: c104559(3768034476......) = 149962295065729 * c104545(2512654580......) n=209178: c69705(6704682820......) = 148199690155807 * c69691(4524086935......) n=209182: c102001(1099999999......) = 722715964629091 * c101986(1522036393......) n=209186: c104581(1298436763......) = 506582830188089 * c104566(2563128251......) n=209184: c69686(8087567616......) = 917794432254529 * c69671(8811959772......) n=209218: c103105(1099999999......) = 207211783491841 * c103090(5308578409......) n=104617: c103923(1964571265......) = 215387185275569 * c103908(9121114902......) n=209253: c119040(9009009009......) = 127338522643729 * c119026(7074849638......) n=209260M: c41849(2824060999......) = 678882300423941 * c41834(4159868357......) n=209268: c69721(1409367017......) = 144797610436309 * c69706(9733358257......) n=104645: c83712(9000090000......) = 189066206003641 * c83698(4760284871......) n=26162: c12813(3026708646......) = 243301541943569 * c12799(1244015398......) n=209331: c139527(4503321365......) = 233659230278437 * c139513(1927303004......) n=209370: c47795(1321465742......) = 162845431895371 * c47780(8114846863......) n=209390: c83746(1193932245......) = 141948388170761 * x83731(8411030663......) n=209390: x83731(8411030663......) = 340703627532041 * c83717(2468723542......) n=209400: c55675(1193885871......) = 404629848393601 * c55660(2950563030......) n=209404: c96625(1009999999......) = 445546608296401 * c96610(2266878439......) n=209428: c102071(2598975972......) = 780443894551481 * c102056(3330125318......) n=104719: c96089(4458153623......) = 705587533856867 * c96074(6318356560......) n=209469: c124783(5140547828......) = 450339646931929 * c124769(1141482404......) n=209476: c104736(9900990099......) = 390549675992141 * c104722(2535142315......) n=209484: c60720(9999999999......) = 683512939004941 * c60706(1463030094......) n=209504: c104725(1259695719......) = 290884059119713 * c104710(4330576668......) n=209547: c128294(4330960791......) = 102220538188627 * c128280(4236879269......) n=209544: c69834(2075105928......) = 285493024361833 * c69819(7268499583......) n=209557: c208620(9000000000......) = 164750506758787 * x208606(5462805655......) n=209566: c89791(6559028551......) = 171900982590611 * c89777(3815585259......) n=209577: c139716(9009009009......) = 485938505549719 * c139702(1853940139......) n=209585: c166001(1111099999......) = 235710955243591 * c165986(4713824178......) n=209594: c81578(1816143348......) = 209649630439481 * c81563(8662754827......) n=209605: c146851(9059010822......) = 109966524551071 * c146837(8237971382......) n=104813: c104140(3680651852......) = 115744215043151 * c104126(3179987743......) n=209643: c117197(5409405505......) = 334592277050683 * c117183(1616715589......) n=209648: c104794(1567006495......) = 244309490850209 * c104779(6414022191......) n=209651: c193499(1523523273......) = 398750433662387 * x193484(3820743866......) n=209651: x193484(3820743866......) = 832619379705569 * x193469(4588824088......) n=209661: c131521(1109999999......) = 889831986337519 * c131506(1247426499......) n=209715: c95992(1170983311......) = 622404411353671 * c95977(1881386587......) n=209732: c104864(9900990099......) = 495754536184021 * c104850(1997155724......) n=209738: c104857(6973732770......) = 203698215503173 * c104843(3423561052......) n=104875: c83800(9999999999......) = 997717886247001 * c83786(1002287333......) n=209763: c131329(1000000001......) = 113760292047517 * c131314(8790413447......) n=209774: c102848(7512519288......) = 208681605670933 * c102834(3599991127......) n=209783: c171841(2021567954......) = 308216889626479 * c171826(6558913617......) n=209792: c94708(6575224276......) = 152503488065281 * c94694(4311523860......) n=104899: c99343(7231546197......) = 885292152557999 * c99328(8168542076......) n=209808: c66231(4777250160......) = 249211142291953 * c66217(1916948863......) n=209832: c59898(4765238540......) = 762496041618529 * c59883(6249525611......) n=34973: c34080(9000000000......) = 925268768851027 * c34065(9726903471......) n=209871: c139848(1032804442......) = 211161962272879 * c139833(4891053444......) n=209872: c96755(3483710365......) = 277275182628497 * c96741(1256409005......) n=209877: c139916(9009009009......) = 234640234019791 * c139902(3839498816......) n=209879: c204711(1784364637......) = 473146584311197 * x204696(3771272363......) n=209890: c82800(9091000000......) = 204435482785441 * c82786(4446879708......) n=104949: c61754(7742705241......) = 539120530116559 * c61740(1436173324......) n=209908: c103659(8735039130......) = 971269754750521 * c103644(8993422360......) n=104969: c102087(1088148834......) = 249469654792723 * x102072(4361848481......) n=104969: x102072(4361848481......) = 268886775695929 * c102058(1622187803......) n=209954: c103918(1541887183......) = 258796921100339 * c103903(5957903893......) n=209961: c136307(1673213582......) = 285012539128027 * c136292(5870666559......) n=209965: c143798(4492095205......) = 803308232476751 * c143783(5591994485......) n=104984: c47662(6565887839......) = 735676216722481 * c47647(8924969558......) n=209976: c64501(2061685016......) = 105628165799833 * c64487(1951832639......) n=209974: c104979(1842357565......) = 536123476138571 * c104964(3436442625......) n=209981: c206354(1315554255......) = 103772495130413 * x206340(1267729232......) # 209724 of 300000 Phi_n(10) factorizations were cracked. -- Mar 10, 2023 (Makoto Kamada) -- n=210026: c99469(1099999999......) = 425734115232893 * c99454(2583772266......) n=210029: c208380(9000000000......) = 709799348375801 * x208366(1267963970......) n=105013: c99468(9000000000......) = 654947371883921 * c99454(1374156212......) n=210040: c81664(9999000099......) = 233279851855441 * c81650(4286268196......) n=210036: c66873(1726722972......) = 728075402333281 * c66858(2371626575......) n=105027: c64594(1315405305......) = 315343374250321 * c64579(4171342774......) n=210095: c168054(3369813045......) = 170260880431361 * c168040(1979205697......) n=105049: c87674(3329288588......) = 256715194283213 * c87660(1296880224......) n=210118: c101641(1099999999......) = 834756340117127 * c101626(1317749799......) n=210144: c63332(1995869248......) = 249950168274049 * c63317(7985068631......) n=210145: c149753(8922499056......) = 689970796225231 * c149739(1293170537......) n=210151: c200992(9000000000......) = 293500537343173 * x200978(3066433908......) n=210152: c103671(2177006581......) = 225110375793833 * c103656(9670840689......) n=210172: c105066(8662907089......) = 164188040419981 * c105052(5276210780......) n=210189: c120078(1380218019......) = 754221094955707 * c120063(1829991270......) n=210190: c84065(2153624632......) = 791532573590771 * c84050(2720828813......) n=210207: c136605(2412589283......) = 739348290844879 * c136590(3263129587......) n=42047: c39816(9000000000......) = 421169401809071 * c39802(2136907372......) n=105127: c90350(1268068825......) = 264780570111641 * c90335(4789130956......) n=210255: c110228(1080589259......) = 501006761299591 * c110213(2156835681......) n=105151: c103569(1900064424......) = 483348531234841 * c103554(3931044166......) n=210316: c105156(9900990099......) = 283572577811309 * c105142(3491518882......) n=210314: c97038(1015398027......) = 530582706523169 * c97023(1913741279......) n=210321: c140199(2901223018......) = 162653285320363 * c140185(1783685471......) n=210329: c180276(9000000900......) = 973069879935161 * x180261(9249079727......) n=210343: c178201(1111110999......) = 262823421584123 * c178186(4227595064......) n=210348: c70098(2971268751......) = 411656004630109 * c70083(7217843825......) n=210354: c70108(3076593695......) = 160376014175401 * x70094(1918362737......) n=210354: x70094(1918362737......) = 686110459400167 * c70079(2795996928......) n=210380M: c41177(2386124224......) = 269121064251421 * c41162(8866359945......) n=210385: c144232(6736313128......) = 630943927882591 * c144218(1067656384......) n=210394: c103357(1099999999......) = 313874803518361 * c103342(3504582042......) n=210396: c68992(9901000000......) = 118333616227909 * c68978(8367022250......) n=210428: c101754(2285590663......) = 149600670371749 * c101740(1527794399......) n=105219: c69984(9999999999......) = 204724469831797 * c69970(4884613943......) n=210443: c198048(9000000000......) = 594942178838197 * x198034(1512752048......) n=210443: x198034(1512752048......) = 683867661487693 * x198019(2212053784......) n=52613: c47815(8552937934......) = 404745649701317 * c47801(2113163647......) n=210456: c67383(8001999033......) = 340180980958873 * c67369(2352277017......) n=210495: c112257(1109988900......) = 141478856310271 * c112242(7845616857......) n=210504: c59808(9999999999......) = 281051693572777 * c59794(3558064309......) n=105261: c64747(5272583043......) = 163865377533001 * c64733(3217630912......) n=210544: c105264(9999999900......) = 316961624645441 * c105250(3154956033......) n=210550: c84201(1000009999......) = 128456631640201 * c84186(7784806336......) n=210564: c70165(7213339689......) = 284158628344009 * c70151(2538490466......) n=210566: c104313(3177262571......) = 101574512239699 * c104299(3128011645......) n=210576: c67840(9999999900......) = 210390614575153 * c67826(4753063685......) n=105289: c104580(9000000000......) = 147631572971347 * c104566(6096256931......) n=105287: c82356(1034173042......) = 586220514141991 * c82341(1764136561......) n=210595: c131010(6054126180......) = 115506713037871 * c130996(5241363052......) n=105299: c101621(8031150375......) = 234550270866881 * c101607(3424063568......) n=35103: c23389(5978593302......) = 639558194558293 * c23374(9348005160......) n=105313: c97183(5677856822......) = 632955115035751 * c97168(8970394089......) n=210664: c99052(6262060691......) = 503394137017657 * c99038(1243967744......) n=210668: c105332(9900990099......) = 151786674466409 * c105318(6522963978......) n=210681: c132192(9999999999......) = 198475887720043 * c132178(5038395401......) n=210689: c207060(9000000000......) = 588401702221733 * x207046(1529567294......) n=210695: c168542(1729666958......) = 401162596084031 * c168527(4311635670......) n=105351: c70225(2928569218......) = 154655188986751 * c70211(1893612000......) n=210717: c129589(1147866410......) = 101695690675801 * c129575(1128726697......) n=210727: c191554(7118208932......) = 111374940316597 * x191540(6391212342......) n=210751: c207773(1729610481......) = 239224539145121 * x207758(7230071328......) n=210754: c104570(4199032387......) = 294293728294327 * c104556(1426816810......) n=210762: c70191(9117387235......) = 601025127851611 * c70177(1516972720......) n=210805: c136504(3493773775......) = 118165816472831 * c136490(2956670448......) n=210808: c97239(1861902416......) = 140736039732289 * c97225(1322974854......) n=210813: c140540(9009009009......) = 133431080470117 * c140526(6751806983......) n=210825: c112321(1000000000......) = 550264204467001 * c112306(1817308834......) n=210829: c205884(9000000000......) = 117227899066637 * x205870(7677353319......) n=210840: c48001(1000099999......) = 149356461402961 * c47986(6696061158......) n=210848: c95674(1824135464......) = 131286891890881 * c95660(1389426955......) n=210849: c138337(1109999999......) = 905408006597761 * c138322(1225966627......) n=105427: c90360(9000000900......) = 167409526292009 * c90346(5376038687......) n=210850: c84311(4007059404......) = 986900112723251 * c84296(4060248198......) n=210860M: c38855(5196963955......) = 132950908030981 * c38841(3908934532......) n=210875: c144001(1000000000......) = 652566524274001 * c143986(1532410816......) n=210879: c140570(4864171409......) = 721464482313037 * c140555(6742080212......) n=210903: c108240(9999999999......) = 739346702833201 * c108226(1352545424......) n=70304: c32431(5988266657......) = 245494688683297 * c32417(2439265260......) n=210906: c70297(1000999998......) = 628231697835769 * c70282(1593361179......) n=210942: c70296(9373344348......) = 147484564098373 * c70282(6355474829......) n=210953: x198510(1312129745......) = 759118395905147 * x198495(1728491567......) n=105477: c70316(9009009009......) = 652419849113761 * c70302(1380860656......) n=210954: c70317(1098901098......) = 853598024314957 * c70302(1287375401......) n=210964: c97338(4787544421......) = 505207528405841 * c97323(9476391684......) n=210972: c70287(7466660572......) = 202162813506721 * c70273(3693389720......) n=210996: c70296(4404913459......) = 169788682279189 * c70282(2594350459......) n=211000: c83986(2127017012......) = 