Changes of Phin10.txt <September 2023>

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September 30, 2023 2023 年 9 月 30 日 (Alfred Reich)

# via Kurt Beschorner

n=1397: c1251(2433671599......) = 42753280912860246682207018891977914694531253 * c1207(5692362194......)

# ECM B1=3e6, sigma=2700694580185640

n=1531: c1488(8907144010......) = 12566287745116172507276459071791047773 * c1451(7088126733......)

# ECM B1=11e6, sigma=5544570623267430

n=1599: c940(3904518412......) = 2862577930401391395910619889316394633711512313018581507 * c886(1363986765......)

# ECM B1=11e6, sigma=6089901937320443

n=1767: c1065(2678934258......) = 483943241304135729834698379237261842968518721 * c1020(5535637302......)

# ECM B1=11e6, sigma=6508969139304757

n=1781: c1603(1441668407......) = 8220544273496770607902160518576278883 * c1566(1753738388......)

# ECM B1=1e6, sigma=470885766431294

n=1797: c1154(6631516849......) = 166158350791930527176560688830248751 * c1119(3991082493......)

# ECM B1=11e6, sigma=6774221078601470

n=1877: c1850(4617184123......) = 5274635738203309898521707672683717 * c1816(8753560155......)

# ECM B1=11e6, sigma=869439302431548

n=1921: c1773(9138130364......) = 17398019158768815933518690670320603 * c1739(5252397000......)

# ECM B1=25e4, sigma=666695497488773

n=1941: c1271(2389261194......) = 287083005546980792052900030867442759 * c1235(8322544868......)

# ECM B1=11e6, sigma=6565695750550342

n=120012: c39140(2033649064......) = 1290822676431213250621 * c39119(1575467414......)

# ECM B1=25e4, sigma=7082073136894936

n=120028: c58321(1009999999......) = 2224039982674041217439861 * c58296(4541285264......)

# ECM B1=5e4, sigma=1452560207611723

n=120032: c52801(1000000000......) = 5612074078033925569 * x52782(1781872416......)

# ECM B1=5e4, sigma=2270734575376654

n=120032: x52782(1781872416......) = 4769208106796675405249 * c52760(3736201853......)

# ECM B1=5e4, sigma=3126610747099651

n=120036: c34272(9901000000......) = 28469489551543921581709 * c34250(3477758174......)

# ECM B1=5e4, sigma=7167295609781196

n=120300L: c15987(8484519872......) = 2470796774031579433501 * c15966(3433920572......)

# ECM B1=5e4, sigma=6942084770772547

n=120340L: c21826(2836192834......) = 636012640124707183801 * c21805(4459334069......)

# ECM B1=5e4, sigma=5664782293473337

n=120380M: c22169(7740844271......) = 85636987821704329141 * c22149(9039136555......)

# ECM B1=5e4, sigma=8693931113792323

n=120418: c60208(9090909090......) = 77803291971631834329769 * c60186(1168447871......)

# ECM B1=5e4, sigma=443827495785601

n=120500L: c23977(6648366461......) = 314869781054948767001 * c23957(2111465393......)

# ECM B1=5e4, sigma=3543429597547910

n=120578: c60288(9090909090......) = 117242366436079952597 * c60268(7753945410......)

# ECM B1=5e4, sigma=6260178290310934

n=120586: c60292(9090909090......) = 963470381431047722249 * x60271(9435587503......)

# ECM B1=5e4, sigma=3136274843720223

n=120586: x60271(9435587503......) = 3706030877654907036112849 * c60247(2546008874......)

# ECM B1=5e4, sigma=4519232707323569

n=120886: c60411(1500716990......) = 1889643119904783062357 * c60389(7941801152......)

# ECM B1=5e4, sigma=7791191527367504

n=120940M: c24171(1053460290......) = 10015266668940101641 * c24152(1051854459......)

# ECM B1=5e4, sigma=5158152793865842

n=120994: c60466(1351331491......) = 229264810024755885650813 * c60442(5894194975......)

# ECM B1=5e4, sigma=1612844857225237

n=121020M: c16116(2105112081......) = 27006906517066382041 * c16096(7794717547......)

# ECM B1=5e4, sigma=5865902266894138

n=121042: c60500(4817301728......) = 4526765519257666830001 * c60479(1064181855......)

# ECM B1=5e4, sigma=5095125905992672

n=121060M: c24203(2954221425......) = 26662037656372875821 * c24184(1108025374......)

# ECM B1=5e4, sigma=7613055154164289

n=121220L: c20146(1024090304......) = 1051361093130352474801 * c20124(9740614439......)

# ECM B1=5e4, sigma=6304888302046400

n=121246: c60578(3185093672......) = 41838668648324347321811 * c60555(7612798819......)

# ECM B1=5e4, sigma=5868414593277089

n=121260L: c15406(4362636466......) = 316128424048192451581 * c15386(1380020312......)

# ECM B1=5e4, sigma=5993260370200924

n=121340M: c24226(1349048796......) = 17768301917232889811681 * c24203(7592446386......)

# ECM B1=5e4, sigma=8422303566039658

n=121700M: c24304(9020455682......) = 122145723831568207194001 * c24281(7384995069......)

# ECM B1=5e4, sigma=5955655906050229

n=121740M: c16224(3913542626......) = 29321603423079782821 * c16205(1334695981......)

# ECM B1=5e4, sigma=581964585115762

n=121740L: c16202(4865749678......) = 17024896228292977522681 * c16180(2858020168......)

# ECM B1=5e4, sigma=7153228046866904

n=121834: c60916(9090909090......) = 10363455853022450820881 * c60894(8772082613......)

# ECM B1=5e4, sigma=8241773149157863

n=122300M: c24441(1010050200......) = 663093826503355889801 * c24420(1523238733......)

# ECM B1=5e4, sigma=78017787476573

n=122306: c61139(1343050959......) = 2510757900157957721 * c61120(5349185437......)

# ECM B1=5e4, sigma=5792515536606934

n=122340M: c16266(1352311742......) = 2548518122431957840261 * c16244(5306266926......)

# ECM B1=5e4, sigma=6053887429288220

n=122420L: c24448(1428758436......) = 10613800350471820266581 * c24426(1346132760......)

# ECM B1=5e4, sigma=915608940650158

n=122580L: c16272(9999000049......) = 17108733125306543687101 * c16250(5844383670......)

# ECM B1=5e4, sigma=3078074158891208

n=122620L: c24501(2316405068......) = 677361444798653047261 * c24480(3419747442......)

# ECM B1=5e4, sigma=2020731521400779

n=122700L: c16315(8068800577......) = 808700989811131892953820101 * c16288(9977483247......)

# ECM B1=5e4, sigma=5192964575956126

n=122820M: c15455(2323122208......) = 1157075633370602333109721 * c15431(2007753116......)

# ECM B1=5e4, sigma=2690020011983308

n=122938: c61420(3371774105......) = 3136093341791677621961 * c61399(1075151067......)

# ECM B1=5e4, sigma=8388637057367796

n=122940M: c16355(9674806150......) = 490106895928819716961 * c16335(1974019592......)

# ECM B1=5e4, sigma=8160705861950389

n=123020L: c24595(4591215100......) = 106854750827000553161 * c24575(4296687854......)

# ECM B1=5e4, sigma=2219308052936281

n=123086: c61536(1758527977......) = 24076780759187556946459 * x61513(7303833492......)

# ECM B1=5e4, sigma=3476643340469955

n=123086: x61513(7303833492......) = 1574565542538497993651 * c61492(4638634147......)

# ECM B1=5e4, sigma=4078998473952767

n=123218: c61592(2856684199......) = 143137774505265869447 * c61572(1995758428......)

# ECM B1=5e4, sigma=7443304421568405

n=123334: c61666(9090909090......) = 24336340098901316459 * c61647(3735528454......)

# ECM B1=5e4, sigma=4150783634684005

n=123580L: c23896(1157982978......) = 44223700654008719761 * c23876(2618466933......)

# ECM B1=5e4, sigma=8291332875401533

n=123700M: c24714(1482154634......) = 59620573864710260071801 * c24691(2485978477......)

# ECM B1=5e4, sigma=5171937557132574

n=123818: c61908(9090909090......) = 44704208359178073643783 * c61886(2033568969......)

# ECM B1=5e4, sigma=5720157460720361

n=124020L: c14959(5401056163......) = 6861965011167002806052101 * c14934(7871005104......)

# ECM B1=5e4, sigma=101943038648390

n=124142: c62036(8928046816......) = 16486849837426558418051 * c62014(5415253310......)

# ECM B1=5e4, sigma=1237726817758495

n=124198: c62092(1060824572......) = 2123139070750786981171 * c62070(4996491220......)

# ECM B1=5e4, sigma=5483826114401244

n=124378: c62188(9090909090......) = 34070440089448242834917 * c62166(2668268759......)

# ECM B1=5e4, sigma=2751962945867470

n=124380L: c16522(1353756340......) = 8025245074143390601 * c16503(1686872273......)

# ECM B1=5e4, sigma=8727415026342081

n=124382: c62176(1362628035......) = 5937715743730747573 * c62157(2294869094......)

# ECM B1=5e4, sigma=2035740472920339

n=124402: c62200(9090909090......) = 12749841459395590765091 * c62178(7130213438......)

# ECM B1=5e4, sigma=1270769141345552

n=124426: c62180(1082410202......) = 245518833547931007721 * c62159(4408664650......)

# ECM B1=5e4, sigma=2821929922467602

n=124540L: c22910(2807876750......) = 871118267872071357841 * c22889(3223301421......)

# ECM B1=5e4, sigma=1526322355135516

n=124594: c62275(1085352222......) = 277749584123541591209 * c62254(3907664617......)

# ECM B1=5e4, sigma=4320607915164847

n=124694: c62346(9090909090......) = 273997243733494516661303 * c62323(3317883408......)

# ECM B1=5e4, sigma=2596659388213291

n=124820L: c24643(1335254319......) = 7286112857166619885584481 * c24618(1832601752......)

# ECM B1=5e4, sigma=2124282061016285

n=124860L: c16624(4498962048......) = 19715519748070904092201 * c16602(2281939358......)

# ECM B1=5e4, sigma=734489692193748

n=124940M: c24962(1376978447......) = 131405081971831055081 * c24942(1047888275......)

# ECM B1=5e4, sigma=7576146088047975

n=125100M: c16535(2111878618......) = 19564232566602163325401 * c16513(1079458962......)

# ECM B1=5e4, sigma=5678781341658154

n=125254: c62576(1540308750......) = 1340075462271563521967 * c62555(1149419412......)

# ECM B1=5e4, sigma=1114544426873807

n=125340M: c16693(1319833231......) = 195843022928667172621 * c16672(6739240500......)

# ECM B1=5e4, sigma=7071616034526727

n=125374: c62672(7899282024......) = 4442280796963456479367823 * c62648(1778204121......)

# ECM B1=5e4, sigma=2095036375003127

n=125540L: c25086(4360094594......) = 636518002511847293858101 * c25062(6849915598......)

# ECM B1=5e4, sigma=1456223904086983

n=125580L: c12651(3489456692......) = 26848385463525030514201 * c12629(1299689583......)

# ECM B1=5e4, sigma=4140226100885405

n=125806: c62902(9090909090......) = 69121955696516462557 * c62883(1315198477......)

# ECM B1=5e4, sigma=6356950828995406

n=126020M: c25179(6911225365......) = 2380694419857791008481 * c25158(2903029178......)

# ECM B1=5e4, sigma=5751312942070683

n=126100M: c23002(2255669390......) = 146512935496464907051501 * c22979(1539570129......)

# ECM B1=5e4, sigma=8582127119066365

n=126460L: c25281(5121938961......) = 1951196632168728975341 * x25260(2625024498......)

# ECM B1=5e4, sigma=5080607105809108

n=126460M: c25263(8643979322......) = 122998390715912309045741 * c25240(7027717413......)

# ECM B1=5e4, sigma=1812776299765983

n=126460L: x25260(2625024498......) = 55662060696076179367201 * c25237(4716003083......)

# ECM B1=5e4, sigma=527243332825467

n=126660L: c16874(5149662452......) = 16445263408588183261 * c16855(3131395541......)

# ECM B1=5e4, sigma=7291888838537429

n=126780M: c16870(2466106864......) = 649076861657564260861 * c16849(3799406526......)

# ECM B1=5e4, sigma=2468704751922565

n=126998: c63492(1704358933......) = 18879640021208349943899375961 * x63463(9027496985......)

# ECM B1=5e4, sigma=1664165815097912

n=126998: x63463(9027496985......) = 19390259107854278113969 * c63441(4655686618......)

# ECM B1=5e4, sigma=2284690911299386

n=127140M: c15518(2050579796......) = 227496268542617261461 * c15497(9013685408......)

# ECM B1=5e4, sigma=4555928624127023

n=127260L: c14378(8828896087......) = 1491195297436212061 * c14360(5920683966......)

# ECM B1=5e4, sigma=5126447640609884

n=127334: c63656(3996719524......) = 3829034942964756850331 * c63635(1043792909......)

# ECM B1=5e4, sigma=5319749737300907

n=127418: c63708(9090909090......) = 826518454098226016324531 * c63685(1099903945......)

# ECM B1=5e4, sigma=5434686543309423

n=127500M: c15994(3565061117......) = 1963661904073333721347501 * c15970(1815516770......)

# ECM B1=5e4, sigma=8205081094137696

n=127540M: c21801(2185201628......) = 9071318483985305078441 * c21779(2408912918......)

# ECM B1=5e4, sigma=6714541006417044

n=127682: c63840(9090909090......) = 204573108219906886037 * c63820(4443843655......)

# ECM B1=5e4, sigma=2331491569546462

n=127726: c63838(2757195166......) = 37929557607018299679931 * c63815(7269252110......)

# ECM B1=5e4, sigma=1456456045443281

n=127740L: c17002(4425571815......) = 128891496295689508736521 * c16979(3433563844......)

# ECM B1=5e4, sigma=8156391918261399

n=127898: c63910(1303116302......) = 4492021007165823637607 * c63888(2900957721......)

# ECM B1=5e4, sigma=6755892079811581

n=128020M: c24752(2059565664......) = 845491362807467048179021 * c24728(2435939330......)

# ECM B1=5e4, sigma=7144618342008007

n=128126: c64052(1574624236......) = 4401358114185702516811 * c64030(3577587180......)

# ECM B1=5e4, sigma=3259387154819563

n=128180M: c21489(5068405904......) = 50744585001796737968801 * c21466(9988072430......)

# ECM B1=5e4, sigma=2855435064551384

n=128220M: c17083(3052185388......) = 34648174976329124399558521 * c17057(8809079815......)

# ECM B1=5e4, sigma=4684993857287522

n=128300M: c25640(9900498007......) = 2422198870262759506301 * c25619(4087400968......)

# ECM B1=5e4, sigma=621367369785947

n=128340M: c15806(1080093763......) = 266320891762040830326121 * c15782(4055610345......)

# ECM B1=5e4, sigma=7353013651323785

n=128638: c64318(9090909090......) = 3377032410351949720561 * c64297(2691981593......)

# ECM B1=5e4, sigma=8356396040470542

n=128820L: c16084(2720124788......) = 177192725372108817695581 * c16061(1535122157......)

# ECM B1=5e4, sigma=3414041212169006

n=129060L: c17089(4972784452......) = 7771459254491413802014381 * c17064(6398778260......)

# ECM B1=5e4, sigma=2495683419290892

n=129140M: c23425(5350353958......) = 178593245903314640861 * c23405(2995832194......)

# ECM B1=5e4, sigma=8902560211734409

n=129180M: c17175(5242760186......) = 11344674776802710074561 * c17153(4621340222......)

# ECM B1=5e4, sigma=6530911612780342

n=129380L: c25859(1020184299......) = 2409011072903038141 * c25840(4234867624......)

# ECM B1=5e4, sigma=6940050708077768

n=129380M: c25857(4998129427......) = 14412394133897683713281 * c25835(3467938345......)

# ECM B1=5e4, sigma=2966679715923997

n=129620M: c25883(1535660640......) = 12278492824721210741 * c25864(1250691483......)

# ECM B1=5e4, sigma=8433182564008113

n=129700L: c25915(1272228898......) = 11558240883328273921201 * c25893(1100711527......)

# ECM B1=5e4, sigma=2698377915571242

n=129780L: c14642(3742168659......) = 8678547681578374321 * c14623(4311975686......)

# ECM B1=5e4, sigma=8079939096636383

n=129940L: c25338(8965994251......) = 138869307168443658761 * c25318(6456426142......)

# ECM B1=5e4, sigma=1831619667233615

September 29, 2023 2023 年 9 月 29 日 (Alfred Reich)

# via Kurt Beschorner

n=110054: c47097(3181807234......) = 41639896808519181299 * c47077(7641246683......)

# ECM B1=5e4, sigma=6470587200999236

n=110068: c47147(2981659932......) = 10257540154891890609299741 * c47122(2906798206......)

# ECM B1=5e4, sigma=5239082296486910

n=110082: c31440(9100000909......) = 74465389422587258474702023 * c31415(1222044359......)

# ECM B1=5e4, sigma=5668583161306133

n=110140L: c21998(2494394896......) = 12878648752363565641 * x21979(1936845195......)

# ECM B1=5e4, sigma=68300183588677

n=110140M: c22014(1198201150......) = 1439240352805822601 * c21995(8325233157......)

# ECM B1=5e4, sigma=2612077276004786

n=110140L: x21979(1936845195......) = 1009864301389110821 * c21961(1917926193......)

# ECM B1=5e4, sigma=7182308400684319

n=110200: c40315(1512399406......) = 2143436161855201601 * c40296(7055957314......)

# ECM B1=5e4, sigma=1295019164587305

n=110226: c36719(4720105869......) = 118725034465474649143 * c36699(3975661822......)

# ECM B1=5e4, sigma=2711630797264960

n=110278: c47231(5947709446......) = 2261396063143929251 * c47213(2630105156......)

# ECM B1=5e4, sigma=3349216663277894

n=110380M: c22045(1639251990......) = 374817083497385564521 * x22024(4373471921......)

# ECM B1=5e4, sigma=6748819258230759

n=110380M: x22024(4373471921......) = 1271515280984184781 * c22006(3439574802......)

# ECM B1=5e4, sigma=813246798876956

n=110434: c55201(8675757678......) = 25470611119177377500939 * c55179(3406183557......)

# ECM B1=5e4, sigma=2713830179112682

n=110568: c34560(9999000100......) = 25014682984809204937 * x34541(3997252376......)

# ECM B1=5e4, sigma=6920380169720541

n=110568: x34541(3997252376......) = 6473019781140481509841 * c34519(6175251291......)

# ECM B1=5e4, sigma=7897739584824023

n=110620M: c22103(1348246390......) = 2766394427648080665221 * c22081(4873659289......)

# ECM B1=5e4, sigma=7295316486272119

n=110642: c47370(1772187923......) = 2420169021820781183 * c47351(7322579156......)

# ECM B1=5e4, sigma=735259442769805

n=110646: c36785(8726527813......) = 86415958367861268583 * c36766(1009828274......)

# ECM B1=5e4, sigma=1065173252335495

n=110708: c51073(1009999999......) = 62690213070600242921 * c51053(1611096773......)

# ECM B1=5e4, sigma=8765168126423028

n=110742: c36905(4222584664......) = 6993885717180356317 * c36886(6037537408......)

# ECM B1=5e4, sigma=3288123746952025

n=110780L: c21281(2796100000......) = 1760430084098075861 * c21263(1588305054......)

# ECM B1=5e4, sigma=5570516941456586

n=110854: c54059(1619387353......) = 50100295472490757334579 * c54036(3232291023......)

# ECM B1=5e4, sigma=7195729577369774

n=110860M: c21120(3540999999......) = 11357106250325686321 * c21101(3117871684......)

# ECM B1=5e4, sigma=8875988653239329

n=110884: c52468(2970207348......) = 15935053140009445649 * c52449(1863945681......)

# ECM B1=5e4, sigma=4300147002529624

n=110900L: c22144(1434147864......) = 2364667018106757701 * c22125(6064904081......)

# ECM B1=5e4, sigma=7469685697522992

n=111020L: c17263(1260438122......) = 7852265982735690881 * c17244(1605190304......)

# ECM B1=5e4, sigma=2119041589799159

n=111022: c55502(3864268632......) = 80078808863543534551099 * c55479(4825582057......)

# ECM B1=5e4, sigma=4749200208229283

n=111138: c37045(1098901098......) = 4025778870110561173 * c37026(2729660854......)

# ECM B1=5e4, sigma=6765213157517212

n=111140M: c22178(1890701720......) = 1107284654726784436361 * c22157(1707511896......)

# ECM B1=5e4, sigma=5417781536120636

n=111178: c55552(9531183892......) = 23090417751172103201 * c55533(4127765896......)

# ECM B1=5e4, sigma=4955450791810140

n=111180M: c13824(3952674060......) = 87861999950042690101 * c13804(4498729897......)

# ECM B1=5e4, sigma=6477940689665191

n=111282: c34846(7095400944......) = 21093303850602571837 * c34827(3363816780......)

# ECM B1=5e4, sigma=7152603294653499

n=111300L: c12439(5970856819......) = 61941014532614087749201 * c12416(9639585119......)

# ECM B1=5e4, sigma=3321596586911967

n=111328: c47022(4949676410......) = 1072471872472535319457 * c47001(4615203939......)

# ECM B1=5e4, sigma=8520344890818736

n=111392: c54747(2992426169......) = 2424801504325035611873 * c54726(1234091188......)

# ECM B1=5e4, sigma=2735530329357043

n=111420M: c14832(9048972901......) = 18624712724237384169481 * c14810(4858583879......)

# ECM B1=5e4, sigma=8221722487005743

n=111428: c54880(2086628105......) = 9065468274070698001 * c54861(2301732290......)

# ECM B1=5e4, sigma=3896760007380736

n=111492: c34992(9999990000......) = 7638390574628464738621 * c34971(1309175002......)

# ECM B1=5e4, sigma=3324351636908306

n=111612: c36388(3218434527......) = 10473796744114191289 * c36369(3072844171......)

# ECM B1=5e4, sigma=4429489625834878

n=111620L: c22295(4049552717......) = 2015898478930454681 * c22277(2008807863......)

# ECM B1=5e4, sigma=4581998882360211

n=111700L: c22282(5723105772......) = 8061866702052862301 * c22263(7098983379......)

# ECM B1=5e4, sigma=8150041150134747

n=111746: c54851(4053336734......) = 11913344019341284783 * c54832(3402350110......)

# ECM B1=5e4, sigma=5849346626074443

n=111778: c55861(1026567578......) = 4189928837279902012012291 * c55836(2450083565......)

# ECM B1=5e4, sigma=8234980201944024

n=111822: c37215(8066029036......) = 1430499406899901369 * c37197(5638610542......)

# ECM B1=5e4, sigma=8554406147531010

n=111912: c37245(3043201002......) = 4524011309895231286129 * c37223(6726775850......)

# ECM B1=5e4, sigma=7679131534715134

n=111972: c30213(3651535367......) = 3670509844033288369 * c30194(9948305610......)

# ECM B1=5e4, sigma=2207897067959356

n=112068: c33833(2203245599......) = 7028943964436955499489 * c33811(3134532884......)

# ECM B1=5e4, sigma=8846211487353032

n=112180L: c21824(5045790290......) = 14453000406521461540541 * c21802(3491171485......)

# ECM B1=5e4, sigma=4141359440497305

n=112260L: c14934(1300492240......) = 64384440964626081206881 * c14911(2019885892......)

# ECM B1=5e4, sigma=7253171569128558

n=112280: c38400(9999000099......) = 172669280269048722881 * c38380(5790839044......)

# ECM B1=5e4, sigma=825636147332079

n=112378: c45922(1322433841......) = 4528609415034335863 * c45903(2920176416......)

# ECM B1=5e4, sigma=4452651932695881

n=112478: c56214(8944156414......) = 489509129725485812653 * c56194(1827168457......)

# ECM B1=5e4, sigma=7031411551377053

n=112526: c56253(1032307400......) = 1812010482764244289913739127 * c56225(5697027750......)

# ECM B1=5e4, sigma=3310082537423038

n=112642: c52986(1550071465......) = 42233923615066709710333 * c52963(3670204737......)

# ECM B1=5e4, sigma=3538257663677656

n=112650: c29995(2219236087......) = 2812120324193282194801 * c29973(7891682543......)

# ECM B1=5e4, sigma=5652224446513164

n=112660M: c21828(1442638607......) = 3698605066529026853320081 * c21803(3900493784......)

# ECM B1=5e4, sigma=3439957047517109

n=112700M: c18432(1445346788......) = 3396314239931268413801 * c18410(4255633273......)

# ECM B1=5e4, sigma=6498331178269251

n=112780M: c22545(2186991934......) = 33966280794013799141 * c22525(6438714759......)

# ECM B1=5e4, sigma=5888308962565466

n=112802: c56400(9090909090......) = 614846669869948923853 * c56380(1478565232......)

# ECM B1=5e4, sigma=611045473489592

n=112812: c29930(2751682389......) = 192529300230746617069 * x29910(1429227855......)

# ECM B1=5e4, sigma=2243967322837866

n=112812: x29910(1429227855......) = 80952507205516913821 * c29890(1765514009......)

# ECM B1=5e4, sigma=2078677598712784

n=112814: c52057(1099999999......) = 957860955748753017131 * c52036(1148392147......)

# ECM B1=5e4, sigma=1576548548381815

n=112896: c32222(3923197122......) = 13180383814064715214849 * c32200(2976542396......)

# ECM B1=5e4, sigma=6168454058018418

n=112898: c53435(9391429097......) = 16466711608610493552211 * c53413(5703281456......)

# ECM B1=5e4, sigma=1004115929983809

n=112918: c50400(9090909090......) = 524177474937034643531 * c50380(1734318914......)

# ECM B1=5e4, sigma=3492412295641874

n=112920: c30056(7718841653......) = 17407828056576482881 * c30037(4434121033......)

# ECM B1=5e4, sigma=8750421025550240

n=113018: c56489(2433765869......) = 3357758615200230743357 * c56467(7248185914......)

# ECM B1=5e4, sigma=3375427534387981

n=113038: c56491(1860088007......) = 55462106069854546567 * c56471(3353799809......)

# ECM B1=5e4, sigma=6349598384984091

n=113048: c52108(1208982029......) = 16308311152711219513 * c52088(7413287728......)

# ECM B1=5e4, sigma=1324068952513422

n=113078: c47024(3387611457......) = 7738510770568902409 * c47005(4377601270......)

# ECM B1=5e4, sigma=7108148945042731

n=113164: c53557(1488296261......) = 4593805797761093408309 * c53535(3239789244......)

# ECM B1=5e4, sigma=677846778117628

n=113228: c56570(3361241020......) = 86148386623532135041 * c56550(3901687717......)

# ECM B1=5e4, sigma=296614348888773

n=113246: c48512(2400253422......) = 2131932806290648685339 * c48491(1125857914......)

# ECM B1=5e4, sigma=8504773585667577

n=113260M: c19365(1700352882......) = 16825976421471544181 * c19346(1010552279......)

# ECM B1=5e4, sigma=2449015242843324

n=113340L: c15075(3939190715......) = 195758421725262871561 * c15055(2012271390......)

# ECM B1=5e4, sigma=4496212005637279

n=113382: c37759(2799166467......) = 72188696418880907179 * c37739(3877568935......)

# ECM B1=5e4, sigma=8547389957966892

n=113388: c34320(9901000000......) = 61587497715237926925769 * c34298(1607631478......)

# ECM B1=5e4, sigma=1791933739891359

n=113420M: c22012(1549812563......) = 177492957297590044517772061 * c21985(8731684832......)

# ECM B1=5e4, sigma=7052087331150325

n=113432: c51477(9566770956......) = 4206563470745523889 * c51459(2274248569......)

# ECM B1=5e4, sigma=3537312600205938

n=113460L: c14392(8354340359......) = 4631143448185227541 * c14374(1803947654......)

# ECM B1=5e4, sigma=7462266268871452

n=113526: c29953(1000999998......) = 15272152169294971063 * c29933(6554413470......)

# ECM B1=5e4, sigma=2807479439567376

n=113558: c56731(1607101400......) = 199349721581163708661451 * c56707(8061718809......)

# ECM B1=5e4, sigma=599651815974545

n=113612: c56804(9900990099......) = 11772368696547976609 * c56785(8410363584......)

# ECM B1=5e4, sigma=8396001363969626

n=113618: c56793(4435643007......) = 36919477142165050133 * c56774(1201437114......)

# ECM B1=5e4, sigma=3282094085271332

n=113654: c56826(9090909090......) = 8798157033696363493 * c56808(1033274247......)

# ECM B1=5e4, sigma=6197401549259319

n=113714: c56840(5974135843......) = 4556670912172822769 * c56822(1311074676......)

# ECM B1=5e4, sigma=3407186410699779

n=113738: c52416(9090909090......) = 233109307092976002761 * c52396(3899848188......)

# ECM B1=5e4, sigma=4754881936500550

n=113774: c56377(1099999999......) = 1979423534529039387320237 * c56352(5557173494......)

# ECM B1=5e4, sigma=7177271983745069

n=113816: c55323(2692106332......) = 18505474001338456217 * c55304(1454762159......)

# ECM B1=5e4, sigma=5685621681326188

n=113842: c56896(2357504020......) = 83259779230211287040512081 * x56870(2831504049......)

# ECM B1=5e4, sigma=1747846810075464

n=113842: x56870(2831504049......) = 31321007921125793896303 * c56847(9040271170......)

# ECM B1=5e4, sigma=6060255938555661

n=113940L: c15093(1038954412......) = 263345915734597124101 * c15072(3945207995......)

# ECM B1=5e4, sigma=930057354565253

n=113964: c37972(1450551037......) = 14211153750249344521 * c37953(1020713070......)

# ECM B1=5e4, sigma=1755053810118960

n=114060L: c15181(6808917899......) = 4307104074379337521 * c15163(1580857527......)

# ECM B1=5e4, sigma=1663186318698691

n=114060M: c15200(3913542626......) = 33961592806520233441 * c15181(1152343663......)

# ECM B1=5e4, sigma=8863608711750735

n=114098: c56291(2657345213......) = 57731569199757661699 * c56271(4602932589......)

# ECM B1=5e4, sigma=4968437249558449

n=114100M: c19418(2934218982......) = 8010186184870471583488937501 * c19390(3663109589......)

# ECM B1=5e4, sigma=889802913514140

n=114178: c57081(1169170276......) = 515701330304549420819 * c57060(2267146132......)

# ECM B1=5e4, sigma=1761541327932676

n=114300M: c15101(1866218938......) = 8468998899811821901 * x15082(2203588594......)

# ECM B1=5e4, sigma=6415346816829020

n=114300M: x15082(2203588594......) = 51809073052408593236101 * c15059(4253287050......)

# ECM B1=5e4, sigma=836412899090315

n=114314: c56146(5449050133......) = 40926124297000644721 * c56127(1331435660......)

# ECM B1=5e4, sigma=2619436893344818

n=114340L: c22822(9273665907......) = 3446241112242905884599693663581 * c22792(2690950982......)

# ECM B1=5e4, sigma=3169631435521867

n=114460M: c22244(5092184201......) = 1046883524328791581 * c22226(4864136346......)

# ECM B1=5e4, sigma=6935706644826577

n=114580L: c21487(8086381937......) = 401046301592232331088621 * c21464(2016321283......)

# ECM B1=5e4, sigma=4045094979533097

n=114734: c57366(9090909090......) = 2533898987450681099533 * c57345(3587715665......)

# ECM B1=5e4, sigma=578489565586973

n=114740M: c22945(2824060999......) = 2324349095622505361 * x22927(1214990039......)

# ECM B1=5e4, sigma=2970075586173440

n=114740M: x22927(1214990039......) = 375133444636464535421 * c22906(3238820896......)

# ECM B1=5e4, sigma=2632861921970189

n=114794: c57382(1293027680......) = 380437748826726850139 * c57361(3398789117......)

# ECM B1=5e4, sigma=4929000444691903

n=114820M: c22942(1437685972......) = 3343648091566270616441 * c22920(4299752643......)

# ECM B1=5e4, sigma=2128578660253397

n=114856: c49057(1000000000......) = 72102358600452089113 * c49037(1386917181......)

# ECM B1=5e4, sigma=7217384601624486

n=114900L: c15262(1956636225......) = 60131046686857314805748101 * c15236(3253953378......)

# ECM B1=5e4, sigma=4589753924777672

n=114968: c49239(7473318133......) = 1746556297075223033 * c49221(4278887629......)

# ECM B1=5e4, sigma=4921102446174118

n=115020M: c15110(3414514851......) = 3244454168483356021 * c15092(1052415806......)

# ECM B1=5e4, sigma=3328977144687226

n=115058: c57523(3950559537......) = 507222905959748659103 * c57502(7788606332......)

# ECM B1=5e4, sigma=3082698370687357

n=115060M: c20880(3540964590......) = 751529157354104733781 * c20859(4711679587......)

# ECM B1=5e4, sigma=7853317248851775

n=115100L: c22980(1979544307......) = 3075166540030847430401 * c22958(6437193827......)

# ECM B1=5e4, sigma=7452023969451021

n=115140M: c14394(3432925710......) = 4438252957609475494681 * c14372(7734858160......)

# ECM B1=5e4, sigma=8061720726215008

n=115144: c55873(1000099999......) = 7404062985443435921 * c55854(1350744857......)

# ECM B1=5e4, sigma=5321248277861231

n=115170: c27784(8637910416......) = 81804671839013816910691 * c27762(1055918961......)

# ECM B1=5e4, sigma=5825634655635887

n=115180M: c21195(1401562345......) = 1530400877811204361 * c21176(9158138669......)

# ECM B1=5e4, sigma=7351413643513896

n=115198: c57088(2344682128......) = 2207464145788043881 * c57070(1062160911......)

# ECM B1=5e4, sigma=7149536201823479

n=115220M: c19716(4436882327......) = 44873514179874293201 * c19696(9887530336......)

# ECM B1=5e4, sigma=7388169660134941

n=115244: c56279(4263305526......) = 647039124322969301994989 * c56255(6588945499......)

# ECM B1=5e4, sigma=1251225436711073

n=115380L: c15346(3088149217......) = 3129672638054750243581 * c15324(9867323437......)

# ECM B1=5e4, sigma=6495400328306573

n=115446: c37776(6461585502......) = 435222940511211779743 * c37756(1484661055......)

# ECM B1=5e4, sigma=166558519642327

n=115508: c56761(1009999999......) = 12321720370538011501 * c56741(8196907328......)

# ECM B1=5e4, sigma=3114323744332549

n=115554: c38500(2082816481......) = 14628271302569121331 * c38481(1423829540......)

# ECM B1=5e4, sigma=5354163137134259

n=115582: c57775(9835206950......) = 7645363936265067708750371 * c57751(1286427570......)

# ECM B1=5e4, sigma=7991264965880760

n=115586: c57792(9090909090......) = 1950227854452653344277 * c57771(4661459977......)

# ECM B1=5e4, sigma=7643021709198036

n=115608: c38514(1856973362......) = 127267129219714024873 * c38494(1459114677......)

# ECM B1=5e4, sigma=7691823880807027

n=115630: c44595(7246639103......) = 7728245156486293051 * x44576(9376823531......)

# ECM B1=5e4, sigma=4688993108897324

n=115630: x44576(9376823531......) = 12083601652383765281 * c44557(7759957503......)

# ECM B1=5e4, sigma=4688993108897324

n=115632: c34532(3265314835......) = 1265836561232506561 * c34514(2579570645......)

# ECM B1=5e4, sigma=1021590603169335

n=115762: c57818(7612203013......) = 11148290390924769072973 * c57796(6828134850......)

# ECM B1=5e4, sigma=4713958244332128

n=115778: c51774(2480912404......) = 133617401766629790485208877 * c51748(1856728518......)

# ECM B1=5e4, sigma=3457814678584843

n=115860M: c15408(8823860664......) = 11164811510617108441 * c15389(7903277772......)

# ECM B1=5e4, sigma=2876007033352319

n=115938: c36262(1523519325......) = 6544408034591900645437 * c36240(2327971174......)

# ECM B1=5e4, sigma=6513909091944349

n=115972: c57097(1009999999......) = 2780362419875653381 * c57078(3632619951......)

# ECM B1=5e4, sigma=3374703103738448

n=116024: c58003(4309003744......) = 15535979134976466605041 * c57981(2773564322......)

# ECM B1=5e4, sigma=2377874334859943

n=116136: c38689(1000000000......) = 790146610973836427593 * c38668(1265587912......)

# ECM B1=5e4, sigma=7535620359001703

n=116206: c57409(1099999999......) = 4146915176530564903 * c57390(2652574150......)

# ECM B1=5e4, sigma=4784195655672564

n=116260L: c23236(1736573514......) = 84804414728715904794521 * c23213(2047739519......)

# ECM B1=5e4, sigma=7959165564449401

n=116288: c54894(2184491034......) = 1908279350387507777 * c54876(1144743841......)

# ECM B1=5e4, sigma=454061963209810

n=116358: c33594(3046495532......) = 5246843988310935979 * c33575(5806339085......)

# ECM B1=5e4, sigma=625391820205243

n=116360: c46496(5891441667......) = 14785641947107547281 * c46477(3984569414......)

# ECM B1=5e4, sigma=5882555245926870

n=116374: c56264(3725716625......) = 161797479622647730397 * c56244(2302703746......)

# ECM B1=5e4, sigma=8788505022498438

n=116422: c58194(3405570197......) = 6161470448010092843289619 * c58169(5527203654......)

# ECM B1=5e4, sigma=8535384840036472

n=116442: c38785(5653169772......) = 11081842837576414871689 * c38763(5101290331......)

# ECM B1=5e4, sigma=2450628676372950

n=116460M: c15504(9048972901......) = 64365457552928438761 * c15485(1405874089......)

# ECM B1=5e4, sigma=2273371864953014

n=116512: c52793(5265525441......) = 6766980787852606817 * c52774(7781203473......)

# ECM B1=5e4, sigma=6953016297811220

n=116538: c38845(1098901098......) = 3244037556511035253 * c38826(3387448757......)

# ECM B1=5e4, sigma=6284449052490927

n=116580L: c14747(1835850513......) = 807057677220043938541 * c14726(2274745121......)

# ECM B1=5e4, sigma=1547146191848507

n=116660M: c22020(8672800619......) = 106058178592143817764429161 * c21994(8177399172......)

# ECM B1=5e4, sigma=4038552173588624

n=116680: c46647(2228976474......) = 39223207322502349094561 * c46624(5682800124......)

# ECM B1=5e4, sigma=858577171158404

n=116700M: c15484(5490503097......) = 1303193168018787245701 * c15463(4213115317......)

# ECM B1=5e4, sigma=7048069654767044

n=116718: c33264(9999999000......) = 5228014978029097087 * c33246(1912771681......)

# ECM B1=5e4, sigma=5371540273433072

n=116780M: c23321(3380823137......) = 1685113107714310414841 * c23300(2006288552......)

# ECM B1=5e4, sigma=29465543642780

n=116782: c58367(2804894085......) = 2762478941694617834089 * c58346(1015354015......)

# ECM B1=5e4, sigma=8151062195148544

n=116800: c46073(7927447367......) = 54655545125982229276801 * c46051(1450437892......)

# ECM B1=5e4, sigma=7004453061618633

n=116822: c58362(4692926665......) = 143986655149378861223 * c58342(3259278896......)

# ECM B1=5e4, sigma=4893718392182281

n=116826: c38903(1622570852......) = 2853628249591449529 * c38884(5685992396......)

# ECM B1=5e4, sigma=3413638737883188

n=116860L: c23345(2697658128......) = 141116519385261906773701 * c23322(1911652966......)

# ECM B1=5e4, sigma=5115706692840895

n=116878: c58396(5538313922......) = 162762429964405553812063 * c58373(3402697983......)

# ECM B1=5e4, sigma=8525842805869788

n=117008: c57121(1000000009......) = 336109813694023808017 * c57100(2975218125......)

# ECM B1=5e4, sigma=965326424117433

n=117016: c58477(2003996743......) = 245861204626655843173978119281 * c58447(8150927051......)

# ECM B1=5e4, sigma=3549523734327420

n=117020M: c23401(2824060999......) = 9280723933079528149865196961 * c23373(3042931801......)

# ECM B1=5e4, sigma=5028561058621044

n=117054: c33393(2447882552......) = 10963137602388338893 * c33374(2232830273......)

# ECM B1=5e4, sigma=1367279306859218

n=117074: c58515(2164230904......) = 23773693539572857801 * c58495(9103469349......)

# ECM B1=5e4, sigma=2328739402690349

n=117116: c52264(5306969810......) = 429218391827036725959889 * c52241(1236426469......)

# ECM B1=5e4, sigma=4393496846071440

n=117412: c57986(2678521607......) = 3731598078506961809 * x57967(7177947760......)

# ECM B1=5e4, sigma=1021100808748096

n=117412: x57967(7177947760......) = 7169821931036617160809 * c57946(1001133337......)

# ECM B1=5e4, sigma=3552912266970251

n=117430: c46963(1338168224......) = 2200641970172233571 * c46944(6080808429......)

# ECM B1=5e4, sigma=4268396742105712

n=117460L: c20080(3497375734......) = 70256992100443894097610301 * c20054(4977975330......)

# ECM B1=5e4, sigma=8357002585350220

n=117478: c58193(1971253708......) = 77438123477974011847 * c58173(2545585585......)

# ECM B1=5e4, sigma=6495793880730761

n=117500M: c23001(1000000000......) = 766740305023482592501 * c22980(1304222555......)

# ECM B1=5e4, sigma=4823577801095753

n=117566: c56729(1099999999......) = 493970988068600040419 * c56708(2226851427......)

# ECM B1=5e4, sigma=5781772303958315

n=117618: c39184(2715340059......) = 3035932160129255533819 * c39162(8944007693......)

# ECM B1=5e4, sigma=1354613511256597

n=117662: c58808(7960417659......) = 17464531772192823277411 * c58786(4558048141......)

# ECM B1=5e4, sigma=1346277921277006

n=117718: c57961(1099999999......) = 39126259445075875211 * c57941(2811411097......)

# ECM B1=5e4, sigma=8970386387512457

n=117740L: c19488(9999999999......) = 102316511970118424021 * c19468(9773593535......)

# ECM B1=5e4, sigma=5386701728491588

n=117756: c39234(4717855981......) = 21049442641067318641 * c39215(2241321094......)

# ECM B1=5e4, sigma=7593136707081847

n=117780L: c14394(2332786315......) = 45138096594076817761 * c14374(5168109626......)

# ECM B1=5e4, sigma=6870554173416668

n=117780M: c14400(3952678052......) = 41104417645744119421 * c14380(9616187940......)

# ECM B1=5e4, sigma=7590952117183154

n=117814: c58899(3283541696......) = 185387033713913587487 * c58879(1771181959......)

# ECM B1=5e4, sigma=2381377206455070

n=117830: c47099(4030419673......) = 749317806961834309531 * c47078(5378785391......)

# ECM B1=5e4, sigma=3027546026262329

n=118014: c33763(1449869442......) = 3951110755332463477 * c33744(3669523665......)

# ECM B1=5e4, sigma=8865996257824397

n=118060L: c23603(3029289943......) = 26552180911531187261 * c23584(1140881780......)

# ECM B1=5e4, sigma=3739315530965234

n=118130: c47230(2124507353......) = 17750922917695041491 * c47211(1196843320......)

# ECM B1=5e4, sigma=8897190338151349

n=118140L: c14228(1332422834......) = 4278208351778925301 * c14209(3114441197......)

# ECM B1=5e4, sigma=8111190829276240

n=118144: c53761(1000000000......) = 6257082982793111041 * c53742(1598188808......)

# ECM B1=5e4, sigma=8389124514918634

n=118180M: c22320(3540999996......) = 43158985001486867212061 * c22297(8204548824......)

# ECM B1=5e4, sigma=3658424628819842

n=118186: c59087(1098860887......) = 2002615943449254494287235117 * c59059(5487127431......)

# ECM B1=5e4, sigma=4198335483515437

n=118200: c31327(1224013665......) = 18087120987425032801 * c31307(6767321713......)

# ECM B1=5e4, sigma=6036054141506893

n=118220L: c22506(3199700757......) = 16517799675288906282161 * c22484(1937122873......)

# ECM B1=5e4, sigma=4871864110945246

n=118356: c33739(9961127033......) = 3795241338151829329 * c33721(2624635997......)

# ECM B1=5e4, sigma=6833366313258104

n=118466: c59223(7609177011......) = 3489872838050326987393550891 * c59196(2180359389......)

# ECM B1=5e4, sigma=6269160305742693

n=118580L: c18456(5029026903......) = 349875351702675256921 * c18436(1437376734......)

# ECM B1=5e4, sigma=5805623114059251

n=118588: c56664(6607300356......) = 191196850941756635462235829469 * c56635(3455757939......)

# ECM B1=5e4, sigma=6100053273383754

n=118620L: c15779(9111156519......) = 38405437026281776047781 * c15757(2372361109......)

# ECM B1=5e4, sigma=91816728754171

n=118630: c47432(9292738491......) = 27587398640778040531 * c47413(3368472182......)

# ECM B1=5e4, sigma=4241802555712148

n=118774: c59366(6704624887......) = 68723093001719226293 * c59346(9755999904......)

# ECM B1=5e4, sigma=2647102033019467

n=118814: c59399(2056822185......) = 123773839809342529634327 * c59376(1661758404......)

# ECM B1=5e4, sigma=2344014648511469

n=118820M: c21880(4830050183......) = 8254064379383417324069861 * c21855(5851723419......)

# ECM B1=5e4, sigma=7481763973729407

n=118940M: c22430(1417577172......) = 6290028962964719261 * c22411(2253689420......)

# ECM B1=5e4, sigma=6057749457460121

n=118942: c59448(2130733239......) = 2839647232430135733081011 * c59423(7503513869......)

# ECM B1=5e4, sigma=5032555891133650

n=119036: c59487(7925007117......) = 2712933109887717402229 * c59466(2921195177......)

# ECM B1=5e4, sigma=2841366839152485

n=119222: c59578(1075137619......) = 208059314460426225847 * c59557(5167457281......)

# ECM B1=5e4, sigma=2592338479542216

n=119254: c59557(1827569165......) = 1519452190259067516863419 * c59533(1202781618......)

# ECM B1=5e4, sigma=503742485815232

n=119300L: c23834(4881659250......) = 1394012930145675239401 * c23813(3501875158......)

# ECM B1=5e4, sigma=1757055710547964

n=119304: c39732(2128995796......) = 89272370079723843361 * c39712(2384831717......)

# ECM B1=5e4, sigma=1383303054757014

n=119356: c58418(6585075356......) = 452371002717324530789 * c58398(1455680253......)

# ECM B1=5e4, sigma=2744558142377591

n=119462: c48042(3219561218......) = 76820914322340429323237 * c48019(4190995703......)

# ECM B1=5e4, sigma=5490747939608765

n=119500M: c23800(9999999999......) = 11475682144098649395001 * c23778(8714078931......)

# ECM B1=5e4, sigma=3308706693309036

n=119542: c59740(1624300161......) = 32766908702190291974978401 * c59714(4957135799......)

# ECM B1=5e4, sigma=5006031556095687

n=119740L: c23926(2947677416......) = 12193435110167064961 * c23907(2417429863......)

# ECM B1=5e4, sigma=410103424243015

n=119962: c59947(2683778422......) = 3623910916492491407 * c59928(7405751644......)

# ECM B1=5e4, sigma=3654015470073886

September 26, 2023 2023 年 9 月 26 日 (FredOnCyc)

# via factordb.com

n=32300L: p5721(4662959245......) is proven prime

September 28, 2023 2023 年 9 月 28 日 (Alfred Reich)

# via Kurt Beschorner

n=105100M: c20978(1223684098......) = 112936810099794658501 * c20958(1083512184......)

# ECM B1=5e4, sigma=8658340371991655

n=105134: c52538(1397810859......) = 13884053884715171338529 * c52516(1006774297......)

# ECM B1=5e4, sigma=2321505279701159

n=105140L: c18001(2798897498......) = 29081288144787704214518221 * c17975(9624393130......)

# ECM B1=5e4, sigma=1289315953256541

n=105158: c52573(4322479443......) = 355113791853313834454906999368717 * c52541(1217209678......)

# ECM B1=5e4, sigma=7488877501567139

n=105194: c52074(1053376400......) = 13737390620858882413 * c52054(7667951139......)

# ECM B1=5e4, sigma=591538952736480

n=105246: c35065(1000000000......) = 948969955911811092121 * c35044(1053774141......)

# ECM B1=5e4, sigma=4171627785450178

n=105254: c52614(2682919364......) = 18902209350449871623 * c52595(1419368135......)

# ECM B1=5e4, sigma=2029493814065446

n=105302: c51193(1099999999......) = 2819313269817616544099 * c51171(3901659357......)

# ECM B1=5e4, sigma=1420453459661556

n=105318: c35101(1000999998......) = 4398772314661167979 * c35082(2275634944......)

# ECM B1=5e4, sigma=2299640748451683

n=105340L: c20009(2135810445......) = 59332229554946437995041 * c19986(3599747492......)

# ECM B1=5e4, sigma=2341129692992076

n=105340M: c20060(2654332121......) = 2430252987795540260621 * c20039(1092204035......)

# ECM B1=5e4, sigma=1480989343510363

n=105392: c45109(2672857909......) = 56153462398993612129 * c45089(4759916476......)

# ECM B1=5e4, sigma=1557686851645288

n=105420M: c12000(3948723401......) = 642423354172400850395641 * c11976(6146606246......)

# ECM B1=5e4, sigma=5702857714794653

n=105472: c52214(2636512598......) = 26640861513453782017 * c52194(9896499019......)

# ECM B1=5e4, sigma=5167829071141565

n=105520: c42177(1000000009......) = 19462784668110873281 * c42157(5138010963......)

# ECM B1=5e4, sigma=7634966128475574

n=105546: c30045(3549151465......) = 5481249943237037131 * c30026(6475076856......)

# ECM B1=5e4, sigma=8775449805257973

n=105552: c35137(1000000000......) = 341591705593893132828481 * c35113(2927471550......)

# ECM B1=5e4, sigma=5354764151884983

n=105566: c52713(2799610563......) = 18067475033150020369 * c52694(1549530611......)

# ECM B1=5e4, sigma=1112435074547047

n=105714: c30138(5038845383......) = 31506521218166093401 * c30119(1599302363......)

# ECM B1=5e4, sigma=5049161843480160

n=105722: c52852(3488389890......) = 1565655378160157934539 * c52831(2228070071......)

# ECM B1=5e4, sigma=3725967141421983

n=105740M: c19822(4111937341......) = 49039597664642550106261 * c19799(8384932864......)

# ECM B1=5e4, sigma=441960451919179

n=105812: c45329(2356847146......) = 537003425060165757989 * c45308(4388886618......)

# ECM B1=5e4, sigma=4580740096378528

n=105860L: c20578(5967559553......) = 406465664875248450341 * c20558(1468158338......)

# ECM B1=5e4, sigma=3940639934203706

n=105890: c42353(1099989000......) = 40250798594522541278611 * c42330(2732837703......)

# ECM B1=5e4, sigma=5875779726902486

n=105970: c42380(1038009455......) = 1611407299725103571 * c42361(6441633072......)

# ECM B1=5e4, sigma=4645132076378524

n=106020L: c12942(8076918651......) = 5763125082744748981 * c12924(1401482448......)

# ECM B1=5e4, sigma=7751221234927964

n=106122: c33751(2287736073......) = 1459787225265348726700550983 * c33724(1567170909......)

# ECM B1=5e4, sigma=2717557727902187

n=106134: c28728(9999999999......) = 33828177031849837336771 * c28706(2956115545......)

# ECM B1=5e4, sigma=5614061862446969

n=106162: c45484(1377129439......) = 35083427241674318256499 * c45461(3925299060......)

# ECM B1=5e4, sigma=7377680094917635

n=106260L: c10540(1385779192......) = 19492176801204418081 * c10520(7109412186......)

# ECM B1=5e4, sigma=8220725554688730

n=106284: c33263(3805498415......) = 4016772731618350909 * c33244(9474019741......)

# ECM B1=5e4, sigma=2134944923215793

n=106316: c45553(1009999999......) = 168180212422875732237901 * c45529(6005462744......)

# ECM B1=5e4, sigma=4571817116559397

n=106376: c53159(2503451864......) = 937002279205920791569 * c53138(2671767102......)

# ECM B1=5e4, sigma=5890623750494374

n=106396: c52273(1009999999......) = 2705569712955013349 * c52254(3733040014......)

# ECM B1=5e4, sigma=7818596144315421

n=106504: c53228(6110708621......) = 102896261414445221521 * c53208(5938708110......)

# ECM B1=5e4, sigma=8963444067157930

n=106510: c42601(1099989000......) = 12783453794321480531 * c42581(8604787233......)

# ECM B1=5e4, sigma=3465175396320050

n=106540M: c18240(3537460769......) = 7134592909664598421 * c18221(4958181657......)

# ECM B1=5e4, sigma=4043154028178819

n=106552: c50401(1000099999......) = 3306926416484060849 * c50382(3024258402......)

# ECM B1=5e4, sigma=7525618163447653

n=106614: c35498(1031005055......) = 99251001548467462081 * c35478(1038785542......)

# ECM B1=5e4, sigma=3572970875773483

n=106640: c40304(2441563348......) = 783945024672062778241 * c40283(3114457356......)

# ECM B1=5e4, sigma=6493496088494751

n=106662: c34230(3831496839......) = 1545670813852297286023 * c34209(2478856950......)

# ECM B1=5e4, sigma=5302127184096665

n=106700M: c19201(1010050200......) = 13692550658953648603001 * c19178(7376640232......)

# ECM B1=5e4, sigma=1951154211884432

n=106820M: c18145(1001000500......) = 179429021372236826078701 * c18121(5578810454......)

# ECM B1=5e4, sigma=8957019203137677

n=106824: c35601(1000099999......) = 15149303814300941041 * c35581(6601623495......)

# ECM B1=5e4, sigma=4687060161029566

n=106880: c42473(4307045294......) = 61752207154074219521 * c42453(6974722836......)

# ECM B1=5e4, sigma=476334376519223

n=106932: c28513(1009998990......) = 62218638252924451369 * c28493(1623306164......)

# ECM B1=5e4, sigma=6160154849911464

n=106984: c52068(1463625810......) = 2576927639800414793 * c52049(5679731893......)

# ECM B1=5e4, sigma=2569240278067668

n=107060L: c20793(3301786380......) = 434959932315523097617501 * c20769(7591012724......)

# ECM B1=5e4, sigma=4242878628289439

n=107140L: c19440(3540964590......) = 224341708259350603021 * c19420(1578379971......)

# ECM B1=5e4, sigma=7370127524831412

n=107162: c48695(1710802786......) = 3302477392083768053 * c48676(5180361841......)

# ECM B1=5e4, sigma=4426251239901079

n=107224: c49430(2082248445......) = 3105744463085980769 * c49411(6704506666......)

# ECM B1=5e4, sigma=6808530036914811

n=107260L: c20640(3541000000......) = 8534202800958961059942909781 * c20612(4149186611......)

# ECM B1=5e4, sigma=2864686785143987

n=107264: c53491(5627339433......) = 80281021988617962743809 * c53468(7009551316......)

# ECM B1=5e4, sigma=4125716221167343

n=107380L: c16674(7686484224......) = 6727005399976363321 * c16656(1142630898......)

# ECM B1=5e4, sigma=1597844385108865

n=107420M: c20793(2996733044......) = 2482856017461817741 * c20775(1206970127......)

# ECM B1=5e4, sigma=3134573051054382

n=107446: c51931(1159812582......) = 562569746255109033120887 * c51907(2061633406......)

# ECM B1=5e4, sigma=8275013398808652

n=107540L: c20305(2796100002......) = 253329656906302832321 * c20285(1103739703......)

# ECM B1=5e4, sigma=5398528336556413

n=107574: c35832(3590809178......) = 17660776117213709867077 * c35810(2033211425......)

# ECM B1=5e4, sigma=1069215656766969

n=107620L: c21498(2270054663......) = 922042613501237160481 * c21477(2461984544......)

# ECM B1=5e4, sigma=5027590341300448

n=107654: c50963(1462742977......) = 10457553929229430477 * c50944(1398742944......)

# ECM B1=5e4, sigma=2669453180552475

n=107750: c42970(9352597386......) = 822323458910888601001 * c42950(1137338025......)

# ECM B1=5e4, sigma=5234135387514329

n=107778: c30801(1098901098......) = 1294646018010436939 * c30782(8488042936......)

# ECM B1=5e4, sigma=4416260185191411

n=107850: c28711(1091804967......) = 19250062912721579401 * c28691(5671695580......)

# ECM B1=5e4, sigma=2429626789369528

n=107922: c35949(3366838371......) = 14409232552312047847 * c35930(2336584103......)

# ECM B1=5e4, sigma=1533161682334226

n=107940M: c12238(1174019492......) = 26044572604947402411120181 * c12212(4507731841......)

# ECM B1=5e4, sigma=321420783538852

n=107980L: c21570(3637817448......) = 21287247069855727670821 * c21548(1708918695......)

# ECM B1=5e4, sigma=6135170298124754

n=108074: c54036(9090909090......) = 364805257832515879024859 * c54013(2491989601......)

# ECM B1=5e4, sigma=3155604638151292

n=108080: c36859(1156549354......) = 35265536950781169991841 * c36836(3279545567......)

# ECM B1=5e4, sigma=7892992549809534

n=108140L: c21597(1856712274......) = 4180640626837584020701 * c21575(4441214732......)

# ECM B1=5e4, sigma=6755698436581200

n=108234: c30863(3668712955......) = 422526777514103872009 * c30842(8682793967......)

# ECM B1=5e4, sigma=1635101560189002

n=108250: c43182(2379086727......) = 227599073370716264067001 * c43159(1045297193......)

# ECM B1=5e4, sigma=3546389428132124

n=108260L: c21619(2889727058......) = 105602539504633216621 * c21599(2736418150......)

# ECM B1=5e4, sigma=7272522209972680

n=108308: c54147(1523583186......) = 5229166598563256148327109 * c54122(2913625254......)

# ECM B1=5e4, sigma=3221217352312277

n=108314: c52381(1099999999......) = 15624312857145537481 * c52361(7040309612......)

# ECM B1=5e4, sigma=1738069875436062

n=108338: c51233(3089264342......) = 2685921741945854527 * x51215(1150169155......)

# ECM B1=5e4, sigma=2861211758612321

n=108338: x51215(1150169155......) = 2608476371395636634491 * c51193(4409352404......)

# ECM B1=5e4, sigma=8361133348438563

n=108340M: c21649(2390994007......) = 5488858336088219862269641 * c21624(4356086203......)

# ECM B1=5e4, sigma=6263273542290403

n=108380M: c21667(5211396546......) = 101397110674199432094941 * c21644(5139590774......)

# ECM B1=5e4, sigma=4065895413692508

n=108396: c36113(1423679285......) = 1659187607221466384869 * c36091(8580580513......)

# ECM B1=5e4, sigma=6934253729078631

n=108406: c53298(6521990156......) = 8149485545578233434761 * c53276(8002947081......)

# ECM B1=5e4, sigma=417385309697825

n=108502: c54233(1071817830......) = 58790363345111859742357 * c54210(1823118227......)

# ECM B1=5e4, sigma=1978342314350566

n=108552: c36162(3063408136......) = 199207674029312807991817 * c36139(1537796247......)

# ECM B1=5e4, sigma=4773260637551353

n=108612: c30960(9999990000......) = 58983117752168119441 * c30941(1695398680......)

# ECM B1=5e4, sigma=5810216250132246

n=108646: c54300(8409708733......) = 138038429083491995986321 * c54277(6092295304......)

# ECM B1=5e4, sigma=6997308982705367

n=108694: c54331(2063845217......) = 3354079700609631293557 * c54309(6153238450......)

# ECM B1=5e4, sigma=8970885182279172

n=108820L: c21761(2824060999......) = 37443463468734281501 * c21741(7542200261......)

# ECM B1=5e4, sigma=1237853469265039

n=108838: c54407(8006581173......) = 203272942110710745808745647 * c54381(3938832729......)

# ECM B1=5e4, sigma=5865271371198640

n=108860M: c21744(2017402772......) = 1317265720529731257281 * c21723(1531507835......)

# ECM B1=5e4, sigma=3831665420167421

n=108878: c42000(9999999000......) = 2113916391234353497127183 * c41976(4730555589......)

# ECM B1=5e4, sigma=5189988243203887

n=108964: c54469(2436686804......) = 6319565775073517843801 * c54447(3855782012......)

# ECM B1=5e4, sigma=6387359511907897

n=108986: c54482(5124689703......) = 70180406448689625825049 * c54459(7302165892......)

# ECM B1=5e4, sigma=4530820233345196

n=109100M: c21768(1044550802......) = 1661995331251004515803001 * x21743(6284920195......)

# ECM B1=5e4, sigma=2110228425107021

n=109100M: x21743(6284920195......) = 9083915976663471001 * c21724(6918734400......)

# ECM B1=5e4, sigma=7167524522531139

n=109140L: c13524(2980742314......) = 40988809349241602892301 * c13501(7272088070......)

# ECM B1=5e4, sigma=3422961015217510

n=109166: c54574(3496054213......) = 135107599825288962048503 * c54551(2587607371......)

# ECM B1=5e4, sigma=8856572879776451

n=109176: c36385(1000099999......) = 966457518933671473417 * c36364(1034810098......)

# ECM B1=5e4, sigma=3359262936250694

n=109226: c50401(1099999999......) = 48456088794567379459 * c50381(2270096550......)

# ECM B1=5e4, sigma=4081422444245853

n=109260M: c14529(5201297441......) = 53139682193868839341 * x14509(9787972428......)

# ECM B1=5e4, sigma=1764257388223319

n=109260M: x14509(9787972428......) = 1853090991284035811221 * c14488(5281970758......)

# ECM B1=5e4, sigma=154480759856448

n=109262: c54595(1920211770......) = 73482462242758859264081 * c54572(2613156543......)

# ECM B1=5e4, sigma=1150272782453879

n=109264: c54624(9999999900......) = 151895013435013066513 * c54604(6583494529......)

# ECM B1=5e4, sigma=846612810641109

n=109282: c53986(7617490061......) = 65673120357912916446468131 * c53961(1159909871......)

# ECM B1=5e4, sigma=7731383217571053

n=109302: c36411(7891847737......) = 1000813300575775504921 * c36390(7885434508......)

# ECM B1=5e4, sigma=3514419833231412

n=109378: c51452(1005677506......) = 650179868870741107183 * c51431(1546768140......)

# ECM B1=5e4, sigma=803945528300717

n=109386: c35476(1069235518......) = 356126714358696305774641 * c35452(3002401886......)

# ECM B1=5e4, sigma=7381410525054289

n=109420L: c21868(3103602170......) = 238002618575412567101 * c21848(1304020178......)

# ECM B1=5e4, sigma=6216552057722169

n=109454: c54726(9090909090......) = 460342746854325477049 * c54706(1974813148......)

# ECM B1=5e4, sigma=7143847260945476

n=109460L: c20161(2796097203......) = 300817270966469923121 * c20140(9295002228......)

# ECM B1=5e4, sigma=3660009784425424

n=109504: c51959(1252119959......) = 3451293801093395393 * c51940(3627972671......)

# ECM B1=5e4, sigma=7682982675421660

n=109506: c36461(9364585408......) = 20236060375368745969 * c36442(4627672202......)

# ECM B1=5e4, sigma=7144676382948390

n=109598: c54785(1508353762......) = 285152617455073554463 * c54764(5289636742......)

# ECM B1=5e4, sigma=5959209925114712

n=109620L: c12097(1000100005......) = 1058877642270665094145381 * c12072(9444906239......)

# ECM B1=5e4, sigma=2638163554087730

n=109666: c54794(2170067866......) = 1241958389564773659089 * c54773(1747295146......)

# ECM B1=5e4, sigma=1227619444704005

n=109776: c36577(1000000009......) = 122096150428167664686529 * c36553(8190266494......)

# ECM B1=5e4, sigma=4441043834851857

n=109780M: c19921(2796127961......) = 223371999726772462965961 * c19898(1251780869......)

# ECM B1=5e4, sigma=5699977418809649

n=109840: c43880(2100357850......) = 127715877705589803841 * c43860(1644554998......)

# ECM B1=5e4, sigma=1888949720418238

n=109848: c34842(2528493304......) = 15819320478153316774129 * c34820(1598357722......)

# ECM B1=5e4, sigma=7631545205615072

n=109958: c54945(1590407257......) = 1351907730499781322367807 * c54921(1176417015......)

# ECM B1=5e4, sigma=8884813358949801

n=109962: c35499(2788132252......) = 416744424998172601093 * c35478(6690268868......)

# ECM B1=5e4, sigma=7289697213942077

n=109966: c54967(7729323447......) = 839000283334569232738447 * c54943(9212539734......)

# ECM B1=5e4, sigma=5186865782546841

n=109974: c36657(1098901098......) = 12492076324182402150139 * c36634(8796785021......)

# ECM B1=5e4, sigma=2776040324736058

n=109980M: c13242(7729356540......) = 602048233441029763441 * c13222(1283843405......)

# ECM B1=5e4, sigma=8758940574876503

n=100092: c31519(9950911384......) = 64672692540899121709 * c31500(1538657351......)

# ECM B1=5e4, sigma=3119772992451517

n=100306: c50152(9090909090......) = 9386283091631599173329 * c50130(9685313134......)

# ECM B1=5e4, sigma=3897084081133591

n=100340L: c19256(1223814436......) = 27356340958065072758381 * c19233(4473604267......)

# ECM B1=5e4, sigma=4529003074687489

n=100360: c36849(1482221555......) = 132489321544239138961 * c36829(1118747939......)

# ECM B1=5e4, sigma=1404387538993866

n=100428: c33437(2995234863......) = 1957560195163138861 * c33419(1530085701......)

# ECM B1=5e4, sigma=3265929121340872

n=100434: c31666(4089148019......) = 5691677250609172957 * c31647(7184434111......)

# ECM B1=5e4, sigma=695780416987886

n=100474: c45620(5419406107......) = 14644369454446167691223 * c45598(3700675624......)

# ECM B1=5e4, sigma=6587319696088943

n=100508: c50237(1137473687......) = 64812599888086770222329 * c50214(1755019378......)

# ECM B1=5e4, sigma=6758579308891203

n=100620L: c12097(1105097795......) = 20754514158954137540119441 * c12071(5324614137......)

# ECM B1=5e4, sigma=6996277279558579

n=100626: c32382(2532787479......) = 3825015888912417091 * c32363(6621639106......)

# ECM B1=5e4, sigma=888274431467426

n=100646: c39298(5138705363......) = 2692356873112366391023 * c39277(1908627127......)

# ECM B1=5e4, sigma=8218885338306648

n=100656: c33380(1265418725......) = 3095591153675777569 * c33361(4087809605......)

# ECM B1=5e4, sigma=5667331547693415

n=100760: c36480(9999000099......) = 10343132920419430704195221281 * c36452(9667283768......)

# ECM B1=5e4, sigma=4468072884797736

n=100834: c50406(1387932492......) = 26242032357769841626969 * c50383(5288967230......)

# ECM B1=5e4, sigma=2579000120484267

n=100838: c49897(1099999999......) = 24594289860229314542809 * c49874(4472582889......)

# ECM B1=5e4, sigma=5153581582796338

n=100872: c33529(1066850732......) = 9456914026289753672689 * c33507(1128117195......)

# ECM B1=5e4, sigma=7462550015174984

n=100938: c33627(2319025936......) = 6727536445937369611 * c33608(3447065586......)

# ECM B1=5e4, sigma=3468127824018539

n=100940M: c17113(2835394498......) = 2596871026953353899439461 * c17089(1091850334......)

# ECM B1=5e4, sigma=8343804483897904

n=100966: c47791(6530352473......) = 5912082256458894917 * c47773(1104577404......)

# ECM B1=5e4, sigma=2681208385105937

n=100994: c50496(9090909090......) = 239495428841622553327411921 * c50470(3795859125......)

# ECM B1=5e4, sigma=6732650285326050

n=101020M: c20193(1348551091......) = 193186077029388068261 * x20172(6980581169......)

# ECM B1=5e4, sigma=6834642981812592

n=101020M: x20172(6980581169......) = 74919943555925425681 * x20152(9317387118......)

# ECM B1=5e4, sigma=8406164458518801

n=101020M: x20152(9317387118......) = 54353691436679704097741 * c20130(1714214227......)

# ECM B1=5e4, sigma=8406164458518801

n=101054: c50502(2940516003......) = 6094487233530673509767 * c50480(4824878436......)

# ECM B1=5e4, sigma=1376471437771320

n=101060L: c19425(6131707985......) = 15439944329793148621 * c19406(3971327781......)

# ECM B1=5e4, sigma=1709770884678708

n=101060M: c19428(2268160347......) = 3790823601166020466981 * c19406(5983291723......)

# ECM B1=5e4, sigma=8476326967777453

n=101100L: c13404(4029146816......) = 107442154385039040901 * c13384(3750061453......)

# ECM B1=5e4, sigma=7207627496192214

n=101130: c26953(1691430227......) = 49270165933043038123950361 * c26927(3432970430......)

# ECM B1=5e4, sigma=5260032050028528

n=101172: c33721(1009998990......) = 64209810175022135401 * c33701(1572966790......)

# ECM B1=5e4, sigma=5275641726072473

n=101180L: c20200(1448232466......) = 273406211955732070748454101 * c20173(5296999128......)

# ECM B1=5e4, sigma=5465584167647033

n=101260L: c19674(8907440792......) = 3006345938303637121 * c19656(2962879513......)

# ECM B1=5e4, sigma=7241098403305993

n=101294: c50614(2442164303......) = 161060190242783741053254247 * p50588(1516305363......)

# ECM B1=5e4, sigma=2733559210514424

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"(10^50647+1)/11/1418117/13674691/125401973/153072960451/161060190242783741053254247"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^50647+1)/11/1418117/13674691/125401973/153072960451/161060190242783741053254247 [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2
Running N+1 test using discriminant 5, base 5+sqrt(5)

Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
(10^50647+1)/11/1418117/13674691/125401973/153072960451/161060190242783741053254247 is Fermat and Lucas PRP! (116.6100s+0.0032s)

n=101306: c49279(4935517464......) = 48895490323133635807 * c49260(1009401364......)

# ECM B1=5e4, sigma=7224628559673297

n=101340L: c13482(8929311201......) = 593028828050538525301 * c13462(1505712838......)

# ECM B1=5e4, sigma=4902528282477246

n=101370: c25914(2258413658......) = 1613131987355679451 * c25896(1400017900......)

# ECM B1=5e4, sigma=4374777683352699

n=101474: c50156(4931822347......) = 1307215654746462569881 * c50135(3772768731......)

# ECM B1=5e4, sigma=7980664413019908

n=101580M: c13519(2035224850......) = 24137132680942002481 * c13499(8431924693......)

# ECM B1=5e4, sigma=7628740372472906

n=101598: c27832(1903584567......) = 1357173236183048887 * c27814(1402609863......)

# ECM B1=5e4, sigma=814737283635191

n=101604: c33839(1565629717......) = 101168113013649181141 * c33819(1547552554......)

# ECM B1=5e4, sigma=7756194181650185

n=101618: c44382(5762707368......) = 30294264891869541938783 * c44360(1902243671......)

# ECM B1=5e4, sigma=7386467533048948

n=101650: c38160(9999900000......) = 9684675325502446051 * c38142(1032548811......)

# ECM B1=5e4, sigma=2846288480585173

n=101682: c28939(2458639533......) = 15776355391603906681 * c28920(1558433157......)

# ECM B1=5e4, sigma=4880243179247087

n=101698: c50848(9090909090......) = 710342726017228067573 * c50828(1279791959......)

# ECM B1=5e4, sigma=5641237948846254

n=101746: c50872(9090909090......) = 1506991570010488116007 * c50851(6032488350......)

# ECM B1=5e4, sigma=3456623422763524

n=101782: c50881(9954023602......) = 198694884792045294150384341647 * c50852(5009702998......)

# ECM B1=5e4, sigma=1901116559439934

n=101854: c50401(1099999999......) = 91721262231887531317 * c50381(1199285719......)

# ECM B1=5e4, sigma=4425844656552035

n=101980M: c20393(2824060999......) = 2132242653990228786161 * c20372(1324455729......)

# ECM B1=5e4, sigma=5100589601364770

n=102020M: c20401(2824060999......) = 437376796680289896443641 * c20377(6456814858......)

# ECM B1=5e4, sigma=101034611076202

n=102060M: c11635(3735707576......) = 2173945828998230281 * c11617(1718399569......)

# ECM B1=5e4, sigma=754006602258999

n=102076: c46801(1000000000......) = 13597789815502823517289 * c46778(7354136323......)

# ECM B1=5e4, sigma=7133861622943381

n=102200: c34560(9999999999......) = 409924716453635849201 * c34540(2439472322......)

# ECM B1=5e4, sigma=8646297379259736

n=102222: c34013(4866979843......) = 831300934130248755583 * c33992(5854654607......)

# ECM B1=5e4, sigma=1905221329749978

n=102242: c42768(9090910000......) = 25542328354064801287 * c42749(3559154777......)

# ECM B1=5e4, sigma=2082346808048780

n=102264: c34054(5828644457......) = 1079100463021559833 * c34036(5401391860......)

# ECM B1=5e4, sigma=7227281070814370

n=102270: c23306(4684894382......) = 1516443601319882971 * c23288(3089395726......)

# ECM B1=5e4, sigma=7635184962816132

n=102420L: c13624(1266145309......) = 8643152355288538861 * x13605(1464911478......)

# ECM B1=5e4, sigma=2270885133598734

n=102420L: x13605(1464911478......) = 31278273337156699081 * c13585(4683479367......)

# ECM B1=5e4, sigma=4775972757491966

n=102692: c51333(2545813823......) = 40853743764594168959389 * c51310(6231531284......)

# ECM B1=5e4, sigma=8373444253496778

n=102700M: c18715(3278308738......) = 75341367144702141601 * c18695(4351273228......)

# ECM B1=5e4, sigma=8464855542310174

n=102724: c50401(1009999999......) = 7365089370983925959849 * c50379(1371334343......)

# ECM B1=5e4, sigma=265132095150610

n=102780M: c13668(6201615398......) = 32625026889795703076298686821 * c13640(1900876716......)

# ECM B1=5e4, sigma=6345419019163164

n=102830: c32238(7025293584......) = 9041483047211676881 * c32219(7770067750......)

# ECM B1=5e4, sigma=6256703451051484

n=102846: c33564(6228089591......) = 27699265316050957978333 * c33542(2248467430......)

# ECM B1=5e4, sigma=425744435256681

n=102860M: c19840(6404107672......) = 44280740612579368301 * c19821(1446251255......)

# ECM B1=5e4, sigma=502165910301351

n=102866: c48709(1099999999......) = 678006771077896251847 * c48688(1622402676......)

# ECM B1=5e4, sigma=6347052742318280

n=102874: c51424(2818659683......) = 330992525809737107685586891 * c51397(8515780458......)

# ECM B1=5e4, sigma=6093366069159462

n=102888: c34273(1000000000......) = 1352499263338128553 * c34254(7393719369......)

# ECM B1=5e4, sigma=8042701055426278

n=102980L: c19425(4971441833......) = 4108945401431978212661 * c19404(1209907007......)

# ECM B1=5e4, sigma=5299528610481617

n=103006: c51464(4105372345......) = 824123143922525011823 * c51443(4981503523......)

# ECM B1=5e4, sigma=5931212440618356

n=103102: c51540(3244575520......) = 6332103702552692540652557441 * c51512(5124008817......)

# ECM B1=5e4, sigma=4362177464930629

n=103152: c29326(5501362190......) = 373961128044333524688337 * c29303(1471105357......)

# ECM B1=5e4, sigma=5123575705230370

n=103210: c41281(1099989000......) = 1693417600326579371 * c41262(6495674781......)

# ECM B1=5e4, sigma=1669661849087960

n=103226: c51603(2616944006......) = 269543784819784356263 * c51582(9708790015......)

# ECM B1=5e4, sigma=5585864775166546

n=103318: c51625(6565027205......) = 4012661379611387201687 * x51604(1636078050......)

# ECM B1=5e4, sigma=2463847305176360

n=103318: x51604(1636078050......) = 58599181536755545859 * c51584(2791981060......)

# ECM B1=5e4, sigma=4969132521208704

n=103380M: c13747(3606167262......) = 2086080142593590595007261 * c13723(1728681074......)

# ECM B1=5e4, sigma=5632536412673127

n=103420L: c20661(3215083083......) = 86049268697767290401 * c20641(3736328189......)

# ECM B1=5e4, sigma=8279654546723287

n=103458: c33589(3676042581......) = 11493546245961863659 * c33570(3198353669......)

# ECM B1=5e4, sigma=4912652749858781

n=103540L: c19908(5180510617......) = 27674852173768676712170941 * x19883(1871919887......)

# ECM B1=5e4, sigma=7127108574128107

n=103540L: x19883(1871919887......) = 728589097044448133324801 * c19859(2569239500......)

# ECM B1=5e4, sigma=1513101291552606

n=103580L: c20704(1217060189......) = 181207882670511566381020921 * c20677(6716375529......)

# ECM B1=5e4, sigma=118858043855539

n=103606: c51802(9090909090......) = 946860518264337391902557 * c51778(9601106937......)

# ECM B1=5e4, sigma=808131271027227

n=103634: c51816(9090909090......) = 2289155673223988589373 * c51795(3971293519......)

# ECM B1=5e4, sigma=4892373930476796

n=103728: c34561(1000000009......) = 14039172599905064979361 * c34538(7122926959......)

# ECM B1=5e4, sigma=6309681323050924

n=103740M: c10331(8932254578......) = 5301882523362221161 * c10313(1684732647......)

# ECM B1=5e4, sigma=278971121008086

n=103778: c49122(2174390131......) = 28518250702009927176491 * c49099(7624556479......)

# ECM B1=5e4, sigma=7702464779556699

n=103792: c47809(1000000009......) = 246962171557106648449 * c47788(4049203178......)

# ECM B1=5e4, sigma=5146363840132533

n=103860M: c13803(3382688432......) = 18875911905601611481 * c13784(1792066232......)

# ECM B1=5e4, sigma=7967642891309426

n=103866: c29646(2528023623......) = 246798718138237941103 * c29626(1024326075......)

# ECM B1=5e4, sigma=1204122362767082

n=103922: c41018(4319185322......) = 41836570351023917826029817738069659 * c40984(1032394693......)

# ECM B1=5e4, sigma=1624259882733412

n=103940L: c20759(2437086669......) = 18556829096705115598381 * c20737(1313309864......)

# ECM B1=5e4, sigma=5975300905881972

n=103940M: c20757(9342381981......) = 196526128449681062941 * c20737(4753760761......)

# ECM B1=5e4, sigma=1605252199092303

n=103958: c51041(1099999999......) = 56311287094010357449 * c51021(1953427202......)

# ECM B1=5e4, sigma=1036515584590877

n=103976: c50526(6251228670......) = 52770804159897583205606297 * c50501(1184599850......)

# ECM B1=5e4, sigma=1897591695595451

n=103982: c51990(9090909090......) = 17875590130451630419 * c51971(5085655368......)

# ECM B1=5e4, sigma=4694856231159896

n=104050: c41579(7332064465......) = 3691236854635748251 * c41561(1986343535......)

# ECM B1=5e4, sigma=1192584673250028

n=104108: c48937(2585407470......) = 1709608817568417769 * c48919(1512280145......)

# ECM B1=5e4, sigma=683783023756717

n=104176: c48876(1668952060......) = 5780321225803250033 * c48857(2887299849......)

# ECM B1=5e4, sigma=7330542657638287

n=104202: c29715(1372215965......) = 5741287563833844877 * c29696(2390084019......)

# ECM B1=5e4, sigma=8486473631250295

n=104206: c52071(2396714841......) = 294092191786583359823807 * c52047(8149535785......)

# ECM B1=5e4, sigma=1316078616554673

n=104228: c51241(1009999999......) = 9081215131988439821 * c51222(1112185963......)

# ECM B1=5e4, sigma=3222628525715701

n=104260M: c19168(1691048436......) = 4487114033506284319378201 * c19143(3768677203......)

# ECM B1=5e4, sigma=4516279356553752

n=104380M: c19577(5561330775......) = 9049907389826872601 * x19558(6145179763......)

# ECM B1=5e4, sigma=3818590786730423

n=104380M: x19558(6145179763......) = 9849613584197149944341 * c19536(6239005937......)

# ECM B1=5e4, sigma=3854932642984432

n=104536: c51238(1876987178......) = 20351536305993449729 * c51218(9222827950......)

# ECM B1=5e4, sigma=2914184309675125

n=104540L: c20880(2303099610......) = 25613197940117118908141 * c20857(8991847155......)

# ECM B1=5e4, sigma=1104456767976197

n=104550: c25601(1000009999......) = 29677577161287881401 * c25581(3369580995......)

# ECM B1=5e4, sigma=7625898224867132

n=104562: c33670(9111210738......) = 22929989646637670437 * c33651(3973490995......)

# ECM B1=5e4, sigma=3767360108005087

n=104618: c48950(6051767089......) = 6815160327136163531 * c48931(8879860191......)

# ECM B1=5e4, sigma=7140588807149974

n=104654: c46191(7053701320......) = 281121666368463095011 * c46171(2509127599......)

# ECM B1=5e4, sigma=3689470076723488

n=104660L: c20911(1087945578......) = 1390961936310163899001 * c20889(7821533786......)

# ECM B1=5e4, sigma=3416346015800440

n=104700L: c13899(8553130075......) = 2285607028346638843665860401 * c13872(3742170009......)

# ECM B1=5e4, sigma=2814714662171307

n=104724: c34883(9252109359......) = 3995984215617979849688826183781 * c34853(2315351828......)

# ECM B1=5e4, sigma=2787201036317685

n=104740M: c20938(8536379280......) = 1763421823921996481 * c20920(4840803921......)

# ECM B1=5e4, sigma=1940017902054705

n=104824: c52392(3446096161......) = 557536665657063971035649 * c52368(6180931899......)

# ECM B1=5e4, sigma=469638931511155

n=104860L: c17754(2951513594......) = 8040670896280843241 * c17735(3670730505......)

# ECM B1=5e4, sigma=806948257512335

n=104912: c51155(4024830696......) = 1114412861861185553 * c51137(3611615438......)

# ECM B1=5e4, sigma=8487001605056118

n=104968: c52480(9999000099......) = 41747648544271434037753 * c52458(2395104981......)

# ECM B1=5e4, sigma=382900803983278

# 1232 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1232 個の Φ_n(10) の素因数分解が終わりました。

# 210953 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210953 個の Φ_n(10) の素因数が見つかりました。

September 25, 2023 2023 年 9 月 25 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=67939: c67939(1111111111......) = 17061578111502457935363277 * c67913(6512358375......)

# ECM B1=5e4, sigma=2919064981251016

n=75133: c75133(1111111111......) = 301443200894648541776809627 * c75106(3685971711......)

# ECM B1=5e4, sigma=1923325937303098

n=75169: c75169(1111111111......) = 2520947144695499743973929 * c75144(4407514506......)

# ECM B1=5e4, sigma=3040162263493001

n=75211: c75211(1111111111......) = 220024515145117747529 * c75190(5049942322......)

# ECM B1=5e4, sigma=8803762927832131

n=89939: c89939(1111111111......) = 3040824183230402332645868653 * c89911(3653980119......)

# ECM B1=5e4, sigma=4222544259352409

# 210902 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210902 個の Φ_n(10) の素因数が見つかりました。

# 20010 of 25997 R_prime factorizations were cracked. 25997 個中 20010 個の R_prime の素因数が見つかりました。

September 25, 2023 2023 年 9 月 25 日 (Kurt Beschorner)

n=5807: c5802(3188907703......) = 137946608122979692476806221285117 * c5770(2311697073......)

# ECM B1=1e6, sigma=0:93023444291959

n=10819: c10440(9000000000......) = 98482663132596508741513921 * c10414(9138664322......)

# P-1 B1=48e6

n=10933: c9649(2266454905......) = 884253248205418240454903555525803 * c9616(2563128731......)

# P-1 B1=50e6

n=12673: c11083(7306240332......) = 11307872309734376451191 * c11061(6461198121......)

# P-1 B1=42e6

n=147607: c147607(1111111111......) = 65162391555104214785809 * c147584(1705141699......)

# ECM B1=5e4, sigma=0:3687366055284464

September 24, 2023 2023 年 9 月 24 日 (Alfred Reich)

# via Kurt Beschorner

n=80140L: c15988(2385789731......) = 10320797126048724428803561 * c15963(2311633203......)

# ECM B1=5e4, sigma=3374929985420672

n=80288: c36843(7722991789......) = 1483846171418716475969 * c36822(5204711875......)

# ECM B1=5e4, sigma=5054710964888856

n=80300M: c14376(4627356677......) = 730813343093805809549058601 * c14349(6331790082......)

# ECM B1=5e4, sigma=3902310613638212

n=80358: c26197(1888823632......) = 11003512139349380899 * c26178(1716564319......)

# ECM B1=5e4, sigma=8343190894711994

n=80460M: c10642(1710722053......) = 3398749989277899123181 * c10620(5033385978......)

# ECM B1=5e4, sigma=3593618668216613

n=80500M: c13201(1000000000......) = 113638313579437409563993501 * c13174(8799848999......)

# ECM B1=5e4, sigma=8757775987112411

n=80620M: c15451(1050983269......) = 2551866926537700301 * x15432(4118487756......)

# ECM B1=5e4, sigma=6184965694053625

n=80620M: x15432(4118487756......) = 292367837998889975941 * c15412(1408666488......)

# ECM B1=5e4, sigma=7613697983959182

n=80620L: c15412(1043546613......) = 44499137484856023961 * c15392(2345094022......)

# ECM B1=5e4, sigma=1957581071235214

n=80740L: c14613(7114629859......) = 44663795417983299447351192721 * c14585(1592929976......)

# ECM B1=5e4, sigma=4493842165731439

n=80860L: c14869(2537064170......) = 3657616541562828781 * c14850(6936386418......)

# ECM B1=5e4, sigma=377149732024855

n=80900L: c16150(9810756996......) = 24886225679926687861901 * x16128(3942243843......)

# ECM B1=5e4, sigma=7865589645513156

n=80900L: x16128(3942243843......) = 16462891570597994425301 * c16106(2394624192......)

# ECM B1=5e4, sigma=4924988161129710

n=81030: c20729(1052913171......) = 4794260875193021851 * c20710(2196194990......)

# ECM B1=5e4, sigma=4791241532446086

n=81060M: c9198(3996064682......) = 473662754177141888592241 * x9174(8436518698......)

# ECM B1=5e4, sigma=2225691047116023

n=81060M: x9174(8436518698......) = 2235070814870319351241 * c9153(3774609127......)

# ECM B1=5e4, sigma=3545690314913904

n=81102: c23160(9100000909......) = 2658109052039260051 * c23142(3423486671......)

# ECM B1=5e4, sigma=3023752217605079

n=81300M: c10764(1875708297......) = 7197332458721282669101 * c10742(2606115957......)

# ECM B1=5e4, sigma=2005272190355121

n=81302: c36192(9090909090......) = 2403556183525920450899 * c36171(3782274428......)

# ECM B1=5e4, sigma=3476338979075812

n=81500M: c16170(4364093468......) = 17601677538589951501 * c16151(2479362241......)

# ECM B1=5e4, sigma=7105652356043704

n=81540L: c10795(1226267817......) = 2681327932944461180006761 * x10770(4573360098......)

# ECM B1=5e4, sigma=1413255140558419

n=81540L: x10770(4573360098......) = 27586245627823542692941 * c10748(1657840708......)

# ECM B1=5e4, sigma=39140576565278

n=81620M: c12480(3572799648......) = 34232740513926990778488901 * c12455(1043679119......)

# ECM B1=5e4, sigma=4097240709034895

n=81780L: c10305(2555229610......) = 131779722138933648079681 * c10282(1939015782......)

# ECM B1=5e4, sigma=1715982627525775

n=81820M: c16324(1798618863......) = 208524644005042838620661 * c16300(8625449869......)

# ECM B1=5e4, sigma=1704719840566840

n=81860L: c16359(1119497811......) = 954067550489107204047721 * x16335(1173394704......)