139675312566001 * c83972(1522829605......) n=211004: c94961(1129409484......) = 183778132779601 * c94946(6145505273......) n=211016: c97345(1000099999......) = 693242136756209 * c97330(1442641678......) n=211028: c105497(1037345874......) = 168051694300829 * c105482(6172778433......) n=211054: c105503(8443338461......) = 551412883516133 * c105489(1531218931......) n=105545: c71994(1522723631......) = 565065179564161 * c71979(2694775198......) n=211107: c129889(1109999999......) = 165085822619329 * c129874(6723775442......) n=211125: c112401(1000000000......) = 654681390444001 * c112386(1527460555......) n=211130: c82303(2297237958......) = 232878055393441 * c82288(9864553165......) n=211138: c104874(2368118919......) = 295164915434797 * c104859(8023036598......) n=211142: c104833(1099999999......) = 101313976954769 * c104819(1085733709......) n=211156: c95954(1062931769......) = 323902621195649 * c95939(3281639914......) n=35193: c23408(2002186454......) = 400202592897637 * c23393(5002932239......) n=211172: c93594(2344294640......) = 437339322452969 * c93579(5360356409......) n=211178: c92400(9090909091......) = 148504707196121 * x92386(6121630258......) n=211178: x92386(6121630258......) = 537021659568131 * c92372(1139922412......) n=211183: c180996(4204193727......) = 220334049334561 * x180982(1908099878......) n=211185: c98488(5344452331......) = 458766678825001 * c98474(1164960878......) n=105603: c70387(1103603524......) = 134100269462521 * c70372(8229689090......) n=211206: c70388(5265454374......) = 568804353693139 * c70373(9257057088......) n=211228: c105607(4687325177......) = 345605781949889 * c105593(1356263529......) n=105617: c102180(9000000000......) = 472740886564759 * c102166(1903791327......) n=105623: c88906(7303872100......) = 148565827930969 * c88892(4916253085......) n=211281: c120708(2960204299......) = 647459113065997 * c120693(4572032797......) n=211300M: c42241(1010050200......) = 115300656723601 * c42226(8760142652......) n=211322: c104819(6364900143......) = 103923955560133 * c104805(6124574559......) n=211324: c101013(7594652695......) = 843066757282709 * c100998(9008364557......) n=211326: c70441(1098901098......) = 560496768498397 * c70426(1960584182......) n=105669: c68892(1999317449......) = 341931836414557 * c68877(5847122837......) n=211363: x209075(8981804469......) = 255293154300409 * x209061(3518231616......) n=211371: c140912(9009009009......) = 285557580561067 * c140898(3154883505......) n=211377: c140916(9009009009......) = 310603998924031 * c140902(2900480689......) n=211374: c70453(1000999998......) = 630536796386173 * c70438(1587536214......) n=211381: c197558(7813243881......) = 100757392107643 * x197544(7754511820......) n=211385: c166321(1111099999......) = 774242687278721 * c166306(1435079747......) n=105695: c84532(2042041239......) = 151186729193161 * c84518(1350674924......) n=211389: c136314(1312745541......) = 761025965808439 * c136299(1724968135......) n=211393: c158369(2767811177......) = 278110127462441 * c158354(9952212825......) n=105706: c49709(7368721387......) = 102973439436169 * c49695(7155943734......) n=211420M: c37187(3146571240......) = 359005084755461 * x37172(8764698256......) n=211420M: x37172(8764698256......) = 777277058610361 * c37158(1127615714......) n=211445: c156056(1123644228......) = 737281441555231 * c156041(1524037043......) n=105725: c84547(2336821808......) = 359422650582551 * c84532(6501598618......) n=211475: c153589(3153838052......) = 406299357268751 * c153574(7762350581......) n=211480: c79351(6846375211......) = 299886884759281 * c79337(2282985872......) n=105739: c103120(9000000000......) = 651337353006191 * c103106(1381772434......) n=211490: c84593(1099989000......) = 318857265557011 * c84578(3449784963......) n=105749: c90636(9000000900......) = 124334009649067 * c90622(7238567247......) n=211506: c70475(6973141737......) = 230675311834339 * c70461(3022925029......) n=211510: c78043(1432711719......) = 584564465617081 * c78028(2450904568......) n=105757: c99520(9000000000......) = 172929222703961 * c99506(5204441365......) n=211548: c65274(2954411364......) = 215935717279549 * c65260(1368190219......) n=211551: c139792(9015398080......) = 559708513714573 * c139778(1610730917......) n=211572: c70408(1088057862......) = 518714185470409 * c70393(2097605757......) n=211582: c84667(4726277158......) = 951832242703819 * c84652(4965451837......) n=211624: c90663(5015212242......) = 147786293305897 * c90649(3393557095......) n=211636: c104833(1009999999......) = 823251937172069 * c104818(1226841935......) n=211644: c70524(8516991277......) = 154595210590981 * c70510(5509220657......) n=211646: c97934(2856379012......) = 204712295236087 * c97920(1395313852......) n=105833: c83656(4075589923......) = 373360337303227 * c83642(1091596914......) n=211671: c136072(8990573622......) = 308198543370643 * c136058(2917136961......) n=211730: c81840(9091000000......) = 126590569623241 * c81826(7181419616......) n=211740L: c28224(3913542626......) = 172698999361921 * c28210(2266106139......) n=211750: c65985(4695647014......) = 697050863740001 * c65970(6736448168......) n=211754: c105178(6791175358......) = 835548237459007 * c105163(8127807652......) n=211761: c118800(9999999990......) = 122583175980409 * c118786(8157726302......) n=211791: c140101(8337658011......) = 696202197526867 * c140087(1197591452......) n=211802: c104970(2048325107......) = 234344718877169 * c104955(8740649747......) n=211816: c91828(1733009497......) = 304116196262209 * c91813(5698511025......) n=211820M: c33782(3494006877......) = 976893731291941 * c33767(3576649911......) n=105909: c68881(1109999999......) = 892732294432801 * c68866(1243373861......) n=70608: c23504(8056560888......) = 821854973588977 * c23489(9802898501......) n=211857: c141215(1625028999......) = 194263507886599 * c141200(8365075957......) n=105927: c63355(1417484814......) = 601605015082933 * c63340(2356171871......) n=211863: c141219(3483589111......) = 790531394904481 * c141204(4406642333......) n=211871: c179521(1000000000......) = 385755938673271 * c179506(2592312650......) n=211876: c85008(9999999999......) = 321916600117589 * c84994(3106394636......) n=211885: c163914(1747960489......) = 124114645398151 * c163900(1408343458......) n=105949: c104779(8372791660......) = 510575553135391 * c104765(1639873199......) n=105951: c70632(9009009009......) = 196025298804031 * c70618(4595839957......) n=211919: c208926(2890624327......) = 113736673421039 * x208912(2541505954......) n=211921: c208684(1635926644......) = 409586791894507 * x208669(3994090329......) n=211930: c84750(8491336059......) = 279913124323691 * c84736(3033561245......) n=211945: c152064(9000090000......) = 281886188731601 * c152050(3192809850......) n=211948: c96315(4765297312......) = 229219113921689 * c96301(2078926678......) n=211963: c210146(1759687614......) = 627579434011597 * x210131(2803928107......) n=211985: c169564(3279588003......) = 699635439845681 * c169549(4687567005......) n=211993: c210859(7416881891......) = 150298804347763 * x210845(4934757746......) # 209664 of 300000 Phi_n(10) factorizations were cracked. -- Mar 8, 2023 (Makoto Kamada) -- n=212010: c54693(3401736146......) = 353383215465361 * c54678(9626196145......) n=212012: c105997(1531152110......) = 295193064543649 * c105982(5186951504......) n=212017: c190993(1111111111......) = 824363502496067 * x190978(1347841222......) n=212023: c181680(1612187254......) = 140262937026689 * x181666(1149403604......) n=212078: c100435(2593379338......) = 326634757003117 * c100420(7939691911......) n=212080: c76800(9999999900......) = 554038661952161 * x76786(1804928173......) n=212080: x76786(1804928173......) = 748793174458561 * c76771(2410449553......) n=212093: c177114(1746263550......) = 212388647885723 * c177099(8222019243......) n=212114: c89399(1876399083......) = 806521112895247 * c89384(2326534362......) n=106061: c104395(1571561654......) = 126797953174199 * c104381(1239421942......) n=212138: c104545(1099999999......) = 185851760220757 * c104530(5918695624......) n=212147: c195798(5469474589......) = 461544338874919 * x195784(1185037737......) n=212156: c90893(8405882727......) = 483375355892969 * c90879(1738996956......) n=70721: c60587(1674850812......) = 308197456213123 * c60572(5434343402......) n=212170: c72576(9999999000......) = 176714073557561 * c72562(5658858289......) n=212246: c106109(4704032328......) = 902875538922041 * c106094(5210056232......) n=212263: c211108(1716902526......) = 521694682513747 * x211093(3291010209......) n=212273: c209503(2119906629......) = 122833657283333 * x209489(1725835309......) n=212278: c96481(1099999999......) = 956466888900293 * c96466(1150065948......) n=212290: c73921(1099989000......) = 123409383199961 * x73906(8913333586......) n=212290: x73906(8913333586......) = 136774071278521 * c73892(6516829909......) n=106145: c73920(9000090000......) = 142202295159601 * c73906(6329075062......) n=212300M: c38394(1057256602......) = 208018204521601 * c38379(5082519603......) n=212309: c204960(9000000000......) = 145003307813893 * x204946(6206754960......) n=212316: c65280(9901000000......) = 309001802554069 * c65266(3204188428......) n=106161: c64321(1109999999......) = 524422395364627 * c64306(2116614411......) n=212372: c106184(9900990099......) = 183246339751121 * x106170(5403103883......) n=212372: x106170(5403103883......) = 955281769091341 * c106155(5656031610......) n=212377: c188161(1111111111......) = 265214680744333 * x188146(4189478154......) n=212385: c113265(1109988900......) = 167598299532361 * c113250(6622912661......) n=212395: c167883(1408873275......) = 146420387636041 * c167868(9622111361......) n=35400: c9273(1592366805......) = 283284975646801 * c9258(5621077508......) n=212405: c162440(2369132452......) = 471362083372241 * c162425(5026141338......) n=212409: c141576(8437716972......) = 226408527139969 * c141562(3726766424......) n=212412: c68395(1165304731......) = 302449641439021 * c68380(3852888454......) n=212420M: c36289(2824058178......) = 477444175241801 * c36274(5914949485......) n=212450: c72720(9999900000......) = 125682636055201 * c72706(7956469019......) n=106231: c103576(3720092994......) = 457222861832999 * c103561(8136279493......) n=212489: c210324(9000000000......) = 178892304713081 * x210310(5030959836......) n=212505: c109440(9009099100......) = 150638753832871 * c109426(5980598531......) n=106251: c69952(3065422673......) = 878874564932761 * c69937(3487895537......) n=212536: c102673(2062069593......) = 163169090081281 * c102659(1263762390......) n=212532: c69696(9901000000......) = 810557657319121 * c69682(1221504714......) n=212542: c96570(3201534718......) = 193408002731527 * x96556(1655326911......) n=212542: x96556(1655326911......) = 313604414929411 * c96541(5278391607......) n=212544: c69121(1000000000......) = 265681990049473 * c69106(3763898335......) n=106285: c81985(1111099999......) = 131029656396721 * c81970(8479759701......) n=212574: c69720(9100000000......) = 138671056508167 * c69706(6562292254......) n=212577: c139192(4224625660......) = 113115730921117 * x139178(3734781737......) n=106289: c105437(1282382107......) = 193081331351609 * c105422(6641668039......) n=212577: x139178(3734781737......) = 303695035078573 * c139164(1229780307......) n=212580M: c28300(2312770716......) = 150240291928021 * c28286(1539381138......) n=212583: c118531(2288582558......) = 721827192981133 * c118516(3170540789......) n=212588: c106285(1478527204......) = 878279702567041 * c106270(1683435470......) n=212614: c106306(9090909090......) = 923512120495609 * c106291(9843843831......) n=106311: c70872(9009009009......) = 616571726183923 * c70858(1461145334......) n=212639: c177115(2612663686......) = 734259113231477 * c177100(3558231201......) n=212643: c141744(1448501492......) = 756294543382249 * c141729(1915261064......) n=106327: c98136(9000000000......) = 192068539899601 * c98122(4685827259......) n=212657: c205296(9000000000......) = 136040152611613 * x205282(6615693842......) n=212660M: c35280(9999999999......) = 741174177311401 * c35266(1349210523......) n=26583: c17714(2824175282......) = 544877268992809 * c17699(5183140210......) n=212670: c52993(1000999998......) = 209413244778481 * x52978(4780022390......) n=212675: c165580(6105531204......) = 147365219956951 * c165566(4143129027......) n=212670: x52978(4780022390......) = 481045860002251 * c52963(9936729090......) n=212707: c189577(1575804030......) = 223137515286071 * x189562(7062030911......) n=212710: c83763(1967067244......) = 881239065921161 * c83748(2232160738......) n=212734: c106366(9090909090......) = 317226668375413 * c106352(2865745536......) n=212737: c182340(9000000900......) = 272889436394359 * x182326(3298039315......) n=212746: c106372(9090909090......) = 538519814443253 * x106358(1688128987......) n=212746: x106358(1688128987......) = 611276676656179 * c106343(2761644688......) n=212763: c141832(1847422810......) = 465049008069361 * c141817(3972533601......) n=212769: c138553(1001000999......) = 403541870140693 * c138538(2480538140......) n=212772: c56819(4957688163......) = 168056830976329 * c56805(2950006932......) n=212770: c85105(1099989000......) = 450847219764211 * c85090(2439826513......) n=212768: c103681(1000000000......) = 426910376385377 * c103666(2342412026......) n=212774: c105627(1346273335......) = 476219001887219 * c105612(2827004656......) n=212785: c170217(1566542100......) = 445465159180801 * c170202(3516643374......) n=35465: c27495(1998249103......) = 101606751116671 * c27481(1966649934......) n=212847: c141896(9009009009......) = 433127581436911 * c141882(2079989683......) n=212849: c168318(2066320238......) = 180216762223681 * c168304(1146574943......) n=212854: c106420(3559131897......) = 320963721554081 * c106406(1108889154......) n=212864: c106352(1962641133......) = 340960893904129 * c106337(5756205970......) n=212886: c70936(3741741092......) = 208219969548379 * x70922(1797013562......) n=212886: x70922(1797013562......) = 696559816166653 * c70907(2579840985......) n=212911: c203614(8239922300......) = 238476528914431 * x203600(3455234080......) n=212914: c92863(2048101243......) = 160026285464293 * c92849(1279853017......) n=106459: c102739(2145678483......) = 920003067916831 * c102724(2332251444......) n=106461: c70956(9999999990......) = 399635626482397 * c70942(2502279408......) n=212941: c209944(2156389198......) = 268367248925431 * x209929(8035217439......) n=212954: c87344(2964977511......) = 267636928011419 * c87330(1107835728......) n=106483: c98264(2607838381......) = 493514633208559 * c98249(5284216932......) n=212979: c126972(1636069020......) = 729321576227947 * c126957(2243275220......) n=213010: c68353(1099988890......) = 168797305288081 * c68338(6516625891......) n=213020L: c42577(1101600091......) = 383736258506641 * c42562(2870721926......) n=213026: c92400(9090909091......) = 105834715203779 * c92386(8589723205......) n=213027: c133617(2074624637......) = 233703968123929 * c133602(8877147675......) n=71008: c30337(1000000000......) = 543871374583489 * c30322(1838670036......) n=53256: c15168(9999000100......) = 625847967917089 * c15154(1597672376......) n=213031: c168467(1124594671......) = 214696844475569 * c168452(5238058686......) n=213033: c141995(1282662165......) = 547030169262559 * c141980(2344774086......) n=106523: c103601(8283214516......) = 124684585197409 * c103587(6643334862......) n=213065: c166314(1086425006......) = 186440680550321 * c166299(5827188591......) n=213060M: c27449(5621796019......) = 887441038995241 * c27434(6334838904......) n=213070: c71033(1217587483......) = 154447899833371 * c71018(7883483586......) n=213077: c207840(9000000000......) = 173160296060413 * x207826(5197496311......) n=213080: c72960(9999000099......) = 178829047336241 * c72946(5591373576......) n=213084: c70983(2734043067......) = 227047836030049 * c70969(1204170502......) n=213128: c106553(1825504601......) = 444356180991521 * c106538(4108201211......) n=213162: c71053(1098901098......) = 127222594281529 * c71038(8637625298......) n=213177: c142104(8892215526......) = 137599391445613 * c142090(6462394515......) n=213180L: c23036(1186765314......) = 348067582057141 * c23021(3409583010......) n=213185: c146147(4244406513......) = 291036953565751 * c146133(1458373742......) n=213184: c106560(9999999999......) = 634530719491841 * c106546(1575967828......) n=213195: c111353(2178224350......) = 820377554940271 * c111338(2655148640......) n=213211: c211000(9000000000......) = 292548470175893 * x210986(3076413284......) n=106607: c100314(2345061157......) = 317077767994243 * c100299(7395854880......) n=213225: c113681(1000010000......) = 102733795242151 * c113666(9733992575......) n=213220M: c36518(1740540830......) = 589902264380801 * c36503(2950557975......) n=213232: c106587(2997984286......) = 235041442098577 * c106573(1275513058......) n=213277: c212220(9000000000......) = 710189307835361 * x212206(1267267741......) n=213288: c71076(1180444492......) = 484700468751817 * x71061(2435410255......) n=213288: x71061(2435410255......) = 525548241155257 * c71046(4634037496......) n=213306: c69969(3552755733......) = 107316074925973 * c69955(3310553182......) n=213315: c113755(2601753974......) = 357165574378801 * c113740(7284447778......) n=213342: c66953(7684113471......) = 232952237700211 * x66939(3298578948......) n=213342: x66939(3298578948......) = 817799075604481 * c66924(4033483341......) n=213371: c204066(1171667974......) = 183410597663627 * x204051(6388223961......) n=106697: c102036(9000000000......) = 166867595215121 * c102022(5393497753......) n=213394: c102007(1693038870......) = 348403816528219 * c101992(4859415397......) n=213410: c85354(3031967455......) = 649823362536121 * c85339(4665833255......) n=213430: c73152(9091000909......) = 201364030123691 * c73138(4514709456......) n=213437: c182933(1127460244......) = 141460810124761 * x182918(7970124332......) n=213459: c142267(3196013044......) = 759900905440813 * c142252(4205828709......) n=213460M: c39360(3541003541......) = 511229213957801 * c39345(6926449906......) n=106737: c69553(1109999999......) = 215715973753999 * c69538(5145655097......) n=213480: c56819(1075610989......) = 123266166947281 * c56804(8725922258......) n=213489: c142282(2420635563......) = 431779320215443 * c142267(5606186887......) n=213512: c98489(4108811990......) = 227257177259737 * c98475(1808000979......) n=35586: c11839(4014403684......) = 346957839050293 * c11825(1157029250......) n=213546: c71159(6244724269......) = 219507089609881 * c71145(2844885001......) n=213551: c197106(2341360470......) = 744259532999009 * x197091(3145892483......) n=106777: c91194(2601475156......) = 230205573747293 * c91180(1130066102......) n=213572: c105550(6072275155......) = 739712598598849 * c105535(8208965437......) n=213579: c134785(1001000999......) = 670432125419569 * c134770(1493068368......) n=213584: c91489(1000000009......) = 512715271967809 * c91474(1950400279......) n=213603: c131418(4330461834......) = 248635162083439 * c131404(1741693249......) n=213622: c97902(5549884517......) = 404947510938437 * c97888(1370519479......) n=213628: c106812(9900990099......) = 133333695750569 * c106798(7425722390......) n=213627: c142407(2734159606......) = 739421998225159 * c142392(3697698489......) n=106829: c106176(9000000000......) = 558227677478239 * c106162(1612245390......) n=213675: c86387(1019270894......) = 414515243604001 * c86372(2458946710......) n=213681: c131473(1109999999......) = 139148391540679 * c131458(7977095442......) n=213685: c170944(9000090000......) = 112148536167721 * c170930(8025151560......) n=213691: c211375(3298265527......) = 123390144877639 * x211361(2673038053......) n=213698: c104981(1099999999......) = 183029436477047 * c104966(6009962228......) n=213699: c142464(9009009009......) = 263332005300391 * c142450(3421159915......) n=213743: x212507(1556463747......) = 278005551126481 * x212492(5598678665......) n=213766: c91589(3574484298......) = 146528092595011 * c91575(2439453237......) n=213765: c114001(1109988900......) = 600120518997991 * c113986(1849609978......) n=106885: c85495(1009924795......) = 128260347771671 * c85480(7874021962......) n=213816: c69579(3058344028......) = 345916338011977 * c69564(8841282392......) n=213845: c162001(1111099999......) = 211182182813951 * c161986(5261334006......) n=213850: c66241(1000009999......) = 128518680176251 * c66226(7781047849......) n=106947: c66809(2280591636......) = 363613016351791 * c66794(6272029695......) n=213899: c183336(9000000900......) = 113554969349347 * x183322(7925677715......) n=213909: c141121(1109999999......) = 453940060971307 * c141106(2445256753......) n=213908: c104817(1608418588......) = 941898127356961 * c104802(1707635402......) n=106959: c70395(5188879903......) = 960230867207587 * c70380(5403783694......) n=213927: c119507(6517658249......) = 480811836359191 * c119493(1355552787......) n=213937: x212954(9613960415......) = 451136326308391 * x212940(2131054374......) n=213945: c107264(9009099100......) = 777137059694641 * c107250(1159267723......) n=106975: c77589(2256513491......) = 383631525268751 * c77574(5881981388......) n=213959: c202665(2061992149......) = 461767609107787 * x202650(4465432631......) n=213968: c104147(9102469217......) = 452388470374993 * c104133(2012091335......) n=213972: c64800(9901000000......) = 231232293168361 * c64786(4281841374......) n=213975: c113745(2171507250......) = 317346622492951 * c113730(6842698476......) n=106989: c67531(2593718527......) = 127481719065271 * c67517(2034580759......) n=213998: c105316(1231769841......) = 475957983962971 * c105301(2587980205......) # 209606 of 300000 Phi_n(10) factorizations were cracked. -- Mar 7, 2023 (Kurt Beschorner) -- n=5477: c5469(1497405954......) = 4679405672910425988720134731403 * c5438(3199991749......) # ECM B1=1e6, sigma=0:3115122745024891 n=5479: c5461(1188390431......) = 1175364770706692672051045921 * c5434(1011082228......) # ECM B1=1e6, sigma=0:1144629584039427 n=12520: c4982(6957889685......) = 4068220734739164961413104154881 * c4952(1710302891......) # P-1 B1=60e6 n=12521: c11844(9000000000......) = 769774332048986028482292393529 * c11815(1169173824......) # P-1 B1=22e6 n=144379: c144353(1901669616......) = 1699316036580040519 * c144335(1119079427......) n=144427: c144410(2754557256......) = 763086575042246237 * c144392(3609757196......) # gr-mfaktc # 209543 of 300000 Phi_n(10) factorizations were cracked. -- Mar 6, 2023 (Makoto Kamada) -- n=107001: c71275(4672831689......) = 211775099254039 * c71261(2206506669......) n=214025: c146629(5815896364......) = 259740233188801 * c146615(2239120329......) n=214024: c103427(9052504808......) = 569891391954289 * c103413(1588461404......) n=214035: c108000(9009099100......) = 121571065382791 * c107986(7410561938......) n=107025: c57026(7972827736......) = 977213730665551 * c57011(8158734866......) n=214059: c142704(9009009009......) = 165609048196723 * c142690(5439925600......) n=107027: c98274(2731998364......) = 908669473982279 * c98259(3006591992......) n=214067: c179713(1111110999......) = 212384740780213 * c179698(5231595245......) n=214068: c71353(1009998990......) = 148436539738141 * c71338(6804247739......) n=214071: c119514(7014029609......) = 831098060480689 * c119499(8439472961......) n=214075: c171234(1167803203......) = 305003860182551 * c171219(3828814503......) n=214095: c97824(9009100000......) = 168810191238991 * c97810(5336822341......) n=214098: c67136(9100000000......) = 480002307028129 * c67122(1895824221......) n=214118: c106193(2167659944......) = 270604348603331 * c106178(8010440170......) n=214134: c70400(9100000000......) = 123533131362127 * c70386(7366444855......) n=214137: c110154(2594392425......) = 185796742797667 * x110140(1396360553......) n=214138: c107053(6134255851......) = 481942350548327 * c107039(1272819424......) n=214137: x110140(1396360553......) = 884947385995597 * c110125(1577902342......) n=214153: c204820(9000000000......) = 719248629293041 * x204806(1251305825......) n=214193: c178417(1111110999......) = 420908267908717 * c178402(2639793714......) n=214217: c201600(9000000000......) = 335737142755603 * x201586(2680668551......) n=214220M: c42840(3576409999......) = 213564025584341 * c42826(1674631291......) n=214229: c210540(9000000000......) = 257625701013409 * x210526(3493440275......) n=214236: c64800(9999990000......) = 282699901974601 * c64786(3537316401......) n=214240: c78316(9984874768......) = 861423174938561 * c78302(1159113785......) n=53561: c50719(8401557088......) = 448335226082969 * c50705(1873945342......) n=107129: c97365(6403116028......) = 719656937544359 * c97350(8897456127......) n=214279: c193441(1111111111......) = 271786906172003 * x193426(4088170128......) n=214279: x193426(4088170128......) = 391224321539533 * x193412(1044968296......) n=214281: c137748(1184808944......) = 391547126202283 * c137733(3025967667......) n=214282: c101485(1099999999......) = 