# ECM B1=5e4, sigma=8332168474143266

n=81860L: x16335(1173394704......) = 509185565548902369811141 * c16311(2304453982......)

# ECM B1=5e4, sigma=743850648770326

n=82020L: c10923(2056352743......) = 1807653976266072870121 * c10902(1137580958......)

# ECM B1=5e4, sigma=7584981953454196

n=82080: c20729(9229723290......) = 38032106788350369607681 * c20707(2426824088......)

# ECM B1=5e4, sigma=7791869003128050

n=82100L: c16372(1748339910......) = 1028933637628070810201 * x16351(1699176551......)

# ECM B1=5e4, sigma=3574149197709616

n=82100L: x16351(1699176551......) = 324763003819995306541901 * c16327(5232050854......)

# ECM B1=5e4, sigma=7211372408539666

n=82114: c41051(3690346017......) = 93034047851132973532169 * c41028(3966661779......)

# ECM B1=5e4, sigma=7148793315229801

n=82134: c25266(1667838879......) = 7266107295537713533 * c25247(2295367810......)

# ECM B1=5e4, sigma=5553802162767334

n=82140M: c10636(5578259019......) = 26714365185318115104061 * c10614(2088112137......)

# ECM B1=5e4, sigma=189040955524202

n=82256: c39937(1000000009......) = 7369465330204109441 * c39918(1356950559......)

# ECM B1=5e4, sigma=6748811537475125

n=82474: c34258(6292433382......) = 801171308962413437441 * c34237(7854042340......)

# ECM B1=5e4, sigma=663897900342497

n=82486: c41204(4020539006......) = 6939451425161799117493 * c41182(5793741840......)

# ECM B1=5e4, sigma=5143132897669644

n=82580L: c16489(1260865406......) = 7147621074429131033037121 * c16464(1764035045......)

# ECM B1=5e4, sigma=5290762144861649

n=82752: c27502(9627929572......) = 21255083520856799518081 * c27480(4529706770......)

# ECM B1=5e4, sigma=1961072254158367

n=82820M: c16000(3541000000......) = 16271820029182521626821 * c15978(2176154845......)

# ECM B1=5e4, sigma=6542772540602452

n=82900M: c16561(1010050200......) = 163441646815494794701 * c16540(6179882670......)

# ECM B1=5e4, sigma=1433739473606460

n=83094: c25160(9100000000......) = 574409332043428786213 * c25140(1584236100......)

# ECM B1=5e4, sigma=3911321451162354

n=83100M: c11036(1215448790......) = 159278451440272494301 * c11015(7630968155......)

# ECM B1=5e4, sigma=3740168947371671

n=83260M: c15806(3610503754......) = 27137846839260137221 * c15787(1330431178......)

# ECM B1=5e4, sigma=139857036690816

n=83260L: c15806(1026830736......) = 24446520487155050549081 * c15783(4200314464......)

# ECM B1=5e4, sigma=8186177222239723

n=83284: c40653(3927866970......) = 234910999476692654321 * c40633(1672066007......)

# ECM B1=5e4, sigma=6986594634373101

n=83314: c32391(4753070301......) = 3331749238540723771 * c32373(1426599050......)

# ECM B1=5e4, sigma=6279889504046346

n=83500M: c16578(1881078207......) = 28058753595720042001 * c16558(6704069022......)

# ECM B1=5e4, sigma=681483828320990

n=83580M: c9475(1121614267......) = 3646459164179063538601 * c9453(3075899707......)

# ECM B1=5e4, sigma=5135928831404473

n=83900M: c16741(3822695439......) = 4754460466440476201 * c16722(8040229730......)

# ECM B1=5e4, sigma=350520191038152

n=83904: c25344(9999999999......) = 771181107142214751553 * c25324(1296712264......)

# ECM B1=5e4, sigma=711036107336783

n=84020M: c16800(3576409999......) = 1275737878498633961 * c16782(2803405041......)

# ECM B1=5e4, sigma=6837181988048530

n=84110: c31008(9091000000......) = 1165204061003971171 * c30990(7802066869......)

# ECM B1=5e4, sigma=8863955602826305

n=84140M: c14384(6755118215......) = 17218126362479973792039781 * c14359(3923259751......)

# ECM B1=5e4, sigma=7511208314428562

n=84334: c41710(1605498310......) = 60386840043999073489 * c41690(2658689060......)

# ECM B1=5e4, sigma=5167123620923944

n=84340M: c16853(1652393174......) = 114139330426579074598017041 * c16827(1447698324......)

# ECM B1=5e4, sigma=6276204141359245

n=84358: c42178(9090909090......) = 36880339618869630051716693 * c42153(2464974342......)

# ECM B1=5e4, sigma=1804575938962113

n=84820M: c16949(4002158581......) = 45265152245966466181 * c16929(8841588690......)

# ECM B1=5e4, sigma=4787000023886033

n=85100M: c15840(9900498006......) = 324448913396966564201 * c15820(3051481326......)

# ECM B1=5e4, sigma=4703183105985792

n=85260L: c9397(1208018279......) = 21179233674384724592221 * c9374(5703786538......)

# ECM B1=5e4, sigma=8774650569631771

n=85260M: c9396(1679922838......) = 3912585657331488901 * c9377(4293638493......)

# ECM B1=5e4, sigma=5789476643936100

n=85340L: c15972(1140277195......) = 32089865241355434101 * c15952(3553387296......)

# ECM B1=5e4, sigma=3261933778322848

n=85500L: c10791(5095367442......) = 17155427290710998359501 * c10769(2970119808......)

# ECM B1=5e4, sigma=3123413326297017

n=85588: c42765(1691007308......) = 368442808915676555101 * c42744(4589605950......)

# ECM B1=5e4, sigma=6931453254778135

n=85660L: c17112(1293970915......) = 1396378535883281442916121 * c17087(9266619916......)

# ECM B1=5e4, sigma=2379633408189526

n=85696: c39142(1161211033......) = 151299117250061606593 * c39121(7674935943......)

# ECM B1=5e4, sigma=5742125528313728

n=85700M: c17094(1896998779......) = 1975137865116384701 * c17075(9604386677......)

# ECM B1=5e4, sigma=8181341946285664

n=85820L: c14659(1086957247......) = 966653272337970658595281 * c14635(1124454112......)

# ECM B1=5e4, sigma=142461736281088

n=85910: c30788(1653537615......) = 2341677386108361841 * c30769(7061338277......)

# ECM B1=5e4, sigma=2597202005426929

n=85980L: c11450(3269406981......) = 6205602456299640181 * c11431(5268476355......)

# ECM B1=5e4, sigma=1482402876203543

n=85980M: c11450(9103357812......) = 472056564506876484263881 * c11427(1928446397......)

# ECM B1=5e4, sigma=1995944465546352

n=86060L: c15832(9157297230......) = 1643897044689325779341 * x15811(5570480985......)

# ECM B1=5e4, sigma=6114649321300667

n=86060L: x15811(5570480985......) = 9401159254572015061 * c15792(5925312863......)

# ECM B1=5e4, sigma=5391604475793335

n=86126: c43044(5588620068......) = 74967404231014134864917 * c43021(7454733327......)

# ECM B1=5e4, sigma=2647354582957990

n=86180L: c16533(4827698275......) = 1247875573581453267901 * x16512(3868733692......)

# ECM B1=5e4, sigma=7162121640494647

n=86180L: x16512(3868733692......) = 76915965848698981048145201 * c16486(5029818776......)

# ECM B1=5e4, sigma=1173214511247731

n=86180M: c16560(3541000000......) = 15991614922175702877701 * c16538(2214285434......)

# ECM B1=5e4, sigma=2224301169134499

n=86260L: c16257(5013579951......) = 27474502951424831114941 * c16235(1824811884......)

# ECM B1=5e4, sigma=8257802740879694

n=86500L: c17188(1189639589......) = 13058762617722304687360001 * c17162(9109895205......)

# ECM B1=5e4, sigma=8964150085235714

n=86540M: c17287(8890883633......) = 901421450284944967361 * c17266(9863181790......)

# ECM B1=5e4, sigma=6812106782335629

n=86544: c28794(2180153495......) = 2134174010419178353 * c28776(1021544393......)

# ECM B1=5e4, sigma=8336226650486277

n=86620L: c16784(4066287325......) = 10825585183881993336034841 * x16759(3756182466......)

# ECM B1=5e4, sigma=7850573863386655

n=86620L: x16759(3756182466......) = 2251101652501608595001 * c16738(1668597445......)

# ECM B1=5e4, sigma=5076946201579054

n=86700L: c10870(3857378758......) = 891767699092679412704401 * c10846(4325542137......)

# ECM B1=5e4, sigma=6777305891681437

n=86780M: c17305(5053779864......) = 438460659449182817401 * c17285(1152618771......)

# ECM B1=5e4, sigma=8446919133419419

n=86940M: c9470(2351705732......) = 135267794722253665081 * c9450(1738555535......)

# ECM B1=5e4, sigma=550026969990818

n=87092: c43520(1524900472......) = 1771372154514212028481 * c43498(8608583286......)

# ECM B1=5e4, sigma=7358684056501209

n=87140L: c17395(7769350636......) = 9213057388961547061 * c17376(8432977575......)

# ECM B1=5e4, sigma=7286944371718899

n=87140M: c17424(3576409999......) = 15054717094753935301 * c17405(2375607576......)

# ECM B1=5e4, sigma=8888669819698009

n=87260L: c17449(2824060999......) = 358303763911863014395781 * c17425(7881750861......)

# ECM B1=5e4, sigma=6016359581008806

n=87262: c35627(1107643364......) = 1064787008593268272806089 * c35603(1040248759......)

# ECM B1=5e4, sigma=3958556758902558

n=87420M: c11035(9743078879......) = 2161879933572091279662901 * c11011(4506762252......)

# ECM B1=5e4, sigma=8909560764783743

n=87820L: c17539(4044871847......) = 51716770379669250301 * c17519(7821199617......)

# ECM B1=5e4, sigma=8080633006959750

n=87860M: c16714(6717112988......) = 8291104235134196868541 * x16692(8101590328......)

# ECM B1=5e4, sigma=5068865678126467

n=87860M: x16692(8101590328......) = 40145303337704977919322899141 * x16664(2018066786......)

# ECM B1=5e4, sigma=1649191222570136

n=87860M: x16664(2018066786......) = 108406068005251938521 * c16644(1861581019......)

# ECM B1=5e4, sigma=6280676570994305

n=87900M: c11681(1010050099......) = 1016589330785800501 * x11662(9935674801......)

# ECM B1=5e4, sigma=2687271554826694

n=87900M: x11662(9935674801......) = 78440718485472915739021201 * c11637(1266647602......)

# ECM B1=5e4, sigma=4537566419520779

n=87940M: c17579(1355619908......) = 14882215734532358081 * c17559(9108992457......)

# ECM B1=5e4, sigma=1176894805536016

n=87970: c33246(6073205851......) = 51521557295048213171 * c33227(1178769852......)

# ECM B1=5e4, sigma=5072640065115483

n=87978: c25182(4212766058......) = 8243151973583134411 * c25163(5110625246......)

# ECM B1=5e4, sigma=7051632093625132

n=88020M: c11654(1766734948......) = 6562121690539402921 * c11635(2692322745......)

# ECM B1=5e4, sigma=5009319965172114

n=88036: c40609(1009999999......) = 11022369532355090972141 * c40586(9163183987......)

# ECM B1=5e4, sigma=2757443824363534

n=88236: c27216(9999999999......) = 123085276537874761261 * c27196(8124448578......)

# ECM B1=5e4, sigma=2105359195139853

n=88260L: c11734(1819000985......) = 115875906521205459085913161 * c11708(1569783607......)

# ECM B1=5e4, sigma=2193881720648221

n=88300M: c17592(2143246429......) = 97630759736560486901 * c17572(2195257350......)

# ECM B1=5e4, sigma=7681898621599527

n=88300L: c17615(7319426939......) = 393949245937734843101 * c17595(1857961911......)

# ECM B1=5e4, sigma=5775425279384324

n=88486: c43791(1624120753......) = 21445385482315954441 * c43771(7573287757......)

# ECM B1=5e4, sigma=7939531007095423

n=88534: c44250(1353532903......) = 14821858915671365975557487 * c44224(9132005044......)

# ECM B1=5e4, sigma=8952186082601573

n=88700M: c17721(1010050200......) = 2779539995207419712258201 * c17696(3633875398......)

# ECM B1=5e4, sigma=304387663895312

n=88724: c43178(2800591221......) = 21726317840691825509 * c43159(1289031690......)

# ECM B1=5e4, sigma=2058776215627262

n=88780M: c16885(6421566145......) = 8449021354422633961 * c16866(7600366807......)

# ECM B1=5e4, sigma=2372662184233921

n=88860M: c11836(2847067709......) = 1705884729064243417801 * c11815(1668968401......)

# ECM B1=5e4, sigma=8576427772502469

n=88890: c23668(1394412746......) = 4404110287359031957171 * c23646(3166162188......)

# ECM B1=5e4, sigma=2098074776431839

n=88918: c42493(1144327748......) = 26909220770095411207 * c42473(4252548812......)

# ECM B1=5e4, sigma=7227873393428635

n=88944: c27648(9999999900......) = 15738077802079451743489 * c27626(6354016053......)

# ECM B1=5e4, sigma=4854248953935196

n=88988: c44452(1907076769......) = 26410560915835470971101 * c44429(7220887036......)

# ECM B1=5e4, sigma=1216057125184313

n=89180L: c14079(3714813779......) = 556212973222051299701 * c14058(6678761478......)

# ECM B1=5e4, sigma=2713397508826546

n=89220L: c11842(7189445636......) = 10395654401721016381 * c11823(6915818243......)

# ECM B1=5e4, sigma=7186169563857648

n=89270: c34936(6301802142......) = 4086002541325289281 * c34918(1542290314......)

# ECM B1=5e4, sigma=6767667188913264

n=89300L: c16560(9900498006......) = 26775789165096054633301 * c16538(3697556007......)

# ECM B1=5e4, sigma=7547052306892181

n=89340M: c11884(4793134445......) = 21454595875604125501 * c11865(2234082838......)

# ECM B1=5e4, sigma=8368763552426765

n=89380M: c17246(2127345293......) = 4149915151492535741 * c17227(5126238045......)

# ECM B1=5e4, sigma=1788702878401802

n=89432: c38290(1835829267......) = 16206502868683126777 * c38271(1132773234......)

# ECM B1=5e4, sigma=5690702321205969

n=89500L: c17776(2814791490......) = 16522274545442067001 * x17757(1703634377......)

# ECM B1=5e4, sigma=5365857496522029

n=89500L: x17757(1703634377......) = 5693786347956125501 * c17738(2992093965......)

# ECM B1=5e4, sigma=2990883494465577

n=89606: c40698(1549275703......) = 7459098042252486037 * c40679(2077028207......)

# ECM B1=5e4, sigma=8732597585354301

n=89740L: c15351(4616415171......) = 24022880758737362741 * c15332(1921674264......)

# ECM B1=5e4, sigma=5253541700860678

n=89818: c44888(6180212088......) = 153321297566821668196009 * c44865(4030889502......)

# ECM B1=5e4, sigma=363685156188710

n=89820L: c11942(4565900835......) = 796202471877944444990461 * c11918(5734597664......)

# ECM B1=5e4, sigma=1245661566423387

n=89824: c38401(1000000000......) = 25315743664393680737 * c38381(3950111097......)

# ECM B1=5e4, sigma=37322792731804

n=89900M: c16786(9354737692......) = 335203357091734799710501 * c16763(2790764917......)

# ECM B1=5e4, sigma=6347933039763458

n=89940L: c11985(2529932837......) = 841601657253737539441 * c11964(3006092983......)

# ECM B1=5e4, sigma=2002752359921859

n=90000: c23980(2779249909......) = 64676020469204659728780001 * c23954(4297187565......)

# ECM B1=1e5, sigma=124313399134533

n=90020M: c15377(1805095768......) = 28050316874575505740792801 * c15351(6435206335......)

# ECM B1=5e4, sigma=2783984953854648

n=90112: c40960(9999999999......) = 606587526434365358081 * c40940(1648566705......)

# ECM B1=5e4, sigma=3008789989266077

n=90220L: c16576(5179790869......) = 3339983829472483837541 * c16555(1550843097......)

# ECM B1=5e4, sigma=7438544383183952

n=90260M: c18039(3164854472......) = 124087227592066101557810621 * c18013(2550507843......)

# ECM B1=5e4, sigma=2738239560069538

n=90262: c45090(6952768785......) = 73322543825898849989887 * c45067(9482443492......)

# ECM B1=5e4, sigma=988648763160162

n=90540M: c12048(9048972901......) = 2048491619307066392101 * c12027(4417383413......)

# ECM B1=5e4, sigma=1282130881338452

n=90552: c23512(8877313739......) = 5821250860326169549513 * c23491(1524983882......)

# ECM B1=5e4, sigma=7581517994024602

n=90642: c30184(2059385343......) = 903865488069170764972693 * c30160(2278420153......)

# ECM B1=5e4, sigma=2524995135728950

n=90672: c30209(1000000009......) = 42235081442760888961 * c30189(2367699968......)

# ECM B1=5e4, sigma=4564106263260815

n=90700M: c18120(9900498007......) = 120961525323076556101 * c18100(8184832310......)

# ECM B1=5e4, sigma=3971924162678527

n=90860M: c13909(2054242942......) = 8922217232110246681 * c13890(2302390638......)

# ECM B1=5e4, sigma=7035688521531538

n=91048: c43048(2318833848......) = 9598857590155647008137 * c43026(2415739400......)

# ECM B1=5e4, sigma=2637752096677666

n=91092: c30344(1550952332......) = 3094663035379679161 * c30325(5011700190......)

# ECM B1=5e4, sigma=2971442362598870

n=91100M: c18176(1038125085......) = 94712636555876068701401 * c18153(1096078752......)

# ECM B1=5e4, sigma=2197167470112952

n=91156: c42032(6273452104......) = 62093045120652985652201 * c42010(1010330882......)

# ECM B1=5e4, sigma=921072669580473

n=91180L: c17614(8311500404......) = 129215579950652735161 * c17594(6432274194......)

# ECM B1=5e4, sigma=5754157934384106

n=91180M: c17643(2503154595......) = 1332343744620877841 * c17625(1878760346......)

# ECM B1=5e4, sigma=2515511992455923

n=91458: c30476(1094479492......) = 32227133569156792207 * c30456(3396142849......)

# ECM B1=5e4, sigma=1970047990888634

n=91540M: c17411(1630676286......) = 104584125278620219541 * c17391(1559200578......)

# ECM B1=5e4, sigma=5451144654417078

n=91540L: c17404(2232720732......) = 3009271527271020281 * c17385(7419472495......)

# ECM B1=5e4, sigma=3305122206621599

n=91666: c45825(4507921366......) = 31213066347205693847953613 * c45800(1444241753......)

# ECM B1=5e4, sigma=3460001371136576

n=91870: c36712(4074657397......) = 83375593394044170481 * c36692(4887110521......)

# ECM B1=5e4, sigma=1370244992781980

n=92180M: c16702(2228448354......) = 2206191030675279733257041 * c16678(1010088575......)

# ECM B1=5e4, sigma=1383568333776291

n=92460L: c11597(2092030839......) = 2649465072537981241 * x11578(7896049890......)

# ECM B1=5e4, sigma=7578936458571001

n=92460L: x11578(7896049890......) = 978770904163926650341 * c11557(8067311621......)

# ECM B1=5e4, sigma=5108609624811016

n=92504: c44616(9824121661......) = 99198394225808897809486849 * c44590(9903508759......)

# ECM B1=5e4, sigma=7406654356927682

n=92720: c34555(5392550676......) = 1558407420096139681 * c34537(3460295816......)

# ECM B1=5e4, sigma=4495365194317114

n=92740M: c18525(1848577290......) = 21743574937726761541 * c18505(8501717385......)

# ECM B1=5e4, sigma=6803232946402538

n=92780L: c18535(2790426189......) = 9644462895350643537701 * c18513(2893293509......)

# ECM B1=5e4, sigma=8840826894585792

n=92818: c42181(1099999999......) = 15688377329793988447 * c42161(7011560066......)

# ECM B1=5e4, sigma=3423259809638097

n=92980L: c18593(2824060999......) = 1341074399239787833011821 * c18569(2105819782......)

# ECM B1=5e4, sigma=2552539779726078

n=93020L: c18578(2178632436......) = 809412014080177741549205288681 * c18548(2691623546......)

# ECM B1=5e4, sigma=7327185920256050

n=93140M: c18609(8678272945......) = 12558610588933900121 * c18590(6910217403......)

# ECM B1=5e4, sigma=6071780788238494

n=93280: c33255(3095002736......) = 5792550379590050561 * c33236(5343074352......)

# ECM B1=5e4, sigma=3451148429707246

n=93580L: c18687(3426996092......) = 8033243465575759700701 * c18665(4266017963......)

# ECM B1=5e4, sigma=830469562367873

n=93828: c26784(9901000000......) = 12984014683545176209 * c26765(7625530501......)

# ECM B1=5e4, sigma=5887904240746792

n=93842: c40193(4774948208......) = 1515251421062546329 * c40175(3151258030......)

# ECM B1=5e4, sigma=3912162100074809

n=93860L: c16417(1000000001......) = 11310900014878758773675821 * c16391(8841029446......)

# ECM B1=5e4, sigma=1818456036559092

n=93862: c46164(8980534298......) = 1094174682143630928487 * c46143(8207587367......)

# ECM B1=5e4, sigma=7149402463186928

n=93900L: c12466(4812349541......) = 13058800592618167501 * c12447(3685139004......)

# ECM B1=5e4, sigma=7235797397603526

n=93980L: c18127(1080938254......) = 142466327928588957833681 * c18103(7587324461......)

# ECM B1=5e4, sigma=6694461078054031

n=94180M: c17610(5835371533......) = 15928421677615006508141 * c17588(3663496391......)

# ECM B1=5e4, sigma=7548756664883679

n=94220L: c16116(1302217354......) = 2317956157680212140688801 * c16091(5617955067......)

# ECM B1=5e4, sigma=5704632070928658

n=94260M: c12554(1537725082......) = 3753130881167693965141 * c12532(4097179477......)

# ECM B1=5e4, sigma=6661759805779126

n=94272: c31356(1060749101......) = 40366620557812707841 * c31336(2627787727......)

# ECM B1=5e4, sigma=2397953577456887

n=94286: c47120(6866636962......) = 217446973154243164295856527 * c47094(3157844353......)

# ECM B1=5e4, sigma=7768750660619891

n=94494: c31497(1098901098......) = 88433573537914818836983 * c31474(1242628851......)

# ECM B1=5e4, sigma=1015288262340022

n=94564: c46172(2830714521......) = 38819326713407946401 * c46152(7292023744......)

# ECM B1=5e4, sigma=4933632854614340

n=94572: c30226(6624073120......) = 31037802735341696689 * c30207(2134195251......)

# ECM B1=5e4, sigma=751870703191310

n=94620L: c11797(4859662395......) = 470801541001373209681 * c11777(1032210384......)

# ECM B1=5e4, sigma=7908435324682763

n=94650: c25196(1056502308......) = 19592367848434261661118001 * c25170(5392417684......)

# ECM B1=5e4, sigma=627552272500323

n=94660M: c18911(6300865440......) = 2653236302414862876241 * c18890(2374784874......)

# ECM B1=5e4, sigma=6920874155200207

n=95058: c31637(3931120855......) = 942868201432790189647 * c31616(4169321702......)

# ECM B1=5e4, sigma=6967845153119178

n=95340M: c10808(4255877532......) = 269443206115299013561 * c10788(1579508198......)

# ECM B1=5e4, sigma=4022224215700587

n=95372: c47041(1009999999......) = 20932459503530526229 * c47021(4825042178......)

# ECM B1=5e4, sigma=1251930183582646

n=95420L: c17569(2796097203......) = 11308377377506786767581 * c17547(2472589223......)

# ECM B1=5e4, sigma=890403400529017

n=95540L: c17862(7893332665......) = 19587047157496548729161 * c17840(4029873723......)

# ECM B1=5e4, sigma=6986512976693841

n=95594: c47754(5236129539......) = 52942698986532005830789658569 * c47725(9890182478......)

# ECM B1=5e4, sigma=561425382564953

n=95686: c47836(4524175087......) = 82744355163215819879303 * c47813(5467654052......)

# ECM B1=5e4, sigma=1822148196391386

n=95698: c46981(1099999999......) = 1851349689249543733 * c46962(5941611173......)

# ECM B1=5e4, sigma=2672627435951633

n=95740L: c19145(2824060999......) = 210113030792239706541821 * c19122(1344067518......)

# ECM B1=5e4, sigma=3053601119243705

n=96000: c25586(4515090782......) = 14798322387197057088001 * c25564(3051082862......)

# ECM B1=5e4, sigma=8996251277007709

n=96056: c48009(2652033735......) = 3675455222673680438449 * c47987(7215524540......)

# ECM B1=5e4, sigma=4097334972761022

n=96064: c44929(1000000000......) = 99665615073400501480106055041 * c44900(1003355068......)

# ECM B1=5e4, sigma=2532335391284669

n=96100L: c18595(1156201692......) = 1207447988399223620928636701 * c18567(9575581752......)

# ECM B1=5e4, sigma=5071136960993716

n=96166: c41185(9104881663......) = 231919019727699632077 * c41165(3925888300......)

# ECM B1=5e4, sigma=6459422217205953

n=96324: c30612(2988696505......) = 1433557184404875709 * c30594(2084811500......)

# ECM B1=5e4, sigma=2449031579173691

n=96362: c41263(5320387192......) = 196933703444989694401 * c41243(2701613334......)

# ECM B1=5e4, sigma=3650684271667093

n=96500L: c19186(1518038470......) = 213954986175477064415438501 * c19159(7095130137......)

# ECM B1=5e4

n=96542: c48260(4762198292......) = 3977469632302407309521497049 * c48233(1197293438......)

# ECM B1=5e4, sigma=6224984157192122

n=96620L: c19305(6547275125......) = 341189876717152275097301 * c19282(1918953512......)

# ECM B1=5e4, sigma=3720663337193421

n=96660L: c12793(1018382851......) = 627360504023361660283261 * c12769(1623281741......)

# ECM B1=5e4, sigma=1101774909477707

n=96690: c23361(1098890109......) = 334498684997608964902411 * c23337(3285185142......)

# ECM B1=5e4, sigma=6816555918517648

n=96740L: c16544(4715457252......) = 53621312173819566821 * c16524(8793998246......)

# ECM B1=5e4, sigma=4872600333975585

n=96820L: c18756(5174499663......) = 997695301938786186881 * x18735(5186452871......)

# ECM B1=5e4, sigma=4396425325248636

n=96820L: x18735(5186452871......) = 1347251943302623201 * c18717(3849653286......)

# ECM B1=5e4, sigma=1431147834149397

n=96820M: c18759(3099508850......) = 1130980998964752651673241 * c18735(2740549004......)

# ECM B1=5e4, sigma=3844140687942298

n=96888: c29271(6820993776......) = 2149241605940339329 * c29253(3173674731......)

# ECM B1=5e4, sigma=7096138191581233

n=97060M: c18461(1174189726......) = 4130088345415666632948858641 * c18433(2843013583......)

# ECM B1=5e4, sigma=8169706444755604

n=97060L: c18464(8244770532......) = 595424124748166116661 * c18444(1384688693......)

# ECM B1=5e4, sigma=4383908699020624

n=97140L: c12911(8770805704......) = 38018797086194063728801 * c12889(2306965600......)

# ECM B1=5e4, sigma=7022596100297388

n=97180L: c18796(5184345276......) = 52702762991998235881 * c18776(9836951579......)

# ECM B1=5e4, sigma=8113659300312729

n=97186: c48560(3157833107......) = 350276354239642923868762807 * c48533(9015262004......)

# ECM B1=5e4, sigma=609136658021291

n=97278: c31302(3071994002......) = 574476569272415383531 * c31281(5347466140......)

# ECM B1=5e4, sigma=4795943781565209

n=97354: c48670(2075108941......) = 9443056039475724977531531 * c48645(2197497222......)

# ECM B1=5e4, sigma=3265569819679356

n=97420L: c19481(2824060999......) = 606436865074891459078061 * c19457(4656809574......)

# ECM B1=5e4, sigma=7693249291824820

n=97460L: c17667(4200199707......) = 16450933141857608690341 * c17645(2553168061......)

# ECM B1=5e4, sigma=6662531490827820

n=97500L: c11985(1126582112......) = 33682091931133230001 * c11965(3344751017......)

# ECM B1=5e4, sigma=8846858528392318

n=97522: c48747(1446955872......) = 10904029058113566352315493 * c48722(1326991945......)

# ECM B1=5e4, sigma=3285569057719390

n=97558: c48773(1035383935......) = 1078868654295226620123971 * c48748(9596941492......)

# ECM B1=5e4, sigma=6130546341171665

n=97620L: c13008(3913542626......) = 142166762802380398685641 * c12985(2752783104......)

# ECM B1=5e4, sigma=3743437546942168

n=97620M: c13001(6856119475......) = 6164904905385632281 * c12983(1112120881......)

# ECM B1=5e4, sigma=943096476119815

n=97860L: c11093(4846984035......) = 855025945191472231381 * c11072(5668815153......)

# ECM B1=5e4, sigma=8492537145689251

n=97908: c31666(5712420088......) = 150619383866403061969 * c31646(3792619476......)

# ECM B1=5e4, sigma=1061186691852654

n=97940L: c19025(2796100000......) = 1044326227359913668891121 * c19001(2677420069......)

# ECM B1=5e4, sigma=515302778908648

n=98086: c49026(1353085694......) = 165298386615337301829527 * c49002(8185716282......)

# ECM B1=5e4, sigma=5938276546956217

n=98100M: c12960(9999999000......) = 255635360680530637966262401 * c12934(3911821499......)

# ECM B1=5e4, sigma=8693166530785980

n=98140M: c16791(3480569265......) = 25468324614514884481 * c16772(1366626708......)

# ECM B1=5e4, sigma=5945116440445325

n=98358: c29939(6269873824......) = 151331673499100706379 * c29919(4143133872......)

# ECM B1=5e4, sigma=545688705998635

n=98380L: c19647(4645518873......) = 6518373658431372926187361 * c19622(7126806649......)

# ECM B1=5e4, sigma=8240722051544929

n=98580L: c12429(1124150917......) = 427610792962607164681 * x12408(2628911468......)

# ECM B1=5e4, sigma=4184697410798388

n=98580L: x12408(2628911468......) = 329449490077543179583695121 * c12381(7979710237......)

# ECM B1=5e4, sigma=4564973687396067

n=98614: c49267(7750170826......) = 1490217132180109971494687 * c49243(5200699051......)

# ECM B1=5e4, sigma=8991409454561355

n=98792: c48248(4635205718......) = 299100515068450389601 * c48228(1549715057......)

# ECM B1=5e4, sigma=3397419811083051

n=98860M: c19757(2006636986......) = 39293054562491923209171521 * c19731(5106849058......)

# ECM B1=5e4, sigma=3988675600343533

n=98904: c30306(5152319142......) = 9950938442561798137 * c30287(5177721851......)

# ECM B1=5e4, sigma=5199766198898944

n=98918: c49453(4595151104......) = 7601636479339083152296903 * c49428(6044949817......)

# ECM B1=5e4, sigma=7429796733227227

n=99066: c28074(1056439519......) = 615696474586255497139 * c28053(1715844678......)

# ECM B1=5e4, sigma=574380560797920

n=99300M: c13182(3093106367......) = 7076326601529960601 * c13163(4371062193......)

# ECM B1=5e4, sigma=1989389522140394

n=99340L: c19847(7026450339......) = 251590744209663829350899341 * c19821(2792809553......)

# ECM B1=5e4, sigma=4977605564019317

n=99380M: c19839(2729479235......) = 1454235010712629615061 * c19818(1876917565......)

# ECM B1=5e4, sigma=5167035754805960

n=99400: c33588(8307348760......) = 384241607977617952801 * c33568(2162011762......)

# ECM B1=5e4, sigma=8584917371351728

n=99474: c32453(1366148555......) = 6606972491326809281887 * c32431(2067737617......)

# ECM B1=5e4, sigma=4972093840936865

n=99500L: c19780(1320257898......) = 394862779376390909401001 * c19756(3343586601......)

# ECM B1=5e4, sigma=2529230791955095

n=99538: c49284(1695126560......) = 383692429624819909201 * c49263(4417930691......)

# ECM B1=5e4, sigma=5455169075975625

n=99540L: c11204(6232685197......) = 5246198665786813048021 * c11183(1188038348......)

# ECM B1=5e4, sigma=2365419100341091

n=99660L: c11964(3197941847......) = 9835037098060374895861 * c11942(3251580869......)

# ECM B1=5e4, sigma=5731693997036683

n=99700L: c19905(2637327927......) = 224019662603010581948934301 * c19879(1177275198......)

# ECM B1=5e4, sigma=7773249456347531

n=99776: c49856(9999999999......) = 76120204801108922057537 * c49834(1313711652......)

# ECM B1=5e4, sigma=6266793804460458

n=99792: c25909(5020812248......) = 20325565788092722081 * c25890(2470195565......)

# ECM B1=5e4, sigma=4197418194878722

September 23, 2023 2023 年 9 月 23 日 (Alfred Reich)

# via Kurt Beschorner

n=70140M: c7918(1326687420......) = 9380035635203991310141 * c7896(1414373539......)

# ECM B1=5e4, sigma=1236726429151020

n=70300L: c12946(7434834542......) = 72476945894728729301 * c12927(1025820617......)

# ECM B1=25e4, sigma=5150837565389569

n=70340L: c14058(1574459539......) = 225943226861884036741 * c14037(6968385648......)

# ECM B1=5e4, sigma=7503950170967659

n=70370: c27120(9091000000......) = 5711030348619510241 * c27102(1591831849......)

# ECM B1=5e4, sigma=4466799775380283

n=70380L: c8434(5184251643......) = 4010501834779565701 * c8416(1292669061......)

# ECM B1=5e4, sigma=2239813595219475

n=70380M: c8434(2176621815......) = 162222083631649018866781 * c8411(1341754320......)

# ECM B1=5e4, sigma=592228303651301

n=70398: c23461(1000999998......) = 2263853127696969583 * c23442(4421664933......)

# ECM B1=5e4, sigma=8243305852407042

n=70442: c35208(2990245735......) = 661349436662118797628157 * c35184(4521430834......)

# ECM B1=5e4, sigma=3468503696663223

n=70710: c18831(1948137700......) = 6607110206912483041 * c18812(2948547306......)

# ECM B1=5e4, sigma=4295089809690764

n=70868: c30328(5326135799......) = 33763731877044311689 * c30309(1577472484......)

# ECM B1=5e4, sigma=6743588481002868

n=70940M: c14184(3576409999......) = 208857745301208215885821 * c14161(1712366469......)

# ECM B1=5e4, sigma=6931835265146904

n=70980L: c7477(1575265908......) = 4431561777364066801 * c7458(3554651807......)

# ECM B1=5e4, sigma=7651559756233426

n=71020L: c13728(3541000000......) = 8540096083898430306781 * c13706(4146323372......)

# ECM B1=5e4, sigma=2655800475140756

n=71062: c35506(2600227415......) = 2675693390937825025744253 * c35481(9717957313......)

# ECM B1=5e4, sigma=7977444462811079

n=71180M: c14232(3576409999......) = 99760343677005640768021 * c14209(3585001682......)

# ECM B1=5e4, sigma=767938160980496

n=71340M: c8956(3581712633......) = 13941644375637845945761 * c8934(2569074735......)

# ECM B1=5e4, sigma=4406823918201820

n=71380M: c13777(2796099999......) = 88495814194364641081 * c13757(3159584467......)

# ECM B1=5e4, sigma=2167685385342840

n=71522: c32489(1625801422......) = 1002998315020925917 * c32471(1620941330......)

# ECM B1=5e4, sigma=4292905736240372

n=71540M: c12072(6039056977......) = 7055757276588959403074681 * c12047(8559048647......)

# ECM B1=25e4, sigma=5273869556680594

n=71740M: c13441(2796100027......) = 159235362616423652118841 * c13418(1755954193......)

# ECM B1=5e4, sigma=6086832156257455

n=71800: c28628(5659641611......) = 3405688020325520401 * c28610(1661820336......)

# ECM B1=5e4, sigma=6940352328342497

n=71808: c20461(9371876881......) = 362049081487325460097 * c20441(2588565297......)

# ECM B1=5e4, sigma=4601668090534991

n=71820L: c7749(5187091593......) = 31892985251877453481 * c7730(1626405164......)

# ECM B1=5e4, sigma=7083578424136834

n=71900M: c14339(8563293374......) = 3656274004212060901 * x14321(2342081956......)

# ECM B1=5e4, sigma=1014820142793591

n=71900M: x14321(2342081956......) = 50792102005696702501 * c14301(4611114453......)

# ECM B1=5e4, sigma=6352539658146069

n=71900L: c14341(1036618355......) = 1481921986449141362005901 * c14316(6995093973......)

# ECM B1=5e4, sigma=5664858652178734

n=72020L: c13234(3372273513......) = 852826981388663101861 * c13213(3954229389......)

# ECM B1=5e4, sigma=3194615085524038

n=72020M: c13211(2193277254......) = 284970029626155311911981 * c13187(7696519023......)

# ECM B1=5e4, sigma=3975645932196965

n=72036: c22171(1388192864......) = 3877158234635177509 * c22152(3580439023......)

# ECM B1=5e4, sigma=7470107027571080

n=72060L: c9555(1016554638......) = 304078967404899459627121 * c9531(3343061332......)

# ECM B1=25e4, sigma=6753499967907134

n=72100L: c12236(1373142953......) = 531457121718270163501 * c12215(2583732340......)

# ECM B1=5e4, sigma=6526304375286396

n=72180M: c9593(6004034738......) = 142685887427879184721 * c9573(4207868659......)

# ECM B1=5e4, sigma=4679125644624738

n=72220L: c13710(3099842704......) = 4192042652492561101 * x13691(7394587703......)

# ECM B1=5e4, sigma=3909097201077184

n=72220L: x13691(7394587703......) = 90153544830190031323454141 * c13665(8202215139......)

# ECM B1=5e4, sigma=2961320232782947

n=72260M: c14435(8747573445......) = 230653190572794919141 * c14415(3792522194......)

# ECM B1=5e4, sigma=8604819798745820

n=72300M: c9531(1947374984......) = 1301026213843108044001 * c9510(1496799191......)

# ECM B1=5e4, sigma=7676235406602721

n=72380M: c11027(2571748127......) = 352534516178839708513801 * c11003(7295025051......)

# ECM B1=5e4, sigma=5174260591369132

n=72500M: c14001(1000000000......) = 1775783279480425147501 * c13979(5631317805......)

# ECM B1=5e4, sigma=121294189016553

n=72730: c24884(8224832254......) = 1230156061480063411 * c24866(6686007176......)

# ECM B1=5e4, sigma=191995131118905

n=72738: c24176(1154851433......) = 6733963728623598211 * c24157(1714965331......)

# ECM B1=5e4, sigma=8848943894590561

n=72820M: c13186(9506616802......) = 192534737432571292342981 * c13163(4937611222......)

# ECM B1=5e4, sigma=4470572625819869

n=72860M: c14554(8467866648......) = 11771014293046414121 * c14535(7193829213......)

# ECM B1=5e4, sigma=8425332149218166

n=72940L: c12472(1293792802......) = 83667763272065944021 * c12452(1546345631......)

# ECM B1=5e4, sigma=1535657140001523

n=73100M: c13431(3188720845......) = 426289178440870187726501 * c13407(7480182483......)

# ECM B1=5e4, sigma=3276042925583265

n=73420L: c14681(2824060999......) = 2646596742649280302061 * c14660(1067053757......)

# ECM B1=5e4, sigma=8414649662457550

n=73540M: c14681(2589616632......) = 4126605129927481081 * c14662(6275416597......)

# ECM B1=5e4, sigma=7987009555523322

n=73580L: c13507(9482523571......) = 14270472286507172321 * c13488(6644856162......)

# ECM B1=5e4, sigma=2258861200004067

n=73740L: c9815(3014649898......) = 92798733663851878293460306201 * c9786(3248589479......)

# ECM B1=5e4, sigma=3216674849686324

n=73880: c29517(9929485587......) = 129998078157856146241 * c29497(7638178755......)

# ECM B1=5e4, sigma=2513379165811652

n=73980M: c9785(3483457392......) = 14475064066292163655081 * c9763(2406522953......)

# ECM B1=5e4, sigma=3349692616269250

n=74100M: c8619(2592584408......) = 25924894275438958801 * c8600(1000036637......)

# ECM B1=5e4, sigma=3109613465323901

n=74118: c22428(2377379660......) = 41191519193304326023 * c22408(5771527021......)

# ECM B1=5e4, sigma=5027956460995855

n=74180M: c14833(2824060999......) = 31996706584113597301 * c14813(8826098999......)

# ECM B1=5e4, sigma=224070956708337

n=74220M: c9848(8360584486......) = 2975761098252946324797961 * c9824(2809561725......)

# ECM B1=25e4, sigma=2333412345851197

n=74260M: c14318(9351461687......) = 3469822252932338769721 * c14297(2695083784......)

# ECM B1=5e4, sigma=4262953310014584

n=74340L: c8336(9089616136......) = 1303904052084461941 * c8318(6971077451......)

# ECM B1=5e4, sigma=6760921668158100

n=74342: c37099(5217798660......) = 1010616200199633333099541183 * c37072(5162987353......)

# ECM B1=5e4, sigma=1511179566982768

n=74420M: c14635(1119769417......) = 44256727909416958327741 * c14612(2530167660......)

# ECM B1=25e4, sigma=561924639846248

n=74428: c35527(1385995190......) = 1115211579872335190669 * c35506(1242809180......)

# ECM B1=5e4, sigma=2311781834188579

n=74500M: c14783(8265099543......) = 2303225637379445730915001 * c14759(3588488860......)

# ECM B1=5e4, sigma=7871228954069283

n=74540L: c14883(6757652538......) = 1020789012634214904179561261 * c14856(6620028678......)

# ECM B1=5e4, sigma=1300249101638783

n=74620L: c11520(3572838949......) = 21791125170181409000141 * c11498(1639584428......)

# ECM B1=5e4, sigma=575122317047160

n=74654: c36925(7040659293......) = 16684214423635695263 * c36906(4219952533......)

# ECM B1=5e4, sigma=1592772304348606

n=74820M: c9384(1420779292......) = 380775140899671226403521 * c9360(3731281640......)

# ECM B1=5e4, sigma=6100669431710033

n=74820L: c9396(3519996300......) = 3337287873931553281 * c9378(1054747577......)

# ECM B1=5e4, sigma=6059409665170131

n=75020L: c13173(7131534601......) = 1141779750393519123701 * c13152(6245980977......)

# ECM B1=5e4, sigma=191217990383305

n=75260M: c14542(8784318018......) = 150215244089187363106817081 * c14516(5847820620......)

# ECM B1=5e4, sigma=1550331311715762

n=75260L: c14530(3623277612......) = 39149640152877917041 * c14510(9254944869......)

# ECM B1=5e4, sigma=7412851523400182

n=75460M: c11761(1000000000......) = 2271648471963854643661 * c11739(4402089550......)

# ECM B1=5e4, sigma=3742843660311961

n=75540L: c10031(1102725929......) = 2677237203773345206118712541 * c10003(4118895134......)

# ECM B1=5e4, sigma=5625029122265718

n=75540M: c10034(2431894986......) = 9064269185956024441 * c10015(2682946563......)

# ECM B1=5e4, sigma=2322345621881590

n=75606: c25184(6060186695......) = 240204185709463844124379 * c25161(2522931346......)

# ECM B1=5e4, sigma=8364977289551775

n=75772: c35845(1193850238......) = 3177401337309346712249 * c35823(3757316471......)

# ECM B1=5e4, sigma=505395283196118

n=75860M: c15151(7507685754......) = 227284241642135799911761 * c15128(3303214380......)

# ECM B1=5e4, sigma=3865002908704066

n=75864: c24192(9999000100......) = 1312148557589159089 * c24174(7620326252......)

# ECM B1=5e4, sigma=6963094229302073

n=75870: c20137(4497864901......) = 184992069826427949091 * c20117(2431382548......)

# ECM B1=5e4, sigma=5087759055505805

n=75908: c32521(1009999999......) = 6409142457327637889 * c32502(1575873850......)

# ECM B1=5e4, sigma=3560161937186718

n=75980L: c14510(1894115492......) = 9499872014530135429570293221 * c14482(1993832643......)

# ECM B1=5e4, sigma=1270525608766982

n=76020M: c8628(8961270799......) = 7276606629029059035841 * x8607(1231517829......)

# ECM B1=5e4, sigma=1287511211990969

n=76020M: x8607(1231517829......) = 4923326064855030113370666781 * c8579(2501394002......)

# ECM B1=5e4, sigma=5181034385570466

n=76100M: c15190(5599898776......) = 4578709566469642465501 * x15169(1223029916......)

# ECM B1=5e4, sigma=8846261393230193

n=76100M: x15169(1223029916......) = 112573991120957624375101 * x15146(1086423163......)

# ECM B1=5e4, sigma=4259675157732606

n=76100M: x15146(1086423163......) = 909348313073254073785301 * c15122(1194727199......)

# ECM B1=5e4, sigma=8696046677196833

n=76110: c19489(1098890109......) = 10990268021199606121 * c19469(9998756243......)

# ECM B1=5e4, sigma=2590586524540458

n=76198: c36841(1099999999......) = 48274772643437606891 * c36821(2278622849......)

# ECM B1=5e4, sigma=2947374155191119

n=76380L: c9493(1413086353......) = 4176156621624615841 * c9474(3383700568......)

# ECM B1=5e4, sigma=1299669805764113

n=76398: c20325(2852070346......) = 1322024762872144213 * c20307(2157350169......)

# ECM B1=5e4, sigma=4764328021439801

n=76694: c37081(1099999999......) = 70438016376145745299663 * c37058(1561656697......)

# ECM B1=5e4, sigma=6300310806661369

n=76780L: c13856(6526429980......) = 374025050115232153354664641 * c13830(1744917881......)

# ECM B1=5e4, sigma=7904210045658461

n=76868: c34909(1910879460......) = 1887686321278006261 * c34891(1012286543......)

# ECM B1=5e4, sigma=6685564243491833

n=76940L: c15356(4805185582......) = 377654925648448613473621 * c15333(1272374661......)

# ECM B1=5e4, sigma=617365972043747

n=76954: c38017(1099999999......) = 1221301415999986385063 * c37995(9006785594......)

# ECM B1=5e4, sigma=6512665725097731

n=77014: c32989(2367003729......) = 1173279595059558925261093 * c32965(2017425121......)

# ECM B1=5e4, sigma=4805855025776907

n=77024: c36714(2648057378......) = 2650344534718207073 * c36695(9991370344......)

# ECM B1=5e4, sigma=3139847775093286

n=77026: c36469(1099999999......) = 1448020991393855183 * c36450(7596574956......)

# ECM B1=5e4, sigma=4062621553760329

n=77028: c21835(2596451689......) = 15786083354489392729 * c21816(1644772570......)

# ECM B1=5e4, sigma=7669651715795180

n=77034: c24912(9100000000......) = 6359710132446209244927409 * x24888(1430882824......)

# ECM B1=5e4, sigma=6240553723910750

n=77034: x24888(1430882824......) = 13097297045307517033801 * c24866(1092502384......)

# ECM B1=5e4, sigma=4514905052539403

n=77056: c32234(2260137634......) = 119642981149078874016769 * c32211(1889068303......)

# ECM B1=5e4, sigma=6035293779285176

n=77058: c25669(1000000000......) = 228608714634224015251 * c25648(4374286442......)

# ECM B1=5e4, sigma=606816717033326

n=77060M: c15408(3576409999......) = 320577669934701585583721 * c15385(1115614197......)

# ECM B1=5e4, sigma=8159648689946254

n=77066: c33585(7802535942......) = 477762673661950735477 * c33565(1633140547......)

# ECM B1=5e4, sigma=3951193091745394

n=77092: c38505(2217021626......) = 1670222140434513656381 * c38484(1327381294......)

# ECM B1=5e4, sigma=1744730376811094

n=77094: c25685(1583432805......) = 21489082435549715059 * c25665(7368545445......)

# ECM B1=5e4, sigma=4078576005008714

n=77104: c37441(1000000009......) = 16658998586972818421441 * c37418(6002761839......)

# ECM B1=5e4, sigma=2885635460448880

n=77106: c25189(9566245927......) = 585696732762400345171 * c25169(1633310447......)

# ECM B1=5e4, sigma=890063780980571

n=77118: c25689(3709801464......) = 292377758806209483049 * c25669(1268838464......)

# ECM B1=5e4, sigma=3963275010832555

n=77160: c20544(9999000100......) = 27177392644748726161 * c20525(3679160922......)

# ECM B1=5e4, sigma=8845819951238220

n=77180L: c14430(1462278897......) = 105824876668076261862851921 * c14404(1381791260......)

# ECM B1=5e4, sigma=2583829346831850

n=77254: c36230(1048290747......) = 4443080426621542939 * c36211(2359378285......)

# ECM B1=5e4, sigma=8517866110078933

n=77340L: c10299(2530073264......) = 41017899061710891798781 * c10276(6168217589......)

# ECM B1=5e4, sigma=2161148672154918

n=77404: c37579(1087367268......) = 55187800377956947840501 * c37556(1970303692......)

# ECM B1=5e4, sigma=5894130433481165

n=77496: c25825(1000099999......) = 19470578160775497121 * c25805(5136467914......)

# ECM B1=5e4, sigma=596076079278240

n=77500M: c14982(2456318562......) = 157228553783241647501 * c14962(1562259845......)

# ECM B1=5e4, sigma=4381771049299896

n=77620M: c15515(4607528889......) = 7793924430790528181 * c15496(5911693051......)

# ECM B1=5e4, sigma=486763898305188

n=77656: c36475(1839795582......) = 20741766374737857521 * c36455(8870004362......)

# ECM B1=5e4, sigma=6376008192426776

n=77802: c25933(1098901098......) = 39792464421034629571 * c25913(2761580904......)

# ECM B1=5e4, sigma=468645760082883

n=77860M: c14571(1675947747......) = 12706831089868724403181 * c14549(1318934465......)

# ECM B1=5e4, sigma=5241070548458946

n=77940M: c10348(2048794323......) = 266377802163174640621 * c10327(7691310263......)

# ECM B1=5e4, sigma=8206363458862935

n=77954: c38969(1730250587......) = 1889394444390740523848208997 * c38941(9157699136......)

# ECM B1=5e4, sigma=8611558114085309

n=77982: c25256(1177610061......) = 1922346039378970423 * c25237(6125900526......)

# ECM B1=5e4, sigma=5262652386386730

n=78100M: c13992(1394422392......) = 162082955017436679601 * c13971(8603140241......)

# ECM B1=5e4, sigma=4050914022380638

n=78180L: c10412(1618007583......) = 5437251432800632595701 * c10390(2975782163......)

# ECM B1=5e4, sigma=2365764675950136

n=78220L: c15641(2824060999......) = 43461907614316069043461 * c15618(6497784277......)

# ECM B1=5e4, sigma=4072643427859078

n=78220M: c15612(1027484656......) = 948819155004747428981 * c15591(1082908846......)

# ECM B1=5e4, sigma=2973581532519295

n=78300M: c10080(9999999999......) = 177020169256385790568804801 * c10054(5649073798......)

# ECM B1=5e4, sigma=1356672032128515

n=78322: c39147(8696986327......) = 177863657692941246937811801 * c39121(4889692723......)

# ECM B1=5e4, sigma=5555338610596495

n=78340L: c15616(3990617989......) = 15864969922821788749081 * c15594(2515364358......)

# ECM B1=5e4, sigma=7335307072909087

n=78460M: c15681(5426497968......) = 54411582278923632221 * c15661(9973056729......)

# ECM B1=5e4, sigma=8767749401833296

n=78498: c22168(4886527812......) = 28346710579278703921 * c22149(1723842982......)

# ECM B1=5e4, sigma=2871305823964353

n=78500M: c15573(1453065630......) = 19900625495381901189001 * c15550(7301607836......)

# ECM B1=5e4, sigma=7837326347552909

n=78536: c39243(1767674275......) = 84512898736069134442217 * c39220(2091602940......)

# ECM B1=5e4, sigma=7830613210372468

n=78696: c26192(6880302782......) = 28104552299561439817 * c26173(2448109725......)

# ECM B1=5e4, sigma=5030146733289155

n=78748: c39341(6869566484......) = 360933525948089818034667661 * c39315(1903277471......)

# ECM B1=5e4, sigma=6405436442011678

n=78762: c26246(1423691001......) = 4258198049024472127 * c26227(3343411896......)

# ECM B1=5e4, sigma=4587905211477647

n=79140M: c10525(1388948104......) = 6207502619375677743040441 * c10500(2237531241......)

# ECM B1=5e4, sigma=8894117440243722

n=79260L: c10542(7307963884......) = 10003293553356945182221 * c10520(7305557760......)

# ECM B1=5e4, sigma=3640669318881238

n=79272: c26348(1261463550......) = 1132968187284358393 * c26330(1113414802......)

# ECM B1=5e4, sigma=2835604141408105

n=79390: c29818(4089664005......) = 159003945639290460451 * c29798(2572051900......)

# ECM B1=5e4, sigma=6630346464319341

n=79402: c37290(1908202848......) = 2029300021455629999946209 * c37265(9403256436......)

# ECM B1=5e4, sigma=2896987667898487

n=79510: c31756(1498119319......) = 6377195176849695721 * c31737(2349182168......)

# ECM B1=5e4, sigma=5388668698863831

n=79534: c28513(1099999889......) = 5794520851075989943 * c28494(1898344864......)

# ECM B1=5e4, sigma=3194805504925718

n=79570: c31097(1179067088......) = 36495400435754863783469171 * c31071(3230727912......)

# ECM B1=5e4, sigma=6004980759940888

n=79620M: c10602(4468427483......) = 2065938888427668454261 * c10581(2162903998......)

# ECM B1=5e4, sigma=1362421407696477

n=79740M: c10595(1332132564......) = 3289405918068657218341 * c10573(4049766423......)

# ECM B1=5e4, sigma=6279200215548245

n=79780L: c15933(1597995476......) = 3401515460547824207437621 * c15908(4697892734......)

# ECM B1=5e4, sigma=2305044552886915

n=79860L: c9661(5993752715......) = 22849618045497787267021 * c9639(2623130375......)

# ECM B1=5e4, sigma=8299707327874611

n=79980M: c10066(3735355965......) = 3108640464804949298941 * x10045(1201604369......)

# ECM B1=5e4, sigma=3357071007571439

n=79980M: x10045(1201604369......) = 1560810358025161259068441 * c10020(7698592998......)

# ECM B1=5e4, sigma=8367233234179778

# 210868 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210868 個の Φ_n(10) の素因数が見つかりました。

September 22, 2023 2023 年 9 月 22 日 (Alfred Reich)

# via Kurt Beschorner

n=60060M: c5742(4135467860......) = 1478757086664978121 * c5724(2796583629......)

# ECM B1=5e4, sigma=3902627884361588

n=60100L: c11991(5921832183......) = 31844328810762174791101 * c11969(1859619092......)

# ECM B1=5e4, sigma=7888168850706702

n=60180M: c7414(1885657888......) = 6627936845870596681 * c7395(2845014869......)

# ECM B1=5e4, sigma=777721016835672

n=60220L: c12002(3490482695......) = 59756334270203094135281 * x11979(5841192801......)

# ECM B1=5e4, sigma=3221533996426550

n=60220L: x11979(5841192801......) = 9832210003710137401 * c11960(5940874736......)

# ECM B1=5e4, sigma=8982133764913385

n=60300L: c7920(9999999000......) = 322780322590044763854495090601 * c7891(3098081977......)

# ECM B1=5e4, sigma=4377909668772052

n=60460L: c12066(1694494355......) = 231987411151275828481 * c12045(7304251325......)

# ECM B1=5e4, sigma=343691236656842

n=60500M: c11001(1000000000......) = 1048143604756665306466501 * c10976(9540677398......)

# ECM B1=25e4, sigma=8573417540901679

n=60660M: c8050(2103484763......) = 6405310907469863281 * x8031(3283969807......)

# ECM B1=25e4, sigma=4189300406404183

n=60660M: x8031(3283969807......) = 2601017384117329026541 * c8010(1262571264......)

# ECM B1=5e4, sigma=5472218983635438

n=60740M: c12130(9381340506......) = 1266067167949087723861 * c12109(7409828439......)

# ECM B1=5e4, sigma=1702143784009485

n=60780M: c8070(2231985837......) = 9420344606163990986521 * c8048(2369325041......)

# ECM B1=25e4, sigma=2728703827414466

n=61220L: c12213(1544696174......) = 87595521645855305757022721 * x12187(1763441949......)

# ECM B1=5e4, sigma=8980445625577101

n=61220L: x12187(1763441949......) = 47108986554244985341 * c12167(3743323892......)

# ECM B1=25e4, sigma=5172685618608741

n=61340L: c12258(1743919154......) = 2514973126068752881541 * c12236(6934146280......)

# ECM B1=5e4, sigma=8127054906673093

n=61860L: c8226(1519166408......) = 3842582705050438230781 * c8204(3953503478......)

# ECM B1=5e4, sigma=421072510306629

n=61900M: c12330(4997438975......) = 567418158568941340601 * c12309(8807330008......)

# ECM B1=5e4, sigma=4775069013986797

n=61980L: c8214(6195860746......) = 143294726408941466540641 * c8191(4323858177......)

# ECM B1=5e4, sigma=7975031773826775

n=61980M: c8232(1049185847......) = 246102654400268637121 * c8211(4263204107......)

# ECM B1=25e4, sigma=3859739927382978

n=62060M: c11841(4017297070......) = 450503294112416169979441 * c11817(8917353375......)

# ECM B1=5e4, sigma=7435869999791707

n=62380L: c12413(3051919305......) = 376705169646307044341 * x12392(8101612483......)

# ECM B1=5e4, sigma=5958587255492415

n=62380L: x12392(8101612483......) = 6432233679297790752437250241 * c12365(1259533295......)

# ECM B1=5e4, sigma=6577076347873483

n=62540M: c12058(2830985904......) = 1830433311401280181 * c12040(1546620620......)

# ECM B1=5e4, sigma=2093553652783815

n=62620M: c11994(5654733863......) = 4070313346600946254301 * c11973(1389262541......)

# ECM B1=5e4, sigma=8986407499959188

n=62780L: c12097(2796099999......) = 1983390172802756654821 * c12076(1409757917......)

# ECM B1=5e4, sigma=6036600576652295

n=62820M: c8346(1735494253......) = 380257115565461071501 * x8325(4564002045......)

# ECM B1=5e4, sigma=5583795065739869

n=62820M: x8325(4564002045......) = 107384671272219168781 * x8305(4250142959......)

# ECM B1=25e4, sigma=4633417061532004

n=62820M: x8305(4250142959......) = 188782112725187963221 * c8285(2251348338......)

# ECM B1=5e4, sigma=7964556116376519

n=62860M: c10732(3099925346......) = 1232225755686611141 * c10714(2515712183......)

# ECM B1=5e4, sigma=4090961424891294

n=63060L: c8394(1269602945......) = 26120388373682377981 * c8374(4860582189......)

# ECM B1=5e4, sigma=1006192605063023

n=63180M: c7767(3835367257......) = 4149016193614392361 * c7748(9244040222......)

# ECM B1=5e4, sigma=3130803514567317

n=63220M: c12090(6409866990......) = 25927336077814189045501 * c12068(2472242798......)

# ECM B1=5e4, sigma=6525917254110915

n=63220L: c12067(1848642042......) = 3751817613293825261 * c12048(4927323854......)

# ECM B1=5e4, sigma=3041229608945292

n=63260L: c12649(2824060999......) = 24915127027128983761 * c12630(1133472446......)

# ECM B1=5e4, sigma=780475722957925

n=63580L: c10869(1048719740......) = 404157511220784940305941 * c10845(2594829272......)

# ECM B1=5e4, sigma=1147563623184816

n=63740L: c12740(2215279923......) = 35337447115103182961 * c12720(6268930284......)

# ECM B1=25e4, sigma=6994517675326069

n=63780L: c8456(3357933338......) = 218947594006814252923261 * c8433(1533669896......)

# ECM B1=5e4, sigma=6233877680572329

n=63980M: c10939(1151221741......) = 39105346918619470861 * c10919(2943898552......)

# ECM B1=5e4, sigma=4531233459763517

n=64060M: c12763(5803529417......) = 541511752285590987061081 * c12740(1071727325......)

# ECM B1=5e4, sigma=2784664858134819

n=64140L: c8507(5343706859......) = 3601285618250642820721 * c8486(1483833115......)

# ECM B1=5e4, sigma=711198565035022

n=64340M: c12856(7379417056......) = 2276450330056678896941 * c12835(3241633238......)

# ECM B1=5e4, sigma=3560758587354939

n=64620M: c8562(1489000210......) = 78058252074550285717381 * c8539(1907550029......)

# ECM B1=5e4, sigma=858307470056562

n=64660L: c12481(2796099999......) = 58185225665129283303641 * c12458(4805515434......)

# ECM B1=5e4, sigma=4087402124570734

n=64740M: c7863(1951875004......) = 5598872097035419021 * c7844(3486193238......)

# ECM B1=5e4, sigma=6677541715406198

n=64780L: c12480(3541000000......) = 2410124554386555491081 * c12459(1469218673......)

# ECM B1=5e4, sigma=5685204212507520

n=64860M: c8096(3952674099......) = 19204154315948682672121 * c8074(2058239084......)

# ECM B1=5e4, sigma=2770875441715610

n=64900M: c11588(9049008054......) = 1141727237284567882301 * c11567(7925717946......)

# ECM B1=5e4, sigma=3473044628934584

n=65260L: c11953(4066127667......) = 108402299693943059463056581 * x11927(3750960707......)

# ECM B1=5e4, sigma=8905105829487506

n=65260L: x11927(3750960707......) = 7255672908403686965381 * c11905(5169693776......)

# ECM B1=5e4, sigma=6852634388401446

n=65260M: c11979(3590959972......) = 87431673509123158805936581 * c11953(4107161431......)

# ECM B1=5e4, sigma=2338618801554459

n=65380M: c11145(4175954989......) = 1623100089401283329761 * c11124(2572826541......)

# ECM B1=5e4, sigma=776847289527870

n=65500L: c12986(5944570118......) = 2896169120731236982501 * c12965(2052563186......)

# ECM B1=5e4, sigma=4502149485651342

n=65540L: c12529(7656313144......) = 50279271079639063000815652861 * c12501(1522757386......)

# ECM B1=25e4, sigma=1125093584255859

n=65780M: c10539(5555115500......) = 25824358554838726741 * c10520(2151114610......)

# ECM B1=5e4, sigma=2261612144201853

n=65780L: c10528(1284166307......) = 167134229761026668141 * c10507(7683442879......)

# ECM B1=5e4, sigma=757456820532508

n=66020L: c13200(3576409999......) = 153805419086997624641 * c13180(2325282178......)

# ECM B1=5e4, sigma=3009470189769558

n=66140M: c13198(2720066711......) = 17827889380726948887173141 * c13173(1525736812......)

# ECM B1=5e4, sigma=8848204372765489

n=66180M: c8798(2720285741......) = 21810817832860211044146781 * c8773(1247218587......)

# ECM B1=5e4, sigma=7224890048963912

n=66220M: c10075(1348831984......) = 54616402986543776649041 * c10052(2469646316......)

# ECM B1=25e4, sigma=8387230897715605

n=66300M: c7658(6774749249......) = 570643563685991055532860901 * c7632(1187212067......)

# ECM B1=5e4, sigma=1171031151305680

n=66420L: c8640(9999999999......) = 5256359679158368992721 * c8619(1902457329......)

# ECM B1=5e4, sigma=1243026312033089

n=66460M: c13281(5076694581......) = 5841608932578800735741 * c13259(8690575901......)

# ECM B1=5e4, sigma=8613301534022792

n=66540L: c8860(3802066150......) = 4646431091972385822040981 * c8835(8182766676......)

# ECM B1=5e4, sigma=3139941012733084

n=66540M: c8853(1227638068......) = 193222254777256269781 * c8832(6353502448......)

# ECM B1=5e4, sigma=6503831724681376

n=66660L: c7981(2517319755......) = 65916203646928147921 * c7961(3818969564......)

# ECM B1=5e4, sigma=8240363204361633

n=66740M: c12880(3540999999......) = 31067575046439795914134361 * c12855(1139773540......)

# ECM B1=5e4, sigma=2051145616260344

n=67220L: c13436(1400400176......) = 11777240813536180883401 * c13414(1189073229......)

# ECM B1=5e4, sigma=3516761396460904

n=67220M: c13420(7887952968......) = 18008105041919811009701 * c13398(4380223765......)

# ECM B1=5e4, sigma=3516761396460904

n=67340L: c10348(3388956346......) = 89489973619411611680430361 * c10322(3786967644......)

# ECM B1=5e4, sigma=5555652020841561

n=67380L: c8919(4410717895......) = 2014695162647059159717441 * c8895(2189273085......)

# ECM B1=25e4, sigma=3373125815882867

n=67420L: c13468(6052293223......) = 2000270995590694920001 * c13447(3025736631......)

# ECM B1=5e4, sigma=6541859239792203

n=67500M: c9000(9999999999......) = 2216432717080540562070001 * c8976(4511754371......)

# ECM B1=5e4, sigma=6015441693505511

n=67940L: c13083(6907371254......) = 72722096897371157619624721 * c13057(9498311447......)

# ECM B1=5e4, sigma=3802350248690399

n=68020M: c12761(1651701030......) = 1282488673853169565501 * c12740(1287887421......)

# ECM B1=5e4, sigma=8776281396255455

n=68380L: c12572(1363012369......) = 71892489954481306670041 * c12549(1895903688......)

# ECM B1=5e4, sigma=7737291057424258

n=68540M: c13013(4939127841......) = 1165060487905092299260121 * c12989(4239374601......)

# ECM B1=5e4, sigma=5499353258380740

n=68700M: c9120(9900498997......) = 1410914835921901801 * c9102(7017077675......)

# ECM B1=5e4, sigma=4790085878414837

n=68740L: c11743(3791467134......) = 7977698088358661890501 * c11721(4752582879......)

# ECM B1=5e4, sigma=5324033015897597

n=69060L: c9161(1256431321......) = 209378684527060046101 * c9140(6000760412......)

# ECM B1=5e4, sigma=1333069785350186

n=69460M: c13150(1455945559......) = 3122938895761159806481 * c13128(4662100693......)

# ECM B1=5e4, sigma=865969979380066

n=69540M: c8632(5167299454......) = 7038799918576395797461 * c8610(7341165417......)

# ECM B1=5e4, sigma=1295773804942099

n=69740L: c12612(2551535912......) = 36390356708058858781 * c12592(7011571590......)

# ECM B1=5e4, sigma=8116434887740522

n=69900L: c9281(1010050099......) = 3439143348463052088601 * c9259(2936923522......)

# ECM B1=5e4, sigma=389896343960413

n=69980M: c13993(2824060999......) = 132419374018637483101 * c13973(2132664514......)

# ECM B1=5e4, sigma=3218656104438189

September 19, 2023 2023 年 9 月 19 日 (Alfred Reich)

# via Kurt Beschorner

n=50060L: c10008(3576409999......) = 41966088580078084049711561 * c9982(8522142807......)

# ECM B1=5e4, sigma=515358635268379

n=50100M: c6606(2802824766......) = 148704811677279775719601 * c6583(1884824529......)

# ECM B1=25e4, sigma=6528234841202672

n=50100L: c6636(2016027823......) = 165008072990019252901 * c6616(1221775266......)

# ECM B1=5e4, sigma=1903188308332920

n=50140M: c9483(8643467254......) = 57680918263059988769381 * c9461(1498496819......)

# ECM B1=5e4, sigma=282553605099922

n=50260M: c8572(7987353507......) = 1191791668228790054222441 * c8548(6701971259......)

# ECM B1=5e4, sigma=5667017353773593

n=50300M: c10026(2387414939......) = 48494132889237270154743527801 * c9997(4923100583......)

# ECM B1=5e4, sigma=8857481439977154

n=50300L: c10028(1125185775......) = 289398381513603324901 * x10007(3888016821......)

# ECM B1=5e4, sigma=187775286056360

n=50300L: x10007(3888016821......) = 36985859178940798801 * c9988(1051217115......)

# ECM B1=5e4, sigma=627678849573799

n=50500L: c9984(4196624153......) = 318934244749321853271001 * x9961(1315827391......)

# ECM B1=5e4, sigma=5978019514871878

n=50500L: x9961(1315827391......) = 1016133992705683420501 * c9940(1294934921......)

# ECM B1=5e4, sigma=2083828523929387

n=50660M: c9441(1571377613......) = 101697705120201631601 * x9421(1545145597......)

# ECM B1=5e4, sigma=8184821769311844

n=50660M: x9421(1545145597......) = 81419684126568443261 * c9401(1897754350......)

# ECM B1=5e4, sigma=6169489609302124

n=50780L: c10138(5098461196......) = 4017781850335255081 * c10120(1268974122......)

# ECM B1=5e4, sigma=6194701816783460

n=50860M: c10169(2824060999......) = 111608911059020574215441801 * c10143(2530318567......)

# ECM B1=5e4, sigma=3512846470793506

n=50940L: c6751(4183746337......) = 3563316639965234446381 * c6730(1174115791......)

# ECM B1=5e4, sigma=8443208585831920

n=51060L: c6308(3107169652......) = 625929320189319398761153081 * x6281(4964090277......)

# ECM B1=5e4, sigma=6178225327413069

n=51060L: x6281(4964090277......) = 18635333916294577439341 * c6259(2663805381......)

# ECM B1=5e4, sigma=3181604053971791

n=51420M: c6826(4666939810......) = 22072019486629275689041 * x6804(2114414502......)

# ECM B1=5e4, sigma=2470110098621416

n=51420M: x6804(2114414502......) = 28368553482539017861 * c6784(7453374399......)

# ECM B1=5e4, sigma=7545744829121137

n=51780M: c6888(5979445913......) = 15720283130864569588945981 * c6863(3803650267......)

# ECM B1=5e4, sigma=3521931834138892

n=51780L: c6856(1419446577......) = 64524874631818665976921 * c6833(2199843991......)

# ECM B1=5e4, sigma=7537568858670812

n=51860M: c10333(1430091298......) = 5474515094913404677507241 * c10308(2612270262......)

# ECM B1=5e4, sigma=5791503677709168

n=51940M: c8736(9990004998......) = 3287905572552322189218754938481 * c8706(3038409947......)

# ECM B1=25e4, sigma=1196894314808111

n=51980L: c9856(3540999999......) = 954266347294511303021 * c9835(3710704050......)

# ECM B1=5e4, sigma=196961339203625

n=52180M: c10422(3283739945......) = 669977184605146472708581 * c10398(4901271297......)

# ECM B1=5e4, sigma=5745917154440441

n=52260M: c6314(1588704601......) = 767593882690125451580881 * c6290(2069720248......)

# ECM B1=5e4, sigma=1871210680854203

n=52340M: c10440(6088697589......) = 462638774399539519735061 * c10417(1316080260......)

# ECM B1=5e4, sigma=5091448490907100

n=52340L: c10442(2061301429......) = 1503972507828165048970709461 * c10415(1370571216......)

# ECM B1=5e4, sigma=8974312109237779

n=52500L: c5957(5669947045......) = 45754228161232824397501 * c5935(1239218160......)

# ECM B1=5e4, sigma=4480870995078485

n=52540L: c10063(6199863113......) = 1385683955217533261 * c10045(4474225951......)

# ECM B1=5e4, sigma=5976693004496742

n=52700M: c9569(7234899870......) = 54027290206975467901 * c9550(1339119515......)

# ECM B1=5e4, sigma=3697329237259877

n=52740L: c6989(1245720415......) = 5322316716408886830001 * c6967(2340560477......)

# ECM B1=5e4, sigma=1970040041152415

n=52980L: c7035(7377185929......) = 1436023660872058081 * c7017(5137231461......)

# ECM B1=5e4, sigma=7316588419961540

n=53300L: c9600(9900498006......) = 36927475828824701129101 * c9578(2681065462......)

# ECM B1=5e4, sigma=2453087732972197

n=53340M: c6036(7692044184......) = 770689510797735068821 * c6015(9980730342......)

# ECM B1=5e4, sigma=2594420779267193

n=53420L: c10657(1064731297......) = 58249278069074735316281 * c10634(1827887542......)

# ECM B1=5e4, sigma=7566965276833775

n=53660L: c10729(2824060999......) = 11021744514584691324161 * c10707(2562263166......)

# ECM B1=5e4, sigma=7882874527481077

n=53780L: c10739(2415342122......) = 1423095817915780534081 * c10718(1697244902......)

# ECM B1=5e4, sigma=408565360296483

n=53820L: c6298(1658985808......) = 173541361804051543381 * c6277(9559598881......)

# ECM B1=5e4, sigma=7539459440705539

n=53860L: c10702(2978289855......) = 2654408868069489941 * c10684(1122016239......)

# ECM B1=5e4, sigma=8945627629792491

n=53900L: c8354(5473373270......) = 19685200761498603101 * c8335(2780450825......)

# ECM B1=5e4, sigma=3560865476922364

n=54260L: c10848(3576409999......) = 820220353653290549675921 * c10824(4360303891......)

# ECM B1=5e4, sigma=7764859083067418

n=54420L: c7230(1406191970......) = 39074421301673904394483021 * c7204(3598753159......)

# ECM B1=5e4, sigma=7069957081087238

n=54540L: c7187(5611847730......) = 775451983145832926494741 * c7163(7236873271......)

# ECM B1=5e4, sigma=3240901203312663

n=54580L: c10886(4205521182......) = 249400598006330640781 * c10866(1686251442......)

# ECM B1=5e4, sigma=1871974314476889

n=54660L: c7275(3579863545......) = 103320555168265041408181 * c7252(3464812534......)

# ECM B1=5e4, sigma=2454431276862698

n=54820M: c10932(5907962090......) = 104845700593843646184823841 * x10906(5634911166......)

# ECM B1=5e4, sigma=5079505692521358

n=54820M: x10906(5634911166......) = 36259178101191747101 * c10887(1554064780......)

# ECM B1=5e4, sigma=4681552398669486

n=54860M: c10037(2139288759......) = 177412796571946489061 * c10017(1205825509......)

# ECM B1=25e4, sigma=6291259925311822

n=55100L: c10080(9900498006......) = 13142611895680958628799662132601 * c10049(7533128183......)

# ECM B1=5e4, sigma=4208043981899997

n=55260L: c7328(7274639538......) = 14074058784724657653241 * c7306(5168828445......)

# ECM B1=25e4, sigma=3623704990697365

n=55300M: c9341(9612533441......) = 920738115088199650901 * c9321(1044002988......)

# ECM B1=5e4, sigma=7207127139689979

n=55380L: c6697(6729097872......) = 336446064918201477366243481 * x6671(2000052482......)

# ECM B1=5e4, sigma=7859886041719586

n=55380L: x6671(2000052482......) = 32016493602618097256581 * c6648(6246944174......)

# ECM B1=25e4, sigma=1002128672007697

n=55500M: c7184(2884865813......) = 74656542344787848567919424501 * c7155(3864183530......)

# ECM B1=5e4, sigma=39337279851313

n=55540M: c11092(5285821119......) = 428408492683948173038818481 * c11066(1233827342......)

# ECM B1=5e4, sigma=4030018867193028

n=55620M: c7333(7571484380......) = 597674258726014854361 * c7313(1266824573......)

# ECM B1=25e4, sigma=85044936951031

n=55740M: c7355(4580785264......) = 20484817139048779261 * c7336(2236185577......)

# ECM B1=5e4, sigma=6139072043761738

n=55820L: c11138(1310417045......) = 123211441025255661674012941 * x11112(1063551432......)

# ECM B1=5e4, sigma=1417810919334763

n=55820L: x11112(1063551432......) = 284811522033652888201 * c11091(3734228955......)

# ECM B1=5e4, sigma=3396813790283999

n=55940L: c11174(7928135478......) = 346514218218672833041 * c11154(2287968302......)

# ECM B1=5e4, sigma=3565733297731348

n=56060M: c11208(3576409999......) = 1063331251962239262649201 * c11184(3363401567......)

# ECM B1=5e4, sigma=5613749298044885

n=56060L: c11190(1938569640......) = 1799535365305572257652281 * c11166(1077261207......)

# ECM B1=25e4, sigma=3094075868229875

n=56220L: c7470(3321340868......) = 92825794297221775050841 * c7447(3578036572......)

# ECM B1=5e4, sigma=1967481538999082

n=56260M: c10748(1656643816......) = 4252496944186304881 * c10729(3895696665......)

# ECM B1=5e4, sigma=5582985635935406

n=56340L: c7459(7308161619......) = 875375689774606055461 * c7438(8348600155......)

# ECM B1=25e4, sigma=129963363972525

n=56380L: c11259(2671209327......) = 134439469556087710181 * c11239(1986923435......)

# ECM B1=5e4, sigma=1822878602288969

n=56460M: c7520(3913542626......) = 13906184144991975764941381 * c7495(2814246227......)

# ECM B1=5e4, sigma=445170147074369

n=56500M: c11186(6432434524......) = 3045108420189184001 * c11168(2112382758......)

# ECM B1=25e4, sigma=2593498625964764

n=56580L: c7027(1520565920......) = 40134919223429169495661 * c7004(3788635807......)

# ECM B1=5e4, sigma=4151736240118182

n=56580M: c7025(7887594095......) = 8910100982451559710901 * c7003(8852418295......)

# ECM B1=5e4, sigma=2950669364840979

n=56620L: c10656(3540999996......) = 9471105007213739321 * c10637(3738740087......)

# ECM B1=5e4, sigma=6869307444518290

n=56900M: c11360(9900498007......) = 1200540658650759823600201 * x11336(8246699465......)

# ECM B1=5e4, sigma=4387026855585108

n=56900M: x11336(8246699465......) = 317349755000608864601 * c11316(2598615355......)

# ECM B1=5e4, sigma=719734589572604

n=57060L: c7571(2527321648......) = 5787697414628319661 * c7552(4366713508......)

# ECM B1=5e4, sigma=2719128595136870

n=57140M: c11425(2824060999......) = 35129981323690699261 * c11405(8038891264......)

# ECM B1=5e4, sigma=8301575521729308

n=57300L: c7569(1324890152......) = 199347295497995126401 * c7548(6646140593......)

# ECM B1=5e4, sigma=2667650119919975

n=57340M: c11041(2796100000......) = 166931444004513055648481 * c11018(1674998989......)

# ECM B1=5e4, sigma=7810715428595886

n=57460L: c9966(2603226881......) = 13668353816452707139561 * c9944(1904565038......)

# ECM B1=5e4, sigma=3272611818711868

n=57460M: c9943(7237978999......) = 2371866743270582221 * c9925(3051595971......)

# ECM B1=5e4, sigma=1668373207030593

n=57580L: c11502(8591906392......) = 15351633241682568461 * c11483(5596737661......)

# ECM B1=5e4, sigma=7732817744978708

n=57700M: c11500(1389191095......) = 6730517020209570456301 * c11478(2064018397......)

# ECM B1=5e4, sigma=6515531731697308

n=58100M: c9821(5047617999......) = 13832688567748256501 * c9802(3649050561......)

# ECM B1=25e4, sigma=6998007318952281

n=58300L: c10389(1466483623......) = 5870180221884795432001 * c10367(2498191823......)

# ECM B1=5e4, sigma=7693401093329290

n=58500L: c7184(2990992911......) = 1813346148116392636501 * c7163(1649432963......)

# ECM B1=5e4, sigma=8733487642027953

n=58500M: c7194(5341877488......) = 7900269931909010565001 * c7172(6761639202......)

# ECM B1=25e4, sigma=1862448019073132

n=58580L: c11185(6215910409......) = 574715323843038711161 * c11165(1081563367......)

# ECM B1=5e4, sigma=6812300177880555

n=58580M: c11172(4368015782......) = 13607735194378996861658261 * x11147(3209950605......)

# ECM B1=5e4, sigma=6812300177880555

n=58580M: x11147(3209950605......) = 1507983999146497785024701 * x11123(2128637045......)

# ECM B1=5e4, sigma=4843417348566061

n=58580M: x11123(2128637045......) = 357832141114427516561 * c11102(5948702761......)

# ECM B1=5e4, sigma=866793401504880

n=58620M: c7796(6681090574......) = 48036462445273251541 * x7777(1390837341......)

# ECM B1=25e4, sigma=5017022930127686

n=58620M: x7777(1390837341......) = 1240443817062742866121 * c7756(1121241706......)

# ECM B1=25e4, sigma=6116387806763131

n=58740M: c7026(2427860639......) = 108781496098012202045461 * c7003(2231869137......)

# ECM B1=5e4, sigma=7804014640419936

n=58820L: c10988(2206834493......) = 526996809816847988581 * x10967(4187567083......)

# ECM B1=5e4, sigma=2500621471930631

n=58820L: x10967(4187567083......) = 33349843187123368421 * c10948(1255648207......)

# ECM B1=5e4, sigma=44690117200669

n=58860M: c7766(3607617909......) = 143872668468728609401 * c7746(2507507470......)

# ECM B1=5e4, sigma=2865163243194627

n=58980L: c7848(1049875374......) = 98100834148885611781 * c7828(1070200251......)

# ECM B1=5e4, sigma=457862767903029

n=59020L: c10812(4355321826......) = 4726480134273153700353521 * c10787(9214725764......)

# ECM B1=5e4, sigma=5051640533545387

n=59020M: c10816(8502315684......) = 8181307186659019219561 * c10795(1039236822......)

# ECM B1=5e4, sigma=5682874325569696

n=59140L: c11776(9507404098......) = 281521475876012060441 * c11756(3377150559......)

# ECM B1=5e4, sigma=910564026028056

n=59300L: c11831(2704750295......) = 26262108917117831831269901 * c11806(1029905977......)

# ECM B1=5e4, sigma=6063544725589233

n=59380M: c11857(6699949797......) = 13386939582067712041 * c11838(5004840543......)

# ECM B1=5e4, sigma=5230937469249419

n=59500L: c9594(2626049730......) = 44322275030383772947001 * x9571(5924898324......)

# ECM B1=5e4, sigma=3590720721896780

n=59500M: c9593(2773386505......) = 1105171786648924818715501 * c9569(2509461912......)

# ECM B1=5e4, sigma=6106518699060041

n=59500L: x9571(5924898324......) = 1229331601745575237001 * c9550(4819609547......)

# ECM B1=5e4, sigma=114645712150604

n=59580L: c7877(3376071065......) = 6749419142980813592701 * c7855(5002017201......)

# ECM B1=5e4, sigma=7139441613114049

n=59660L: c11220(5043424561......) = 21286421331777281941 * x11201(2369315387......)

# ECM B1=25e4, sigma=6007950916939683

n=59660L: x11201(2369315387......) = 487332877504843228361 * c11180(4861800828......)

# ECM B1=5e4, sigma=1956103936391147

n=59740M: c11366(1538860962......) = 974332487582116830922117081 * c11339(1579400237......)

# ECM B1=5e4, sigma=6441782237564718

n=59860M: c11492(1574815735......) = 135390744939972112378165141 * c11466(1163163506......)

# ECM B1=5e4, sigma=3401924506376576

September 18, 2023 2023 年 9 月 18 日 (Alfred Reich)

# via Kurt Beschorner

n=44060M: c8771(9940990845......) = 6209894446158231169808141 * x8747(1600830888......)

# ECM B1=5e4, sigma=6020057208206442

n=44060M: x8747(1600830888......) = 6880556343724166778928061 * c8722(2326600944......)

# ECM B1=5e4, sigma=1057535508242285

n=44220L: c5251(1256244826......) = 1032271243085893376738701 * c5227(1216971638......)

# ECM B1=5e4, sigma=7130684871155648

n=44420M: c8859(1818425538......) = 36719122403771999280101 * c8836(4952257622......)

# ECM B1=5e4, sigma=8028109843454766

n=44500L: c8779(4501297488......) = 5170594879197820001 * x8760(8705569849......)

# ECM B1=5e4, sigma=4600695980059973

n=44500L: x8760(8705569849......) = 1857420869411012589001 * c8739(4686912908......)

# ECM B1=5e4, sigma=6264168912907706

n=44580L: c5920(1564606004......) = 58587085889621321757721 * c5897(2670564648......)

# ECM B1=5e4, sigma=8872947092238790

n=44900L: c8941(3138657978......) = 20014805719179154601 * c8922(1568168096......)

# ECM B1=5e4, sigma=5777467230271998

n=45020L: c8985(5894472067......) = 48182602078239717119081 * c8963(1223361091......)

# ECM B1=5e4, sigma=7824335443403818

n=45100L: c7981(5602292978......) = 426876226050411605914601 * c7958(1312392828......)

# ECM B1=5e4, sigma=7680967039786895

n=45380M: c9060(4911595869......) = 3381085873220392901 * c9042(1452668182......)

# ECM B1=5e4, sigma=1530636123816009

n=45420M: c6020(2394248195......) = 521871162676870179181 * c5999(4587814706......)

# ECM B1=5e4, sigma=2917723882029524

n=45660M: c6072(2626722188......) = 1256286063056624206683721 * c6048(2090863113......)

# ECM B1=5e4, sigma=5365262385970325

n=45900M: c5755(2723304130......) = 277390003072525532547301 * c5731(9817600130......)

# ECM B1=5e4, sigma=7320209327808748

n=46180M: c9205(2186723309......) = 5838543167707347241 * c9186(3745323527......)

# ECM B1=5e4, sigma=2183223188380580

n=46180L: c9226(2498223991......) = 52911190980911076101 * c9206(4721541785......)

# ECM B1=5e4, sigma=8297904819223078

n=46340M: c7896(1104586263......) = 25968675973673246393861 * c7873(4253533237......)

# ECM B1=5e4, sigma=6332948182906833

n=46340L: c7895(9655733181......) = 207908150872324237147961 * c7872(4644230224......)

# ECM B1=5e4, sigma=4096042207125356

n=46380M: c6134(6929622287......) = 57708549157737168181 * c6115(1200796483......)

# ECM B1=5e4, sigma=5542949943145125

n=46580L: c8704(3540999964......) = 1345353274636100263241 * c8683(2632022407......)

# ECM B1=5e4, sigma=6940877897367705

n=46580M: c8705(2796100027......) = 7248107392593944251208501 * c8680(3857696742......)

# ECM B1=5e4, sigma=4616072037585284

n=46620M: c5161(9088591361......) = 526165781662305085141 * c5141(1727324671......)

# ECM B1=5e4, sigma=2189204417191424

n=46660M: c9321(1710899625......) = 9304055723254981181 * c9302(1838875084......)

# ECM B1=5e4, sigma=1394869052898009

n=46660L: c9329(2824060999......) = 274315118849032360456781 * c9306(1029495206......)

# ECM B1=5e4, sigma=3586618383417604

n=46700M: c9310(2204951300......) = 2207850798037028435749501 * x9285(9986867331......)

# ECM B1=5e4, sigma=384412781982361

n=46700M: x9285(9986867331......) = 21017545209016856383327901 * c9260(4751681146......)

# ECM B1=5e4, sigma=508411648580131

n=46740M: c5708(2097444093......) = 7595412975916496274989881 * c5683(2761461555......)

# ECM B1=5e4, sigma=4391513271436347

n=46780L: c9314(1634952496......) = 215428187474095902781 * c9293(7589315564......)

# ECM B1=5e4, sigma=3880319422521035

n=46900L: c7906(5009978446......) = 874537658821931324501 * c7885(5728716649......)

# ECM B1=5e4, sigma=1091416054043992

n=47020M: c9344(1637326039......) = 114754253425504063046521 * c9321(1426810763......)

# ECM B1=5e4, sigma=3282639368148016

n=47020L: c9387(2652644349......) = 2425864791140059357278181 * c9363(1093484005......)

# ECM B1=5e4, sigma=30174418748442

n=47140M: c9418(8429740182......) = 3175313589705143545205341 * c9394(2654774070......)

# ECM B1=5e4, sigma=8400703481465368

n=47140L: c9394(3020902644......) = 5355210710982672809129141 * c9369(5641052812......)

# ECM B1=5e4, sigma=3798920185510025

n=47620L: c9472(4291131430......) = 45107150438371744301 * c9452(9513195555......)