567338421177863 * c101470(1938878029......) n=214287: c142834(6186829779......) = 228421834665643 * c142820(2708510676......) n=214298: c91830(1222151894......) = 118555249777973 * c91816(1030871173......) n=214306: c105767(2572610505......) = 552713802763357 * c105752(4654507437......) n=214318: c98868(5163398373......) = 161729788688807 * c98854(3192608124......) n=214314: c68288(9100000000......) = 551829348645931 * c68274(1649060533......) n=214333: c180577(1111110999......) = 514043859462631 * x180562(2161510111......) n=214337: c204996(9000000000......) = 472338334544507 * x204982(1905413840......) n=214376: c105834(4241059785......) = 104711862231433 * c105820(4050219044......) n=107193: c71460(9009009009......) = 297307138296643 * c71446(3030202725......) n=214393: c213322(6996491648......) = 135968641329187 * x213308(5145665632......) n=214412: c97231(1237474611......) = 464857725868141 * c97216(2662050220......) n=214417: c183752(1425295713......) = 135635208147083 * x183738(1050830188......) n=214427: c207480(9000000000......) = 330879067567717 * x207466(2720027007......) n=214454: c107226(9090909090......) = 147759002868773 * c107212(6152524661......) n=214467: c126720(9009009009......) = 126112077347587 * c126706(7143652851......) n=107245: c84481(1111099999......) = 142826295456511 * c84466(7779379815......) n=107261: c83154(7769205668......) = 260396804615641 * c83140(2983602536......) n=214525: c171600(9999900000......) = 519914512767401 * c171586(1923373892......) n=214535: c169587(2206761886......) = 444537443169481 * c169572(4964175505......) n=214544: c91509(4629788173......) = 649142562640001 * c91494(7132159312......) n=107287: c100955(1398116891......) = 441348511345151 * c100940(3167829631......) n=214577: c195060(9000000000......) = 165607599623951 * x195046(5434533210......) n=214580M: c42903(3520706365......) = 900482410275181 * c42888(3909800264......) n=214594: c104624(3104193193......) = 416185113054197 * c104609(7458683878......) n=107305: c77993(5627497927......) = 109620988709761 * c77979(5133595302......) n=214626: c71533(4876261164......) = 401605588605343 * c71519(1214191560......) n=107313: c71535(1399177331......) = 517008841200121 * c71520(2706292851......) n=214655: c147159(3901863767......) = 127581157469921 * c147145(3058338585......) n=214654: c97461(1000000000......) = 865128868101653 * c97446(1155897158......) n=107329: c103600(9000000000......) = 998355090727237 * c103585(9014828575......) n=214679: c212968(4357906134......) = 538446369163403 * x212953(8093482255......) n=107341: c94500(4999064778......) = 200669129009467 * c94486(2491197726......) n=214682: c94499(2936293286......) = 224842873942207 * c94485(1305931219......) n=214700M: c40307(1068870077......) = 138986972289301 * c40292(7690433573......) n=214696: c104881(1000099999......) = 736600993759921 * c104866(1357722849......) n=107349: c65031(4626859509......) = 489576522263533 * c65016(9450738136......) n=214724: c107354(1024673438......) = 215519427235909 * c107339(4754436533......) n=214728: c68279(6821841260......) = 151487303415913 * c68265(4503242916......) n=214747: x198203(6975788446......) = 621613664375237 * x198189(1122206419......) n=214757: c199575(3017852461......) = 712168380697729 * x199560(4237554689......) n=107393: c89986(4816002163......) = 787807087588093 * c89971(6113174455......) n=107397: c71592(9990000009......) = 485554044602197 * c71578(2057443475......) n=214803: c138090(3883405615......) = 216071749814923 * c138076(1797275959......) n=107403: c71600(9009009009......) = 308560177999039 * c71586(2919692705......) n=214813: c212791(3316202759......) = 967409377122997 * x212776(3427920834......) n=214852: c92153(2104239173......) = 824894117569369 * c92138(2550920328......) n=214875: c114001(1000000000......) = 142517622915001 * c113986(7016676110......) n=214879: c184168(4239275410......) = 133413067456523 * x184154(3177556360......) n=214895: c171899(1576793228......) = 941243252939441 * c171884(1675223938......) n=214912: c101361(7232890549......) = 754590635625857 * c101346(9585184612......) n=107459: c97680(9000000000......) = 103588029373489 * c97666(8688262586......) n=214928: c86400(9999999900......) = 184677771437713 * c86386(5414836784......) n=214942: c84960(9090910000......) = 586371817875299 * c84946(1550366119......) n=214950: c57267(4130369933......) = 423273462073801 * c57252(9758159448......) n=214960: c85945(1250545234......) = 639567568843201 * c85930(1955298072......) n=215023: c203669(1345800923......) = 193243664366801 * x203654(6964269320......) n=215049: c141697(1109999999......) = 170449510051123 * c141682(6512192376......) n=215048: c107520(9999000099......) = 993849196385761 * c107506(1006088261......) n=215054: c92161(1099999890......) = 116238947862703 * c92146(9463264338......) n=215083: c195515(1046106565......) = 266424461933719 * x195500(3926465903......) n=215085: c105784(1293583285......) = 453996389742871 * c105769(2849325048......) n=107543: c100801(1111111111......) = 284226847175759 * c100786(3909240531......) n=215106: c71692(2258465609......) = 291318498918361 * c71677(7752565037......) n=215113: c212608(9000000000......) = 812815855570639 * x212594(1107261864......) n=215121: c143412(9009009009......) = 595237284921397 * c143398(1513515573......) n=215136: c70824(7311615514......) = 343571974712641 * c70810(2128117557......) n=215154: c71703(4120157165......) = 598245646796731 * c71688(6887065853......) n=215175: c108000(9999900000......) = 149152090878751 * c107986(6704498704......) n=215190: c57302(1035276523......) = 129597322550131 * c57287(7988409817......) n=215207: c214200(9000000000......) = 147268525985281 * x214186(6111285449......) n=107605: c86080(9000090000......) = 654220876740961 * c86066(1375695934......) n=215216: c107589(3642424029......) = 212057721986849 * c107575(1717656869......) n=107615: c86088(9000090000......) = 214456292272151 * c86074(4196701297......) n=53809: c46116(9000000900......) = 132139438862929 * c46102(6810987678......) n=215250: c47994(1161440050......) = 513065866430251 * c47979(2263725043......) n=107623: c106960(9000000000......) = 844391010235723 * c106946(1065856918......) n=215264: c89269(6968675706......) = 233139326669761 * c89255(2989060578......) n=107645: c86102(1106492300......) = 582939649660721 * c86087(1898124962......) n=107649: c71584(1153670535......) = 795305366898283 * c71569(1450600717......) n=215301: c140107(2577780461......) = 461243665878529 * c140092(5588760674......) n=215308: c101928(1572054307......) = 150892224688181 * c101914(1041839174......) n=215318: c106900(3802783310......) = 478731593717809 * c106885(7943455916......) n=215343: c141121(1001000999......) = 348876071501599 * c141106(2869216555......) n=215352: c71693(3128998120......) = 641024328515761 * c71678(4881247061......) n=215376: c61428(3884407213......) = 151794189404929 * c61414(2558995985......) n=215370: c57408(9990010000......) = 846683646814081 * c57394(1179898777......) n=215387: c210329(3316289692......) = 162626477656729 * x210315(2039206493......) n=107703: c71784(9999999990......) = 103243132288963 * c71770(9685874273......) n=215401: c210772(9000000000......) = 268081969796413 * x210758(3357182136......) n=215401: x210758(3357182136......) = 286876115877511 * x210744(1170255016......) n=215419: c208440(9000000000......) = 703244398517443 * x208426(1279782678......) n=215426: c107701(6950774941......) = 866700807793409 * c107686(8019809003......) n=215427: c143610(6969880005......) = 987006150250213 * c143595(7061637866......) n=107721: c71790(4025233086......) = 303219231363991 * c71776(1327499271......) n=35915: c26073(4284893799......) = 450194129432191 * c26058(9517880220......) n=215510: c82368(9091000000......) = 237674914501091 * c82354(3824972449......) n=215518: c107009(3314273948......) = 131714312770681 * c106995(2516259530......) n=107757: c66074(1022018480......) = 807029584506289 * c66059(1266395309......) n=107765: c73873(1111099888......) = 119342925027761 * c73858(9310144599......) n=71848: c30756(4079885541......) = 344265902325577 * c30742(1185097192......) n=215557: c208087(1010706790......) = 919830895742867 * x208072(1098796306......) n=107783: c99480(9000000000......) = 103303936239271 * c99466(8712155923......) n=215564: c107773(4503002633......) = 413863735114469 * c107759(1088039915......) n=107789: c95201(1111111111......) = 290400637837399 * c95186(3826131785......) n=215590: c86233(1099989000......) = 297048805867001 * c86218(3703058145......) n=215601: c143727(2089273267......) = 413514187962037 * c143712(5052482668......) n=215646: c71052(8298414181......) = 689141168849527 * c71038(1204167528......) n=107826: c35916(2025130517......) = 624655647507649 * c35901(3241995050......) n=107829: c71873(1219035388......) = 420211242080533 * c71858(2901006129......) n=215673: c133047(1131592691......) = 117910338237397 * c133032(9597060855......) n=215701: c210391(1325342229......) = 106564422045083 * x210377(1243700481......) n=107851: c104104(9000000000......) = 153010811614889 * c104090(5881937299......) n=215708: c107842(1989854210......) = 139820815998049 * c107828(1423145900......) n=215714: c107856(9090909090......) = 152773908298757 * c107842(5950563936......) n=215717: c202040(2443444681......) = 678293568003769 * x202025(3602340927......) n=107861: c99547(4172016892......) = 216813629901311 * c99533(1924241060......) n=215738: c107188(4007584183......) = 711782256007583 * c107173(5630351346......) n=215776: c97921(1000000000......) = 121600948233953 * c97906(8223620082......) n=215787: c120468(1384417540......) = 304741643211721 * c120453(4542922081......) n=215823: c143873(4440699862......) = 114788106813397 * c143859(3868606239......) n=107911: c102645(8345515414......) = 950091726022991 * c102630(8783904949......) n=215860L: c41995(1295329706......) = 408557445119861 * c41980(3170495904......) n=215862: c71935(1802148258......) = 725920734293611 * x71920(2482568926......) n=215862: x71920(2482568926......) = 955190954502247 * c71905(2599028932......) n=215881: c212164(9000000000......) = 118299935348467 * x212150(7607780996......) n=215880: c49153(1000099999......) = 444717285986401 * c49138(2248844449......) n=215895: c111738(5216131617......) = 102015063353911 * c111724(5113099424......) n=107947: c92473(2993190367......) = 640679472496757 * c92458(4671899906......) n=215902: c107944(1052666028......) = 225186498260699 * c107929(4674640961......) n=215910: c57552(9990010000......) = 183907899254881 * c57538(5432072271......) n=215968: c101368(6530769495......) = 312027237685217 * c101354(2093012630......) n=215974: c98161(1099999999......) = 332222083250641 * c98146(3311038174......) n=215990: c86385(9985837218......) = 255614747836001 * c86371(3906596666......) # 209542 of 300000 Phi_n(10) factorizations were cracked. -- Mar 5, 2023 (Makoto Kamada) -- n=216003: c142209(1109999999......) = 343068503574151 * c142194(3235505411......) n=108017: c85381(2973076313......) = 553372637803441 * c85366(5372647851......) n=216040: c78389(2738019374......) = 262299609504241 * c78375(1043851868......) n=216046: c108010(1513004380......) = 428185639002917 * c107995(3533524347......) n=216066: c72012(9332020190......) = 377432489446081 * c71998(2472500500......) n=108035: c76795(4165339171......) = 965855281610951 * c76780(4312591389......) n=108043: c99720(9000000000......) = 192227721090991 * x99706(4681946989......) n=108043: x99706(4681946989......) = 455905699063517 * c99692(1026955135......) n=216109: c214805(2488625289......) = 847044151056329 * x214790(2938011301......) n=108065: c86419(2502265392......) = 104400361749311 * c86405(2396797626......) n=216135: c115192(1420988303......) = 167925474426601 * c115177(8462017501......) n=108067: c105976(9000000000......) = 691622705021201 * c105962(1301287527......) n=216136: c108064(9999000099......) = 580994995939177 * c108050(1721013118......) n=108069: c62189(8788368080......) = 218404416799999 * c62175(4023896681......) n=216140M: c42400(3540999999......) = 285934068266881 * c42386(1238397376......) n=216147: c142549(4602127093......) = 150908007212293 * c142535(3049624190......) n=216150: c51993(3614424169......) = 210999410932201 * c51979(1713002019......) n=216158: c108073(2102834052......) = 340199743252219 * c108058(6181174719......) n=216171: c144091(5400751653......) = 234411409973683 * c144077(2303962786......) n=108097: c94793(3381195268......) = 162209734264117 * c94779(2084458915......) n=216203: c199553(1360377250......) = 340034181923879 * x199538(4000707347......) n=216209: c182161(1111110999......) = 156407226004877 * x182146(7103962063......) n=216218: c108097(3885348790......) = 384077706128449 * c108083(1011604872......) n=108113: c106554(6937180745......) = 355991481291053 * c106540(1948692906......) n=216256: c103681(1000000000......) = 164814203045249 * c103666(6067438251......) n=108134: c49897(1099999999......) = 529417657925573 * c49882(2077754648......) n=216283: c215280(9000000000......) = 151659196837601 * x215266(5934358210......) n=216283: x215266(5934358210......) = 467930866761133 * x215252(1268212599......) n=216282: c62708(1957655066......) = 553019263312891 * c62693(3539940100......) n=108149: c106764(9000000000......) = 705794151533707 * c106750(1275159333......) n=216322: c108148(1061762759......) = 157510163406619 * c108133(6740915866......) n=216363: c123625(1109999889......) = 906600011405173 * c123610(1224354594......) n=216369: c139087(1928379902......) = 184447491175369 * c139073(1045489906......) n=216375: c115201(1000000000......) = 547642120416751 * c115186(1826010021......) n=216378: c72083(8055263309......) = 867839314381219 * c72068(9281975564......) n=216413: c210528(9000000000......) = 687116121352723 * x210514(1309822273......) n=216422: c108210(9090909090......) = 183856682997641 * c108196(4944562766......) n=216443: c214200(9000000000......) = 238264578504923 * x214186(3777313462......) n=216462: c70383(3275906751......) = 134379301791037 * c70369(2437806051......) n=216490: c86578(6150409999......) = 155546701978961 * c86564(3954060048......) n=216500L: c43190(4638372424......) = 184877221723501 * c43176(2508893405......) n=216511: c215512(9000000000......) = 127653103281449 * x215498(7050357389......) n=216510: c49422(2875267909......) = 564871875614131 * c49407(5090124033......) n=108267: c71401(1109999999......) = 147304629730711 * c71386(7535404705......) n=216537: c142550(1313231011......) = 227124735553159 * c142535(5781981465......) n=216554: c99937(1099999999......) = 151233312362809 * c99922(7273529772......) n=216557: c196850(1088657420......) = 162249950375437 * x196835(6709755030......) n=216558: c70501(1183433144......) = 110744762737933 * c70487(1068613192......) n=108299: c105336(9000000000......) = 235312389281227 * c105322(3824702994......) n=216623: x192267(4253201790......) = 664331577680123 * x192252(6402227341......) n=216656: c98401(1000000009......) = 207810756862897 * c98386(4812070487......) n=216663: c144440(9009009009......) = 926652686086591 * c144425(9722098844......) n=216671: c171361(1111110999......) = 325072961229199 * x171346(3418035741......) n=216671: x171346(3418035741......) = 372614938049719 * c171331(9173104436......) n=216693: c144445(1390241045......) = 273640345551667 * c144430(5080541186......) n=216690: c55652(3561064553......) = 682278284360971 * c55637(5219372557......) n=216701: c214985(2736151859......) = 222426458854609 * x214971(1230137760......) n=216704: c108279(4688194131......) = 422098621742849 * c108265(1110686908......) n=216710: c79956(1173193082......) = 109016801133761 * c79942(1076158050......) n=216750: c54376(8559986404......) = 963521118284251 * c54361(8884067242......) n=216763: c208740(9999999999......) = 113306638452479 * x208726(8825608222......) n=216768: c72193(1000000000......) = 176905931165569 * c72178(5652721722......) n=216785: c171761(1111099999......) = 167832045115991 * c171746(6620309007......) n=216793: c215855(1037855191......) = 538210553279881 * x215840(1928344186......) n=108395: c69970(1695881615......) = 931275587001761 * c69955(1821030894......) n=216802: c108400(9090909090......) = 132778291893493 * c108386(6846683265......) n=216811: c181602(1423552794......) = 173744057989643 * x181587(8193389810......) n=216843: c131380(4157061435......) = 371643275927947 * c131366(1118562262......) n=108423: c61907(3556407042......) = 139661142153877 * c61893(2546454215......) n=108427: c98547(1199152968......) = 654188103559871 * c98532(1833040011......) n=216865: c157681(1111099999......) = 862462715179231 * c157666(1288287575......) n=216875: c172984(1890620282......) = 130158442558751 * c172970(1452552938......) n=216883: c213840(9000000000......) = 177462973579403 * x213826(5071480443......) n=216904: c102673(1000099999......) = 431470827515113 * c102658(2317885558......) n=216938: c104930(1995039781......) = 285181162664063 * c104915(6995692713......) n=216943: c213203(1037137592......) = 749688416044493 * x213188(1383424860......) n=36159: c22657(1109999999......) = 517433523560533 * c22642(2145203102......) n=216960: c57330(2603456014......) = 709447460294401 * c57315(3669695305......) n=216971: c204186(6913360991......) = 880229228542319 * x204171(7854046159......) n=216976: c106380(4284526322......) = 106731822510097 * c106366(4014291353......) n=216993: c123966(8437713455......) = 536695069715323 * c123952(1572161536......) n=216999: c134137(1000000000......) = 596135862695467 * c134122(1677469957......) n=217066: c108532(9090909090......) = 495550018516877 * c108518(1834508879......) n=217085: c157829(2903041761......) = 288199579480231 * c157815(1007302566......) n=108559: c96589(1468863773......) = 337183881642631 * c96574(4356269244......) n=108561: c72357(1032351845......) = 819954649643839 * c72342(1259035296......) n=217153: c211242(6907566778......) = 970877681163529 * x211227(7114765240......) n=108583: c103794(2825499782......) = 145222822960471 * c103780(1945630669......) n=217164: c72385(1009998990......) = 531889658191189 * c72370(1898888189......) n=217175: c138224(9340892907......) = 821804649955801 * c138210(1136631790......) n=217196: c93073(1009999999......) = 137550995673841 * c93058(7342731290......) n=217204: c100212(1805550777......) = 446891004281749 * c100197(4040248652......) n=217209: c136257(1109999999......) = 689795398594747 * c136242(1609172810......) n=217215: c115769(2373058517......) = 141986870401951 * c115755(1671322503......) n=43446: c13337(5133710884......) = 211369702656451 * c13323(2428782753......) n=217232: c108600(8176506693......) = 133070523105601 * c108586(6144491283......) n=108623: c102878(4050181869......) = 394181762687957 * c102864(1027490932......) n=217247: c213086(7204281366......) = 400912262885801 * x213072(1796972064......) n=217274: c108636(9090909090......) = 388527045010037 * c108622(2339839454......) n=217283: c197508(7529639230......) = 120751420352201 * x197494(6235652722......) n=217282: c97914(6973197747......) = 340536735039437 * c97900(2047707935......) n=217293: c144850(1851612214......) = 373488108357151 * c144835(4957620264......) n=217323: c144828(9999999999......) = 145946964703213 * c144814(6851804023......) n=72442: c34907(3639079768......) = 121360241776339 * c34893(2998576564......) n=217340M: c43464(3576409999......) = 307364914105061 * x43450(1163571323......) n=217345: c163568(1038064329......) = 126271325868871 * c163553(8220903059......) n=217340M: x43450(1163571323......) = 930630812761801 * c43435(1250303888......) n=217359: c144895(1149019424......) = 143440406370307 * c144880(8010430625......) n=217364: c93073(1000000000......) = 580005121553621 * c93058(1724122706......) n=217426: c98821(1099999999......) = 461804555941499 * c98806(2381960043......) n=217444: c108720(9900990099......) = 498831965826241 * c108706(1984834729......) n=108733: c108023(2069284234......) = 303256085391839 * c108008(6823553868......) n=217475: c173960(9999900000......) = 102245953455551 * c173946(9780240353......) n=217476: c62051(2857227096......) = 149042482380541 * c62037(1917055493......) n=217474: c100224(9090909090......) = 686401932790397 * c100210(1324429413......) n=217478: c108733(2090070763......) = 296729243666333 * c108718(7043696595......) n=108745: c68536(1417664639......) = 353894786627201 * c68521(4005892973......) n=217531: c204143(1257906015......) = 663303442458277 * x204128(1896426183......) n=72510: c19323(1568762121......) = 575762377185451 * c19308(2724669383......) n=217563: c141858(3644263420......) = 127091315767093 * c141844(2867437006......) n=217566: c67384(3058088086......) = 472351694425921 * c67369(6474176175......) n=108789: c72492(5347270138......) = 258053011853089 * c72478(2072159553......) n=217590: c58016(9100090999......) = 100968284871331 * c58002(9012821215......) n=217592: c106721(1000099999......) = 715004381253353 * c106706(1398732687......) n=217620M: c25920(9999000049......) = 184833930518641 * c25906(5409721051......) n=217623: c120941(6434507751......) = 137085246423973 * c120927(4693800332......) n=217620L: c25902(1760388029......) = 245272769054821 * c25887(7177266504......) n=217626: c64920(1663207195......) = 186839755536001 * c64905(8901784263......) n=217627: x216552(4201808229......) = 489099080392987 * x216537(8590914188......) n=217634: c99072(9090909090......) = 190824072121607 * c99058(4764026356......) n=217639: c215424(9000000000......) = 268728830719529 * x215410(3349101016......) n=217665: c99354(5737023793......) = 176891784547591 * c99340(3243239254......) n=18139: c15352(9835479601......) = 375687510041317 * c15338(2617994833......) n=217670: c87065(1099989000......) = 471913382696521 * c87050(2330912918......) n=217742: c91772(1830814668......) = 445039912508801 * c91757(4113821292......) n=108871: c91787(2851866499......) = 843218900947403 * c91772(3382118802......) n=18145: c13658(2992541101......) = 815251973073961 * c13643(3670694706......) n=36292: c17627(1609159481......) = 233593346946481 * c17612(6888721370......) n=217773: c145165(1501787651......) = 113612470271281 * x145151(1321851068......) n=217773: x145151(1321851068......) = 629556165561151 * c145136(2099655504......) n=217777: x182819(2074426262......) = 442142195466203 * x182804(4691762703......) n=217799: c216855(1801800984......) = 308660489621129 * x216840(5837485018......) n=217811: c197978(3514293575......) = 617475414483643 * x197963(5691390285......) n=72605: c53569(1111099999......) = 337023128612431 * c53554(3296806378......) n=217833: c105594(4246370171......) = 674890547825803 * c105579(6291939019......) n=217862: c107713(1099999999......) = 534004811990623 * c107698(2059906531......) n=217854: c54415(6869139432......) = 863542853820739 * c54400(7954601676......) n=217866: c65995(2088434890......) = 192775659496597 * c65981(1083349887......) n=217941: c145272(5496766943......) = 297786632348203 * c145258(1845874309......) n=217947: c145296(9009009009......) = 241748810973991 * c145282(3726599097......) n=217959: c122107(1033336496......) = 187652236532083 * c122092(5506656970......) n=72652: c35361(1009999999......) = 643256705341561 * c35346(1570135206......) n=217971: c128283(3297682566......) = 358453371839707 * c128268(9199753232......) n=217988: c108971(6440251032......) = 108848401455041 * c108957(5916716227......) n=217986: c71024(9100000000......) = 727423054247731 * c71010(1250991420......) n=217994: c89232(9090910000......) = 483700799771533 * c89218(1879449032......) # 209479 of 300000 Phi_n(10) factorizations were cracked. -- Mar 4, 2023 (Makoto Kamada) -- n=218015: c149444(6315387777......) = 165753168445831 * c149430(3810115870......) n=218024: c109008(9999000099......) = 265481251812449 * c108994(3766367693......) n=218025: c103662(4821048383......) = 468660885303601 * c103648(1028685886......) n=109015: c87208(9000090000......) = 302415148823311 * c87194(2976071151......) n=218040: c54905(1626515246......) = 452504746934161 * c54890(3594471123......) n=218053: c193201(1111111111......) = 972900360430351 * x193186(1142060540......) n=218073: c144126(1311673985......) = 205674189174481 * c144111(6377436035......) n=218071: c186906(1875952624......) = 919022298666403 * x186891(2041248212......) n=218078: c90720(9090910000......) = 176914638478607 * c90706(5138585522......) n=109039: c90715(2547502390......) = 331786925345093 * c90700(7678127724......) n=218100M: c29026(2212322299......) = 144405412819201 * c29012(1532021726......) n=218118: c72679(1804568223......) = 559609911808663 * c72664(3224689530......) n=218124: c70834(2335339611......) = 266307936235921 * x70819(8769320375......) n=218124: x70819(8769320375......) = 299031065580781 * c70805(2932578378......) n=218122: c108301(1099999999......) = 863933866555967 * c108286(1273245606......) n=218138: c105270(6812682425......) = 296283761919037 * c105256(2299377590......) n=218144: c102401(1000000000......) = 941281778897377 * c102386(1062381130......) n=218153: c198139(2546626827......) = 178324396662361 * x198125(1428086607......) n=31165: c23761(1111099999......) = 105799433596711 * c23747(1050194658......) n=218179: c201228(1537271201......) = 320673149118323 * x201213(4793888125......) n=109093: c108094(1401655039......) = 108470812729519 * c108080(1292195572......) n=218215: c165313(1111099999......) = 203351547569431 * c165298(5463936779......) n=218214: c72570(1432080229......) = 373527311516731 * c72555(3833937132......) n=218217: c145476(9009009009......) = 615240533650507 * c145462(1464306806......) n=218242: c109104(1745058274......) = 486894686204131 * c109089(3584056929......) n=218272: c103086(3210082910......) = 269876794769089 * c103072(1189462366......) n=218274: c62341(2064209883......) = 207213531907579 * c62326(9961752328......) n=218297: c205440(9000000000......) = 615882739791373 * x205426(1461317133......) n=218303: c216997(1213010631......) = 162210064670483 * x216982(7478023225......) n=218305: c174629(1126218324......) = 156934426020601 * c174614(7176362467......) n=218308: c109152(9900990099......) = 179184510296201 * c109138(5525583702......) n=218331: c136877(1442529835......) = 161349440316409 * c136862(8940408054......) n=218342: c109158(1513428037......) = 430011923504729 * c109143(3519502494......) n=218345: c174672(9000090000......) = 849906586709161 * c174658(1058950494......) n=218346: c72000(9100000000......) = 535412764970971 * c71986(1699623280......) n=218365: c140534(6042842640......) = 239807572597111 * c140520(2519871485......) n=218372: c84933(3184103245......) = 133032558474509 * c84919(2393476666......) n=218370: c55978(1725588511......) = 296605355262481 * c55963(5817792836......) n=218374: c97622(9980340806......) = 252132885418571 * c97608(3958365363......) n=109191: c68473(1456400123......) = 635178407363557 * c68458(2292899296......) n=218393: c187152(9999999000......) = 157048504183159 * x187138(6367458927......) n=218406: c71798(9795585283......) = 686950432261369 * c71784(1425952270......) n=218407: c182391(1374734238......) = 869826555837947 * x182376(1580469381......) n=218448: c69120(9999999999......) = 305963736553441 * c69106(3268361183......) n=218465: c161281(1111099999......) = 835193349653911 * c161266(1330350631......) n=109241: c99300(9000000000......) = 918326201981387 * c99285(9800439082......) n=218494: c108110(3446539188......) = 438935655079013 * c108095(7852037419......) n=218499: c144475(2540051579......) = 146693480913883 * c144461(1731536782......) n=109255: c87400(9000090000......) = 589572193836751 * c87386(1526545874......) n=109261: c106252(2893234127......) = 225275093097347 * c106238(1284311588......) n=218532: c72841(1009998990......) = 796717256449069 * c72826(1267700657......) n=218537: c198660(9000000000......) = 639088680136787 * x198646(1408255267......) n=218553: c144619(1269713445......) = 509263660422973 * c144604(2493233944......) n=218560: c87265(4465471304......) = 490234076151041 * c87250(9108855385......) n=218573: c210993(1148809443......) = 155715611855959 * x210978(7377612495......) n=109293: c68545(1109999999......) = 115562371735969 * c68530(9605202656......) n=218604: c72833(3047136529......) = 177659219405401 * c72819(1715158121......) n=218612: c100779(9310132567......) = 710464059431369 * c100765(1310429773......) n=218643: c140982(2371486393......) = 226916701684879 * c140968(1045091161......) n=109323: c72859(2286796264......) = 736395936678361 * c72844(3105389574......) n=218720: c87425(1000000000......) = 114395516195201 * x87410(8741601360......) n=218720: x87410(8741601360......) = 432823547825281 * c87396(2019668616......) n=218721: c145796(2405031763......) = 508325941131199 * c145781(4731278828......) n=218763: c143843(5525958174......) = 622851935626117 * c143828(8872025369......) n=218770: c86305(2476772031......) = 215416341876611 * c86291(1149760510......) n=218777: c201927(3554326900......) = 228320776454317 * x201913(1556725128......) n=218799: c118794(3261309221......) = 168246354868453 * c118780(1938413003......) n=218820M: c24951(1911309589......) = 266963694116281 * c24936(7159436401......) n=218830: c86106(5934805272......) = 164149844121481 * x86092(3615480297......) n=218830: x86092(3615480297......) = 288451108500761 * c86078(1253411823......) n=218834: c82320(9999999999......) = 731747934566419 * c82306(1366590806......) n=218845: c151360(9000090000......) = 168103053813641 * c151346(5353912256......) n=218855: c134775(2551790091......) = 287811772120601 * c134760(8866176919......) n=109429: c99841(1111111111......) = 226093755601787 * c99826(4914382125......) n=109431: c62209(1000000000......) = 100580418571249 * c62194(9942293084......) n=109435: c85345(1111099999......) = 777745772690401 * c85330(1428615929......) n=218893: c215721(7452751830......) = 552401687964449 * x215707(1349154427......) n=218897: c187612(2261563900......) = 578186585460961 * x187597(3911477640......) n=218932: c93745(1000000000......) = 979060223534149 * c93730(1021387628......) n=218959: c202095(3183363196......) = 125119856104517 * x202081(2544251004......) n=109489: c108315(3870058301......) = 269773699288031 * c108301(1434557301......) n=109501: c93822(7900826558......) = 217835131939769 * c93808(3626975358......) n=219043: c199120(9000000000......) = 243756870372511 * x199106(3692203623......) n=219049: c214864(9000000000......) = 270902794045151 * x214850(3322224870......) n=219060M: c29178(5163521259......) = 224184409681321 * c29164(2303247254......) n=219063: c130552(9745307217......) = 100017806401111 * c130538(9743572237......) n=109529: c93876(9000000900......) = 795694041962947 * c93862(1131088135......) n=219069: c144001(1001000999......) = 109666281395089 * c143986(9127700759......) n=219070: c82944(9091000000......) = 819302476273441 * c82930(1109602407......) n=54769: c45811(2606456048......) = 451448350530893 * c45796(5773542078......) n=219078: c72988(7679937542......) = 110409322407481 * c72974(6955877796......) n=219099: c144937(1109999999......) = 682384107620959 * c144922(1626649840......) n=219100M: c37433(2561109019......) = 648327688045801 * c37418(3950331085......) n=219107: c185473(1111110999......) = 409414723598119 * x185458(2713900932......) n=54783: c36480(1932900345......) = 953157968229529 * c36465(2027890874......) n=219140M: c43805(1302089016......) = 282216394188401 * x43790(4613796515......) n=219140M: x43790(4613796515......) = 569934925912901 * c43775(8095304053......) n=219138: c73036(1648472488......) = 886178363969023 * c73021(1860203945......) n=219153: c127672(2219671049......) = 110241768298003 * c127658(2013457406......) n=219155: c171788(7554652674......) = 133259440582271 * c171774(5669131313......) n=219160: c87618(3758446282......) = 334529500628161 * c87604(1123502195......) n=109587: c73056(9009009009......) = 126427070786197 * c73042(7125854417......) n=219176: c109578(4147350221......) = 253661193045089 * c109564(1634995945......) n=219180L: c26874(1227170617......) = 216310312863061 * c26859(5673195149......) n=109593: c64783(5222166119......) = 996501743297677 * c64768(5240498729......) n=219195: c116869(1302122980......) = 359842080673711 * c116854(3618595630......) n=219221: c218107(2052718369......) = 638140600045849 * x218092(3216718022......) n=219241: c188641(1111111111......) = 148248124976843 * x188626(7494942086......) n=219241: x188626(7494942086......) = 496264420871759 * x188612(1510271897......) n=109637: c99642(1697574461......) = 631911836216387 * c99627(2686410293......) n=219286: c108234(3344185722......) = 173531030538769 * c108220(1927139896......) n=219332: c109653(4695789816......) = 844491310589681 * c109638(5560495125......) n=109669: c93984(1809288877......) = 128406001291121 * c93970(1409037629......) n=109671: c72313(1109999999......) = 186916477144963 * c72298(5938481277......) n=219355: c166167(7438039788......) = 923927473809551 * c166152(8050458503......) n=109685: c87744(9000090000......) = 297217155362921 * c87730(3028119285......) n=219376: c109657(4303331176......) = 133439587237601 * c109643(3224928423......) n=219370: c87732(1771912069......) = 963892772905721 * c87717(1838287534......) n=219421: c215644(9000000000......) = 138299326384837 * x215630(6507623887......) n=219426: c73123(4047994277......) = 471854654745037 * c73108(8578900805......) n=219434: c109716(9090909090......) = 626965060550641 * c109702(1449986556......) n=219450: c43181(5396905946......) = 135689213802451 * c43167(3977402326......) n=109726: c54102(1020474402......) = 488552265924797 * c54087(2088772223......) n=219466: c96612(3053637970......) = 377861734091167 * c96597(8081363352......) n=219480: c55670(7738137118......) = 310965185570401 * x55656(2488425546......) n=219480: x55656(2488425546......) = 768509159862481 * c55641(3237990744......) n=219499: c188119(1563732992......) = 109245571561813 * x188105(1431392568......) n=219501: c141288(9999999999......) = 298344137526613 * c141274(3351833920......) n=219509: c218301(1720425988......) = 410213351615227 * x218286(4193978528......) n=109767: c62713(1109999889......) = 131526858166999 * c62698(8439340104......) n=219530: c84672(9091000000......) = 733723153078291 * c84658(1239023187......) n=219536: c109743(1670755895......) = 145801352559041 * c109729(1145912480......) n=219545: c166308(2031913807......) = 237494956608271 * c166293(8555608240......) n=109779: c66509(2968315597......) = 271699948333747 * c66495(1092497667......) n=73196: c35281(1009999999......) = 283905551595229 * c35266(3557521134......) n=109811: c101341(2799545914......) = 836412553693601 * c101326(3347087394......) n=219627: c139913(2681018735......) = 238559883600187 * c139899(1123834693......) n=219633: c145249(1109999999......) = 395224816585369 * c145234(2808528091......) n=219644: c107164(4889906657......) = 458484734045641 * x107150(1066536417......) n=219644: x107150(1066536417......) = 794523112903921 * c107135(1342360467......) n=219662: c109830(9090909090......) = 340609190130533 * c109816(2669014622......) n=109833: c70782(8620129816......) = 247222972293721 * c70768(3486783504......) n=219668: c109825(2560938512......) = 191099907506701 * c109811(1340104527......) n=219670: c79835(1034618934......) = 495602696474051 * c79820(2087597468......) n=219708: c68736(9999990000......) = 300161175495409 * c68722(3331540124......) n=219710: c86675(4828531764......) = 714175638726131 * c86660(6760986377......) n=219722: c108001(1099999999......) = 183293631113167 * c107986(6001299626......) n=219742: c98560(9090909090......) = 453210270388607 * c98546(2005892117......) n=219774: c73257(1098901098......) = 297932833097371 * c73242(3688418921......) n=109887: c73232(2171535447......) = 908735858750677 * c73217(2389622271......) n=219785: c173825(1111099999......) = 806453140413871 * c173810(1377761390......) n=219793: c177210(1263815127......) = 205430114297311 * c177195(6152044125......) n=109917: c68891(4034522578......) = 236786272920649 * c68877(1703866752......) n=219838: c109905(1786342815......) = 102815167398767 * c109891(1737431217......) n=109921: c91673(4211778451......) = 260929569327169 * c91659(1614143794......) n=219845: c175872(9000090000......) = 508671528951841 * c175858(1769332366......) n=219854: c106921(1099999999......) = 551597216517007 * c106906(1994208757......) n=219856: c86400(9999999900......) = 617052114806401 * c86386(1620608642......) n=219876: c72000(9901000000......) = 417354003644761 * c71986(2372326589......) n=219882: c67623(1524564731......) = 418025212152601 * c67608(3647064070......) n=219928: c106849(1000099999......) = 107952581617889 * c106834(9264252739......) n=219934: c92160(9090909091......) = 118218499867183 * c92146(7689920867......) n=219972: c70048(9901000000......) = 148295343324769 * c70034(6676541405......) n=219966: c72000(9100000000......) = 863344927342201 * c71986(1054039898......) n=109989: c66001(1000000000......) = 158596139599921 * c65986(6305323714......) # 209426 of 300000 Phi_n(10) factorizations were cracked. -- Mar 2, 2023 (anonymous) -- # via Kurt Beschorner n=535: c420(1501992623......) = 5524033451004407234027306056468463430580799351 * c374(2719014352......) # ECM B1=11e6, sigma=18425523954857577889 -- Mar 2, 2023 (Makoto Kamada) -- n=110003: c107280(9000000000......) = 430764866212321 * c107266(2089306883......) n=220002: c71269(2064252290......) = 897653236429783 * c71254(2299609923......) n=220022: c97920(9090909091......) = 524506102345699 * c97906(1733232282......) n=110013: c73340(9009009009......) = 292885180152883 * c73326(3075952495......) n=220064: c97141(5966067166......) = 130425157469569 * c97127(4574322379......) n=110035: c86289(7845832280......) = 113665507333991 * c86275(6902562144......) n=220072: c110006(9863758879......) = 268000226469601 * c109992(3680503934......) n=220109: c215895(2564849601......) = 541460229722759 * x215880(4736912261......) n=220136: c94321(1000099999......) = 154638194281817 * c94306(6467354359......) n=220143: c114231(1191852423......) = 208972882539961 * c114216(5703383178......) n=110081: c102955(5046765855......) = 425977084486747 * c102941(1184750551......) n=110089: c94334(1183135981......) = 225669317923547 * c94319(5242786180......) n=220202: c105293(1099999999......) = 713246789877641 * c105278(1542243183......) n=220215: c114816(9009099100......) = 142228459810441 * c114802(6334244997......) n=220251: c146823(1125079049......) = 177046792020037 * c146808(6354698870......) n=220252: c99835(1123823944......) = 143660770005241 * c99820(7822761529......) n=220258: c110128(9090909090......) = 171861097093823 * c110114(5289684078......) n=220281: c145201(1109999999......) = 649641264420133 * c145186(1708635305......) n=220282: c108733(1099999999......) = 980212369273133 * c108718(1122205793......) n=220320: c55278(2399965849......) = 211177671341761 * c55264(1136467617......) n=220326: c73417(4006818506......) = 287677703467729 * c73403(1392815104......) n=220329: c146880(9990000009......) = 491945343403879 * c146866(2030713400......) n=220363: c174231(7228619835......) = 135027007797397 * c174217(5353462209......) n=220374: c56161(1000000000......) = 164828546863597 * c56146(6066910253......) n=110187: c56147(1320868025......) = 284426121149479 * c56132(4643975807......) n=110199: c72562(4697024926......) = 122995359893929 * c72548(3818863516......) n=110197: c109506(3002356937......) = 672337446615239 * c109491(4465550674......) n=220430: c72853(8391298171......) = 520088018142491 * c72839(1613438087......) n=220448: c108896(9999999999......) = 257075296317761 * c108882(3889910910......) n=220467: c135641(6454829250......) = 287166466226797 * c135627(2247765672......) n=220485: c117578(1048813595......) = 323160906353281 * c117563(3245484138......) n=220480: c79872(9999999999......) = 712078972858241 * c79858(1404338617......) n=220500M: c25190(1569380051......) = 701706959824501 * c25175(2236517722......) n=220524: c64769(1009998990......) = 159189853279549 * c64754(6344619139......) n=220526: c108611(7784543396......) = 122474257207373 * c108597(6356065000......) n=220527: c145009(1001000999......) = 253733422866769 * x144994(3945089254......) n=220527: x144994(3945089254......) = 516512481761827 * c144979(7637935952......) n=55135: c44088(2582425472......) = 290065703868041 * c44073(8902898336......) n=220541: x207539(5014291665......) = 993031166177107 * x207524(5049480657......) n=220577: x189023(2553573219......) = 258708213045409 * x189008(9870476043......) n=220635: c117649(1001000999......) = 928341127633951 * c117634(1078268505......) n=220652: c110324(9900990099......) = 396896461970609 * c110310(2494602761......) n=110327: c94560(9000000900......) = 124543282452107 * c94546(7226404124......) n=220678: c110288(1487514048......) = 688405874803183 * c110273(2160809637......) n=55170: c14669(3713341216......) = 211376377920241 * c14655(1756743706......) n=220685: c158400(9000090000......) = 204540753515401 * x158386(4400145128......) n=220685: x158386(4400145128......) = 252012107455751 * c158372(1746005448......) n=220682: c85912(7861567656......) = 607257780587459 * c85898(1294601388......) n=110345: c85102(3369153375......) = 447136031062751 * c85087(7534962832......) n=110347: c103840(9000000000......) = 146972987597867 * c103826(6123574234......) n=220694: c103841(1099999999......) = 774395942557903 * c103826(1420461987......) n=220700M: c44121(1010050200......) = 523655788249001 * c44106(1928843762......) n=220705: c171639(1172080888......) = 849027661022551 * c171624(1380497882......) n=220707: c145239(2285311560......) = 469048582217521 * c145224(4872227840......) n=220752: c62190(7440583921......) = 212473879691473 * c62176(3501881705......) n=220765: c173705(2621329934......) = 615078600838151 * c173690(4261780414......) n=220806: c69532(4962020954......) = 718519403685241 * c69517(6905896944......) n=220810: c86795(4117095615......) = 104371911929891 * c86781(3944639452......) n=110406: c36771(9003627610......) = 260507589856573 * c36757(3456186292......) n=220812: c73595(1143504255......) = 662010700410349 * c73580(1727319897......) n=220817: c219876(9000000000......) = 204021878913733 * x219862(4411291596......) n=220828: c110406(2135035490......) = 145973003374949 * c110392(1462623527......) n=220850: c75560(3522971170......) = 653870430687601 * c75545(5387873506......) n=220860M: c29354(5776224925......) = 175720970232361 * c29340(3287157428......) n=220899: c123540(2429265250......) = 199686601396591 * c123526(1216538933......) n=220904: c108145(6856843336......) = 508760613732641 * c108131(1347754356......) n=110455: c88360(9000090000......) = 696087111329681 * c88346(1292954553......) n=220954: c110476(9090909090......) = 525595051787213 * c110462(1729641300......) n=220963: c218088(9000000000......) = 944701706168747 * x218073(9526816709......) n=110489: c109824(9000000000......) = 819887039494013 * c109810(1097712192......) n=220990: c67188(9050931778......) = 326569102863851 * c67174(2771521157......) n=220995: c117745(5558663909......) = 360046586821321 * c117731(1543873518......) n=221012: c100416(1749745007......) = 235113692540189 * c100401(7442122953......) n=221010: c57399(8370586619......) = 433331003563531 * c57385(1931684220......) n=110511: c73656(9999999990......) = 129115588736161 * c73642(7744998174......) n=221023: c197401(1111111111......) = 378531287095369 * x197386(2935321726......) n=221033: c217668(9000000000......) = 146999756072681 * x217654(6122459139......) n=221036: c110516(9900990099......) = 337439695327649 * c110502(2934150971......) n=221045: c160702(2916766034......) = 177544226411641 * c160688(1642839135......) n=221052: c67374(4025691822......) = 182192021965669 * c67360(2209587323......) n=221053: c181105(1111110999......) = 361884675266437 * x181090(3070345543......) n=221081: c189492(9000000900......) = 536631713110151 * x189478(1677128034......) n=221085: c110969(7295398186......) = 606206352176281 * c110955(1203451293......) n=73698: c24070(1490651110......) = 106852358745757 * c24056(1395056812......) n=221094: c72232(4052416704......) = 331427692488493 * c72218(1222715179......) n=221110: c88408(1729655427......) = 418123929034171 * c88393(4136705190......) n=221119: c208084(4998956708......) = 146786575588801 * x208070(3405595292......) n=110561: c91066(3835707300......) = 233131784370827 * c91052(1645295733......) n=221133: c133991(3028235753......) = 503176634623213 * x133976(6018236033......) n=221133: x133976(6018236033......) = 589883148840547 * c133962(1020242067......) n=221146: c110572(9090909090......) = 214034166891731 * c110558(4247410225......) n=221153: c208128(9000000000......) = 197034240915439 * x208114(4567733992......) n=110575: c88440(9999900000......) = 281519952492601 * x88426(3552110573......) n=110575: x88426(3552110573......) = 298070097543601 * c88412(1191703093......) n=221183: c212744(9999999999......) = 185897133226919 * x212730(5379319103......) n=221187: c138707(1282573015......) = 179003347837441 * c138692(7165078365......) n=221190: c57601(1098890109......) = 344231543560561 * c57586(3192299283......) n=221214: c60193(1098900989......) = 455875571187037 * c60178(2410528351......) n=110619: c69115(4519998738......) = 434435046040693 * c69101(1040431424......) n=110621: c94812(9000000900......) = 270755105827123 * c94798(3324037370......) n=110631: c73740(4208068598......) = 116894302818637 * c73726(3599891951......) n=221263: c186617(5230911798......) = 111155819408159 * x186603(4705927072......) n=221272: c104065(1000099999......) = 277633346381113 * c104050(3602232991......) n=221275: c172641(1000010000......) = 122245577649001 * c172626(8180336821......) n=221280: c58873(1065839904......) = 122995652960641 * c58858(8665671338......) n=221276: c97520(9900990099......) = 688239330515309 * c97506(1438596961......) n=221290: c88486(1250187909......) = 225367732295131 * c88471(5547324352......) n=221297: c215270(3936706425......) = 194371136757911 * x215256(2025355457......) n=110653: c99258(1195404716......) = 749085774604529 * c99243(1595818204......) n=221333: c189672(9999999000......) = 147936421246517 * x189658(6759659937......) n=221352: c70378(3246491054......) = 234150304804081 * c70364(1386498752......) n=221384: c110683(2258288204......) = 115496121796369 * c110669(1955293536......) n=110695: c81121(1000000000......) = 399347028140191 * c81106(2504087747......) n=221392: c108784(2996809342......) = 437747610953921 * c108769(6845975322......) n=221398: c105865(1099999999......) = 452467043009183 * c105850(2431116292......) n=221400: c57559(2034771129......) = 517886298723601 * c57544(3928992008......) n=221407: c204121(1111111111......) = 498163922063809 * x204106(2230412645......) n=110705: c75889(1111099888......) = 963464436213161 * c75874(1153233941......) n=110717: c108565(7077979508......) = 180695824667837 * c108551(3917068654......) n=221438: c94897(1099999890......) = 115572685349969 * c94882(9517818909......) n=221455: c163452(8236203035......) = 135329598543361 * c163438(6086032267......) n=221468: c102181(3165471014......) = 728960294210201 * c102166(4342446412......) n=221474: c100661(1099999999......) = 207076627500931 * c100646(5312043243......) n=221505: c118116(4454240100......) = 618845230230961 * c118101(7197664104......) n=221510: c83328(9091000000......) = 144825021377011 * c83314(6277230214......) n=221508: c63050(1613919788......) = 644697378227701 * c63035(2503375759......) n=221515: c151866(2786617435......) = 122441714490481 * c151852(2275872603......) n=221512: c110743(1313195064......) = 410216265262081 * c110728(3201226220......) n=221530: c88609(1099989000......) = 184403525008481 * c88594(5965119159......) n=221533: c204470(1112535163......) = 120918266118443 * x204455(9200720445......) n=221564: c92148(2881251414......) = 191464982590561 * c92134(1504845103......) n=221574: c73850(1305137179......) = 861495548780077 * c73835(1514966828......) n=110787: c73845(2904270157......) = 944377808152573 * c73830(3075326561......) n=110793: c73842(1408220358......) = 601441834659481 * c73827(2341407392......) n=110799: c68113(1001000999......) = 930763928373319 * c68098(1075461746......) n=221602: c109997(2206157341......) = 872819859310859 * c109982(2527620467......) n=36939: c21097(1109999889......) = 454765928208733 * c21082(2440815857......) n=221639: c201480(9000000000......) = 371472196896791 * x201466(2422792358......) n=221635: c167864(5165718693......) = 904318191325511 * c167849(5712279973......) n=221643: c147735(2373361334......) = 204012862819723 * c147721(1163339066......) n=221651: c211508(9999999999......) = 757132389348563 * x211494(1320772977......) n=221663: c189285(1454614265......) = 659989012877923 * x189270(2203997699......) n=221675: c177313(2255531696......) = 324365862616951 * c177298(6953665462......) n=110839: c110160(9000000000......) = 280448308390769 * c110146(3209147543......) n=221689: c204618(1353246912......) = 188895939323677 * x204603(7163980961......) n=221690: c75984(9091000909......) = 776268660505171 * c75970(1171115281......) n=110847: c67161(1109999999......) = 269023256304199 * x67146(4126037336......) n=110847: x67146(4126037336......) = 561583186188751 * c67131(7347152547......) n=110854: c54073(1820303055......) = 112406895820213 * c54059(1619387353......) n=221716: c100761(1009999999......) = 593388111813509 * c100746(1702090048......) n=110867: c107006(9615097932......) = 357435384721999 * c106992(2690024083......) n=221733: c145305(1429437902......) = 805397435714089 * c145290(1774823011......) n=221760: c46081(1000000000......) = 763343573287681 * c46066(1310026094......) n=110888: c54435(6213998464......) = 389210189683409 * c54421(1596566233......) n=110891: c94706(1523018399......) = 360979197673733 * c94691(4219130656......) n=221809: c190116(9000000900......) = 281760974729557 * x190102(3194197105......) n=221841: c146941(1934905135......) = 329756282532163 * c146926(5867682401......) n=221838: c73928(4702020689......) = 503520888752503 * c73913(9338283266......) n=221869: c219984(1911530470......) = 350006501185751 * x219969(5461414184......) n=221877: c145690(1555804904......) = 125461897907707 * c145676(1240061668......) n=221884: c96000(9900990099......) = 259464513049561 * x95986(3815932276......) n=221884: x95986(3815932276......) = 662073480808429 * c95971(5763608401......) n=110949: c71509(1730102279......) = 987706031760997 * c71494(1751636847......) n=221901: c131328(9009009009......) = 224659204577089 * c131314(4010077853......) n=221930: c88750(1563457344......) = 283926399609851 * c88735(5506558555......) n=221967: c147952(2700943750......) = 344259769258477 * c147937(7845656076......) n=110987: c108235(1351507606......) = 330210780319529 * c108220(4092863368......) n=221978: c110977(4387842068......) = 402472698307259 * c110963(1090221047......) # 209365 of 300000 Phi_n(10) factorizations were cracked. -- Mar 1, 2023 (Makoto Kamada) -- n=222003: c139189(6258122989......) = 508926320417773 * c139175(1229671710......) n=222069: c146007(3128330471......) = 460460377511083 * c145992(6793918921......) n=222083: c221064(1911375763......) = 120924987668809 * x221050(1580629281......) n=222086: c111042(9090909090......) = 107624946107779 * c111028(8446841944......) n=222144: c67565(1521932640......) = 142077233425921 * c67551(1071200926......) n=222154: c110384(1778087357......) = 212780430347383 * c110369(8356442151......) n=222173: c179123(2468192728......) = 143248539418867 * c179109(1723014236......) n=222202: c110383(4508497620......) = 539341732768957 * c110368(8359259717......) n=222222: c51840(9100000910......) = 650314882573357 * c51826(1399322259......) n=222258: c69696(9100000000......) = 127758442909327 * c69682(7122816929......) n=222260M: c44439(9128611577......) = 297463862928121 * c44425(3068813632......) n=222270: c57109(5883719671......) = 419537653873291 * c57095(1402429464......) n=222306: c61768(7883876925......) = 210105866282929 * c61754(3752335460......) n=222312: c72384(9999000100......) = 825780596190241 * c72370(1210854329......) n=222346: c109999(3162528216......) = 112823788532899 * c109985(2803068623......) n=111179: c109584(9000000000......) = 199166366564609 * c109570(4518835260......) n=222364: c106293(5047397058......) = 103351170894269 * x106279(4883734760......) n=222364: x106279(4883734760......) = 194028313358441 * c106265(2517021704......) n=222388: c108980(5105481214......) = 145855990791781 * c108966(3500357569......) n=222392: c111192(9999000099......) = 280760982747977 * c111178(3561392328......) n=222404: c86112(9999999999......) = 184158174929821 * c86098(5430114630......) n=222430: c77945(6259906757......) = 534004473779011 * c77931(1172257362......) n=222450: c59280(9999900001......) = 147221099110801 * c59266(6792436723......) n=222454: c111226(9090909090......) = 939694005667819 * c111211(9674329128......) n=111233: c108480(9000000000......) = 245190866972839 * c108466(3670609803......) n=222488: c91392(9999000099......) = 280692784653737 * c91378(3562257616......) n=111249: c72313(1001000999......) = 105470486642161 * c72298(9490816169......) n=222503: c220191(5075143387......) = 744723489395203 * x220176(6814802352......) n=222519: c134641(1000000000......) = 291852923959147 * c134626(3426383352......) n=222529: c221184(9000000000......) = 161124037089517 * x221170(5585758749......) n=222543: c146017(1001000999......) = 283081837849957 * c146002(3536083443......) n=222583: c220315(1010857735......) = 915641272781293 * x220300(1103988827......) n=222594: c70928(9100000000......) = 110123542083847 * c70914(8263446514......) n=111295: c89016(5790935120......) = 827528283099601 * c89001(6997869726......) n=222595: c178055(1194670459......) = 522692689478231 * c178040(2285607744......) n=111313: c110425(1434674434......) = 170629580081489 * c110410(8408122637......) n=222633: c143130(3746826336......) = 304490595021427 * c143116(1230522846......) n=222645: c118716(8465606792......) = 147953426893201 * c118702(5721805145......) n=222664: c102713(1848362458......) = 338382984688633 * c102698(5462338657......) n=222662: c97440(9090909091......) = 837078715550419 * c97426(1086027983......) n=222668: c111326(7410870809......) = 381392243621549 * x111312(1943109995......) n=222668: x111312(1943109995......) = 445539534138761 * c111297(4361251576......) n=222684: c57594(1133892507......) = 126982758542641 * c57579(8929499725......) n=222689: c219890(5974351669......) = 301055502023609 * x219876(1984468521......) n=111357: c74219(8978351089......) = 404743509362557 * c74205(2218281672......) n=222753: c144795(2491543342......) = 738756119814373 * c144780(3372619564......) n=222765: c118787(2989847241......) = 166494382342471 * x118773(1795764637......) n=222765: x118773(1795764637......) = 336461748111631 * c118758(5337202957......) n=222762: c73440(9100000000......) = 748539709463011 * c73426(1215700367......) n=222797: c215574(1122097554......) = 163174479751511 * x215559(6876673093......) n=222803: c190923(1441597435......) = 366196608092449 * x190908(3936676102......) n=222815: c178230(9173853556......) = 390462628093201 * c178216(2349483124......) n=111411: c74268(9990000009......) = 246174214417489 * c74254(4058101712......) n=222826: c108764(1206208018......) = 753112488819721 * c108749(1601630615......) n=111423: c68506(7822329773......) = 493084552299613 * c68492(1586407389......) n=222858: c74251(1600797020......) = 120052670156407 * c74237(1333412258......) n=222861: c148555(8995175088......) = 169571535378307 * c148541(5304649196......) n=111438: c35963(3055986595......) = 188985593564281 * c35949(1617047383......) n=222884: c111429(5123575282......) = 111333506755321 * c111415(4602006558......) n=222897: c147441(1109999999......) = 109234024100323 * c147427(1016166903......) n=222907: c220593(1140553167......) = 115492796409559 * x220578(9875535124......) n=222951: c148632(9009009009......) = 581265509537563 * c148618(1549895677......) n=222962: c102954(8154663966......) = 277742512360219 * c102940(2936051775......) n=111489: c63697(1109999889......) = 269091686623831 * c63682(4124987668......) n=222989: c193537(1111111111......) = 217924570163249 * x193522(5098604119......) n=223000: c88801(1000000000......) = 596366758308001 * c88786(1676820490......) n=223010: c86006(1387371162......) = 715591481156171 * c85991(1938775402......) n=223046: c110799(5070654039......) = 566287577396207 * c110784(8954203202......) n=223060M: c42186(1221126697......) = 948836400161941 * c42171(1286972862......) n=223091: c190721(1111111111......) = 172814401527307 * x190706(6429505303......) n=111557: c110880(9000000000......) = 110930428507573 * c110866(8113193215......) n=111565: c87354(6224506888......) = 603205445147831 * c87340(1031904956......) n=223135: c162241(1111099999......) = 374280751541951 * c162226(2968627147......) n=223140M: c29735(5087441600......) = 222310636371961 * c29721(2288438233......) n=223148: c111572(9900990099......) = 690864761108369 * c111558(1433129992......) n=223153: c188144(3945739705......) = 271088324102191 * x188130(1455518129......) n=111583: c110857(6075216680......) = 181813475438597 * c110843(3341455668......) n=223189: c222139(1085388208......) = 299109191197111 * x222124(3628735725......) n=223193: c198703(1269883091......) = 415035455498039 * x198688(3059697852......) n=223204: c108788(6413914741......) = 341924477099389 * c108774(1875827901......) n=223208: c111587(5081694957......) = 126255930470377 * c111573(4024915849......) n=223212: c63361(1009998990......) = 112514590919149 * c63346(8976604560......) n=111609: c74400(9990000009......) = 245459288838889 * c74386(4069921353......) n=223222: c111600(1070451570......) = 169251475468133 * c111585(6324621796......) n=223224: c72776(6007880388......) = 103164123882289 * x72762(5823614026......) n=223224: x72762(5823614026......) = 646580652027913 * c72747(9006786714......) n=223238: c106248(9120946820......) = 854373868635779 * c106234(1067559198......) n=223248: c74401(1000000009......) = 477571123458193 * c74386(2093928968......) n=223271: c215528(2033512076......) = 162074858358947 * x215514(1254674597......) n=223293: c123481(1000000000......) = 207802511234683 * c123466(4812261382......) n=111647: c110384(3530377075......) = 807104630308481 * c110369(4374125662......) n=223297: c218500(9000000000......) = 134920843819561 * x218486(6670577907......) n=223297: x218486(6670577907......) = 389649519862717 * x218472(1711943058......) n=223307: c171072(9000000900......) = 389468995980919 * c171058(2310838858......) n=223357: c222389(9629633274......) = 984592032429157 * x222374(9780328255......) n=111683: c92401(1000000000......) = 521764683888163 * c92386(1916572797......) n=223371: c148877(1974694632......) = 269720037991711 * x148862(7321275227......) n=223371: x148862(7321275227......) = 288854284213333 * c148848(2534591185......) n=223377: c115920(9009009910......) = 114631068452209 * c115906(7859134553......) n=223391: c185456(4289023469......) = 180813106097849 * x185442(2372075543......) n=223404: c74465(1009998990......) = 713221575441889 * c74450(1416108296......) n=223420M: c44668(3993818663......) = 102038306828201 * c44654(3914038548......) n=223430: c89369(1099989000......) = 107307019016731 * c89355(1025085786......) n=223435: c178726(1035650267......) = 258203740459151 * c178711(4010980884......) n=223437: c146708(4193633179......) = 413970504270991 * c146694(1013027048......) n=55867: c45656(1168384806......) = 141962732453557 * c45641(8230222019......) n=223486: c110761(1099999999......) = 716452164572783 * c110746(1535343257......) n=223491: c137280(9009009009......) = 300648000758563 * c137266(2996530489......) n=223527: c149016(9009009009......) = 195026368686601 * c149002(4619379968......) n=223532: c103033(8858677248......) = 553619922626429 * c103019(1600137004......) n=111769: c95744(4135063340......) = 332884312144889 * c95730(1242192314......) n=111771: c67669(1354256949......) = 392557758531643 * c67654(3449828516......) n=223594: c95801(4264692408......) = 208724849639209 * c95787(2043212590......) n=223595: c177171(7611534552......) = 444655735364471 * c177157(1711781485......) n=111803: c106914(1829516318......) = 186026633873797 * c106899(9834700980......) n=44723: c38317(6898977431......) = 361452561499961 * c38303(1908681295......) n=111811: c95832(9000000900......) = 243427955226667 * c95818(3697192827......) n=111819: c74544(9009009009......) = 349918107124933 * c74530(2574604979......) n=223645: c178912(9000090000......) = 100533451461281 * c178898(8952333646......) n=223657: c189012(2477220293......) = 181039496372071 * x188998(1368331410......) n=111837: c67737(3938075435......) = 414448898302627 * c67722(9501956578......) n=223682: c110586(8196153321......) = 510953411646571 * c110572(1604090144......) n=223684: c111830(1934880401......) = 203533026913009 * c111815(9506468955......) n=223730: c82560(9091000000......) = 503089663546601 * x82546(1807033747......) n=223732: c111858(4917085909......) = 415840823073341 * c111844(1182444251......) n=223730: x82546(1807033747......) = 682857233349331 * c82531(2646283379......) n=223767: c139637(3227646109......) = 126382114444519 * c139623(2553878865......) n=223797: c127856(1692189948......) = 532546266974401 * c127841(3177545413......) n=223799: c222255(9413543272......) = 843589080784951 * x222241(1115892024......) n=111901: c111222(9004907929......) = 123170597379827 * c111208(7310923321......) n=223819: c212151(9873366767......) = 678889250995157 * x212137(1454341301......) n=223847: c202729(9481443385......) = 476880946071323 * x202715(1988220218......) n=223850: c79177(4309449500......) = 273930584270201 * c79163(1573190343......) n=111928: c52568(4240797405......) = 332854926619009 * c52554(1274067789......) n=223888: c95878(3852611866......) = 375305938661249 * c95864(1026525687......) n=223893: c149240(1849904743......) = 616772162210293 * c149225(2999332422......) n=223916: c87120(9900990099......) = 122154908484841 * c87106(8105274050......) n=223933: c222300(9000000000......) = 102426901351813 * x222286(8786754144......) n=223937: c191928(1793269887......) = 104228222397517 * x191914(1720522375......) n=223960: c81271(4580053944......) = 424896576060001 * c81257(1077922064......) n=223994: c111996(9090909090......) = 272281119488369 * c111982(3338795252......) # 209301 of 300000 Phi_n(10) factorizations were cracked.