# ECM B1=5e4, sigma=4374051348029343

n=47660L: c9512(1487498637......) = 215947102876654800408721 * c9488(6888254659......)

# ECM B1=5e4, sigma=6883266265431934

n=47740L: c7201(2826914742......) = 1235484148125689612921 * c7180(2288102802......)

# ECM B1=5e4, sigma=2495976766076487

n=47820M: c6339(4313744298......) = 2280063493125523493161 * c6318(1891940426......)

# ECM B1=5e4, sigma=1217620950602236

n=47900M: c9528(1434471576......) = 150987512047972935701 * c9507(9500597482......)

# ECM B1=5e4, sigma=3845680676647783

n=47940M: c5883(2748328867......) = 1002495071156871537181 * c5862(2741488658......)

# ECM B1=5e4, sigma=55287856885131

n=47980L: c9573(1113482140......) = 525565188687035475221 * c9552(2118637543......)

# ECM B1=5e4, sigma=3262914835365023

n=48100M: c8618(7782514423......) = 7711402646435000501 * c8600(1009221639......)

# ECM B1=5e4, sigma=2150156342779390

n=48220L: c9640(3576409999......) = 86034194521568692801 * c9620(4156963425......)

# ECM B1=5e4, sigma=771218077460402

n=48220M: c9600(5428206421......) = 508351161663293773001 * c9580(1067806435......)

# ECM B1=5e4, sigma=6200935034352369

n=48300M: c5255(2909688842......) = 697332002970598254001 * x5234(4172601902......)

# ECM B1=5e4, sigma=7217103770039507

n=48300M: x5234(4172601902......) = 1113901758938965283701 * c5213(3745933489......)

# ECM B1=5e4, sigma=1389864535742012

n=48380L: c9232(3841039386......) = 955051730531168952161 * c9211(4021812917......)

# ECM B1=5e4, sigma=2045267153317472

n=48580L: c8270(6042619590......) = 4471850600837088610121 * c8249(1351257036......)

# ECM B1=5e4, sigma=72096095098296

n=48620M: c7670(2521475684......) = 15996856579039485420701 * c7648(1576231975......)

# ECM B1=5e4, sigma=2943710037744357

n=48620L: c7668(1224545118......) = 29011556095366264832935822951081 * c7636(4220887409......)

# ECM B1=5e4, sigma=687487499880256

n=48780L: c6425(2457844516......) = 2987124513777955513621 * c6403(8228128772......)

# ECM B1=5e4, sigma=8346464152739148

n=48820M: c9755(1831417290......) = 118518022555633876086841 * c9732(1545264805......)

# ECM B1=5e4, sigma=8960088849952354

n=48860L: c8324(8478253600......) = 1284729148471819541 * c8306(6599253710......)

# ECM B1=5e4, sigma=7366388561074726

n=48860M: c8353(2798897498......) = 1187589438651164284961 * c8332(2356788808......)

# ECM B1=5e4, sigma=6446021605141853

n=49180L: c9801(5144137275......) = 356586662381830096421 * c9781(1442605071......)

# ECM B1=5e4, sigma=7424113924584547

n=49220L: c9309(1795903765......) = 1587537207914409280021 * c9288(1131251448......)

# ECM B1=5e4, sigma=1547355114690007

n=49260M: c6540(2209568762......) = 112386609329728988455801 * c6517(1966042730......)

# ECM B1=5e4, sigma=801915497722109

n=49300L: c8946(3069514844......) = 1609149765388934118627401 * c8922(1907538322......)

# ECM B1=5e4, sigma=7817883853491819

n=49420M: c8424(2224570929......) = 150943309136284678474441 * c8401(1473779091......)

# ECM B1=5e4, sigma=4775849203415696

n=49460L: c9877(3773654178......) = 7044291612157521640141 * c9855(5357038558......)

# ECM B1=5e4, sigma=7426140720556120

n=49460M: c9882(5437892006......) = 20278114275922667787281 * c9860(2681655667......)

# ECM B1=5e4, sigma=6293501183661481

n=49580M: c9505(2796099999......) = 306985325338039135981 * c9484(9108252965......)

# ECM B1=5e4, sigma=8369170145315739

n=49700L: c8387(4775880986......) = 39442761584897842059701 * c8365(1210838388......)

# ECM B1=5e4, sigma=666775058282126

n=49740L: c6600(1423946062......) = 675825059647862522341 * c6579(2106974345......)

# ECM B1=5e4, sigma=3580067395370470

n=49780L: c9350(5414787851......) = 3519505539915911355041 * c9329(1538508120......)

# ECM B1=5e4, sigma=7135269632114791

n=49980L: c5360(1268287528......) = 26125857873884962201 * c5340(4854529693......)

# ECM B1=5e4, sigma=3332509110655993

n=49980M: c5369(5844445623......) = 21647845656736888088221 * c5347(2699781639......)

# ECM B1=5e4, sigma=2264172868030862

September 15, 2023 2023 年 9 月 15 日 (Alfred Reich)

# via Kurt Beschorner

n=42140L: c7057(1001000500......) = 2822159349563875218303281 * c7032(3546931183......)

# ECM B1=5e4, sigma=2544366189803806

n=42140M: c7027(2792466631......) = 35389358314994167019869621 * c7001(7890695859......)

# ECM B1=5e4, sigma=4717269528087212

n=42260L: c8436(6002995294......) = 15797974317471712301969381 * c8411(3799851281......)

# ECM B1=5e4, sigma=2306100969976817

n=42420L: c4794(6216153379......) = 12026864927198869441 * c4775(5168556741......)

# ECM B1=5e4, sigma=5073814556543832

n=42660M: c5586(4393253084......) = 5821506145063058941 * c5567(7546591851......)

# ECM B1=5e4, sigma=8108437445018061

n=42700L: c7172(6846812382......) = 33958164318462896251601 * c7150(2016249264......)

# ECM B1=5e4, sigma=3409166045049589

n=42940M: c8055(2784038855......) = 5883520441293999811179541 * c8030(4731926885......)

# ECM B1=5e4, sigma=2358223412740035

n=42980L: c7320(4477771651......) = 482998283751224353708121 * c7296(9270781703......)

# ECM B1=5e4, sigma=1382141551174532

n=43060M: c8603(5465349772......) = 36855322589701698674905121 * c8578(1482920074......)

# ECM B1=5e4, sigma=7761142448214720

n=43380L: c5735(1827388620......) = 8154838355382419705281 * c5713(2240864307......)

# ECM B1=5e4, sigma=7369638255800989

n=43540L: c7427(1675541747......) = 80675314598746494901 * x7407(2076895213......)

# ECM B1=5e4, sigma=5819529218770827

n=43540L: x7407(2076895213......) = 1493808440592919229381 * c7386(1390335706......)

# ECM B1=5e4, sigma=970014073212775

n=43580L: c8695(3723893141......) = 477996548240832426013261 * c8671(7790627684......)

# ECM B1=5e4, sigma=4258562601421154

n=43700M: c7915(1650945651......) = 511728460950933147142601 * c7891(3226214247......)

# ECM B1=5e4, sigma=2913661709882640

n=43780L: c7916(6386624245......) = 2606412476884276480376441 * x7892(2450350549......)

# ECM B1=5e4, sigma=8929639657472076

n=43780L: x7892(2450350549......) = 1580532204725262063380795141 * x7865(1550332566......)

# ECM B1=5e4, sigma=1192010755774693

n=43780L: x7865(1550332566......) = 1876374763518773378496751501 * c7837(8262382318......)

# ECM B1=5e4, sigma=7730401935460433

September 12, 2023 2023 年 9 月 12 日 (Alfred Reich)

# via Kurt Beschorner

n=37020L: c4917(1180316822......) = 16826131813803394321 * c4897(7014784117......)

# ECM B1=5e4, sigma=8807150165285697

n=37060L: c6902(1283560892......) = 401360882938417573081 * c6881(3198021898......)

# ECM B1=5e4, sigma=1483626566117798

n=37060M: c6888(1600934388......) = 12742242359899141011661 * c6866(1256399261......)

# ECM B1=5e4, sigma=2391060825571348

n=37100L: c6204(8358487904......) = 3374177980518262084301 * c6183(2477192357......)

# ECM B1=5e4, sigma=4671919529636487

n=37220L: c7400(5146338408......) = 24641353583428465921 * c7381(2088496636......)

# ECM B1=5e4, sigma=8502028604730354

n=37300L: c7412(3049310530......) = 135060358719620124529901 * c7389(2257739102......)

# ECM B1=5e4, sigma=3516523878813861

n=37340L: c7448(1667532078......) = 802432606879004617661 * c7427(2078096108......)

# ECM B1=5e4, sigma=2607260101426134

n=37380M: c4186(1158408966......) = 1831533521198345023614241 * c4161(6324803521......)

# ECM B1=5e4, sigma=6419868428945228

n=37380L: c4213(1465127857......) = 2608786073855993545934025481 * c4185(5616128789......)

# ECM B1=5e4, sigma=2667462193960206

n=37500L: c4973(3106195910......) = 930431772651082026750001 * c4949(3338445657......)

# ECM B1=5e4, sigma=1547657373156249

n=37540M: c7478(1439386140......) = 120996561412116396532375061 * c7452(1189609128......)

# ECM B1=5e4, sigma=2993910349636021

n=37820M: c7176(9396082797......) = 349043394748628458069921 * c7153(2691952616......)

# ECM B1=5e4, sigma=5294817869499414

n=38180L: c7211(9154304759......) = 81758375471268328098841 * c7189(1119677917......)

# ECM B1=5e4, sigma=810186358702139

n=38220M: c4018(1466387173......) = 44996083415210566011866221 * c3992(3258921803......)

# ECM B1=5e4, sigma=6873813259038166

n=38340L: c5035(2370886408......) = 646373186476631326847161 * c5011(3667983849......)

# ECM B1=5e4, sigma=8652654494778737

n=38500L: c5988(1595630317......) = 8458681674257632360158001 * c5963(1886381801......)

# ECM B1=5e4, sigma=5857915688988925

n=38700M: c5021(4190552380......) = 2166579019048136401 * c5003(1934179341......)

# ECM B1=5e4, sigma=8511315179761226

n=38740M: c7082(9830523537......) = 10908273965343521706792841 * c7057(9011988119......)

# ECM B1=5e4, sigma=2963827025007875

n=38820L: c5151(8220200336......) = 9840970309821784461275461 * c5126(8353038447......)

# ECM B1=5e4, sigma=2259614173605405

n=38900L: c7747(1179295055......) = 141094164856210267601 * c7726(8358212807......)

# ECM B1=5e4, sigma=4593124141790598

n=39060M: c4303(1221600160......) = 352465784996023777484701 * c4279(3465868780......)

# ECM B1=5e4, sigma=7100747840432865

n=39260M: c7201(2796097203......) = 2316263418854745863139781 * c7177(1207158555......)

# ECM B1=5e4, sigma=2689050290130919

n=39420M: c5174(6354907847......) = 29426185003766700241 * c5155(2159609832......)

# ECM B1=5e4, sigma=6579709024168283

n=39700M: c7901(6086974557......) = 341508262728522386673553501 * c7875(1782379878......)

# ECM B1=5e4, sigma=4915448760031438

n=39740L: c7906(1653872951......) = 275432948877877520461 * x7885(6004630012......)

# ECM B1=5e4, sigma=3552391459936089

n=39740L: x7885(6004630012......) = 1250879920916736806467481 * c7861(4800324885......)

# ECM B1=5e4, sigma=3980374826543655

n=39980L: c7985(2833407248......) = 8804403081999847558820861 * c7960(3218170751......)

# ECM B1=5e4, sigma=1207422471218635

n=40020L: c4908(2035991389......) = 751548568065197502708781 * c4884(2709061631......)

# ECM B1=5e4, sigma=466514005245979

n=40140M: c5308(1856744230......) = 103515189459070553355601 * c5285(1793692539......)

# ECM B1=5e4, sigma=3348770223593550

n=40420M: c7718(5780114272......) = 180014077070446546799210041 * x7692(3210923482......)

# ECM B1=5e4, sigma=4018126475418299

n=40420M: x7692(3210923482......) = 222547958877712117787302302301 * c7663(1442800688......)

# ECM B1=5e4, sigma=855870849072927

n=40660M: c7632(3540999996......) = 65448851735672042686781 * c7609(5410331736......)

# ECM B1=5e4, sigma=7395835065316929

n=40780M: c8129(5073676402......) = 54839775227068722641 * c8109(9251818377......)

# ECM B1=5e4, sigma=6826190600145324

n=40820M: c7457(3065769057......) = 1670886140196159754113021361 * c7430(1834816259......)

# ECM B1=5e4, sigma=2843274585181355

n=40900M: c8160(9900498007......) = 4063061330492595334936001 * c8136(2436708974......)

# ECM B1=5e4, sigma=8662159148586656

n=41060L: c8203(1463379764......) = 1263560540572164752881 * c8182(1158139809......)

# ECM B1=5e4, sigma=894230348387031

n=41180M: c7835(4299364990......) = 11886486964494430081 * c7816(3617019060......)

# ECM B1=5e4, sigma=7873302874479387

n=41260L: c8235(1199912786......) = 130091089959977640421 * c8214(9223635433......)

# ECM B1=5e4, sigma=2078238991182773

n=41300M: c6937(1764743126......) = 11755681866874664429201 * c6915(1501183126......)

# ECM B1=5e4, sigma=132869246942538

n=41340L: c4987(8829975204......) = 199249628174310703861 * c4967(4431614395......)

# ECM B1=5e4, sigma=4256001234078868

n=41340M: c4971(5190325498......) = 3231913492357193425081 * c4950(1605960527......)

# ECM B1=5e4, sigma=4212705118796003

n=41620L: c8304(4114525734......) = 88819636337761899421 * c8284(4632450553......)

# ECM B1=5e4, sigma=3183467439207362

n=41620M: c8320(3576409999......) = 722557501815782357092801 * c8296(4949654512......)

# ECM B1=5e4, sigma=7334685982444683

n=41740L: c8331(9026350641......) = 106086860000300661121 * x8311(8508453018......)

# ECM B1=5e4, sigma=2578617967030337

n=41740L: x8311(8508453018......) = 102988870881423952012981 * c8288(8261526653......)

# ECM B1=5e4, sigma=3019647067726691

n=41820M: c5104(6051536061......) = 170016131275204138786201 * c5081(3559389345......)

# ECM B1=5e4, sigma=3573777841121269

n=41980L: c8392(3576409999......) = 122088585997621708321 * c8372(2929356557......)

# ECM B1=5e4, sigma=6557816363591639

September 11, 2023 2023 年 9 月 11 日 (Alfred Reich)

# via Kurt Beschorner

n=35020L: c6485(1369017432......) = 28903724076676982852372881 * c6459(4736474194......)

# ECM B1=5e4, sigma=2697481209684722

n=35180L: c7027(5351630941......) = 34537910125179589137881 * c7005(1549494721......)

# ECM B1=5e4, sigma=987379694349130

n=35340L: c4312(1659205327......) = 3115635267044908981 * c4293(5325415798......)

# ECM B1=5e4, sigma=3978251513849508

n=35460L: c4680(2034713930......) = 4075479186702369351483421 * c4655(4992575934......)

# ECM B1=5e4, sigma=6413761560479212

n=35540M: c7105(2824060999......) = 262960303863259765432321 * c7082(1073949549......)

# ECM B1=5e4, sigma=4288822140002212

n=35740M: c7133(1383301441......) = 8875437263480067369161 * c7111(1558572721......)

# ECM B1=5e4, sigma=5791751934610521

n=35740L: c7129(1555558117......) = 56321851391096782320601 * c7106(2761908707......)

# ECM B1=5e4, sigma=1620483287707845

n=35900L: c7153(2799512667......) = 5060155645980237538661801 * x7128(5532463550......)

# ECM B1=5e4, sigma=6051060983360999

n=35900L: x7128(5532463550......) = 15939085656332575145398901 * c7103(3471004341......)

# ECM B1=5e4, sigma=6901406813597507

n=35940M: c4776(3648641170......) = 14335168607920272241 * x4757(2545237708......)

# ECM B1=5e4, sigma=2882058334341075

n=35940M: x4757(2545237708......) = 240689145957034295641 * c4737(1057479222......)

# ECM B1=5e4, sigma=5646614649513176

n=35980L: c6138(1695127117......) = 283206577133244174138961 * c6114(5985479345......)

# ECM B1=5e4, sigma=4376737774648145

n=36020M: c7188(6960866865......) = 84396627873847159119401 * c7165(8247802123......)

# ECM B1=5e4, sigma=3640446386379419

n=36100L: c6785(4037639301......) = 49279383113676742434901 * c6762(8193364133......)

# ECM B1=5e4, sigma=1659735675647351

n=36140L: c6625(2796097203......) = 1068241474133951448241 * c6604(2617476733......)

# ECM B1=5e4, sigma=2579216102840293

n=36380L: c6766(1585143960......) = 6156040062278536940141 * c6744(2574940942......)

# ECM B1=5e4, sigma=8056180071228253

n=36380M: c6761(1651222807......) = 178326235031703101660281 * c6737(9259561875......)

# ECM B1=5e4, sigma=8061556556007634

n=36420M: c4837(1663936158......) = 7286781631718749038421 * c4815(2283499413......)

# ECM B1=5e4, sigma=8871249127566471

n=36580M: c6946(9074016278......) = 161835013151576672891021 * c6923(5606954948......)

# ECM B1=5e4, sigma=2710639218064094

n=36620L: c7297(3964683464......) = 7961440334418954366980890981 * c7269(4979857032......)

# ECM B1=5e4, sigma=8451654933119814

n=36740L: c6620(1724054171......) = 5259205977829099601801 * c6598(3278164382......)

# ECM B1=5e4, sigma=4922868328290132

n=36820M: c6274(1619524126......) = 866872538127986218651469501 * c6247(1868237895......)

# ECM B1=5e4, sigma=2110348427492337

September 10, 2023 2023 年 9 月 10 日 (Alfred Reich)

# via Kurt Beschorner

n=30020L: c5609(1070342897......) = 618060764930741065621 * c5588(1731776158......)

# ECM B1=5e4, sigma=8995850357478236

n=30260L: c5628(4620049285......) = 22271915435075005695761 * x5606(2074383453......)

# ECM B1=5e4, sigma=405708324656127

n=30260L: x5606(2074383453......) = 112117229832843009434801 * c5583(1850191497......)

# ECM B1=5e4, sigma=646521153135184

n=30860L: c6129(1129112795......) = 5953046950451596911661 * c6107(1896697278......)

# ECM B1=5e4, sigma=5120371899374780

n=31140L: c4085(4769162252......) = 6817090549648004256601 * c4063(6995891015......)

# ECM B1=5e4, sigma=572965771289731

n=31220M: c5311(8024573298......) = 93712983900457488841 * c5291(8562925823......)

# ECM B1=5e4, sigma=1831099249185515

n=31340M: c6257(3240216933......) = 477793092630271611470041 * c6233(6781632013......)

# ECM B1=5e4, sigma=3217039006506128

n=31740L: c4043(1211767229......) = 717975800158165672471921 * c4019(1687754975......)

# ECM B1=5e4, sigma=968679159961638

n=31740M: c4037(6151775521......) = 1299227822009791323245341 * c4013(4734947495......)

# ECM B1=5e4, sigma=2499615155974861

n=31980L: c3821(6684113577......) = 1698314167020130141 * c3803(3935734452......)

# ECM B1=5e4, sigma=8807774208220893

n=32260M: c6432(4325136183......) = 2785585830720577315938351701 * c6405(1552684586......)

# ECM B1=5e4, sigma=4333671573019794

n=32300L: c5743(2111878731......) = 4529052518833782161501 * p5721(4662959245......)

# ECM B1=5e4, sigma=6571519825425552

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"7019801*14103673319201*((10^1615+1)*((10^3230+10^1615)*(10^1615-10^808+3)-10^808+2)-1)/468800497832216101/4529052518833782161501/((10^95+1)*((10^190+10^95)*(10^95+10^48+3)+10^48+2)-1)/((10^85+1)*((10^170+10^85)*(10^85+10^43+3)+10^43+2)-1)"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing 7019801*14103673319201*((10^1615+1)*((10^3230+10^1615)*(10^1615-10^808+3)-10^808+2)-1)/468800497832216101/4529052518833782161501/((10^95+1)*((10^190+10^95)*(10^95+10^48+3)+10^48+2)-1)/((10^85+1)*((10^170+10^85)*(10^85+10^43+3)+10^43+2)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 14+sqrt(29)

Calling N+1 BLS with factored part 0.13% and helper 0.09% (0.51% proof)
7019801*14103673319201*((10^1615+1)*((10^3230+10^1615)*(10^1615-10^808+3)-10^808+2)-1)/468800497832216101/4529052518833782161501/((10^95+1)*((10^190+10^95)*(10^95+10^48+3)+10^48+2)-1)/((10^85+1)*((10^170+10^85)*(10^85+10^43+3)+10^43+2)-1) is Fermat and Lucas PRP! (1.4649s+0.0012s)

n=32300M: c5706(1647949048......) = 26084309532393196044495401 * c5680(6317779071......)

# ECM B1=5e4, sigma=4677336848979673

n=32340L: c3361(1001000500......) = 605161894817642534700307981 * c3334(1654103651......)

# ECM B1=5e4, sigma=651054720327959

n=32420L: c6474(1361912185......) = 240518442796613528692681 * c6450(5662402308......)

# ECM B1=5e4, sigma=3051939572108123

n=32620L: c5568(3537460769......) = 38329897309348095453068641 * c5542(9228985773......)

# ECM B1=5e4, sigma=464211180021634

n=33180L: c3734(3784507737......) = 293808094634795066489941 * c3711(1288088315......)

# ECM B1=5e4, sigma=3821842806214975

n=33220L: c5981(2336985124......) = 96599080469812259021 * x5961(2419262288......)

# ECM B1=5e4, sigma=4821980447443408

n=33220L: x5961(2419262288......) = 2785271035536570165421 * c5939(8685913353......)

# ECM B1=5e4, sigma=7751932255668261

n=33540L: c4003(9601751254......) = 177886458947830441381 * c3983(5397685305......)

# ECM B1=5e4, sigma=6442326600150250

n=33540M: c3999(3907603590......) = 412860565966425928483743001 * c3972(9464705308......)

# ECM B1=5e4, sigma=7752237196355537

n=33620M: c6541(2730272251......) = 48685103142985953517625794901 * c6512(5608023965......)

# ECM B1=5e4, sigma=4171099911880913

n=33980L: c6780(8951957019......) = 12733067082301471826098621 * x6755(7030479743......)

# ECM B1=5e4, sigma=4128561430097139

n=33980L: x6755(7030479743......) = 15013957225556671587261961 * c6730(4682629394......)

# ECM B1=5e4, sigma=4563586146766192

n=34060L: c6235(5130820744......) = 14021671005006776169827341 * c6210(3659207767......)

# ECM B1=5e4, sigma=3451556023718517

n=34100L: c5983(4523992692......) = 13598945944446949357368901 * c5958(3326723049......)

# ECM B1=5e4, sigma=870483072205695

n=34180L: c6826(5507074762......) = 5700624254218793825201 * x6804(9660476673......)

# ECM B1=5e4, sigma=6246583499504720

n=34180L: x6804(9660476673......) = 161990859084068732713661 * c6781(5963593703......)

# ECM B1=5e4, sigma=214692647201797

n=34380L: c4549(7361078517......) = 67099290355590292524061 * x4527(1097042677......)

# ECM B1=5e4, sigma=3673391987713805

n=34380L: x4527(1097042677......) = 139242942726899703486661 * c4503(7878623191......)

# ECM B1=5e4, sigma=5195024416460119

n=34540L: c6231(1774844684......) = 9475660852287952681868822060208781 * c6197(1873056362......)

# ECM B1=5e4, sigma=7362162570130748

n=34740M: c4608(9048972901......) = 1527124582648150967109061 * c4584(5925497502......)

# ECM B1=5e4, sigma=302379079581802

n=34820L: c6919(3004654524......) = 173403011664357729206741 * c6896(1732757981......)

# ECM B1=5e4, sigma=2741619556881202

n=34860M: c3931(1930869482......) = 321434417153707237381 * c3910(6007040254......)

# ECM B1=5e4, sigma=8047304518547884

n=34940M: c6977(7754438830......) = 26172580233044013341 * x6958(2962810224......)

# ECM B1=5e4, sigma=3327489618951677

n=34940M: x6958(2962810224......) = 1336910838089651852381 * x6937(2216161422......)

# ECM B1=5e4, sigma=1118866001116355

n=34940M: x6937(2216161422......) = 9845834172667107399523261 * c6912(2250862022......)

# ECM B1=5e4, sigma=1118866001116355

September 9, 2023 2023 年 9 月 9 日 (Alfred Reich)

# via Kurt Beschorner

n=26020L: c5200(3576409999......) = 32859052812603851866913323805321 * c5169(1088409340......)

# ECM B1=5e4, sigma=5688334149059255

n=26100M: c3344(2204645531......) = 918954594672130463401 * x3323(2399079937......)

# ECM B1=5e4, sigma=1589111323619044

n=26100M: x3323(2399079937......) = 1012809116994441512401 * x3302(2368738488......)

# ECM B1=5e4, sigma=5124692383042020

n=26100M: x3302(2368738488......) = 2239424506117572060601 * c3281(1057744291......)

# ECM B1=5e4, sigma=8553845831209383

n=26140M: c5208(9495490723......) = 1521257293456865941 * c5190(6241870303......)

# ECM B1=5e4, sigma=196776555389944

n=26140L: c5198(2828189229......) = 8425969886369497233901 * c5176(3356514761......)

# ECM B1=5e4, sigma=1000864837604132

n=26220L: c3151(1733881730......) = 55740440057351898068641 * c3128(3110635166......)

# ECM B1=5e4, sigma=1435196715169851

n=26420M: c5280(3576409999......) = 96096919403870980700968861 * c5254(3721669770......)

# ECM B1=5e4, sigma=5194863690988984

n=26820M: c3500(1300409621......) = 177673352246637107761 * x3479(7319103313......)

# ECM B1=5e4, sigma=5151165353538365

n=26820M: x3479(7319103313......) = 73756714963933693006183621 * c3453(9923304362......)

# ECM B1=5e4, sigma=8783568855015692

n=26860M: c4985(3003000171......) = 677454164312325783841 * x4964(4432772473......)

# ECM B1=5e4, sigma=3529013167930295

n=26860M: x4964(4432772473......) = 101867561471536050328003441 * c4938(4351505434......)

# ECM B1=5e4, sigma=5166558866650757

n=26900L: c5331(5597844026......) = 1510621898378190322801 * c5310(3705655288......)

# ECM B1=5e4, sigma=8455424256034603

n=26900M: c5353(2283961907......) = 751785630104358897469601 * x5329(3038049432......)

# ECM B1=5e4, sigma=3475379031081596

n=26900M: x5329(3038049432......) = 16921647702927191963821501 * c5304(1795362653......)

# ECM B1=5e4, sigma=6533201998701319

n=26980L: c5009(1253953174......) = 19555558064017300301 * c4989(6412259730......)

# ECM B1=5e4, sigma=7908821299309099

n=27420M: c3631(1797472119......) = 1163259974014289581 * x3613(1545202413......)

# ECM B1=5e4, sigma=3183860570668345

n=27420M: x3613(1545202413......) = 127081791032372454721 * c3593(1215911737......)

# ECM B1=5e4, sigma=5111889750206331

n=27580L: c4705(2798897498......) = 2028492049278311970930184721 * c4678(1379792195......)

# ECM B1=5e4, sigma=6375349258003421

n=27660L: c3651(1291897099......) = 623585302968745593361 * c3630(2071724739......)

# ECM B1=5e4, sigma=1482520458001594

n=27820L: c5068(6000908494......) = 7394682783751129519381 * c5046(8115166897......)

# ECM B1=5e4, sigma=7407998478139935

n=27940M: c5029(9113142142......) = 35920706453288134721 * c5010(2537016401......)

# ECM B1=5e4, sigma=3697660763429737

n=28340M: c5158(1494867848......) = 12514256061822280906141 * c5136(1194531932......)

# ECM B1=5e4, sigma=7004058695696068

n=28420M: c4667(1156980102......) = 55870912932088677827741 * x4644(2070809374......)

# ECM B1=5e4, sigma=181479864632050

n=28420M: x4644(2070809374......) = 3497401937401491421 * c4625(5920993387......)

# ECM B1=5e4, sigma=6170132881331683

n=28460M: c5681(5275339007......) = 147047279936783380515421 * c5658(3587512132......)

# ECM B1=5e4, sigma=2659607722860525

n=28620L: c3721(1958735020......) = 73294751712273806867221 * c3698(2672408289......)

# ECM B1=5e4, sigma=2761031902883534

n=28660M: c5719(8594938399......) = 882144109227537986581 * x5698(9743236178......)

# ECM B1=5e4, sigma=8878514088086299

n=28660M: x5698(9743236178......) = 33858440188954689152701 * c5676(2877638817......)

# ECM B1=5e4, sigma=3186078713671970

n=28740M: c3790(5176705398......) = 238602337400166544698601 * c3767(2169595426......)

# ECM B1=5e4, sigma=3196582094041275

n=28780L: c5746(3940795294......) = 6147477331313320119121 * c5724(6410426720......)

# ECM B1=5e4, sigma=3330112413951902

n=28780M: c5752(3576409999......) = 53042835309405802208429981 * c5726(6742494021......)

# ECM B1=5e4, sigma=46610670852239

n=28820L: c5182(4327688712......) = 15581757175889858801 * c5163(2777407363......)

# ECM B1=5e4, sigma=7037604781156140

n=28820M: c5178(3180516822......) = 1386550645342712983321 * c5157(2293833862......)

# ECM B1=5e4, sigma=4792019280423547

n=28940M: c5770(8090069002......) = 1097989855863400861 * c5752(7368072628......)

# ECM B1=5e4, sigma=354262630120799

n=28980L: c3143(7534811539......) = 17652638213674379203681 * c3121(4268377025......)

# ECM B1=5e4, sigma=4633283114443213

n=29220M: c3871(1431068569......) = 432875329072671061561 * c3850(3305960106......)

# ECM B1=5e4, sigma=2559055084336956

n=29420L: c5858(5010925702......) = 36678633712329437767121 * c5836(1366170218......)

# ECM B1=5e4, sigma=4414154524756159

n=29420M: c5861(6650016774......) = 12687214872609156392423021 * c5836(5241510324......)

# ECM B1=5e4, sigma=6594454870524254

n=29500M: c5785(2154982636......) = 21431631647584238501 * c5766(1005514965......)

# ECM B1=5e4, sigma=1982706189093745

n=29500L: c5800(9999999999......) = 647804358762623142325001 * c5777(1543675936......)

# ECM B1=5e4, sigma=5282441050106842

n=29540L: c5027(5816174488......) = 18000342211173707141 * x5008(3231146619......)

# ECM B1=5e4, sigma=5380282317576700

n=29540L: x5008(3231146619......) = 1213788793504005867821 * c4987(2662033656......)

# ECM B1=5e4, sigma=4102212991330778

n=29580L: c3552(1473883302......) = 34847466614435387606581 * c3529(4229527842......)

# ECM B1=5e4, sigma=5242886381363251

n=29580M: c3579(1670325117......) = 66466838329313969309461 * c3556(2513020265......)

# ECM B1=5e4, sigma=1348713467080630

n=29780M: c5946(1601257397......) = 124000766811449815181 * c5926(1291328625......)

# ECM B1=5e4, sigma=7012340862055662

n=29820M: c3351(4981021261......) = 99072190123388279598781 * c3328(5027668466......)

# ECM B1=5e4, sigma=6467348222482379

September 8, 2023 2023 年 9 月 8 日 (Alfred Reich)

# via Kurt Beschorner

n=20220M: c2671(1239851517......) = 10223058070529785670688357361 * c2643(1212799056......)

# ECM B1=5e4, sigma=2543603393788882

n=21820M: c4343(9585643521......) = 7074368339855339579125818361 * c4316(1354982248......)

# ECM B1=5e4, sigma=8701310784064635

n=22660L: c4058(3986047457......) = 215280372593848857343215258568585797701 * c4020(1851561017......)

# ECM B1=1e6, sigma=5943158010510581

n=23100M: c2342(5096796821......) = 1986244219841832504764571901 * c2315(2566047402......)

# ECM B1=5e4, sigma=5417620701313383

n=23380M: c3967(5136771880......) = 85397957696390310023393041 * x3941(6015099211......)

# ECM B1=1e6, sigma=6857365751302375

n=23380M: x3941(6015099211......) = 12309312500975726143271044801 * c3913(4886624830......)

# ECM B1=5e4, sigma=2269215268978955

n=23780M: c4454(3487751859......) = 263571792221470089563621 * c4431(1323264462......)

# ECM B1=1e6, sigma=2625674264863700

n=23980M: c4285(3588642432......) = 1234338316470931972770606401 * c4258(2907341030......)

# ECM B1=25e4, sigma=4004826690948374

n=24020M: c4761(5431758768......) = 239874806031113766941 * c4741(2264414032......)

# ECM B1=5e4, sigma=7799173506061440

n=24060M: c3159(3766386364......) = 795640783757340506843340398401 * c3129(4733777404......)

# ECM B1=5e5, sigma=3229222798416724

n=24100M: c4780(1702286602......) = 212616178595797160501 * c4759(8006383211......)

# ECM B1=5e4, sigma=3858228031455605

n=24140L: c4469(6191090955......) = 16225914060076678236701 * c4447(3815557590......)

# ECM B1=25e4, sigma=5714140100613022

n=24140M: c4459(6886600358......) = 4873835164453343658212681 * c4435(1412973587......)

# ECM B1=1e6, sigma=2952132499096018

n=24180M: c2838(1276931030......) = 249248377377869073361 * x2817(5123126753......)

# ECM B1=25e4, sigma=2924704684561006

n=24180M: x2817(5123126753......) = 43973781856486584237626401 * c2792(1165041198......)

# ECM B1=25e4, sigma=2598882441140466

n=24340L: c4849(1578553898......) = 5204862662185363795621 * c4827(3032844477......)

# ECM B1=5e4, sigma=4302025850825018

n=24340M: c4865(2824060999......) = 1898219634137414473006142274881 * c4835(1487741960......)

# ECM B1=1e6, sigma=6527429290346187

n=24380M: c4554(9134229696......) = 7666529237263097798751001 * c4530(1191442622......)

# ECM B1=1e6, sigma=5080660294779822

n=24460M: c4878(2425218714......) = 99949301538639244001 * c4858(2426448886......)

# ECM B1=5e4, sigma=7954348260703533

n=24620M: c4913(1006683403......) = 18492572044958660221 * c4893(5443717621......)

# ECM B1=5e4, sigma=2330163090128213

n=24660L: c3250(1682589882......) = 1610157596278728982310039701 * c3223(1044984594......)

# ECM B1=1e6, sigma=139050394584005

n=24860L: c4459(4904980606......) = 66948149699068583441 * c4439(7326536474......)

# ECM B1=5e4, sigma=5718982037196953

n=24860M: c4476(1874570404......) = 277385246596606580741 * c4455(6758003273......)

# ECM B1=5e4, sigma=8527249945352403

n=24900M: c3281(1010050099......) = 420076715999143272705774001 * c3254(2404442001......)

# ECM B1=1e6, sigma=6231036403823703

n=24940M: c4671(1217763188......) = 1663931927717401604637288655321 * c4640(7318587785......)

# ECM B1=5e4, sigma=7731965483082955

n=25020M: c3307(5166678790......) = 1812280159608368020201 * x3286(2850927194......)

# ECM B1=5e4, sigma=3492718326212741

n=25020M: x3286(2850927194......) = 3783654551991678005008617348961 * c3255(7534850645......)

# ECM B1=5e4, sigma=4171359071069900

n=25180L: c5019(1210597177......) = 73639815885896918151841 * x4996(1643943786......)

# ECM B1=5e4, sigma=837787668977778

n=25180L: x4996(1643943786......) = 3526557623298417342090920801 * c4968(4661610448......)

# ECM B1=5e4, sigma=7005119048244742

n=25260M: c3301(6794383701......) = 3903883254883186441 * c3283(1740416722......)

# ECM B1=5e4, sigma=8923770277624171

n=25300L: c4356(1809140622......) = 58051075627779526047783359201 * c4327(3116463567......)

# ECM B1=5e4, sigma=321942256580347

n=25340M: c4309(3261725714......) = 231280729989041649607498026941 * c4280(1410288576......)

# ECM B1=25e4, sigma=5187979621983357

n=25500M: c3188(1854192839......) = 862074218249827307226001 * c3164(2150850588......)

# ECM B1=5e4, sigma=3951272628281933

n=25540L: c5090(1261428371......) = 13016432002698583665581 * c5067(9691045680......)

# ECM B1=5e4, sigma=7274866310381943

n=25580L: c5078(2102259784......) = 2478382321071061389841 * c5056(8482386946......)

# ECM B1=5e4, sigma=2749565908803621

n=25780M: c5124(6925180430......) = 3153628211067135821 * c5106(2195940664......)

# ECM B1=5e4, sigma=6046824791591463

n=25820L: c5141(1513579091......) = 513091701982829162881 * c5120(2949919256......)

# ECM B1=5e4, sigma=8323653856245129

September 22, 2023 2023 年 9 月 22 日 (Alfred Reich)

# via Kurt Beschorner

n=60166: c29564(1828244718......) = 3411554751895532611 * c29545(5358978095......)

# ECM B1=5e4, sigma=1830722952940968

n=60188: c29281(1009999999......) = 63707848856698080941 * c29261(1585361957......)

# ECM B1=5e4, sigma=7549497347868030

n=60204: c19254(6005562007......) = 44314843097890744429 * c19235(1355203265......)

# ECM B1=5e4, sigma=1412415365989497

n=60298: c25056(9090910000......) = 42330541120603774459 * c25037(2147600706......)

# ECM B1=5e4, sigma=348136041361552

n=60538: c30236(1776502623......) = 56472431945687111382173 * c30213(3145787355......)

# ECM B1=5e4, sigma=7932339086199417

n=60558: c20160(3471611382......) = 4033541130256308361 * c20141(8606857525......)

# ECM B1=5e4, sigma=4229573563947994

n=60612: c20185(1218490575......) = 862176921421695385501 * c20164(1413272085......)

# ECM B1=5e4, sigma=46912628001930

n=60618: c20205(1098901098......) = 465978823312187924293 * c20184(2358264032......)

# ECM B1=5e4, sigma=8409227869975411

n=60640: c24177(2119484992......) = 6297941575454873921 * c24158(3365361471......)

# ECM B1=5e4, sigma=869164176170192

n=60918: c16779(1848595256......) = 1044380790414298851388447 * c16755(1770039503......)

# ECM B1=5e4, sigma=5653923792319413

n=60936: c20266(1300362662......) = 89319522262192869253489 * c20243(1455854923......)

# ECM B1=5e4, sigma=7459795252354468

n=61002: c20306(5142092106......) = 74285917756965600967 * c20286(6922028106......)

# ECM B1=5e4, sigma=5343105490984385

n=61256: c25920(9999000099......) = 27107508385825683089 * c25901(3688645949......)

# ECM B1=5e4, sigma=6005467252811956

n=61428: c20455(1053850771......) = 4368000927691368469 * c20436(2412661510......)

# ECM B1=5e4, sigma=4710529790006884

n=61842: c18693(3781926798......) = 730756511963653453477 * c18672(5175358325......)

# ECM B1=5e4, sigma=274202147231566

n=62028: c20665(1000000999......) = 2555195383141503409 * c20646(3913598962......)

# ECM B1=5e4, sigma=2019517308362026

n=62194: c28138(2136230675......) = 144023967228820358527 * c28118(1483246654......)

# ECM B1=5e4, sigma=5701128315028413

n=62406: c20779(1668797673......) = 2939821049388296197 * c20760(5676528078......)

# ECM B1=5e4, sigma=5570357492358075

n=62414: c28345(7649930967......) = 232500228564277380453847 * c28322(3290289654......)

# ECM B1=5e4, sigma=3269717176527650

n=62518: c31226(1359638025......) = 13609535396240022412211933 * c31200(9990333876......)

# ECM B1=5e4, sigma=6598684921599801

n=63334: c31656(6071542550......) = 55614266704963622251383637 * c31631(1091723924......)

# ECM B1=5e4, sigma=3769553921376496

n=63582: c21182(3148246224......) = 198718831966296779539 * c21162(1584271703......)

# ECM B1=5e4, sigma=6557015959978280

n=63622: c29331(2093810670......) = 203711378942888393903 * c29311(1027831965......)

# ECM B1=5e4, sigma=8156245874581172

n=63930: c17024(4176708394......) = 5244764366881299857041 * c17002(7963576821......)

# ECM B1=5e4, sigma=8482558363437918

n=64624: c27638(2396110172......) = 7337718648861266401 * c27619(3265470218......)

# ECM B1=5e4, sigma=4918791234923112

n=65124: c21385(1000000000......) = 1245481030174580029 * c21366(8029026342......)

# ECM B1=5e4, sigma=6097263874421796

n=65162: c31476(1433816766......) = 6024622092903070221121 * c31454(2379928142......)

# ECM B1=5e4, sigma=8252592451943117

n=65882: c32940(9090909090......) = 385744272934062309923943417487103 * c32908(2356719134......)

# ECM B1=5e4, sigma=5837050822341049

n=66102: c21017(1812588420......) = 29955477165287363449 * c20997(6050941572......)

# ECM B1=5e4, sigma=4286685976634742

n=66108: c18860(1497678077......) = 1680000338423639821 * c18841(8914748663......)

# ECM B1=5e4, sigma=43365449780751

n=66462: c18704(1152558149......) = 76155304755210513493 * c18684(1513431208......)

# ECM B1=5e4, sigma=8798695134660782

n=66520: c26586(2784179978......) = 59283511298562502001 * c26566(4696381704......)

# ECM B1=5e4, sigma=4315911855565864

n=66776: c31331(1069496511......) = 129158068225965028529 * c31310(8280524213......)

# ECM B1=5e4, sigma=6763700763917433

n=67146: c20515(7446404503......) = 1625857044566878441 * c20497(4579987231......)

# ECM B1=5e4, sigma=6659964656572954

n=67332: c21600(9901000000......) = 23136134136075799460329 * c21578(4279453058......)

# ECM B1=5e4, sigma=3522980128282582

n=67356: c22441(1000000999......) = 1710814761934636429 * c22422(5845174020......)

# ECM B1=5e4, sigma=8968691324722496

n=67830: c13824(9100091910......) = 6004645262201301451 * c13806(1515508662......)

# ECM B1=5e4, sigma=4110081692379022

n=67870: c24604(4889931397......) = 43809986101997523761 * c24585(1116168214......)

# ECM B1=5e4, sigma=4850215879642042

n=68254: c34116(5102802375......) = 217004088399226548884620463 * c34090(2351477528......)

# ECM B1=5e4, sigma=1538271495927804

n=68628: c18131(5696326852......) = 3389675731294471669 * c18113(1680493151......)

# ECM B1=5e4, sigma=5886782688284938

n=68754: c19617(2719609363......) = 1356932166200212561 * c19599(2004233838......)

# ECM B1=5e4, sigma=6921471925612644

n=68782: c27711(2552862687......) = 1995833784972492602047 * c27690(1279095837......)

# ECM B1=5e4, sigma=313758749776299

n=68966: c34461(1031271372......) = 3573814747322036987664977023 * c34433(2885631866......)

# ECM B1=5e4, sigma=7941892399936185

n=69190: c23032(1274396167......) = 108669062417394855641 * c23012(1172731354......)

# ECM B1=5e4, sigma=7127899752377865

n=69408: c23034(4002098700......) = 2225391420982054291201 * c23013(1798379675......)

# ECM B1=5e4, sigma=289847267281767

n=69586: c31603(3946068570......) = 16779601522819915502207 * c31581(2351705769......)

# ECM B1=5e4, sigma=4630849914634073

n=69658: c33581(9324973143......) = 675787736620813802732064761 * c33555(1379867174......)

# ECM B1=5e4, sigma=2385983229385088

n=69668: c34826(1652520133......) = 3853015706766972326489 * c34804(4288900588......)

# ECM B1=5e4, sigma=4491146359946793

n=69854: c34185(1501630929......) = 1461632150402619449 * c34167(1027365831......)

# ECM B1=5e4, sigma=3083560112093947

n=69910: c27926(3351293809......) = 7750908190425703571 * c27907(4323743395......)

# ECM B1=5e4, sigma=1133565166119850

# 210839 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210839 個の Φ_n(10) の素因数が見つかりました。

September 19, 2023 2023 年 9 月 19 日 (Alfred Reich)

# via Kurt Beschorner

n=50034: c16057(2038858074......) = 2187228504311588779 * c16038(9321650986......)

# ECM B1=5e4, sigma=1193540376177344

n=50052: c16128(9901000000......) = 33772274748152062818109 * c16106(2931694732......)

# ECM B1=5e4, sigma=2061782352105711

n=50080: c19935(4960790620......) = 2492471094128056961 * c19917(1990310191......)

# ECM B1=5e4, sigma=1432956364098814

n=50124: c16676(4473681956......) = 381354996923855309401 * c16656(1173101701......)

# ECM B1=5e4, sigma=566954679066953

n=50164: c25069(6564583891......) = 1723327333485355622449 * c25048(3809249562......)

# ECM B1=5e4, sigma=5408308678065285

n=50178: c16719(1042858904......) = 3147826592650354448641 * c16697(3312949025......)

# ECM B1=5e4, sigma=4518528624605245

n=50240: c19945(1795118913......) = 620361415879276581761 * c19924(2893666285......)

# ECM B1=5e4, sigma=3415019885354006

n=50252: c23602(1133438753......) = 1280822271342471474181 * c23580(8849305475......)

# ECM B1=5e4, sigma=899139471062899

n=50264: c24469(5838044821......) = 58728051573085469593 * c24449(9940811358......)

# ECM B1=5e4, sigma=1789072987454072

n=50282: c24280(4214515767......) = 1574222439845966804437 * c24259(2677204733......)

# ECM B1=5e4, sigma=5393344022415007

n=50284: c23167(5736248980......) = 35795038431402172212889 * c23145(1602526280......)

# ECM B1=5e4, sigma=2646208114063991

n=50302: c21535(8184525446......) = 24622126009495347131 * c21516(3324053106......)

# ECM B1=5e4, sigma=7680738707603176

n=50322: c16767(4367460480......) = 1216937550673354729 * c16749(3588894498......)

# ECM B1=5e4, sigma=335797433704046

n=50378: c25188(9090909090......) = 397787749535154179130193903 * c25162(2285366782......)

# ECM B1=5e4, sigma=6011037610432609

n=50408: c25200(9999000099......) = 71640686475810764321 * c25181(1395715283......)

# ECM B1=5e4, sigma=1420279751825550

n=50452: c25182(7735922864......) = 1081731799309269173389 * c25161(7151424105......)

# ECM B1=5e4, sigma=7520340758057762

n=50494: c25219(1560580435......) = 121621923682661384292819451 * c25193(1283140726......)

# ECM B1=5e4, sigma=8229552939964631

n=50496: c16764(1980315662......) = 11013425653496250433 * c16745(1798092368......)

# ECM B1=5e4, sigma=3111493837126718

n=50532: c16841(1009998990......) = 699327143961719581549 * c16820(1444243940......)

# ECM B1=5e4, sigma=6626997802790427

n=50568: c14096(3985663244......) = 22699375082916256537 * c14077(1755847123......)

# ECM B1=5e4, sigma=6499883693108159

n=50618: c25286(6276690413......) = 345746084496265089814789609 * c25260(1815404626......)

# ECM B1=5e4, sigma=776738248594411

n=50688: c15361(1000000000......) = 3493679705656183297 * c15342(2862311614......)

# ECM B1=5e4, sigma=1533020923975827

n=50692: c22163(1515379309......) = 146187478915827607561 * c22143(1036599933......)

# ECM B1=5e4, sigma=4256382502674968

n=50716: c24481(1009999999......) = 676718689254185342069 * c24460(1492496093......)

# ECM B1=5e4, sigma=4322830553813226

n=50770: c20292(4970788402......) = 53713841593857757891 * c20272(9254203861......)

# ECM B1=5e4, sigma=4554020062997832

n=50788: c25379(4818452146......) = 174706757922512139007141 * c25356(2758022759......)

# ECM B1=5e4, sigma=2256175571424556

n=50790: c13530(1739523157......) = 1027560058279873171 * c13512(1692867627......)

# ECM B1=5e4, sigma=4788954702823293

n=50876: c20560(2604546267......) = 63166780653985130136869 * c20537(4123284803......)

# ECM B1=5e4, sigma=1737160594792494

n=50898: c15936(9100000000......) = 12949057542462524641 * c15917(7027538467......)

# ECM B1=5e4, sigma=8799289544908815

n=50990: c20379(4874356895......) = 7196990797024524121 * c20360(6772770777......)

# ECM B1=5e4, sigma=4605887354833510

n=51012: c15539(7015039699......) = 35898632529822925201 * c15520(1954124490......)

# ECM B1=5e4, sigma=6673969916389492

n=51052: c25499(6226502563......) = 59309606408044477684921 * c25477(1049830363......)

# ECM B1=5e4, sigma=1816355224823731

n=51084: c15120(9999999999......) = 490463308011251608721031999601 * c15091(2038888503......)

# ECM B1=5e4, sigma=853040489121883

n=51132: c17041(1009998990......) = 3360748827391799101 * c17022(3005279602......)

# ECM B1=5e4, sigma=4195000422640832

n=51268: c21961(1009999999......) = 95587912043747547079069 * c21938(1056618957......)

# ECM B1=5e4, sigma=5728027098310441

n=51378: c17109(1698296785......) = 4843573926336127921 * c17090(3506288560......)

# ECM B1=5e4, sigma=8963519394451855

n=51388: c24738(5760279070......) = 6912182869476150901 * c24719(8333516603......)

# ECM B1=5e4, sigma=3096106675305642

n=51508: c25255(1293224018......) = 59358728962481435141 * c25235(2178658541......)

# ECM B1=5e4, sigma=4442429509727196

n=51676: c25836(9900990099......) = 252737038932212527909 * x25816(3917506567......)

# ECM B1=5e4, sigma=6840101619379441

n=51676: x25816(3917506567......) = 28143690110011155181 * c25797(1391966210......)

# ECM B1=5e4, sigma=7395029334457890

n=51844: c23897(7887255047......) = 180519658704184277869 * c23877(4369194526......)

# ECM B1=5e4, sigma=2427970615514461

n=51988: c25281(1009999999......) = 3921509758074872801 * c25262(2575538663......)

# ECM B1=5e4, sigma=5641085905864174

n=52036: c26016(9900990099......) = 7032532636603566546089 * c25995(1407883988......)

# ECM B1=5e4, sigma=2181287160152490

n=52084: c25078(8634866652......) = 1371358625686822021 * x25060(6296578072......)

# ECM B1=5e4, sigma=4618344961436498

n=52084: x25060(6296578072......) = 4985683473046905971609 * c25039(1262931773......)

# ECM B1=5e4, sigma=41040146961802

n=52276: c22384(2627570984......) = 3355120181865484372229 * c22362(7831525673......)

# ECM B1=5e4, sigma=5421825733323400

n=52428: c16384(9901000000......) = 10722227880998832010249 * x16362(9234088390......)

# ECM B1=5e4, sigma=5672042741854043

n=52428: x16362(9234088390......) = 27810179348468387437321 * c16340(3320398719......)

# ECM B1=25e4, sigma=5121087746834456

n=52524: c17486(1181370688......) = 6091136268729354001 * c17467(1939491478......)

# ECM B1=5e4, sigma=5004249831070873

n=52612: c22519(1046412652......) = 41570586987710659621 * c22499(2517194797......)

# ECM B1=5e4, sigma=5324635243677265

n=52638: c16902(2618875979......) = 1407617614306625809 * c16884(1860502420......)

# ECM B1=5e4, sigma=1179853488666521

n=52644: c16945(4237275254......) = 1068440589250874848501 * c16924(3965850134......)

# ECM B1=5e4, sigma=2513103198391375

n=52836: c13810(3842246562......) = 34130084602223197729 * c13791(1125765320......)

# ECM B1=5e4, sigma=128996616343032

n=52852: c25889(1238575824......) = 5419404684760559021 * c25870(2285446274......)

# ECM B1=5e4, sigma=6241643528414736

n=53062: c25851(8395251344......) = 99328784532174237317 * c25831(8451982357......)

# ECM B1=5e4, sigma=7634388792581544

n=53084: c25315(2107371236......) = 43349522989944913561 * c25295(4861348155......)

# ECM B1=5e4, sigma=1975990503651633

n=53106: c17242(5703364490......) = 60958516862707775131 * c17222(9356140510......)

# ECM B1=5e4, sigma=8255596092622689

n=53124: c16704(9901000000......) = 211850397433116788641 * c16684(4673581036......)

# ECM B1=5e4, sigma=1724712837447492

n=53148: c17132(1862876065......) = 3104434162507413529 * c17113(6000694387......)

# ECM B1=5e4, sigma=3787193200698395

n=53196: c14393(1474097103......) = 22846797509273620741 * c14373(6452095103......)

# ECM B1=5e4, sigma=2420469388383796

n=53266: c26603(4974153689......) = 69863151021158903256967 * c26580(7119853050......)

# ECM B1=5e4, sigma=6911599323265008

n=53692: c25897(1300846378......) = 3651447167499965129 * c25878(3562550186......)

# ECM B1=5e4, sigma=6559303047307419

n=54026: c21671(6615370375......) = 1890260454119959517 * c21653(3499713683......)

# ECM B1=5e4, sigma=6500162483919519

n=54076: c24547(4651715194......) = 916013451973902824389 * c24526(5078217120......)

# ECM B1=5e4, sigma=194207624814349

n=54102: c17640(9100000000......) = 203027400559876048423 * c17620(4482153627......)

# ECM B1=5e4, sigma=7630069750117583

n=54244: c26587(1103379993......) = 6680731443818895542140361 * c26562(1651585613......)

# ECM B1=5e4, sigma=8235226353881553

n=54252: c16288(7806717807......) = 1672455887900641009 * c16270(4667816870......)

# ECM B1=5e4, sigma=7069243483518873

n=54348: c15504(9901000000......) = 52199642745896503369 * c15485(1896756276......)

# ECM B1=5e4, sigma=257889881158844

n=54394: c27180(3818254195......) = 1431049617397170525400903 * c27156(2668149412......)

# ECM B1=5e4, sigma=885250329558871

n=54516: c13914(2537896970......) = 2824686099677208229 * c13895(8984704428......)

# ECM B1=5e4, sigma=1441623213131414

n=54652: c25183(2223113778......) = 1899309402679371000963529 * c25159(1170485322......)

# ECM B1=5e4, sigma=5146383708870125

n=54662: c27001(1099999999......) = 1613736541021999997 * c26982(6816478229......)

# ECM B1=5e4, sigma=7699725752352419

n=54748: c27365(6130393114......) = 38040859547599980290909 * c27343(1611528547......)

# ECM B1=5e4, sigma=866758842129970

n=54888: c18289(1000099999......) = 1414966786983527708209 * c18267(7068010423......)

# ECM B1=5e4, sigma=5593640946148381

n=54960: c14564(2045620519......) = 1029653435581049281 * c14546(1986707807......)

# ECM B1=5e4, sigma=7166522832416627

n=55138: c26062(8918227964......) = 317727054633784618807 * c26042(2806883403......)

# ECM B1=5e4, sigma=542973846499291

n=55310: c22114(3370796536......) = 1308303534748375116811 * c22093(2576463677......)

# ECM B1=5e4, sigma=8899530617481204

n=55388: c27102(7168035174......) = 246807290952042416741 * c27082(2904304466......)

# ECM B1=5e4, sigma=3267408776876874

n=55396: c25161(1009999999......) = 612398311673124807029 * c25140(1649253403......)

# ECM B1=5e4, sigma=1999253926937138

n=55428: c17749(1599771179......) = 64416431523699967741 * c17729(2483483082......)

# ECM B1=5e4, sigma=2385528427800437

n=55624: c26105(1168268282......) = 10626349895849171521 * c26086(1099406939......)

# ECM B1=5e4, sigma=2315585793167838

n=55714: c27427(6508868281......) = 2679891676360158228379 * c27406(2428780364......)

# ECM B1=5e4, sigma=5218109580462844

n=55772: c27361(1009999999......) = 33808395856825473229 * x27341(2987423610......)

# ECM B1=5e4, sigma=4102901479498613

n=55772: x27341(2987423610......) = 21524152563400774109 * c27322(1387940176......)

# ECM B1=5e4, sigma=7002065010459872

n=55796: c24192(9900990099......) = 284767611521561357489 * c24172(3476866644......)

# ECM B1=5e4, sigma=3815845418297602

n=55828: c26236(1809095631......) = 85923911575819234279561 * x26213(2105462377......)

# ECM B1=5e4, sigma=6955835975376669

n=55828: x26213(2105462377......) = 301307778452900661049 * c26192(6987746509......)

# ECM B1=5e4, sigma=2854769602728072

n=55916: c23945(5116942658......) = 322417471925357114041 * c23925(1587055015......)

# ECM B1=5e4, sigma=1668806745093921

n=55932: c18065(3524209582......) = 38645173305330240469 * c18045(9119404265......)

# ECM B1=5e4, sigma=688657454968727

n=55964: c26292(7157845692......) = 2990596187017013629 * c26274(2393451086......)

# ECM B1=5e4, sigma=8712197782221285

n=55972: c23977(1009999999......) = 1756182415143895649 * c23958(5751110996......)

# ECM B1=5e4, sigma=2940692080938215

n=56042: c24007(6542672444......) = 1826284623461858517652566607 * c23980(3582504260......)

# ECM B1=5e4, sigma=3910813966014709

n=56052: c18563(1053364950......) = 1690074460948290589 * c18544(6232654090......)

# ECM B1=5e4, sigma=7861282329171326

n=56102: c28050(9090909090......) = 3748120170381234191909201 * c28026(2425458277......)

# ECM B1=5e4, sigma=8802497040956520

n=56244: c18136(4984047398......) = 264863804643163279946954761 * c18110(1881739713......)

# ECM B1=5e4, sigma=1270024151243757

n=56292: c18749(3964894934......) = 200951852513809656218756449 * c18723(1973057170......)

# ECM B1=5e4, sigma=8686608024544748

n=56472: c17274(8853052173......) = 3951212328095867017 * p17256(2240591352......)

# ECM B1=5e4, sigma=2062452172688251

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"(10^12+1)*(10^52+1)*(10^724+1)*(10^28236+1)/10001/(10^156+1)/(10^2172+1)/(10^9412+1)/1129441/3951212328095867017"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^12+1)*(10^52+1)*(10^724+1)*(10^28236+1)/10001/(10^156+1)/(10^2172+1)/(10^9412+1)/1129441/3951212328095867017 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)

Calling N-1 BLS with factored part 0.05% and helper 0.02% (0.17% proof)
(10^12+1)*(10^52+1)*(10^724+1)*(10^28236+1)/10001/(10^156+1)/(10^2172+1)/(10^9412+1)/1129441/3951212328095867017 is Fermat and Lucas PRP! (12.1768s+0.0036s)

n=56492: c27202(7737523985......) = 46186177960640152969 * c27183(1675289951......)

# ECM B1=5e4, sigma=6005494475738414

n=56596: c28288(7031411407......) = 38478720584356371961 * c28269(1827350624......)

# ECM B1=5e4, sigma=2773606178222893

n=56648: c27609(1600626663......) = 156022690796681543921 * c27589(1025893512......)

# ECM B1=5e4, sigma=3245296257423206

n=56772: c17712(9999990000......) = 1474401024992661771349 * c17691(6782408469......)

# ECM B1=5e4, sigma=61391156323171

n=56796: c18923(1367915430......) = 370852055429975410690681 * c18899(3688574487......)

# ECM B1=5e4, sigma=3904128479433782

n=56804: c25801(1009999999......) = 2040341504725594181 * c25782(4950151715......)

# ECM B1=5e4, sigma=4643610958472167

n=56808: c18865(1000000000......) = 5400619775320713193 * c18846(1851639333......)

# ECM B1=5e4, sigma=5116101435308022

n=56836: c26180(1164444041......) = 2711995380784348829 * c26161(4293680033......)

# ECM B1=5e4, sigma=1137079884618966

n=56844: c18901(1024111349......) = 635114429608099600526908501 * c18874(1612483202......)

# ECM B1=5e4, sigma=6844899122040347

n=56868: c16217(3001809301......) = 136020787862490068453758501 * c16191(2206875396......)

# ECM B1=5e4, sigma=5811461095945843

n=56910: c12934(1438585195......) = 4339683671101218721 * c12915(3314954049......)

# ECM B1=5e4, sigma=6027304941944527

n=56988: c18985(1000000999......) = 95407282761071253481 * c18965(1048139063......)

# ECM B1=5e4, sigma=4734351358832505

n=56996: c28490(8685680936......) = 17999400867150588352694749 * c28465(4825538916......)

# ECM B1=5e4, sigma=5771702712157076

n=57076: c26991(9253623363......) = 43702823534507346761 * c26972(2117397141......)

# ECM B1=5e4, sigma=42652911387634

n=57132: c18205(1529890623......) = 509735742338229867469 * x18184(3001340687......)

# ECM B1=5e4, sigma=362579751849063

n=57132: x18184(3001340687......) = 8942585345991524629 * c18165(3356233763......)

# ECM B1=5e4, sigma=936112021682303

n=57164: c27569(4788026419......) = 25906678095198757921 * c27550(1848182311......)

# ECM B1=5e4, sigma=8102080421053132

n=57168: c18994(9102853578......) = 1821946544095781128609 * c18973(4996224289......)

# ECM B1=5e4, sigma=6445529215823429

n=57182: c28562(2660347183......) = 479644414310352782862420983 * c28535(5546498832......)

# ECM B1=5e4, sigma=5633038885008730

n=57236: c27833(5549130712......) = 297752456603150355951869 * c27810(1863672520......)

# ECM B1=5e4, sigma=6465396506389833

n=57320: c22900(2062068061......) = 1121102477243173747681 * c22879(1839321652......)

# ECM B1=5e4, sigma=1364747048481241

n=57332: c26018(3635601905......) = 2988841756900734029681 * c25997(1216391566......)

# ECM B1=5e4, sigma=5612931212563394

n=57404: c28212(1287823411......) = 98540761093219743709 * c28192(1306894119......)

# ECM B1=5e4, sigma=1270236451726597

n=57432: c19137(1000099999......) = 6092624475841495177 * c19118(1641492929......)

# ECM B1=5e4, sigma=151232841847327

n=57564: c17259(1579710818......) = 108066061964673643429 * c17239(1461801041......)

# ECM B1=5e4, sigma=5522033624536163

n=57612: c19190(2148031585......) = 49266325742795582089 * c19170(4360040155......)

# ECM B1=5e4, sigma=7878251018836245

n=57908: c27946(4951225195......) = 4502224612547811169 * c27928(1099728605......)

# ECM B1=5e4, sigma=8271460272445726

n=57910: c23154(1085417166......) = 9018585285453310561 * c23135(1203533738......)

# ECM B1=5e4, sigma=368325639181828

n=57988: c23311(1037906075......) = 1363405389564408821 * c23292(7612600652......)

# ECM B1=5e4, sigma=5056722121244756

n=58012: c28941(1030179256......) = 781266779478359176648081 * x28917(1318601128......)

# ECM B1=5e4, sigma=2086381194439794

n=58012: x28917(1318601128......) = 24583787216274025079629 * c28894(5363702169......)

# ECM B1=5e4, sigma=5996678742330345

n=58052: c27721(1009999999......) = 3964293336340649215909 * c27699(2547742849......)

# ECM B1=5e4, sigma=3825421752603365

n=58128: c16503(1285948047......) = 32242262752117314002401 * c16480(3988392680......)

# ECM B1=5e4, sigma=4413030515665746

n=58156: c23751(2211081004......) = 2834815085215192129 * c23732(7799736272......)

# ECM B1=5e4, sigma=5146538793586131

n=58196: c29089(3658748202......) = 405928927219824998298521 * c29065(9013272908......)

# ECM B1=5e4, sigma=697092679258266

n=58204: c29080(2874799841......) = 4332571072044739429 * c29061(6635320677......)

# ECM B1=5e4, sigma=1550854162232456

n=58292: c25056(9900990099......) = 9687733330917786686569 * c25035(1022013071......)

# ECM B1=5e4, sigma=2866293899395943

n=58372: c29166(7215495334......) = 3978486029326319760341 * c29145(1813628420......)

# ECM B1=5e4, sigma=5871681190099986

n=58388: c26503(6078286919......) = 3715870910206918700249 * c26482(1635763745......)

# ECM B1=5e4, sigma=7307748007593488

n=58432: c26234(2112827971......) = 7446702534150868033 * c26215(2837266510......)

# ECM B1=5e4, sigma=4825791358194957

n=58508: c29235(1228943021......) = 2704620104869558805669 * c29213(4543865586......)

# ECM B1=5e4, sigma=2944928847645152

n=58612: c29283(8044579318......) = 17903588358482759337109 * x29261(4493277636......)

# ECM B1=5e4, sigma=4018325549535490

n=58612: x29261(4493277636......) = 292338339354767502989 * c29241(1537012779......)

# ECM B1=5e4, sigma=2419790409139396

n=58662: c19522(5746675110......) = 10124429310583758757 * c19503(5676048431......)

# ECM B1=5e4, sigma=1931445643219814

n=58684: c27579(2458683168......) = 361777397044269925979569 * c27555(6796121560......)

# ECM B1=5e4, sigma=267782539124332

n=58756: c28513(1009999999......) = 292100721610537282789 * c28492(3457711416......)

# ECM B1=5e4, sigma=8922286677153513

n=58828: c22786(9177647483......) = 648823649388160544761 * c22766(1414505696......)

# ECM B1=5e4, sigma=7620879448069195

n=58944: c19579(8482555624......) = 18802582702398156280513 * c19557(4511377909......)

# ECM B1=5e4, sigma=4317899765329162

n=59044: c28449(1009999999......) = 77294667696955033491528749 * c28423(1306687809......)

# ECM B1=5e4, sigma=8991388874503369

n=59066: c25271(2428325515......) = 32048853971688222887 * c25251(7576949607......)

# ECM B1=5e4, sigma=6264466998291167

n=59108: c25321(1009999999......) = 2778538123894702009 * c25302(3635005009......)

# ECM B1=5e4, sigma=1002473860381928

n=59188: c29584(3754890278......) = 3643666218820100047369 * c29563(1030525315......)

# ECM B1=5e4, sigma=8215831069578527

n=59200: c23041(1000000000......) = 368546552164045833601 * c23020(2713361430......)

# ECM B1=5e4, sigma=4061438245960433

n=59316: c19769(1009998990......) = 83426802731245196149 * c19749(1210640893......)

# ECM B1=5e4, sigma=7762252416417890

n=59328: c19575(3122535693......) = 326256190690771377217 * c19554(9570809023......)

# ECM B1=5e4, sigma=3227960940241697

n=59348: c28801(1009999999......) = 407346935718197881661 * c28780(2479458936......)

# ECM B1=5e4, sigma=828101851889731

n=59356: c25188(1332509594......) = 134469016177769853361 * c25167(9909417296......)

# ECM B1=5e4, sigma=6324386592147164

n=59376: c19752(5223049159......) = 232974450357176929674673 * c19729(2241897835......)

# ECM B1=5e4, sigma=2411558260453056

n=59428: c29171(3682726159......) = 205647326319283519499021 * c29148(1790797004......)

# ECM B1=5e4, sigma=5824124488643419

n=59444: c23003(8832247461......) = 244287764594616767641 * c22983(3615509551......)

# ECM B1=5e4, sigma=3108396661743318

n=59452: c29189(1922442613......) = 5293376049338304406781 * c29167(3631789231......)

# ECM B1=5e4, sigma=2461348135496220

n=59502: c19320(9100000000......) = 1967890012577021602477 * c19299(4624242179......)

# ECM B1=5e4, sigma=3519723697387393

n=59532: c17600(9999999999......) = 1146795912542819039161 * c17579(8719947368......)

# ECM B1=5e4, sigma=4528852704956752

n=59556: c16969(4741480668......) = 7740920191919286994274834581 * c16941(6125215802......)

# ECM B1=5e4, sigma=6213377433009093

n=59644: c25900(6665004491......) = 28840845002320028861 * c25881(2310960199......)

# ECM B1=5e4, sigma=6780870890781963

n=59696: c23040(9999999900......) = 1530969266565473281 * c23022(6531809696......)

# ECM B1=5e4, sigma=2499463176959422

n=59736: c18720(9999000100......) = 32723499416073142153 * c18701(3055602328......)

# ECM B1=5e4, sigma=132181564694692

n=59796: c17991(3610975304......) = 1370039183780932369 * c17973(2635673013......)

# ECM B1=5e4, sigma=8283853777419140

n=59884: c27182(2477254906......) = 15888755938645308401 * c27163(1559124525......)

# ECM B1=5e4, sigma=7729403560173482

n=59938: c28614(3341941652......) = 7617768588318041971 * c28595(4387034882......)

# ECM B1=5e4, sigma=8646368406360672

n=59948: c25660(7336315197......) = 44748494178626365409553769 * c25635(1639455211......)

# ECM B1=5e4, sigma=8204381158010489

# 1231 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1231 個の Φ_n(10) の素因数分解が終わりました。

# 210829 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210829 個の Φ_n(10) の素因数が見つかりました。

September 18, 2023 2023 年 9 月 18 日 (Alfred Reich)

# via Kurt Beschorner

n=44002: c18794(6025524199......) = 30727661335757916139 * c18775(1960944614......)

# ECM B1=5e4, sigma=5177454229235437

n=44044: c15817(2376561801......) = 16946763573615253546169 * c15795(1402369125......)

# ECM B1=5e4, sigma=7100410663493401

n=44052: c14663(1532930887......) = 31112420945352772009 * x14643(4927070414......)

# ECM B1=5e4, sigma=3682275286306734

n=44052: x14643(4927070414......) = 506616211331961029521 * c14622(9725449569......)

# ECM B1=5e4, sigma=7846142708865654

n=44136: c14689(1000000000......) = 412819555010413417921 * c14668(2422365868......)

# ECM B1=5e4, sigma=7396671865035995

n=44156: c17683(9122738561......) = 246977553937394374361 * c17663(3693752090......)

# ECM B1=5e4, sigma=5804614918449383

n=44252: c18995(2828556139......) = 2410096672408955961787409 * c18971(1173627668......)

# ECM B1=5e4, sigma=1785275630365498

n=44348: c22164(1895218539......) = 28385350143819271649 * c22144(6676748850......)

# ECM B1=5e4, sigma=6510342748227193

n=44360: c17699(1116204050......) = 7946840571600360345761 * c17677(1404588453......)

# ECM B1=5e4, sigma=1770458990034729

n=44388: c14654(3513593870......) = 239836167100604033005609 * c14631(1464997507......)

# ECM B1=5e4, sigma=4851227707022983

n=44924: c20401(1009999999......) = 30325829730565244958721 * x20378(3330494199......)

# ECM B1=5e4, sigma=8918113284970016

n=44924: x20378(3330494199......) = 86393439065822121033901 * c20355(3855031394......)

# ECM B1=5e4, sigma=7400807253370962

n=45068: c21306(5465992058......) = 17686763501016164869 * c21287(3090442215......)

# ECM B1=5e4, sigma=2805086827052663

n=45164: c19331(1478939749......) = 11650277408543610901 * c19312(1269445951......)

# ECM B1=5e4, sigma=2459499953939056

n=45166: c20499(3821306479......) = 5765895496593674773 * c20480(6627429307......)

# ECM B1=5e4, sigma=75975786739182

n=45196: c22577(2353485261......) = 16227497715089590613891609 * c22552(1450306943......)

# ECM B1=5e4, sigma=3835608788646524

n=45286: c22642(9090909090......) = 1359252215852534281382746583 * c22615(6688169410......)

# ECM B1=5e4, sigma=7040450648488170

n=45292: c20593(1000000000......) = 42785720423180810609 * c20573(2337228379......)

# ECM B1=5e4, sigma=6747506064645370

n=45372: c14246(9045729935......) = 6549112087383431760889 * x14225(1381214707......)

# ECM B1=5e4, sigma=7375564712050346

n=45372: x14225(1381214707......) = 28260054468161786860129 * x14202(4887516083......)

# ECM B1=5e4, sigma=1476736214322854

n=45372: x14202(4887516083......) = 1756643141720210914916701 * c14178(2782304480......)

# ECM B1=5e4, sigma=52514686619329

n=45428: c22081(1009999999......) = 29601824442173083554029 * c22058(3411951861......)

# ECM B1=5e4, sigma=6241403446606413

n=45482: c22735(6662593601......) = 225404230317922122197837 * c22712(2955842306......)

# ECM B1=5e4, sigma=2816069631551975

n=45556: c19505(1199703200......) = 103701485228057934869 * c19485(1156881406......)

# ECM B1=5e4, sigma=2219088807819908

n=45588: c14556(2171795827......) = 38710958428421044561 * c14536(5610286895......)

# ECM B1=5e4, sigma=1816404035479700

n=45628: c19189(5895349741......) = 8359965042793090150909 * c19167(7051883244......)

# ECM B1=5e4, sigma=8278337919972163

n=45676: c21595(1228457896......) = 51453820540880242829 * c21575(2387495978......)

# ECM B1=5e4, sigma=223979138216947

n=45812: c21121(1009999999......) = 270599990160637315149661 * c21097(3732446551......)

# ECM B1=5e4, sigma=260263817147939

n=45836: c19633(1009999999......) = 110514844210869440021 * c19612(9139043783......)

# ECM B1=5e4, sigma=8499917469083150

n=45852: c15281(1009998990......) = 25351379228886548329 * c15261(3984000163......)

# ECM B1=5e4, sigma=1502125198005161

n=45868: c22928(2158536287......) = 360069534757301253649129 * c22904(5994776229......)

# ECM B1=5e4, sigma=5675124377673410

n=45916: c21169(1009999999......) = 719690462380775640301 * c21148(1403381110......)

# ECM B1=5e4, sigma=2348468499029263

n=45956: c22965(2604464079......) = 167871985627601839589 * c22945(1551458433......)

# ECM B1=5e4, sigma=3112554147893411

n=45960: c12224(9999000100......) = 174516642602573290321 * c12204(5729539573......)

# ECM B1=5e4, sigma=3844586770961743

n=45988: c22964(7653146961......) = 9525521829818625481 * c22945(8034359794......)

# ECM B1=5e4, sigma=3981246774417597

n=46036: c21625(1878369127......) = 20308777137880837222659041 * c21599(9249050862......)

# ECM B1=5e4, sigma=4692689644764469

n=46108: c23045(8589389468......) = 1243203135821698015981 * c23024(6909079635......)

# ECM B1=5e4, sigma=157507580368248

n=46124: c21237(1172377614......) = 2561659654074293449 * c21218(4576633015......)

# ECM B1=5e4, sigma=933674474477627

n=46332: c12931(4647973605......) = 362586397219991390161 * c12911(1281894092......)

# ECM B1=5e4, sigma=1323370456029007

n=46348: c23156(2203406661......) = 82127132592103227193161061 * c23130(2682921699......)

# ECM B1=5e4, sigma=6023194634270759

n=46388: c23185(2132253769......) = 2371145024166249685049 * c23163(8992506776......)

# ECM B1=5e4, sigma=4257625037763282

n=46412: c22549(6176698196......) = 197982286941476813249 * c22529(3119823642......)

# ECM B1=5e4, sigma=2025018701646412

n=46428: c14962(1006295922......) = 51379320453571141069 * c14942(1958562149......)

# ECM B1=5e4, sigma=8195340637455865

n=46436: c19861(1070307444......) = 442614479723625772369 * x19840(2418148283......)

# ECM B1=5e4, sigma=3596254024045967

n=46436: x19840(2418148283......) = 3526480400963254005389 * c19818(6857115334......)

# ECM B1=5e4, sigma=835150862001232

n=46628: c23306(1415599880......) = 164193445432060798520821 * c23282(8621537094......)

# ECM B1=5e4, sigma=7841867299354990

n=46662: c11977(1396539247......) = 35763579157683097637533 * c11954(3904920257......)

# ECM B1=5e4, sigma=748525870243774

n=46668: c15553(1009998990......) = 1968079768001377044169 * c15531(5131900680......)

# ECM B1=5e4, sigma=5852651152808461

n=46684: c21186(1805686235......) = 16919694596718455741 * c21167(1067209709......)

# ECM B1=5e4, sigma=4397463784324687

n=46846: c22961(3081521396......) = 7697203901888142449 * c22942(4003429603......)

# ECM B1=5e4, sigma=7846333554763840

n=46884: c15615(1845151171......) = 9769665560279110746661 * c15593(1888653362......)

# ECM B1=5e4, sigma=6133360041843533

n=46996: c22646(7366884104......) = 24772405730750074261 * c22627(2973826678......)

# ECM B1=5e4, sigma=4384701650150592

n=47044: c22241(4824553211......) = 1036585008884526641 * c22223(4654276465......)

# ECM B1=5e4, sigma=6233452020430242

n=47064: c14976(9999000100......) = 278057391944741883017353 * c14953(3596020242......)

# ECM B1=5e4, sigma=4578937351315051

n=47092: c23041(1009999999......) = 14593866786529001729 * c23021(6920715494......)

# ECM B1=5e4, sigma=2136335301397495

n=47148: c15708(2142142972......) = 56846846546077128529 * c15688(3768270541......)

# ECM B1=5e4, sigma=6075950925850485

n=47172: c15721(1009998990......) = 2070562935619006510249 * c15699(4877895632......)

# ECM B1=5e4, sigma=8376617035011207

n=47188: c22983(2244968204......) = 16508331557888709629 * c22964(1359900118......)

# ECM B1=5e4, sigma=1448303247633804

n=47196: c14231(2038363680......) = 47074536727857687421 * c14211(4330076984......)

# ECM B1=5e4, sigma=1214755079072773

n=47236: c20155(7056714816......) = 1536822929404926607109 * c20134(4591755290......)

# ECM B1=5e4, sigma=6470088128090704

n=47252: c23605(1761404814......) = 615336832982588371301 * c23584(2862505086......)

# ECM B1=5e4, sigma=3233543737065

n=47388: c14308(4458300462......) = 53170643637759168709 * c14288(8384890905......)

# ECM B1=5e4, sigma=2604816193500612

n=47412: c15769(1000000000......) = 6764186250639958681 * c15750(1478374431......)

# ECM B1=5e4, sigma=8824893931656334

n=47484: c15796(6774052749......) = 3076151531110894981 * c15778(2202119330......)

# ECM B1=5e4, sigma=2705731981207930

n=47492: c22921(1009999999......) = 816201734313298105554989 * c22897(1237439174......)

# ECM B1=5e4, sigma=7628488658261621

n=47508: c15238(1060491131......) = 42512297229894670034209 * c15215(2494551461......)

# ECM B1=5e4, sigma=1941697268510067

n=47516: c20340(7496915045......) = 484599411465643144760353601 * c20314(1547033460......)

# ECM B1=5e4, sigma=1106321659869312

n=47556: c15829(5373544520......) = 3135083842296324098749 * c15808(1714003449......)

# ECM B1=5e4, sigma=3802753179467233

n=47592: c15817(8881779471......) = 88394380802325338617 * c15798(1004790054......)

# ECM B1=5e4, sigma=7031581688826982

n=47612: c23804(9900990099......) = 421890151904052030427201 * c23781(2346817069......)

# ECM B1=5e4, sigma=8825344701309024

n=47676: c15219(2880894990......) = 1653326190680388061 * c15201(1742484336......)

# ECM B1=5e4, sigma=931033013272829

n=47708: c23847(3458873253......) = 439590345527499871009 * x23826(7868401316......)

# ECM B1=5e4, sigma=2294081097832621

n=47708: x23826(7868401316......) = 146500561463803704842921 * c23803(5370901816......)

# ECM B1=5e4, sigma=4124879551467708

n=47804: c20709(2474887013......) = 949161373404169254937121 * c20685(2607445986......)

# ECM B1=5e4, sigma=3974350545234189

n=47806: c20783(2449800929......) = 141576219576621127409 * c20763(1730376002......)

# ECM B1=5e4, sigma=1783715106280100

n=47812: c23894(3108312687......) = 2952531013034928901 * c23876(1052762078......)

# ECM B1=5e4, sigma=7601924720761839

n=48022: c22148(2290569102......) = 3957586465238566681 * c22129(5787792945......)

# ECM B1=5e4, sigma=5957429877377576

n=48188: c20641(1009999999......) = 1281017605425326296949 * x20619(7884356902......)

# ECM B1=5e4, sigma=964511333438085

n=48188: x20619(7884356902......) = 1459788481993136638901626069 * c20592(5401026929......)

# ECM B1=5e4, sigma=4849346644759973

n=48450: c11508(1016916774......) = 359380408676851139283001 * c11484(2829638873......)

# ECM B1=5e4, sigma=539854428491713

n=48468: c13824(9901000000......) = 5075240063111849750869 * x13803(1950843679......)

# ECM B1=5e4, sigma=2958750756905907

n=48468: x13803(1950843679......) = 7224052893297788967469 * c13781(2700483659......)

# ECM B1=5e4, sigma=3105714830935685

n=48476: c24210(2968026605......) = 2390125858610334253061 * c24189(1241786743......)

# ECM B1=5e4, sigma=5813678608760588

n=48548: c23693(1886677087......) = 31990072310375433769 * c23673(5897695600......)

# ECM B1=5e4, sigma=7259006676257733

n=48564: c15120(9999990000......) = 29292898017028549448089 * c15098(3413793334......)

# ECM B1=5e4, sigma=6259914894915681

n=48708: c14385(7933515537......) = 673403048984309950549 * x14365(1178122901......)

# ECM B1=5e4, sigma=8242756367384405

n=48708: x14365(1178122901......) = 1040457386373124781161 * c14344(1132312497......)

# ECM B1=5e4, sigma=3181874772653323

n=49036: c21110(1777674187......) = 2831519240300247901 * x21091(6278163899......)

# ECM B1=5e4, sigma=861614667734069

n=49036: x21091(6278163899......) = 1035764317402486544029 * c21070(6061382685......)

# ECM B1=5e4, sigma=8655324737845203

n=49044: c15840(9901000000......) = 5659334243881596377101 * c15819(1749499070......)

# ECM B1=5e4, sigma=6846454365451439

n=49158: c16351(3484150313......) = 1312039193857869637 * c16333(2655523043......)

# ECM B1=5e4, sigma=2107966863114964

n=49198: c23125(3167497401......) = 8586998245325798477 * c23106(3688713227......)

# ECM B1=5e4, sigma=6270256213533306

n=49222: c24572(5497717624......) = 625651063374056009103197594827063 * c24539(8787194565......)

# ECM B1=5e4, sigma=5075965082042908

n=49268: c24193(1009999999......) = 1544474281219861561 * c24174(6539442011......)

# ECM B1=5e4, sigma=3549642097604486

n=49342: c24663(6748820645......) = 282016659495432911220972847 * c24637(2393057437......)

# ECM B1=5e4, sigma=2592548741465239

n=49348: c22465(1000000000......) = 21126730436477929069 * c22445(4733340083......)

# ECM B1=5e4, sigma=4810250946367322

n=49382: c24669(1678792884......) = 28306260490911335656105303 * c24643(5930818326......)

# ECM B1=5e4, sigma=2446832701992072

n=49418: c24686(1086641796......) = 89394079548760349274080647601 * c24657(1215563493......)

# ECM B1=5e4, sigma=6271950203833782

n=49436: c23233(1009999999......) = 496737940096950672229 * c23212(2033265266......)

# ECM B1=5e4, sigma=4322743360738018

n=49444: c24079(2834213993......) = 109881005744819066689 * c24059(2579348427......)

# ECM B1=5e4, sigma=1697847955771960

n=49572: c15535(9109192837......) = 458831366827975560061 * c15515(1985302988......)

# ECM B1=5e4, sigma=4574435069263322

n=49596: c16521(3377201406......) = 27469042077045465649 * c16502(1229457291......)

# ECM B1=5e4, sigma=6306198339340145

n=49716: c16561(1000000999......) = 1204240371134727961 * c16542(8303998304......)

# ECM B1=5e4, sigma=8430385717474811

n=49788: c16561(1000000000......) = 3144418722331813081 * c16542(3180238029......)

# ECM B1=5e4, sigma=1177433967333228

n=49796: c24354(5337563925......) = 30322328969681077087729 * c24332(1760275053......)

# ECM B1=5e4, sigma=2377463550024356

n=49828: c24873(3997106477......) = 2703704738671516788172609 * c24849(1478381281......)

# ECM B1=5e4, sigma=1335788699946321

n=49868: c19577(5026429062......) = 5119197396112255736281 * c19555(9818783440......)

# ECM B1=5e4, sigma=4866381254533565

n=49908: c16633(1009998990......) = 19155510394365127669 * c16613(5272628967......)

# ECM B1=5e4, sigma=2395360759377460

n=49916: c24935(7451102314......) = 8088240970171011400481 * c24913(9212265487......)

# ECM B1=5e4, sigma=741997343969997

September 17, 2023 2023 年 9 月 17 日 (Kurt Beschorner)

n=965: c733(3210426789......) = 20906515545038135954423417953390729987808761 * c690(1535610648......)

# ECM B1=43e6, sigma=0:5647638498360141

n=5779: c5765(8243430525......) = 850258772271357438601835983824977191 * c5729(9695201971......)

# ECM B1=43e6, sigma=0:7366456298472664

n=5809: c5605(9898701555......) = 35118381793958880899773447489 * c5577(2818666763......)

# ECM B1=43e6, sigma=0:8792706801343080

n=5813: c5793(2142424597......) = 55653684437769198803430469901839 * c5761(3849564712......)

# ECM B1=43e6, sigma=0:6888336768427585

n=5927: c5915(1512376969......) = 3647127410391522655791849312401 * c5884(4146762092......)

# ECM B1=43e6, sigma=2571140117593689

September 16, 2023 2023 年 9 月 16 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=67631: c67608(9041671146......) = 8310161136535617716806551517 * c67581(1088025971......)

# ECM B1=5e4, sigma=0:931225755636366

n=67783: c67761(2365477456......) = 11843303961928165319 * c67742(1997312121......)

# ECM B1=5e4, sigma=6256839300159916

September 15, 2023 2023 年 9 月 15 日 (Alfred Reich)

# via Kurt Beschorner

n=42034: c20990(3765736164......) = 582185202223027262637911681 * c20963(6468278737......)

# ECM B1=5e4, sigma=1834478573418210

n=42058: c19764(1610628134......) = 1215789953231043917 * c19746(1324758549......)

# ECM B1=5e4, sigma=6414169376290197

n=42082: c20586(3075227615......) = 8005224810086345411 * c20567(3841525614......)

# ECM B1=5e4, sigma=4792881648443343

n=42118: c21018(3956301070......) = 125386337050639477234769 * c20995(3155288816......)

# ECM B1=5e4, sigma=520486903724630

n=42126: c11116(6101091784......) = 10205011730604615583 * c11097(5978525009......)

# ECM B1=5e4, sigma=1026803304486244

n=42156: c14026(2973792077......) = 30588930131734967303881 * c14003(9721791721......)

# ECM B1=5e4, sigma=6735693315535726

n=42162: c14021(1638282422......) = 163469906699679177757 * c14001(1002192058......)

# ECM B1=5e4, sigma=7647847330414710

n=42190: c16860(2463991296......) = 165134063719152847352521 * c16837(1492115703......)

# ECM B1=5e4, sigma=1141132049091130

n=42280: c14400(9999000099......) = 2775716804986563761 * c14382(3602312772......)

# ECM B1=5e4, sigma=5467787970156276

n=42284: c18592(1440994844......) = 2098509781661921101 * c18573(6866753049......)

# ECM B1=5e4, sigma=3453067490567852

n=42288: c14066(9727845040......) = 6273821297495960413873 * c14045(1550545445......)

# ECM B1=5e4, sigma=293015703014336

n=42444: c14041(1000000000......) = 23954246603248735023301 * c14018(4174625136......)

# ECM B1=5e4, sigma=4368401350229368

n=42478: c20803(2787320974......) = 160479743537913350693 * c20783(1736867789......)

# ECM B1=5e4, sigma=8470164631913441

n=42482: c19281(1471295066......) = 14227216101184351211 * c19262(1034141223......)

# ECM B1=5e4, sigma=2425142045908986

n=42560: c13824(9999999999......) = 1270824413869357119361 * c13803(7868907687......)

# ECM B1=5e4, sigma=4919129975789656

n=42572: c20476(4226210232......) = 33871067496806415749 * c20457(1247734584......)

# ECM B1=5e4, sigma=252766622025374

n=42642: c13464(9990010000......) = 34034819439251767699 * c13445(2935232260......)

# ECM B1=5e4, sigma=1202456549851698

n=42676: c20793(1009999999......) = 550063793151375390689 * c20772(1836150665......)

# ECM B1=5e4, sigma=6964627146397552

n=42692: c19662(2048406980......) = 31652269228685839969 * c19642(6471595970......)

# ECM B1=5e4, sigma=5589429180064954

n=42706: c21053(6132738896......) = 11452138340464418063 * c21034(5355103749......)

# ECM B1=5e4, sigma=7146242466797972

n=42716: c20873(3182306226......) = 120418720544675977241 * c20853(2642700579......)

# ECM B1=5e4, sigma=3174084121886444

n=42724: c19374(1917913452......) = 912386161855786442591449 * c19350(2102085205......)

# ECM B1=5e4, sigma=2453187627184973

n=42732: c14221(2910895054......) = 15520870851116403649249 * c14199(1875471474......)

# ECM B1=5e4, sigma=8577600905982581

n=42772: c19557(2392695140......) = 1279771603489826347829 * c19536(1869626684......)

# ECM B1=5e4, sigma=8149668873626950

n=42796: c19704(1242157366......) = 2661512841205240049 * c19685(4667110174......)

# ECM B1=5e4, sigma=1159575347946261

n=42828: c13767(1079546365......) = 3641796998127258220489 * x13745(2964323290......)

# ECM B1=5e4, sigma=4629736858047614

n=42828: x13745(2964323290......) = 789609420707832059784541 * c13721(3754164036......)

# ECM B1=5e4, sigma=947488869477895

n=42884: c21001(1009999999......) = 2258160335612059589 * c20982(4472667348......)

# ECM B1=5e4, sigma=6992012159782448

n=42930: c11232(9999999999......) = 2639448935123077531 * c11214(3788669622......)

# ECM B1=5e4, sigma=2383523834174040

n=42948: c14305(1000000999......) = 8675971040290856630761 * c14283(1152609886......)

# ECM B1=5e4, sigma=8029842742092785

n=42964: c20505(1009999999......) = 4343384911917966701 * c20486(2325375301......)

# ECM B1=5e4, sigma=8473639764692718

n=43044: c13431(1031759415......) = 1401598331241280288494691441 * c13403(7361305966......)

# ECM B1=5e4, sigma=6968213903117328

n=43076: c19361(1000000000......) = 59066397285383656829 * c19341(1693009978......)

# ECM B1=5e4, sigma=2319214276671948

n=43108: c19857(1384192760......) = 1269128958520294944391801 * c19833(1090663601......)

# ECM B1=5e4, sigma=6768297666969966

n=43116: c14340(2691588040......) = 143518519113058168561 * c14320(1875429078......)

# ECM B1=5e4, sigma=7963018848853136

n=43188: c13910(3973059795......) = 600600995014104178249 * c13889(6615140215......)

# ECM B1=5e4, sigma=7820257140285663

n=43196: c21596(9900990099......) = 14547527337057010424461169 * c21571(6805960813......)

# ECM B1=5e4, sigma=8436035540262048

n=43204: c18478(1292600024......) = 73596396786555160744129 * c18455(1756336018......)

# ECM B1=5e4, sigma=8136402727523135

n=43244: c20390(2356378959......) = 42621137482493921443409 * c20367(5528662769......)

# ECM B1=5e4, sigma=5581268461659189

n=43252: c19628(8693929693......) = 1101641123982127942049 * c19607(7891798430......)

# ECM B1=5e4, sigma=7627980107894584

n=43268: c20833(1009999999......) = 6337653555651399849181 * c20811(1593649749......)

# ECM B1=5e4, sigma=3843318068450105

n=43276: c20859(2462340251......) = 337790623453972769441 * x20838(7289545892......)

# ECM B1=5e4, sigma=8627271792104161

n=43276: x20838(7289545892......) = 255420776504946072845501 * c20815(2853936156......)

# ECM B1=5e4, sigma=880467240963566

n=43308: c14380(2937271623......) = 1480950518806984609 * c14362(1983369184......)

# ECM B1=5e4, sigma=1335142501160995

n=43316: c16128(9999999999......) = 1298165205825699985223269 * c16104(7703179807......)

# ECM B1=5e4, sigma=1691946554459130

n=43324: c21644(4834197644......) = 2303395383527775062441 * c21623(2098726809......)

# ECM B1=5e4, sigma=4632887484683110

n=43400: c14388(2482912604......) = 302854308763983650801 * c14367(8198373054......)

# ECM B1=5e4, sigma=8796878118062407

n=43444: c21720(9900990099......) = 18525954789258218956361 * c21698(5344388568......)

# ECM B1=5e4, sigma=813917664177797

n=43604: c19790(2139434229......) = 3011246385207827449 * c19771(7104812942......)

# ECM B1=5e4, sigma=2306325852369695

n=43732: c19477(1244942959......) = 5510354034719782644761 * c19455(2259279442......)

# ECM B1=5e4, sigma=1002360758913553

n=43754: c21566(1154579159......) = 5086407757809013771 * c21547(2269930400......)

# ECM B1=5e4, sigma=2720346559253208

n=43824: c13120(9999999900......) = 1506261661537590386881 * c13099(6638952683......)

# ECM B1=5e4, sigma=6736867316052309

n=43946: c18136(3111694803......) = 64688431023975953699 * c18116(4810280222......)

# ECM B1=5e4, sigma=6350865425894441

n=43992: c13222(2698308059......) = 2424377448798627684961 * c13201(1112990083......)

# ECM B1=5e4, sigma=870564521696110

# 210761 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210761 個の Φ_n(10) の素因数が見つかりました。

September 12, 2023 2023 年 9 月 12 日 (Alfred Reich)

# via Kurt Beschorner

n=37090: c14833(1099989000......) = 1381504744930491083724121 * c14808(7962252783......)

# ECM B1=5e4, sigma=91062661038566

n=37092: c11170(4025281898......) = 3611296864077497629 * c11152(1114636112......)

# ECM B1=5e4, sigma=8648560992056407

n=37170: c8353(1000999998......) = 5326742902595644531 * c8334(1879197132......)

# ECM B1=5e4, sigma=2685467613767557

n=37184: c15745(1000000000......) = 6103465311212747521 * c15726(1638413506......)

# ECM B1=5e4, sigma=8294902781608563

n=37212: c10608(9901000000......) = 7281656984914631929 * c10590(1359717990......)

# ECM B1=5e4, sigma=969763321864621

n=37230: c9194(3305075590......) = 18072995349703062451 * x9175(1828737033......)

# ECM B1=5e4, sigma=7715623265778969

n=37230: x9175(1828737033......) = 3048060397137393310441 * c9153(5999674532......)

# ECM B1=5e4, sigma=1171144159703031

n=37308: c12413(5626120092......) = 1828895093457975421 * c12395(3076239918......)

# ECM B1=5e4, sigma=2783876776996125

n=37320: c9920(9999000100......) = 14606169325716685430401 * c9898(6845737494......)

# ECM B1=5e4, sigma=3994079279895430

n=37326: c12410(3356359856......) = 1037750382472813135663 * c12389(3234265111......)

# ECM B1=5e4, sigma=277935586881791

n=37334: c16947(3471143628......) = 100683085207932337847015687 * c16921(3447593626......)

# ECM B1=5e4, sigma=7053006632539633

n=37458: c12468(2972399123......) = 71558775061225550983 * c12448(4153787038......)

# ECM B1=5e4, sigma=6383262867824457

n=37564: c18767(5764250315......) = 66163196059593409429 * c18747(8712170298......)

# ECM B1=5e4, sigma=312508894007095

n=37570: c13056(9999999999......) = 5317638832831185121 * c13038(1880533882......)

# ECM B1=5e4, sigma=5211104508054399

n=37642: c16217(2097388392......) = 80089019770797122935142921 * c16191(2618821404......)

# ECM B1=5e4, sigma=6714121727990105

n=37644: c12531(2172753490......) = 60684665278500182430649 * c12508(3580399562......)

# ECM B1=5e4, sigma=6885892918099725

n=37722: c12573(1098901098......) = 258378263263409425699 * c12552(4253071001......)

# ECM B1=5e4, sigma=6390416891199985

n=37762: c18554(5153730602......) = 1543256662998191503 * c18536(3339516184......)

# ECM B1=5e4, sigma=5313827567846149

n=37764: c12556(2026448180......) = 3127026619925713301221 * c12534(6480431498......)

# ECM B1=5e4, sigma=2799252739149259

n=37772: c15095(3118782996......) = 3146499546329109209 * c15076(9911913066......)

# ECM B1=5e4, sigma=28834724676020

n=37800: c8613(9794583104......) = 258447346441101980240401 * c8590(3789778939......)

# ECM B1=5e4, sigma=8501493344653829

n=37812: c11962(2493790710......) = 3817510451088095401 * c11943(6532505260......)

# ECM B1=5e4, sigma=5973437268855441

n=37844: c18900(4357643032......) = 2643971947420502418589 * c18879(1648142687......)

# ECM B1=5e4, sigma=2707667558432317

n=37868: c18890(3901933232......) = 85348503025813666201 * c18870(4571765285......)

# ECM B1=5e4, sigma=4149300011194817

n=37874: c18248(3199346886......) = 253062353413616322703 * c18228(1264252403......)

# ECM B1=5e4, sigma=1849832353296008

n=37912: c16225(1000099999......) = 110027338077226479281 * c16204(9089559172......)

# ECM B1=5e4, sigma=5781234350707906

n=38022: c12643(3821915667......) = 33506274096972550042093 * c12621(1140656718......)

# ECM B1=5e4, sigma=1304006750844484

n=38064: c11478(2417357164......) = 504486569689462658689 * c11457(4791717578......)

# ECM B1=5e4, sigma=1435650942729830

n=38094: c10872(9100000909......) = 1435060019799582247 * c10854(6341198824......)

# ECM B1=5e4, sigma=2576085537196263

n=38108: c16273(6755841333......) = 944448120178913286358098881 * c16246(7153215925......)

# ECM B1=5e4, sigma=1644777225872931

n=38236: c17161(1000000000......) = 1086172606209266288549 * c17139(9206639849......)

# ECM B1=5e4, sigma=6291274912076602

n=38276: c16386(2145307861......) = 18527920676205203761 * c16367(1157878371......)

# ECM B1=5e4, sigma=7144278453147115

n=38310: c10198(3288423247......) = 89153089874104224841 * c10178(3688512930......)

# ECM B1=5e4, sigma=5881955775976368

n=38480: c13802(2794377716......) = 305000073439998587041 * c13781(9161891947......)

# ECM B1=5e4, sigma=5609036893812658

n=38604: c12856(5124988366......) = 81483834362779008304681 * c12833(6289576830......)

# ECM B1=5e4, sigma=5926472856676445

n=38606: c18990(7740867914......) = 19558035322577711611 * c18971(3957896479......)

# ECM B1=5e4, sigma=2396504528504910

n=38732: c18465(3509022812......) = 112571926822392235922609 * c18442(3117138447......)

# ECM B1=5e4, sigma=5387040554521895

n=38744: c18588(1290634799......) = 1511343120584053320953 * c18566(8539654445......)

# ECM B1=5e4, sigma=5653470430733766

n=38764: c17571(9022881208......) = 4963762005777765829 * c17553(1817750568......)

# ECM B1=5e4, sigma=7424996371726709

n=38804: c19009(1009999999......) = 1303814037309683101 * c18990(7746503497......)

# ECM B1=5e4, sigma=3083597907038672

n=38808: c10080(9999999999......) = 35422460883532539570112129 * c10055(2823067553......)

# ECM B1=5e4, sigma=6886693436201265

n=38828: c18241(1009999999......) = 316957577619118442869 * c18220(3186546311......)

# ECM B1=5e4, sigma=3294304521396794

n=38924: c18851(2967520828......) = 4018990354434871549 * c18832(7383747077......)

# ECM B1=5e4, sigma=5047645798739507

n=38936: c18721(1000099999......) = 2201170834625216297 * c18702(4543491056......)

# ECM B1=5e4, sigma=1125264472488606

n=38994: c12640(4805515131......) = 1509195701721374131807 * c12619(3184156386......)

# ECM B1=5e4, sigma=1729200202379240

n=39004: c16614(1148493474......) = 148647206921164225664628869 * c16587(7726303768......)

# ECM B1=5e4, sigma=3784372326580377

n=39028: c17705(1217807808......) = 61131257767418359489 * c17685(1992119667......)

# ECM B1=5e4, sigma=3672511354004826

n=39052: c17994(1059956936......) = 130107707997985767869 * c17973(8146765112......)

# ECM B1=5e4, sigma=8631685701686891

n=39124: c19547(1286716818......) = 5038042947498066721 * c19528(2554001290......)

# ECM B1=5e4, sigma=2410393638976243

n=39132: c13033(1000000999......) = 720671090442735607561 * c13012(1387596940......)

# ECM B1=5e4, sigma=5121581338816637

n=39148: c19532(1963289541......) = 46551039285648482297821 * c19509(4217498839......)

# ECM B1=5e4, sigma=1256669905808114

n=39264: c13057(1000000000......) = 28654714125695844577 * c13037(3489827173......)

# ECM B1=5e4, sigma=2896490091453140

n=39274: c19287(3990760094......) = 654944401984599112901729 * c19263(6093280715......)

# ECM B1=5e4, sigma=7411059166738950

n=39276: c13081(1000000999......) = 5159323650708920449 * c13062(1938240489......)

# ECM B1=5e4, sigma=685584597110506

n=39278: c19106(7539460053......) = 88154511436463672322623 * c19083(8552551571......)

# ECM B1=5e4, sigma=5419248807061016

n=39326: c16532(1271407320......) = 9813598335784909013875300649 * c16504(1295556713......)

# ECM B1=5e4, sigma=5888116227859222

n=39330: c9465(5063121811......) = 54760748656642389091 * c9445(9245895893......)

# ECM B1=5e4, sigma=7411060043478406

n=39354: c11219(3988847871......) = 71788064949886970329 * c11199(5556422052......)

# ECM B1=5e4, sigma=8400357490965352

n=39396: c11081(2097792323......) = 181665792270905646481 * c11061(1154753625......)

# ECM B1=5e4, sigma=5250050637622247

n=39422: c18833(1099999999......) = 10417955560596093901848503 * c18808(1055869353......)

# ECM B1=5e4, sigma=7131338569398055

n=39458: c19441(1099999999......) = 6563485216277171041 * c19422(1675938870......)

# ECM B1=5e4, sigma=4278067329323134

n=39470: c15773(4202821483......) = 9897709495838000820811 * c15751(4246256656......)

# ECM B1=5e4, sigma=408899916549470

n=39564: c11223(4061296327......) = 269431264970566339789 * c11203(1507358965......)

# ECM B1=5e4, sigma=4914851073033906

n=39622: c17986(1738332186......) = 45187661762719364813 * c17966(3846917762......)

# ECM B1=5e4, sigma=4034450202443987

n=39650: c14395(5044060307......) = 3747324390974093302490651 * c14371(1346043144......)

# ECM B1=5e4, sigma=5239977744701498

n=39676: c15520(3192915883......) = 95191976934365590189 * x15500(3354185916......)

# ECM B1=5e4, sigma=142913354411324

n=39676: x15500(3354185916......) = 134825736379358162506369 * c15477(2487793507......)

# ECM B1=5e4, sigma=8586910656280367

n=39684: c13201(1675555661......) = 2519990729392945076089 * c13179(6649054862......)

# ECM B1=5e4, sigma=7010059233338160

n=39688: c17593(3276532136......) = 1371507306795007009 * c17575(2389000860......)

# ECM B1=5e4, sigma=3839719023432061

n=39824: c18711(8637343962......) = 1120938741675428129 * c18693(7705455830......)

# ECM B1=5e4, sigma=3173562273542956

n=39884: c18097(1000000000......) = 21088852631187069769 * c18077(4741841661......)

# ECM B1=5e4, sigma=1033218828675668

n=40028: c19995(2750166692......) = 2535592494116390399271209 * c19971(1084624875......)

# ECM B1=5e4, sigma=5328293122348429

n=40076: c19475(3879320240......) = 136840927587996299869 * c19455(2834912265......)

# ECM B1=5e4, sigma=3391796599066005

n=40092: c12288(9901000000......) = 1268560772194583638369 * c12267(7804907905......)

# ECM B1=5e4, sigma=5994233099980432

n=40132: c19640(1700940277......) = 1864646853825346020281 * c19618(9122050505......)

# ECM B1=5e4, sigma=2769363828225206

n=40228: c19706(8368956639......) = 2053969778932947113765146621 * c19679(4074527641......)

# ECM B1=5e4, sigma=6111843700583114

n=40324: c18918(8576672069......) = 162360161084999885741 * c18898(5282497881......)

# ECM B1=5e4, sigma=3912267573727486

n=40364: c20142(9678882632......) = 375055315273153466615641 * x20119(2580654703......)

# ECM B1=5e4, sigma=5338496445240211

n=40364: x20119(2580654703......) = 696805910333288042277869861 * c20092(3703548814......)

# ECM B1=5e4, sigma=3479714446409149

n=40372: c20165(7977057255......) = 6952833789561549997580441 * c20141(1147310218......)

# ECM B1=5e4, sigma=4132559774728091

n=40404: c10355(1077841614......) = 67174597214522479501 * c10335(1604537518......)

# ECM B1=5e4, sigma=6500269667892687

n=40468: c19788(3455087365......) = 265187408605455280000140169 * c19762(1302885149......)

# ECM B1=5e4, sigma=8191059549626458

n=40492: c19761(1009999999......) = 7993247229218318201 * c19742(1263566571......)

# ECM B1=5e4, sigma=459794393335696

n=40524: c12210(5775420337......) = 490733073866775354324927229 * c12184(1176896493......)

# ECM B1=5e4, sigma=405407075153812

n=40556: c20257(3422109644......) = 2193399228470254434481 * c20236(1560185487......)

# ECM B1=5e4, sigma=4234949035567829

n=40668: c13522(1156956562......) = 327549387750385269446389 * c13498(3532159135......)

# ECM B1=5e4, sigma=4563360485329100

n=40764: c13088(1860096024......) = 46247522615459601781 * x13068(4022044682......)

# ECM B1=5e4, sigma=8023999763607392

n=40764: x13068(4022044682......) = 27757199410337492327269 * c13046(1449009542......)

# ECM B1=5e4, sigma=691702511726386

n=40948: c19699(7722372997......) = 17148928488312036701 * c19680(4503122748......)

# ECM B1=5e4, sigma=1858455158636354

n=40996: c19858(7482272584......) = 9727199915899703989 * c19839(7692113506......)

# ECM B1=5e4, sigma=6706873678536532

n=41096: c18641(1000099999......) = 6293530509737669353 * c18622(1589092161......)

# ECM B1=5e4, sigma=3292662012770091

n=41130: c10930(6801397459......) = 1040772962264354281 * c10912(6534948260......)

# ECM B1=5e4, sigma=1487640367656798

n=41202: c11633(6602760157......) = 324413460037221561091 * c11613(2035291678......)

# ECM B1=5e4, sigma=65054164299678

n=41268: c12960(9901000000......) = 89022652224608235841 * c12941(1112188836......)

# ECM B1=5e4, sigma=1619799980270040

n=41308: c19691(5632430741......) = 671020676091881255509 * c19670(8393825916......)

# ECM B1=5e4, sigma=7805279456492774

n=41316: c12480(9901000000......) = 358723812058771292793053233621 * c12451(2760062105......)

# ECM B1=5e4, sigma=4447123225250791

n=41328: c11520(9999999999......) = 22518808434571021777 * c11501(4440732301......)

# ECM B1=5e4, sigma=3473574065033921

n=41364: c13740(7506347754......) = 465206295002345081821 * x13720(1613552489......)

# ECM B1=5e4, sigma=3324877679576164

n=41364: x13720(1613552489......) = 148714493335070184786889 * c13697(1085000159......)

# ECM B1=5e4, sigma=136049797123126

n=41532: c13835(4863691256......) = 617224084609978338658729 * c13811(7879944055......)

# ECM B1=5e4, sigma=4741306259553321

n=41548: c17654(1850145554......) = 672690382695405661289 * c17633(2750367185......)

# ECM B1=5e4, sigma=7135889969496835

n=41556: c13833(7623327385......) = 82637851026997579867849 * c13810(9224982609......)

# ECM B1=5e4, sigma=8519571012663016

n=41612: c20384(2286917589......) = 13594618218062880450540601 * c20359(1682222738......)

# ECM B1=5e4, sigma=4113261760864402

n=41638: c20486(8432191225......) = 2460108444280593023 * c20468(3427568912......)

# ECM B1=5e4, sigma=8515923363357847

n=41764: c20368(9818500636......) = 94605857928025734629 * c20349(1037832207......)

# ECM B1=5e4, sigma=4789730073743080

n=41784: c13909(3464226994......) = 33271417632680693329 * c13890(1041202101......)

# ECM B1=5e4, sigma=1364745805642954

n=41804: c17882(7094957048......) = 52053990493943994529 * c17863(1362999643......)

# ECM B1=5e4, sigma=7187137737336263

n=41810: c16128(9091000000......) = 29255172361573916026481 * c16106(3107484682......)

# ECM B1=5e4, sigma=1226823937917655

n=41876: c19133(5187674773......) = 22559843844726117421 * c19114(2299517146......)

# ECM B1=5e4, sigma=990512054660092

# 210746 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210746 個の Φ_n(10) の素因数が見つかりました。

# 20004 of 25997 R_prime factorizations were cracked. 25997 個中 20004 個の R_prime の素因数が見つかりました。

September 11, 2023 2023 年 9 月 11 日 (Alfred Reich)

# via Kurt Beschorner

n=35056: c14957(6887614972......) = 11922010608499634833 * c14938(5777226005......)

# ECM B1=5e4, sigma=5219931429074196

n=35066: c17249(1099999999......) = 81230942377328357527 * c17229(1354163780......)

# ECM B1=5e4, sigma=6671995574460868

n=35112: c8628(6535850631......) = 3895954980061320793 * c8610(1677599116......)

# ECM B1=5e4, sigma=5843264424071078

n=35116: c17540(6419010523......) = 433172474420406284441 * c17520(1481860206......)

# ECM B1=5e4, sigma=6947867864359665

n=35126: c13812(5315970790......) = 7424631899485063834663 * c13790(7159911578......)

# ECM B1=5e4, sigma=5613429108859562

n=35188: c16615(2870021009......) = 118202484524313605261 * x16595(2428054723......)

# ECM B1=5e4, sigma=2173317988567589

n=35188: x16595(2428054723......) = 8153889660935642141449669 * c16570(2977787074......)

# ECM B1=5e4, sigma=8979935151460430

n=35192: c17046(4403194052......) = 3998534069587930594633 * c17025(1101202084......)

# ECM B1=5e4, sigma=4147993897544516

n=35238: c10051(1173834699......) = 1497118102285420903 * c10032(7840628590......)

# ECM B1=5e4, sigma=3707908686726461

n=35248: c17590(2292163997......) = 2868762319549629417553 * c17568(7990079839......)

# ECM B1=5e4, sigma=2300586311995846

n=35264: c16104(1771800670......) = 2948103683601230657 * c16085(6009967288......)

# ECM B1=5e4, sigma=1273926733770125

n=35292: c11008(9901000000......) = 5077085137027492789 * c10990(1950134719......)

# ECM B1=5e4, sigma=6375643426555171

n=35378: c14355(7407467199......) = 8698763507529069029623 * c14333(8515540390......)

# ECM B1=5e4, sigma=130858298650597

n=35388: c11769(5762788341......) = 1533959962074991621 * c11751(3756804925......)

# ECM B1=5e4, sigma=8162033394074766

n=35396: c17678(4725001339......) = 49236538128073940881 * c17658(9596534441......)

# ECM B1=5e4, sigma=57898512382727

n=35398: c16056(1246825143......) = 28954040333654317427569 * c16033(4306221614......)

# ECM B1=5e4, sigma=7228561610261128

n=35404: c17251(9524568442......) = 1552542513242938500509 * c17230(6134819730......)

# ECM B1=5e4, sigma=3168871643631866

n=35438: c15456(9090909090......) = 85064020469451542689 * c15437(1068713780......)

# ECM B1=5e4, sigma=4756067201421365

n=35464: c14400(9999000099......) = 1641044139609830523569 * c14379(6093072001......)

# ECM B1=5e4, sigma=7452319757453668

n=35476: c15113(2409236763......) = 25307952016204825228409 * c15090(9519682831......)

# ECM B1=5e4, sigma=1129175237256467

n=35526: c11400(9100000000......) = 645537461784158274342289 * c11377(1409678064......)

# ECM B1=5e4, sigma=6138798300292950

n=35532: c9910(2519121679......) = 16307796776397606743761 * c9888(1544734530......)

# ECM B1=5e4, sigma=8228323232068479

n=35546: c15229(1099999890......) = 268059188881718430659 * c15208(4103570911......)

# ECM B1=5e4, sigma=4024484810588882

n=35628: c11845(1093544480......) = 2423144997907452504368689 * c11820(4512913925......)

# ECM B1=5e4, sigma=1565822441868966

n=35684: c16193(1066064086......) = 10652265873714113195669 * c16171(1000786216......)

# ECM B1=5e4, sigma=826381164238937

n=35688: c11865(1137658089......) = 13415166038399708024881 * c11842(8480387694......)

# ECM B1=5e4, sigma=1860684286458072

n=35732: c17858(9554828227......) = 270533933850032263203349 * c17835(3531840938......)

# ECM B1=5e4, sigma=3457713053317849

n=35772: c10769(2103211941......) = 22148746086017443069 * c10749(9495851065......)

# ECM B1=5e4, sigma=8358310795191507

n=35796: c11204(4882516628......) = 31461654285405223381 * x11185(1551894437......)

# ECM B1=5e4, sigma=7915487669320376

n=35796: x11185(1551894437......) = 1059841007231151117944929 * c11161(1464270986......)

# ECM B1=5e4, sigma=1120455956165387

n=35804: c17850(5429063242......) = 455382349341526226549 * c17830(1192198874......)

# ECM B1=5e4, sigma=7255766232142348

n=35826: c10218(2247835695......) = 401148981069966914421557299 * c10191(5603493467......)

# ECM B1=5e4, sigma=4568185890088731

n=35844: c11406(6217782639......) = 7196375797378524649 * c11387(8640158343......)

# ECM B1=5e4, sigma=7652765979322393

n=35854: c14089(1525020076......) = 3130933225921280157379 * c14067(4870816356......)

# ECM B1=5e4, sigma=4326731286397795

n=35868: c10061(4412560743......) = 60490263483448008589 * c10041(7294662793......)

# ECM B1=5e4, sigma=8465499281679467

n=35876: c17906(5833775248......) = 550813498018576608461 * c17886(1059119878......)

# ECM B1=5e4, sigma=6079416077616144

n=35882: c13920(9090910000......) = 13741614016878040063 * c13901(6615605698......)

# ECM B1=5e4, sigma=8814716218381956

n=35886: c11900(7445289225......) = 11985725070805432404766849 * c11875(6211797101......)

# ECM B1=5e4, sigma=7309398152817468

n=35924: c15376(4358900640......) = 5459985356808990421121 * c15354(7983355917......)

# ECM B1=5e4, sigma=2044543006053974

n=35936: c17937(2648425141......) = 84611797976298962689 * c17917(3130089662......)

# ECM B1=5e4, sigma=4544062410361862

n=35942: c17955(8579279507......) = 4807055851514032928034300157 * c17928(1784726404......)

# ECM B1=5e4, sigma=5032161614502481

n=35972: c16178(2743365756......) = 27178807165223052397601 * c16156(1009376805......)

# ECM B1=5e4, sigma=8044868054141627

n=36052: c17991(3418020552......) = 30112447836170426141369 * c17969(1135085586......)

# ECM B1=5e4, sigma=3245281278718448

n=36062: c15552(9090909090......) = 102055091769381037561 * c15532(8907844707......)

# ECM B1=5e4, sigma=3865318624318728

n=36098: c18019(8914815813......) = 10217173464476030544131328253 * c17991(8725324909......)

# ECM B1=5e4, sigma=2989327565540358

n=36114: c11088(9100000000......) = 1166603962142651438407 * c11067(7800419247......)

# ECM B1=5e4, sigma=4873524634911073

n=36120: c8065(1000099999......) = 4278763878795561121 * c8046(2337357303......)

# ECM B1=5e4, sigma=505994003022155

n=36148: c15481(1009999999......) = 7382507155862729138389 * c15459(1368098910......)

# ECM B1=5e4, sigma=2020164057747438

n=36192: c10752(9999999999......) = 33700642586529146593 * c10733(2967302470......)

# ECM B1=5e4, sigma=1422582829256005

n=36222: c12067(7584434283......) = 30137705070697886521 * c12048(2516593173......)

# ECM B1=5e4, sigma=7459162225794339

n=36252: c11218(4618286215......) = 7908854542442127649 * c11199(5839386968......)

# ECM B1=5e4, sigma=303077902077043

n=36276: c12089(1009998990......) = 472021681768309615021 * c12068(2139730078......)

# ECM B1=5e4, sigma=6041183170767859

n=36356: c17761(1009999999......) = 15188902416727669369 * c17741(6649591736......)

# ECM B1=5e4, sigma=7450590573966199

n=36378: c11587(5492305831......) = 4525778433368505666853 * c11566(1213560476......)

# ECM B1=5e4, sigma=5043511052986185

n=36390: c9670(6711381879......) = 1714276085124693451 * c9652(3914994753......)

# ECM B1=5e4, sigma=5907856798509050

n=36428: c15588(1044405471......) = 3829057462929340909 * x15569(2727578475......)

# ECM B1=5e4, sigma=6883723464510890

n=36428: x15569(2727578475......) = 892116052786837780861 * c15548(3057425619......)

# ECM B1=5e4, sigma=3847010828848706

n=36492: c12146(6299381767......) = 2173856155324773241697329 * c12122(2897791443......)

# ECM B1=5e4, sigma=7517165761755073

n=36496: c18236(2739951201......) = 8692114924982329672993937 * c18211(3152226155......)

# ECM B1=5e4, sigma=661390181277450

n=36516: c11386(6305610343......) = 32385433965937032507448489 * c11361(1947051365......)

# ECM B1=5e4, sigma=3803099061419944

n=36530: c13424(1669265379......) = 5619099490691832731 * c13405(2970699098......)

# ECM B1=5e4, sigma=4936507751689277

n=36624: c10368(9999999900......) = 56404909972069008335329 * c10346(1772895286......)

# ECM B1=5e4, sigma=7123362683746538

n=36676: c17879(1090156555......) = 53056461102615052349 * c17859(2054710271......)

# ECM B1=5e4, sigma=7863565013557368

n=36702: c12229(1000999998......) = 12715888047825550969 * c12209(7872041616......)

# ECM B1=5e4, sigma=3353885902422841

n=36804: c12260(1372113450......) = 9363814925124679592717929 * c12235(1465335936......)

# ECM B1=5e4, sigma=2160546770497587

n=36828: c10800(9999999999......) = 6616327034198185042861 * c10779(1511412593......)

# ECM B1=5e4, sigma=8829078343126968

n=36914: c18433(1909905379......) = 715450221719196084340441 * c18409(2669515392......)

# ECM B1=5e4, sigma=7405218209302823

n=36916: c16755(2104565657......) = 108457262434374629029 * c16735(1940456185......)

# ECM B1=5e4, sigma=1837397276820535

n=36918: c10503(1515533255......) = 9199794448980255331 * c10484(1647355561......)

# ECM B1=5e4, sigma=2576052700623827

n=36924: c11520(9901000000......) = 955064816238394819756189 * c11497(1036683566......)

# ECM B1=5e4, sigma=4753241644815626

n=36962: c18443(1609913499......) = 99037789147348389738516691 * c18417(1625554763......)

# ECM B1=5e4, sigma=1831230609305637

n=36964: c18461(2934341663......) = 839067868460736527066401 * c18437(3497144598......)

# ECM B1=5e4, sigma=7529975007690230

September 10, 2023 2023 年 9 月 10 日 (Alfred Reich)

# via Kurt Beschorner

n=30052: c13631(2667249617......) = 10023530302142057026316761 * c13606(2660988231......)

# ECM B1=5e4, sigma=7146261555499041

n=30076: c14689(1009999999......) = 58244021626605839586382727129 * c14660(1734083553......)

# ECM B1=5e4, sigma=7405341735765977

n=30178: c14821(1099999999......) = 45662124063855941539 * c14801(2408998754......)

# ECM B1=5e4, sigma=226694560390523

n=30252: c10059(8966143953......) = 4172947360721796679801 * c10038(2148635767......)

# ECM B1=5e4, sigma=2930410658066837

n=30314: c14477(1099999999......) = 3725018066447975317 * c14458(2953005811......)

# ECM B1=5e4, sigma=4475900401854287

n=30324: c8208(9999999999......) = 78640295746248323389 * c8189(1271612715......)

# ECM B1=5e4, sigma=7216167059266461

n=30356: c15149(1169610551......) = 147071523302894200524961 * c15125(7952664970......)

# ECM B1=5e4, sigma=3351064123592774

n=30412: c15147(5282834099......) = 210584221774531285001 * c15127(2508656182......)

# ECM B1=5e4, sigma=8211492197746365

n=30436: c13022(5275502347......) = 46711546205384347175113289 * c12997(1129378660......)

# ECM B1=5e4, sigma=1589098366558825

n=30508: c14657(6857223332......) = 82999394817889349356626389 * c14631(8261775098......)

# ECM B1=5e4, sigma=2314293745191269

n=30612: c10172(1874777863......) = 27442021509509906209 * c10152(6831777546......)

# ECM B1=5e4, sigma=4036064756391398

n=30676: c15315(7873128020......) = 1052413241333868268132981 * c15291(7481023338......)

# ECM B1=5e4, sigma=1387467048400401

n=30684: c10225(1009998990......) = 3977374881665126207314801 * c10200(2539360809......)

# ECM B1=5e4, sigma=6514308498049784

n=30754: c15376(9090909090......) = 1017142942076796796740518269757 * c15346(8937690775......)

# ECM B1=25e4, sigma=3778491771628779

n=30876: c9776(9485557670......) = 7523043036600096665809 * c9755(1260867128......)

# ECM B1=5e4, sigma=2132301528386504

n=30988: c15121(1009999999......) = 103470982771163763392684321 * c15094(9761190750......)

# ECM B1=5e4, sigma=8515578422968709

n=31040: c12283(2301172907......) = 2645232715016037761 * c12264(8699321215......)

# ECM B1=5e4, sigma=1251358486288732

n=31052: c13258(3215057724......) = 56983143876372437809 * c13238(5642120643......)

# ECM B1=5e4, sigma=3091778361110068

n=31084: c14659(1967726117......) = 29372779903013086254569 * c14636(6699148409......)

# ECM B1=5e4, sigma=7490463895671294

n=31164: c8726(6325561232......) = 1855379967964421641 * c8708(3409307711......)

# ECM B1=5e4, sigma=6689322565359858

n=31188: c9823(2610512826......) = 962599861889191428901 * c9802(2711939747......)

# ECM B1=5e4, sigma=1561783002489848

n=31266: c10335(1074793716......) = 8573119470458382099943 * c10313(1253678686......)

# ECM B1=5e4, sigma=8371985983879283

n=31284: c9344(2546367700......) = 52596449229984111541 * c9324(4841330046......)

# ECM B1=5e4, sigma=4599220885904876

n=31342: c15670(9090909090......) = 8548535065102334024380219 * c15646(1063446429......)

# ECM B1=5e4, sigma=358408330080824

n=31348: c14721(1009999999......) = 1633196921552546966104589 * c14696(6184189956......)

# ECM B1=5e4, sigma=7570278404195558

n=31436: c15095(2035537164......) = 1148707733237282969 * x15077(1772023557......)

# ECM B1=5e4, sigma=5646938321917298

n=31436: x15077(1772023557......) = 2062874377990073841929 * c15055(8590070131......)

# ECM B1=5e4, sigma=1929228964359014

n=31452: c10474(1690125673......) = 84575431423641191925961 * c10451(1998364826......)

# ECM B1=5e4, sigma=5651320251816010

n=31492: c15739(1309985737......) = 7917660775503911042789 * c15717(1654511066......)

# ECM B1=5e4, sigma=2121704787023065

n=31556: c12891(2920386232......) = 5477692512203408838881 * c12869(5331416880......)

# ECM B1=5e4, sigma=7961602870679461

n=31684: c15658(4208221096......) = 130898414991463797529 * c15638(3214875517......)

# ECM B1=5e4, sigma=4806517234096470

n=31708: c15847(1951591590......) = 331195452035331846709 * c15826(5892567601......)

# ECM B1=5e4, sigma=8028855521884913

n=31724: c12235(6241916328......) = 1424066508814757809 * c12217(4383163489......)

# ECM B1=5e4, sigma=6145527651151823

n=31764: c10565(1720386739......) = 31112539635045313789 * c10545(5529560618......)

# ECM B1=5e4, sigma=6777007400594417

n=31768: c13670(6963437025......) = 1920184755383263337 * c13652(3626441156......)

# ECM B1=5e4, sigma=8030581316490855

n=31812: c9579(1734091120......) = 244676919423136444201 * c9558(7087268893......)

# ECM B1=5e4, sigma=5070723175100358

n=31830: c8472(2524919800......) = 71313793191280854601 * c8452(3540577057......)

# ECM B1=5e4, sigma=4587824368980672

n=31844: c15036(1405012965......) = 18047204734964734376164729 * c15010(7785210985......)

# ECM B1=5e4, sigma=8933803248043038

n=31868: c15329(8304287206......) = 2976578897641814281 * x15311(2789876395......)

# ECM B1=5e4, sigma=5753238512022755

n=31868: x15311(2789876395......) = 673830749971619829989 * c15290(4140322174......)

# ECM B1=5e4, sigma=504714267466476

n=31924: c15219(1438072470......) = 3877513688274836824969 * x15197(3708748919......)

# ECM B1=5e4, sigma=3189159234037835

n=31924: x15197(3708748919......) = 3951956861607230257884101 * c15172(9384588571......)

# ECM B1=5e4, sigma=4606691820379190

n=32032: c11489(5395029135......) = 113821043976364012289 * c11469(4739922379......)

# ECM B1=5e4, sigma=2530927650236002

n=32034: c10080(9100000000......) = 100600779077088022419289 * c10057(9045655593......)

# ECM B1=5e4, sigma=4877123273261613

n=32036: c16011(1716987300......) = 126728484450911095718429 * c15988(1354855073......)

# ECM B1=5e4, sigma=1107181324369713

n=32038: c15726(1347670227......) = 77105140770229557179 * c15706(1747834468......)

# ECM B1=5e4, sigma=931199983383757

n=32052: c10658(5905948747......) = 11897631683242151228029 * c10636(4963970061......)

# ECM B1=5e4, sigma=6618765884082278

n=32092: c15674(1398756159......) = 3780737442524096936129 * c15652(3699691345......)

# ECM B1=5e4, sigma=2649312204811834

n=32112: c10640(1184752543......) = 2058348413426818527793 * c10618(5755840635......)

# ECM B1=5e4, sigma=7103364450168395

n=32158: c13748(5729771676......) = 742648927850040192357041 * c13724(7715316700......)

# ECM B1=5e4, sigma=122550406529456

n=32160: c8448(9999999999......) = 345496765090417974947223710401 * c8419(2894383105......)

# ECM B1=5e4, sigma=74785403886

n=32166: c10717(1000999998......) = 1667696092022564871373 * c10695(6002292646......)

# ECM B1=5e4, sigma=592110579800207

n=32172: c9168(9901000000......) = 12005772097337238529 * c9149(8246866523......)

# ECM B1=5e4, sigma=5489925510302849

n=32200: c10507(2137620643......) = 3599656465267035601 * c10488(5938401801......)

# ECM B1=5e4, sigma=4537772218634265

n=32210: c12857(9301922367......) = 259742238865905747625845641 * c12831(3581212824......)

# ECM B1=5e4, sigma=8181224814256987

n=32214: c8320(3194307516......) = 2082791583175088672251 * c8299(1533666422......)

# ECM B1=5e4, sigma=8245681223597478

n=32216: c16104(9999000099......) = 104074393100415576934633 * c16081(9607550716......)

# ECM B1=5e4, sigma=8824982526734052

n=32224: c14977(1000000000......) = 1003580971706042017 * x14958(9964318058......)

# ECM B1=5e4, sigma=7632666417089005

n=32224: x14958(9964318058......) = 119456102046043958849 * c14938(8341405661......)

# ECM B1=5e4, sigma=8541040509172817

n=32234: c15801(2385320351......) = 95409974971684034616362348251 * c15772(2500074391......)

# ECM B1=5e4, sigma=4075388262094959

n=32256: c9191(2106794466......) = 1490436148732263548929 * c9170(1413542249......)

# ECM B1=5e4, sigma=2253181025149394

n=32258: c16002(9999999999......) = 1965682340990875886063 * c15981(5087291975......)

# ECM B1=5e4, sigma=5943504647007438

n=32288: c16108(3902324592......) = 13344694595673622090561 * c16086(2924251705......)

# ECM B1=5e4, sigma=5727299533527796

n=32318: c13440(9090909091......) = 2037586387128187947481 * c13419(4461606707......)

# ECM B1=5e4, sigma=4031512790673503

n=32320: c12778(4054223625......) = 3638813009839566121601 * c12757(1114161023......)

# ECM B1=5e4, sigma=2302517820497938

n=32328: c10753(1000000000......) = 2673203601104628220297 * c10731(3740829915......)

# ECM B1=5e4, sigma=7407406029848616

n=32338: c14244(2437015882......) = 339828499863607873691 * c14223(7171311068......)

# ECM B1=5e4, sigma=4005354328880311

n=32360: c12912(8488499172......) = 121851558449440463256241 * c12889(6966262295......)

# ECM B1=5e4, sigma=2946323134988212

n=32390: c12456(2515580355......) = 3843137667314614411 * c12437(6545642059......)

# ECM B1=5e4, sigma=6875536053717373

n=32402: c15211(2014276889......) = 13509913444362139853 * c15192(1490962098......)

# ECM B1=5e4, sigma=4389154815814654

n=32416: c16187(4406975360......) = 29636911233083518303073 * c16165(1486988750......)

# ECM B1=5e4, sigma=7071029741263319

n=32438: c13856(1541378454......) = 23086721331816265943 * c13836(6676471866......)

# ECM B1=5e4, sigma=4634054576417164

n=32444: c16199(1546595434......) = 6116857689203840450489 * c16177(2528414936......)

# ECM B1=5e4, sigma=2344100114521474

n=32482: c15969(1125273291......) = 2518313683072754656087 * c15947(4468360310......)

# ECM B1=5e4, sigma=3413255752549716

n=32526: c9915(4687218172......) = 13864633001477281063 * c9896(3380701221......)

# ECM B1=5e4, sigma=6507378160272242

n=32530: c12998(1082768201......) = 5831721726421247611 * c12979(1856687017......)

# ECM B1=5e4, sigma=4337220304436904

n=32582: c14760(1025445197......) = 76926945248213251423 * c14740(1333011722......)

# ECM B1=5e4, sigma=8143665752144245

n=32588: c16278(4234411178......) = 534285508831458536005849 * c16254(7925371564......)

# ECM B1=5e4, sigma=662073253801865

n=32630: c11990(1739335304......) = 279609410513181727895281 * c11966(6220589290......)

# ECM B1=5e4, sigma=3105793738382999

n=32636: c15805(1167489134......) = 501702077488719421309 * c15784(2327056606......)

# ECM B1=5e4, sigma=238696052847868

n=32650: c13005(5405399993......) = 13974102906975944851 * c12986(3868155279......)

# ECM B1=5e4, sigma=1477149134795307

n=32658: c10860(1013881661......) = 41077416796041275371 * c10840(2468221569......)

# ECM B1=5e4, sigma=2833332239831678

n=32682: c10012(7697931000......) = 1570226677849272613 * c9994(4902432947......)

# ECM B1=5e4, sigma=6609101915272929

n=32692: c14841(1009999999......) = 107360352432185767740769681 * c14814(9407569713......)

# ECM B1=5e4, sigma=1830184542408341

n=32696: c15830(1713098681......) = 5306381909111401513 * x15811(3228374268......)

# ECM B1=5e4, sigma=5203374516361692

n=32696: x15811(3228374268......) = 70493846157257735277091249 * c15785(4579654032......)

# ECM B1=5e4, sigma=5736037481506648

n=32708: c13799(1921061049......) = 7139923722007367981 * c13780(2690590438......)

# ECM B1=5e4, sigma=7067993338755151

n=32712: c10269(6249473195......) = 2894122533734268313 * c10251(2159367173......)

# ECM B1=5e4, sigma=7877040208925257

n=32714: c14840(3508642629......) = 486422628059401383219409 * c14816(7213156680......)

# ECM B1=5e4, sigma=3741252833258052

n=32736: c9560(5204726261......) = 5249611358160639887482561 * c9535(9914498249......)

# ECM B1=5e4, sigma=647001396796693

n=32776: c15352(1727030808......) = 100125472694093162007353 * c15329(1724866571......)

# ECM B1=5e4, sigma=3977314091165746

n=32786: c14977(1000000000......) = 38666494928276923579 * c14957(2586218383......)

# ECM B1=5e4, sigma=2624096480713118

n=32788: c14014(3911477714......) = 19139180424058146481 * x13995(2043701782......)

# ECM B1=5e4, sigma=7688234885807523

n=32788: x13995(2043701782......) = 10300073618131454056061 * c13973(1984162306......)

# ECM B1=5e4, sigma=6102927445717608

n=32812: c15098(1573020483......) = 22542481028384000813824501 * c15072(6978027314......)

# ECM B1=5e4, sigma=7771510738599060

n=32826: c10908(6461415555......) = 3818089365203767253653 * c10887(1692316480......)

# ECM B1=5e4, sigma=4912187574410819

n=32852: c15930(3060652534......) = 36532526991016204289 * x15910(8377883456......)

# ECM B1=5e4, sigma=8692081952696988

n=32852: x15910(8377883456......) = 589143812374040254346681 * c15887(1422043867......)

# ECM B1=5e4, sigma=2639203732568085

n=32864: c14968(6731954009......) = 1759300285571003969 * c14950(3826495149......)

# ECM B1=5e4, sigma=4230806724160246

n=32884: c16423(4087159181......) = 80940732427154724989 * c16403(5049570294......)

# ECM B1=5e4, sigma=891340256822476

n=32910: c8753(2863952156......) = 527561847029533325965321 * c8729(5428656701......)

# ECM B1=5e4, sigma=7684221425081151

n=32912: c14034(3517513101......) = 3800631924038266417 * c14015(9255074345......)

# ECM B1=5e4, sigma=5744531219022591

n=32922: c10409(3879574339......) = 1162917030790182847051 * c10388(3336071479......)

# ECM B1=5e4, sigma=6241167997009491

n=32982: c10446(3046266285......) = 4168088380577650699 * c10427(7308545327......)

# ECM B1=5e4, sigma=6601724201389808

n=32984: c12960(9999000099......) = 114679794238474385201 * c12940(8719060028......)

# ECM B1=5e4, sigma=7073023706680379

n=33044: c14979(2464122400......) = 25871626235917536889 * c14959(9524420222......)

# ECM B1=5e4, sigma=651179950169124

n=33068: c14129(4625606199......) = 32065755777787115971322261 * c14104(1442537712......)

# ECM B1=5e4, sigma=2582793201568375

n=33084: c10979(1694728271......) = 2738256121606272304249 * c10957(6189078729......)

# ECM B1=5e4, sigma=7717022144212691

n=33198: c10027(2913355381......) = 10597467121669010287 * c10008(2749105373......)

# ECM B1=5e4, sigma=8425861557982496

n=33228: c10080(9999990000......) = 371872115838832750179949 * c10057(2689093797......)

# ECM B1=5e4, sigma=6716037013362568

n=33412: c16686(1156496460......) = 6329147437184074541809 * c16664(1827254731......)

# ECM B1=5e4, sigma=5673132784313322

n=33448: c16123(4983332419......) = 62992916195794952641 * c16103(7910940976......)

# ECM B1=5e4, sigma=7675428855302573

n=33484: c15201(1009999999......) = 9555485072786306149 * c15182(1056984540......)

# ECM B1=5e4, sigma=4462308378809204

n=33516: c9066(5967295639......) = 34886715549932929488113449 * c9041(1710477912......)

# ECM B1=5e4, sigma=8084383547178103

n=33550: c11979(8308921899......) = 100075917204844495109801 * c11956(8302618783......)

# ECM B1=5e4, sigma=1070630528255690

n=33564: c11166(4045814698......) = 5343743236122577113687841 * c11141(7571124809......)

# ECM B1=5e4, sigma=998220433910738

n=33572: c12947(2554317830......) = 6507131846484374029 * c12928(3925412748......)

# ECM B1=5e4, sigma=6172047971838049

n=33596: c16273(1009999999......) = 86632631733518496263009 * c16250(1165842454......)

# ECM B1=5e4, sigma=8468799517415490

n=33634: c16482(5229350974......) = 147617109677689501459 * c16462(3542510069......)

# ECM B1=5e4, sigma=2362808804900754

n=33702: c10870(1456646715......) = 302835885640590369607 * c10849(4810020161......)

# ECM B1=5e4, sigma=7021055813529274

n=33704: c15281(1000099999......) = 15182843965396821913 * c15261(6587039966......)

# ECM B1=5e4, sigma=6263012219854997

n=33708: c11012(8516708025......) = 2089780986268721915101 * c10991(4075406983......)

# ECM B1=5e4, sigma=1494352503714748

n=33788: c16875(1609315988......) = 23421429790974093072019681 * x16849(6871126154......)

# ECM B1=5e4, sigma=2391374417278893

n=33788: x16849(6871126154......) = 15644020776466965702231646529 * c16821(4392174015......)

# ECM B1=5e4, sigma=6480552275212026

n=33828: c11218(1089121841......) = 292096672788756853165909 * c11194(3728634876......)

# ECM B1=5e4, sigma=4360959479066431

n=33836: c15361(1009999999......) = 110940033353458235644549789 * c15334(9104017454......)

# ECM B1=5e4, sigma=2757862119084115

n=33892: c16397(4147727804......) = 112187970585902757521 * c16377(3697123481......)

# ECM B1=5e4, sigma=1010217580554023

n=33908: c14438(2899528216......) = 362862080346852278641 * c14417(7990717060......)

# ECM B1=5e4, sigma=5631901232164021

n=33988: c16342(1274284166......) = 22642420187144147629 * c16322(5627862022......)

# ECM B1=5e4, sigma=6324202384525835

n=34012: c15422(3804249620......) = 1316217692059596400801 * c15401(2890289078......)

# ECM B1=5e4, sigma=8896794626632249

n=34068: c10614(6572838634......) = 498525914408141782828420009 * c10588(1318454757......)

# ECM B1=5e4, sigma=6765111233606288

n=34182: c11315(1262245298......) = 1574203269709273969 * c11296(8018312011......)

# ECM B1=5e4, sigma=5321565358030576

n=34238: c14955(5882769561......) = 124188848941121504933 * c14935(4736954735......)

# ECM B1=5e4, sigma=17320433792406

n=34242: c10512(9100000000......) = 1959090635145625411 * c10494(4645012250......)

# ECM B1=5e4, sigma=1310148015673359

n=34266: c11411(8121589920......) = 5287668436886239783 * c11393(1535949164......)

# ECM B1=5e4, sigma=1464208314164745

n=34284: c11418(2074631747......) = 7362732481991099195341 * c11396(2817747015......)

# ECM B1=5e4, sigma=6984402437749775

n=34310: c13231(4625530472......) = 122851728139249134068761 * c13208(3765132605......)

# ECM B1=5e4, sigma=2284729999281243

n=34332: c11441(1009998990......) = 82873160247456073741 * c11421(1218728701......)

# ECM B1=5e4, sigma=3786701855675033

n=34444: c16837(3986536736......) = 199556693916501845477789 * c16814(1997696322......)

# ECM B1=5e4, sigma=889244487967125

n=34550: c13773(6036636389......) = 8935236607478585401 * c13754(6755989409......)

# ECM B1=5e4, sigma=8119566335400904

n=34564: c17262(1205868611......) = 367170914060073703109 * c17241(3284216055......)

# ECM B1=5e4, sigma=7335439577380950

n=34628: c15707(1038747274......) = 12213757714347535721 * c15687(8504731297......)

# ECM B1=5e4, sigma=8116222215169784

n=34632: c10298(1483284701......) = 14300170093294429033 * c10279(1037249691......)

# ECM B1=5e4, sigma=1865890507513429

n=34644: c11545(1009998990......) = 632595072355209304495681 * c11521(1596596360......)

# ECM B1=5e4, sigma=7422335687003322

n=34648: c16787(3004558486......) = 2482289065629741408961 * c16766(1210398308......)

# ECM B1=5e4, sigma=4841080313106729

n=34680: c8690(9021941848......) = 105003532222506812161 * c8670(8592036531......)

# ECM B1=5e4, sigma=4672658660103473

n=34716: c10466(5092817079......) = 10350029093225638114665111361 * c10438(4920582380......)

# ECM B1=5e4, sigma=7807156174263727

n=34724: c17334(1929555977......) = 11791619089671729934441 * c17312(1636379162......)

# ECM B1=5e4, sigma=5828911782988678

n=34796: c17366(6897383838......) = 346396295569016372834215880381 * c17337(1991182909......)

# ECM B1=5e4, sigma=4022373722079339

n=34848: c10547(1066192142......) = 237605478352243648417 * c10526(4487237205......)

# ECM B1=5e4, sigma=7965955199229276

n=34954: c17476(9090909090......) = 2313988574585294716112099 * c17452(3928675011......)

# ECM B1=5e4, sigma=6354504754455014

n=34972: c14967(4562152003......) = 167820885534746880233729 * c14944(2718464980......)

# ECM B1=5e4, sigma=7690315013701184

September 9, 2023 2023 年 9 月 9 日 (Alfred Reich)

# via Kurt Beschorner

n=26038: c12675(1424244162......) = 121767938694810657649 * c12655(1169638065......)

# ECM B1=5e4, sigma=4658379165285664

n=26132: c12689(3220827490......) = 324133621631651172701489 * c12665(9936727557......)

# ECM B1=5e4, sigma=549178135807696

n=26148: c8670(1575846817......) = 12198434604269700601 * c8651(1291843477......)

# ECM B1=5e4, sigma=6124610120787372

n=26244: c8705(3179226481......) = 295528639905549843145201 * c8682(1075776101......)

# ECM B1=5e4, sigma=7406813007428405

n=26356: c11961(1009999999......) = 1000492440496564710421 * c11940(1009502879......)

# ECM B1=5e4, sigma=1246659942658103

n=26386: c12939(1154941665......) = 12855666177982267933 * c12919(8983911445......)

# ECM B1=5e4, sigma=1059784327373157

n=26468: c12180(1130754569......) = 32119907598203196675481241 * c12154(3520416633......)

# ECM B1=5e4, sigma=7717795305958784

n=26474: c10800(9090910000......) = 65728571959319588125619 * c10778(1383098663......)

# ECM B1=5e4, sigma=8601234681979705

n=26476: c13208(5771752828......) = 2137281458583575859029 * c13187(2700511345......)

# ECM B1=5e4, sigma=6586058047753486

n=26516: c11353(1009999999......) = 1636712978216388733781 * c11331(6170904816......)

# ECM B1=5e4, sigma=408782575856980

n=26564: c12763(1901065537......) = 53973366449782314933019549 * c12737(3522228948......)

# ECM B1=5e4, sigma=3389703393873461

n=26572: c10349(1149787688......) = 437720006091571140029 * c10328(2626765221......)

# ECM B1=5e4, sigma=5170400883762124

n=26602: c12956(5286805885......) = 2129000058746395666121 * c12935(2483234260......)

# ECM B1=5e4, sigma=5815152135334994

n=26626: c13279(1343543512......) = 87561670633117370351983 * c13256(1534396845......)

# ECM B1=5e4, sigma=7684554699633924

n=26688: c8833(1000000000......) = 24383509759481743489 * c8813(4101132322......)

# ECM B1=5e4, sigma=5763339666119605

n=26690: c9966(5638377873......) = 11559163619843416601 * c9947(4877842427......)

# ECM B1=5e4, sigma=366342796836803

n=26712: c7465(1988796923......) = 1798115569464760405273 * c7444(1106045104......)

# ECM B1=5e4, sigma=2303601911190220

n=26732: c12961(1009999999......) = 21592333357720756575389 * c12938(4677586174......)

# ECM B1=5e4, sigma=1131975354988457

n=26758: c12577(1099999999......) = 10691915188706476791121619 * c12552(1028814745......)

# ECM B1=5e4, sigma=2079264199462531

n=26800: c10561(1000000000......) = 225613316138528210627201 * c10537(4432362491......)

# ECM B1=5e4, sigma=5138054994258633

n=26812: c13398(2978019928......) = 2166288489495161802301 * c13377(1374710682......)

# ECM B1=5e4, sigma=2762079529778184

n=26882: c13434(2818151635......) = 50079157042361911390880047 * c13408(5627394313......)

# ECM B1=5e4, sigma=2864784286155131

n=26964: c7591(1555603141......) = 40247123839579941481 * x7571(3865128717......)

# ECM B1=5e4, sigma=2516750088916532

n=26964: x7571(3865128717......) = 584652158108982497269 * c7550(6610988540......)

# ECM B1=5e4, sigma=2117547621481489

n=26996: c12653(4301379237......) = 5302010404356240860260141 * c12628(8112732547......)

# ECM B1=5e4, sigma=6482484630472935

n=27032: c12941(1372346781......) = 44404497353423204849 * c12921(3090558081......)

# ECM B1=5e4, sigma=201038125609309

n=27102: c9017(1936831273......) = 10047094596501849632371 * c8995(1927752600......)

# ECM B1=5e4, sigma=5098970282143295

n=27142: c13157(1979147285......) = 2256309684343386401 * c13138(8771611890......)

# ECM B1=5e4, sigma=4426844586788590

n=27204: c9060(1856308680......) = 4249801419101714475541 * c9038(4367989224......)

# ECM B1=5e4, sigma=3340138151820354

n=27272: c11642(5586061735......) = 231111694234976490937 * c11622(2417039844......)

# ECM B1=5e4, sigma=4547350237510862

n=27314: c11674(1396532521......) = 4181515567724284252961 * c11652(3339775970......)

# ECM B1=5e4, sigma=4847999740767343

n=27370: c8439(3873918791......) = 1974716773193805131 * c8421(1961759197......)

# ECM B1=5e4, sigma=7294668017049207

n=27400: c10841(7356402026......) = 4322440342093141601 * c10823(1701909440......)

# ECM B1=5e4, sigma=6437018504736007

n=27564: c9158(6052255475......) = 488937090222736594777621 * c9135(1237839304......)

# ECM B1=5e4, sigma=6948464454421942

n=27732: c9214(1690895763......) = 2861425740802509421 * c9195(5909277111......)

# ECM B1=5e4, sigma=1054407432492110

n=27852: c8371(7113716110......) = 2585216763924457918305469 * c8347(2751690384......)

# ECM B1=5e4, sigma=3394191394379153

n=27966: c9024(5090290177......) = 42155774448660443438321044411 * c8996(1207495353......)

# ECM B1=5e4, sigma=3464363999064848

n=28026: c9270(1967081357......) = 31277589303776977531 * c9250(6289107955......)

# ECM B1=5e4, sigma=8215824865239780

n=28030: c11209(1099989000......) = 1147052689282297503241 * c11187(9589698977......)

# ECM B1=5e4, sigma=991197339794969

n=28044: c8633(2256849041......) = 405824751590877443449 * c8612(5561141928......)

# ECM B1=5e4, sigma=2946815153767732

n=28068: c9337(4002127154......) = 5751845707448221891659120229 * c9309(6957987675......)

# ECM B1=5e4, sigma=7654053640819460

n=28160: c10229(1281495619......) = 53681034496970664961 * c10209(2387240915......)

# ECM B1=5e4, sigma=7688030622021457

n=28172: c14074(6732911769......) = 2257853378874696812067869 * c14050(2981996897......)

# ECM B1=5e4, sigma=1614498081094537

n=28252: c12083(6550413432......) = 5163839995356397909 * c12065(1268515956......)

# ECM B1=5e4, sigma=4292343341411868

n=28272: c8633(3401027232......) = 31164928028577734547163633 * c8608(1091299562......)

# ECM B1=5e4, sigma=8521571831349624

n=28292: c12804(2041818430......) = 375812955972104358672930241 * c12777(5433070888......)

# ECM B1=5e4, sigma=7591189158075803

n=28452: c9465(3184106845......) = 6998416027497971434069 * c9443(4549753590......)

# ECM B1=5e4, sigma=4917744390395814

n=28554: c9504(1094307406......) = 1152602576892955009 * c9485(9494230085......)

# ECM B1=5e4, sigma=3899044741182029

n=28582: c13794(6013396754......) = 1661630392867152641 * c13776(3618973738......)

# ECM B1=5e4, sigma=6045849350557042

n=28612: c13641(1009999999......) = 282470270774582366621 * c13620(3575597521......)

# ECM B1=5e4, sigma=2000090026828208

n=28676: c13976(1066846048......) = 851388888888382143585761 * c13952(1253065505......)

# ECM B1=5e4, sigma=7471749008806176

n=28698: c9565(1098901098......) = 293822962070457668107957 * c9541(3740010961......)

# ECM B1=5e4, sigma=1824011877686731

n=28804: c13609(1009999999......) = 716812219547354386529 * c13588(1409016158......)

# ECM B1=5e4, sigma=4956499985916338

n=28836: c9505(1000000000......) = 118086523426077002821 * c9484(8468366846......)

# ECM B1=5e4, sigma=4256197613707316

n=28916: c14456(9900990099......) = 274193596842390011590009 * c14433(3610948692......)

# ECM B1=5e4, sigma=5173949077798964

n=28924: c12365(1094179154......) = 12944207170546303541 * c12345(8453041121......)

# ECM B1=5e4, sigma=6500224799955787

n=29004: c9633(5116289026......) = 1597100100880020537781 * c9612(3203486759......)

# ECM B1=5e4, sigma=5097553715942865

n=29076: c9661(1350549861......) = 10387824638465616584989 * c9639(1300127705......)

# ECM B1=5e4, sigma=7979412979148346

n=29078: c11871(3797846994......) = 49013384362744144391441 * c11848(7748591621......)

# ECM B1=5e4, sigma=8384292710469128

n=29092: c12425(1080261549......) = 4784774707881753901 * c12406(2257706193......)

# ECM B1=5e4, sigma=6614531805514734

n=29148: c8294(6107270042......) = 49667254982169876241 * c8275(1229637120......)

# ECM B1=5e4, sigma=6398050415126699

n=29172: c7656(9325369084......) = 250257477284210172349 * c7636(3726309873......)

# ECM B1=5e4, sigma=8658854174904596

n=29188: c14570(5867953941......) = 14291715178243908221 * c14551(4105843048......)

# ECM B1=5e4, sigma=7414538244304390

n=29194: c13245(8436045118......) = 7222364414597567687 * c13227(1168044788......)

# ECM B1=5e4, sigma=1261939889178259

n=29204: c12402(4004859998......) = 22692228090813114709 * c12383(1764859749......)

# ECM B1=5e4, sigma=1263647817462359

n=29332: c14664(9900990099......) = 6000945072705967928429 * c14643(1649905136......)

# ECM B1=5e4, sigma=6064683092567861

n=29348: c12314(2498999893......) = 318057412409277527009 * c12293(7857071699......)

# ECM B1=5e4, sigma=6706198125207238

n=29356: c14236(1146828055......) = 12854371507664171391889 * c14213(8921696829......)

# ECM B1=5e4, sigma=3382840365609622

n=29364: c9761(7944768151......) = 1173541439106383101 * x9743(6769908489......)

# ECM B1=5e4, sigma=315306817153665

n=29364: x9743(6769908489......) = 1183726534443619112281 * x9722(5719149053......)

# ECM B1=5e4, sigma=7577013416505842

n=29364: x9722(5719149053......) = 4612289666954991758107309 * c9698(1239980458......)

# ECM B1=5e4, sigma=5958631743492152

n=29446: c14706(6238306910......) = 92677782269903733213378733447 * c14677(6731178452......)

# ECM B1=5e4, sigma=1344324907609888

n=29484: c7756(5605613990......) = 218878325275719619510044409 * c7730(2561063998......)

# ECM B1=5e4, sigma=7469840906244892

n=29572: c14770(1317148931......) = 113044580456808521524274189 * c14744(1165158847......)

# ECM B1=5e4, sigma=6618275180834794

n=29596: c12595(3378823561......) = 901971076986362239923914349694669 * c12562(3746044244......)

# ECM B1=5e4, sigma=7045425240551096

n=29612: c13421(3905907743......) = 90719378931770047229 * c13401(4305483337......)

# ECM B1=5e4, sigma=8481798471101723

n=29684: c14401(1009999999......) = 18348718308213606529 * c14381(5504471664......)

# ECM B1=5e4, sigma=3232142465185310

n=29702: c14841(9469713314......) = 562940450393188377198398219 * c14815(1682187398......)

# ECM B1=5e4, sigma=2600707992334716

n=29704: c14353(1000099999......) = 4528778252176411729 * c14334(2208321857......)

# ECM B1=5e4, sigma=3532332394595938

n=29708: c12707(9220766975......) = 25505583531177261961 * x12688(3615195458......)

# ECM B1=5e4, sigma=1080400782955835

n=29708: x12688(3615195458......) = 18218603611338593070721 * c12666(1984342782......)

# ECM B1=5e4, sigma=1040046404849965

n=29710: c11868(4281554612......) = 3291748170176143651 * c11850(1300693245......)

# ECM B1=5e4, sigma=2643866227868786

n=29732: c14827(2963280902......) = 13678191136723931149 * c14808(2166427470......)

# ECM B1=5e4, sigma=4365358816773411

n=29788: c13502(4979479165......) = 63664798044703039669 * c13482(7821401022......)

# ECM B1=5e4, sigma=3507395402860957

n=29808: c9480(5631335907......) = 14845977759768236689249 * c9458(3793172803......)

# ECM B1=5e4, sigma=3035980474087016

n=29852: c13992(1604608105......) = 325654979213499243002129 * c13968(4927325566......)

# ECM B1=5e4, sigma=4822814262493960

n=29882: c14645(1267612189......) = 6337088028240391001 * c14626(2000307055......)

# ECM B1=5e4, sigma=1832807830784907

n=29916: c9925(4242753589......) = 96828592750547236489 * c9905(4381715637......)

# ECM B1=5e4, sigma=6574002407608243

n=29938: c14962(5060961559......) = 37737308614331179152521 * c14940(1341102941......)

# ECM B1=5e4, sigma=360967780344496

n=29956: c14939(3586994872......) = 120101564314898498989 * c14919(2986634597......)

# ECM B1=5e4, sigma=844717817170050

September 8, 2023 2023 年 9 月 8 日 (Alfred Reich)

# via Kurt Beschorner

n=20062: c8580(1927558506......) = 583854466279856713802813 * c8556(3301436604......)

# ECM B1=5e4, sigma=7757783317982231

n=20126: c9672(1477246026......) = 552996707528439841723813 * c9648(2671346875......)

# ECM B1=5e4, sigma=4409981465514900

n=20554: c9960(9204936989......) = 909703837311232488410209 * c9937(1011860850......)

# ECM B1=5e4, sigma=6091258602862514

n=20634: c6475(3150129639......) = 10821096289286356488567230437 * c6447(2911100276......)

# ECM B1=5e4, sigma=1946951665421895

n=20748: c5168(9949310690......) = 189362360475272056551912889 * c5142(5254112097......)

# ECM B1=5e4, sigma=1375192279128231

n=21000: c4781(8790949027......) = 148723664735506084686001 * c4758(5910928192......)

# ECM B1=5e4, sigma=3036645766291582

n=21178: c10557(2827045940......) = 1290566611421838529991717291 * c10530(2190546319......)

# ECM B1=5e4, sigma=4920200329451214

n=21184: c10525(2362773335......) = 18431850834888417021093953 * c10500(1281896949......)

# ECM B1=5e4, sigma=1150313087870778

n=21232: c10546(4296828505......) = 2681496434556523516721281 * c10522(1602399484......)

# ECM B1=5e4, sigma=6455386447580621

n=21238: c8625(1537609401......) = 2066581977633484277544414019 * c8597(7440350388......)

# ECM B1=5e4, sigma=79549213640890

n=21416: c10684(4664887100......) = 14929922277780965169291497 * c10659(3124522025......)

# ECM B1=25e4, sigma=5541988117279252

n=21424: c9771(1641070596......) = 67919185206699534289666176769 * c9742(2416210664......)

# ECM B1=5e4, sigma=4767692597095104

n=21520: c8547(5875532700......) = 17138460265750926504957601 * c8522(3428273374......)

# ECM B1=5e4, sigma=2056775504747556

n=21578: c10732(1010519084......) = 19874812356007249746467333 * c10706(5084420757......)

# ECM B1=25e4, sigma=3112971891603839

n=22054: c11000(1206323988......) = 326480507152506070136982103 * c10973(3694934191......)

# ECM B1=5e4, sigma=3699268190669267

n=22308: c6230(3871549476......) = 8209520522116046841768061 * c6205(4715926424......)

# ECM B1=5e4, sigma=3873131265222733

n=22464: c6913(1000000000......) = 314971981303238633638869697 * c6886(3174885575......)

# ECM B1=5e4, sigma=7098309898716492

n=22536: c7489(1000000000......) = 116940860679639746012617 * c7465(8551330939......)

# ECM B1=5e4, sigma=6879466853422646

n=22588: c11292(9900990099......) = 683184520433820642947161 * c11269(1449240988......)

# ECM B1=5e4, sigma=6173541857154864

n=22770: c5276(1099021748......) = 1514768047392992817956851 * c5251(7255379796......)

# ECM B1=5e4, sigma=3705507782874926

n=22872: c7597(5862988705......) = 154000700691616473530929 * c7574(3807118201......)

# ECM B1=5e4, sigma=316461869833568

n=22932: c6048(9999999999......) = 1732731476073647213045014506829 * c6018(5771234688......)

# ECM B1=5e4, sigma=4804429353375850

n=23132: c11545(1509300648......) = 359177945817186532489595089 * c11518(4202097222......)

# ECM B1=5e4, sigma=4002977890092307

n=23170: c7920(9091000909......) = 2059760641432701984836264731 * c7893(4413620071......)

# ECM B1=5e4, sigma=6971784013539468

n=23206: c11273(5636329566......) = 1907975058812155105247 * c11252(2954089751......)

# ECM B1=5e4, sigma=5720397855983730

n=23226: c6544(3266210917......) = 718997764722340729404997 * c6520(4542727499......)

# ECM B1=5e4, sigma=4879768558674582

n=23568: c7833(3190256630......) = 1047478413769760682936337 * c7809(3045653818......)

# ECM B1=5e4, sigma=5624704772566266

n=23644: c11265(1009999999......) = 20142027072137169938958469 * c11239(5014391036......)

# ECM B1=5e4, sigma=8354442519143321

n=23652: c7777(1000000000......) = 76210354372644227097153541 * c7751(1312157656......)

# ECM B1=5e4, sigma=7324056892967883

n=23702: c10099(2817993551......) = 50920780726742376080385539 * c10073(5534073734......)

# ECM B1=5e4, sigma=187789835041948

n=23908: c11588(4224350662......) = 1249040546839696521842203501 * c11561(3382076485......)

# ECM B1=5e4, sigma=2054092786637059

n=23978: c11335(9175000625......) = 105407556852372777583939981409 * c11306(8704310107......)

# ECM B1=5e4, sigma=1166076525927244

n=24010: c8220(2035341221......) = 28913425159024662191321 * c8197(7039433100......)

# ECM B1=5e4, sigma=4987763299943296

n=24014: c11961(5874138616......) = 1353517360179324122403319253 * c11934(4339906372......)

# ECM B1=5e4, sigma=5178267077853661

n=24050: c8622(5641816539......) = 1773243142727108751401 * c8601(3181637308......)

# ECM B1=5e4, sigma=708443567735081

n=24076: c11083(3226950467......) = 6648583687349706181 * c11064(4853590809......)

# ECM B1=5e4, sigma=591460210780615

n=24096: c7994(2470277009......) = 6904065304827653761 * c7975(3578003539......)

# ECM B1=5e4, sigma=2012597522584480

n=24108: c6720(9999999999......) = 8803282237753570309 * c6702(1135939951......)

# ECM B1=5e4, sigma=625559029469537

n=24120: c6336(9999999999......) = 1573559456502232743121 * c6315(6355018845......)

# ECM B1=5e4, sigma=2707379202397668

n=24122: c10296(8721245375......) = 418393309405470761041 * c10276(2084461003......)

# ECM B1=5e4, sigma=3625532892285780

n=24130: c9061(5382602164......) = 143196895139767756517371 * c9038(3758881894......)

# ECM B1=5e4, sigma=2464287966635086

n=24136: c10303(1290616844......) = 310829943085132446744217 * c10279(4152163820......)

# ECM B1=5e4, sigma=1334882594852504

n=24138: c7962(1955497916......) = 202766159676971239008733 * c7938(9644103927......)

# ECM B1=5e4, sigma=1598005617473526

n=24144: c7996(2152277957......) = 15950663246861231481075793 * c7971(1349334459......)

# ECM B1=5e4, sigma=6627635039125986

n=24152: c12019(7897648628......) = 11257107370417367224485089 * c11994(7015699831......)

# ECM B1=5e4, sigma=2744223885056616

n=24168: c7481(2957318724......) = 69287929880762022079921 * x7458(4268158581......)

# ECM B1=5e4, sigma=1782214505751888

n=24168: x7458(4268158581......) = 79831284336097450670617 * c7435(5346473649......)

# ECM B1=5e4, sigma=4818259231363578

n=24170: c9645(3791754885......) = 3291177721453992202691 * c9624(1152096667......)

# ECM B1=5e4, sigma=4835629259200031

n=24182: c11866(2973095914......) = 4366150305849662009 * x11847(6809421816......)

# ECM B1=5e4, sigma=3260009675219666

n=24182: x11847(6809421816......) = 137072753998236901783 * c11827(4967742762......)

# ECM B1=5e4, sigma=2348815606247238

n=24216: c8055(1045076928......) = 3859235885009764124477384233 * c8027(2707989249......)

# ECM B1=5e4, sigma=160169519985921

n=24228: c8041(4834630167......) = 4003523476835749543549 * c8020(1207593809......)

# ECM B1=5e4, sigma=461465224712327

n=24234: c6880(8560372328......) = 27970055319914580368413 * c6858(3060548944......)

# ECM B1=5e4, sigma=3091712084674784

n=24254: c11863(1589908575......) = 69141532269819920357 * c11843(2299498613......)

# ECM B1=5e4, sigma=2285628808733290

n=24306: c8101(1098901098......) = 61398538448986382317 * c8081(1789783807......)

# ECM B1=5e4, sigma=346049315723458

n=24332: c9348(8958477197......) = 50882738611623113038229 * c9326(1760612231......)

# ECM B1=5e4, sigma=40461783953568

n=24338: c11845(1099999999......) = 1634613378746501749543 * c11823(6729420022......)

# ECM B1=5e4, sigma=6740427081029407

n=24350: c9709(2322879485......) = 17090033956280566172851 * c9687(1359201211......)

# ECM B1=5e4, sigma=8729827286409768

n=24360: c5362(4073569898......) = 2512792992914940961 * c5344(1621132305......)

# ECM B1=5e4, sigma=3420389829784996

n=24366: c7770(1835415713......) = 1384365638528635702192783 * c7746(1325817156......)

# ECM B1=5e4, sigma=7490727738727440

n=24368: c12151(5398941588......) = 771842103437604191973601 * c12127(6994878310......)

# ECM B1=5e4, sigma=3958050551460496

n=24374: c10419(3560117067......) = 47059682530474037175277 * c10396(7565110677......)

# ECM B1=5e4, sigma=4885103201178026

n=24398: c11072(1927479059......) = 318635076048285689573 * c11051(6049174131......)

# ECM B1=5e4, sigma=8821479813500793

n=24414: c7466(1100617896......) = 8678900901238436221081 * c7444(1268153547......)

# ECM B1=5e4, sigma=6404166288027476

n=24452: c12195(3971075890......) = 258711497041721511797511181 * c12169(1534943725......)

# ECM B1=5e4, sigma=7644794058255396

n=24472: c9475(1922853927......) = 175930947433130653009 * x9455(1092959456......)

# ECM B1=5e4, sigma=8422723636273258

n=24472: x9455(1092959456......) = 5421809291986068606241 * c9433(2015857434......)

# ECM B1=5e4, sigma=5845749354381634

n=24476: c11749(1963087435......) = 5409921065838541429 * c11730(3628680365......)

# ECM B1=5e4, sigma=4806897737418305

n=24486: c6219(1110851836......) = 87968390233834942063 * c6199(1262785226......)

# ECM B1=5e4, sigma=8016945389546946

n=24492: c7460(2630023807......) = 170308996742099774372114029 * c7434(1544265927......)

# ECM B1=5e4, sigma=6093510995116122

n=24514: c9781(5144494781......) = 1622306224812464423 * c9763(3171099698......)

# ECM B1=5e4, sigma=5747438156579627

n=24518: c10548(5930457289......) = 2961121396755133093 * c10530(2002774116......)

# ECM B1=5e4, sigma=4919812573421486

n=24522: c7904(1882248134......) = 13985800723238997988171 * c7882(1345827938......)

# ECM B1=5e4, sigma=1901719780259582

n=24552: c7192(3173591967......) = 101162286087756958153 * c7172(3137129547......)

# ECM B1=5e4, sigma=3214385182670931

n=24564: c7744(9901000000......) = 65795457025880463842835649 * c7719(1504815141......)

# ECM B1=5e4, sigma=1759869705184014

n=24568: c11797(6685952909......) = 8228734237471507439041 * c11775(8125129232......)

# ECM B1=5e4, sigma=6334851917741372

n=24582: c7680(9100000000......) = 7177947201007068429613 * c7659(1267771933......)

# ECM B1=5e4, sigma=8114931927762669

n=24596: c10074(5160827140......) = 4465168528111494061 * c10056(1155796720......)

# ECM B1=5e4, sigma=1440966277392530

n=24598: c10482(1016953467......) = 68556886545355159967 * c10462(1483371720......)

# ECM B1=5e4, sigma=2380887158983264

n=24656: c11584(5732420058......) = 45963145272239800337 * c11565(1247177499......)

# ECM B1=5e4, sigma=4200999156238522

n=24668: c10561(1009999999......) = 5044230159219769177241 * c10539(2002287699......)

# ECM B1=5e4, sigma=7727549919360740

n=24716: c11943(6021397994......) = 91047339682249671401 * x11923(6613480432......)

# ECM B1=5e4, sigma=8291332875401533

n=24716: x11923(6613480432......) = 5444025631327159662301 * c11902(1214814345......)

# ECM B1=5e4, sigma=51650302975910

n=24732: c8202(5118155171......) = 270926734087688347729 * c8182(1889128877......)

# ECM B1=5e4, sigma=1341284355459809

n=24748: c11788(4080972968......) = 194745439477220888609189 * c11765(2095542252......)

# ECM B1=5e4, sigma=1460581582765923

n=24892: c10585(1000000000......) = 466418012720330758081 * c10564(2143999529......)

# ECM B1=5e4, sigma=8235717295988268

n=24970: c9036(3640623122......) = 33358096440126554251 * c9017(1091376160......)

# ECM B1=5e4, sigma=7856685423099471

n=25018: c10699(4701099344......) = 3917851501366588227023 * c10678(1199917695......)

# ECM B1=5e4, sigma=2399324716476117

n=25040: c9970(4173884872......) = 3754755888840131041 * c9952(1111626160......)

# ECM B1=5e4, sigma=1464107798746144

n=25062: c8353(1098901098......) = 909531293525359102579 * c8332(1208205926......)

# ECM B1=5e4, sigma=8356491776587579

n=25074: c7108(2285763537......) = 3788293915458146179 * c7089(6033754477......)

# ECM B1=5e4, sigma=3525671060712566

n=25078: c12478(6378007339......) = 1472888348977286441986862539 * c12451(4330272110......)

# ECM B1=5e4, sigma=922881555252145

n=25108: c12508(4062117129......) = 3947428677683162294069 * x12487(1029053964......)

# ECM B1=5e4, sigma=680305940718870

n=25108: x12487(1029053964......) = 2173561872783043158092641 * c12462(4734413025......)

# ECM B1=5e4, sigma=3716537959954299

n=25124: c11378(9198180310......) = 9603229805234481676450961 * c11353(9578215346......)

# ECM B1=5e4, sigma=8533594192591517

n=25172: c10054(2915502393......) = 6541457550918572941 * c10035(4456961420......)

# ECM B1=5e4, sigma=3107717232519037

n=25226: c12612(9090909090......) = 1562897116485215314620049 * c12588(5816703476......)

# ECM B1=5e4, sigma=5175979900801531

n=25276: c12321(1009999999......) = 9250504291690695421 * c12302(1091832367......)

# ECM B1=5e4, sigma=3069402197204449

n=25356: c8440(3107562899......) = 10066095690124662114481 * c8418(3087158114......)

# ECM B1=5e4, sigma=7248875338889910

n=25358: c12219(1512913539......) = 397226227143177904139 * c12198(3808694984......)

# ECM B1=5e4, sigma=4156502599970586

n=25372: c12673(1713138261......) = 5154186054634133941 * c12654(3323780405......)

# ECM B1=5e4, sigma=5404759580162450

n=25564: c9840(9900990099......) = 341244778675120828201 * c9820(2901433433......)

# ECM B1=5e4, sigma=5202861651547072

n=25668: c7907(1912660211......) = 2871578221047706141 * x7888(6660658580......)

# ECM B1=5e4, sigma=5452676362294578

n=25668: x7888(6660658580......) = 1029251867448551935789 * c7867(6471359237......)

# ECM B1=5e4, sigma=2792469767671218

n=25676: c10902(1000353456......) = 384902006864920121221 * c10881(2598982180......)

# ECM B1=5e4, sigma=4884853740565084

n=25680: c6773(1145284782......) = 3187480480201373761 * c6754(3593072302......)

# ECM B1=5e4, sigma=1246260140110036

n=25690: c8753(7507450850......) = 5271317516994942755161 * x8732(1424207672......)

# ECM B1=5e4, sigma=2848896015415460

n=25690: x8732(1424207672......) = 2422698268135722172727321 * c8707(5878601107......)

# ECM B1=5e4, sigma=7956286301840131

n=25702: c12577(4364696779......) = 67958445537430857733 * c12557(6422596551......)

# ECM B1=5e4, sigma=904322541292817

n=25724: c12523(7852527969......) = 58905068184363239081 * c12504(1333081891......)

# ECM B1=5e4, sigma=7067056088364347

n=25756: c12491(2404145432......) = 23521690852459124250589 * c12469(1022097198......)

# ECM B1=5e4, sigma=2849035388181854

n=25764: c8064(9901000000......) = 292342078439188497481 * c8044(3386785799......)

# ECM B1=5e4, sigma=7969454339378866

n=25822: c12888(1623983619......) = 2889290953383101044422371011 * c12860(5620699493......)

# ECM B1=5e4, sigma=4233946635913664

n=25844: c10075(7662059648......) = 6468548131700728529 * c10057(1184509953......)

# ECM B1=5e4, sigma=5782760428672429

n=25884: c8580(1514893144......) = 1168754816585702770229161 * c8556(1296159915......)

# ECM B1=5e4, sigma=2428394558554636

n=25996: c12661(2714125497......) = 4291161072906767360941 * c12639(6324921043......)

# ECM B1=5e4, sigma=5933180137564190

September 6, 2023 2023 年 9 月 6 日 (Alfred Reich)

# via Kurt Beschorner

n=100003: c100003(1111111111......) = 20344713431649997102213 * c99980(5461424240......)

# ECM B1=5e4, sigma=594535647173750

n=100055: c80028(2341194000......) = 5629790939588556071 * c80009(4158580709......)

# ECM B1=5e4, sigma=97859507690284

n=100217: c92352(9999999999......) = 98361026928768573919 * c92333(1016662830......)

# ECM B1=5e4, sigma=7076998314357490

n=100607: c90709(5417888717......) = 20736649201333593919 * c90690(2612711757......)

# ECM B1=5e4, sigma=8127054023751811

n=100681: c81649(1111110999......) = 5417171226854557010947 * c81627(2051090787......)

# ECM B1=5e4, sigma=5092497998215949

n=100695: c45696(9999999000......) = 775957984670068009992841 * c45673(1288729441......)

# ECM B1=5e4, sigma=4824313616828660

n=100959: c66235(5497253849......) = 4392167559148222201 * c66217(1251603855......)

# ECM B1=5e4, sigma=4852559643106987

n=100977: c66433(1109999999......) = 3559702376042703889 * c66414(3118238219......)

# ECM B1=5e4, sigma=3891148784262624

n=101225: c80955(1234858934......) = 6213408497381782201 * c80936(1987409865......)

# ECM B1=5e4, sigma=2281062894832762

n=101593: c96222(2109256189......) = 1500684084210317139637871 * c96198(1405529792......)

# ECM B1=5e4, sigma=8363318523946543

n=101725: c74881(1000010000......) = 1874958895852826551 * c74862(5333503589......)

# ECM B1=5e4, sigma=8442158594079672

n=110025: c58301(9915795875......) = 53477770962400854243751 * c58279(1854190198......)

# ECM B1=5e4, sigma=1921196448289488

n=110399: c108254(1720268194......) = 2466110638340113769 * c108235(6975632671......)

# ECM B1=5e4, sigma=3538947811149211

n=110473: c99220(9999999999......) = 31238174336777559449 * c99201(3201211406......)

# ECM B1=5e4, sigma=1338715095211313

n=110633: c109949(9084626264......) = 10179250564897849972704187 * c109924(8924651383......)

# ECM B1=5e4, sigma=3860787498236338

n=110953: c110160(9000000000......) = 363935758268686192985032613 * c110134(2472963921......)

# ECM B1=5e4, sigma=6930159392866605

n=111103: c111094(8333941648......) = 27301454616223028563723 * c111072(3052563229......)

# ECM B1=5e4, sigma=5065846102332280

n=111215: c77952(9000090000......) = 17862456680806835761 * c77933(5038551058......)

# ECM B1=5e4, sigma=954938831109415

n=111293: c87985(1111110999......) = 11465446690004027267 * c87965(9690952564......)

# ECM B1=5e4, sigma=7121670263455486

n=111465: c59425(1001000999......) = 3994216285103084791 * c59406(2506126179......)

# ECM B1=5e4, sigma=2938244976565197

n=111739: c105832(1664149606......) = 4894408167637076852201 * c105810(3400103852......)

# ECM B1=5e4, sigma=1408583670745660

n=111851: c108792(9000000000......) = 2563139818034917747 * c108774(3511318398......)

# ECM B1=5e4, sigma=5564931352818894

n=111867: c63841(1000000100......) = 74484109691090534652253 * c63818(1342568373......)

# ECM B1=5e4, sigma=8077415585425507

n=111929: c102796(2427075463......) = 1386501332473392253834241 * c102772(1750503520......)

# ECM B1=5e4, sigma=516207151192690

n=111983: c110880(9000000000......) = 10291363087087382161 * c110861(8745197233......)

# ECM B1=5e4, sigma=2413313091530882

n=120005: c95981(1155170450......) = 483799324571557204292921 * c95957(2387705794......)

# ECM B1=5e4, sigma=6768560032504216

n=120069: c80028(9999999990......) = 277373047385484175231 * c80008(3605252955......)

# ECM B1=5e4, sigma=2188810952396008

n=120275: c90223(5969275844......) = 46152264749493969151 * c90204(1293387415......)

# ECM B1=5e4, sigma=3338073014786594

n=120407: c101585(1781459463......) = 2620787097814899427 * c101566(6797421526......)

# ECM B1=5e4, sigma=1560290743665886

n=120685: c96539(1242915796......) = 27754294625049754031 * c96519(4478282777......)

# ECM B1=5e4, sigma=4660250205993608

n=120775: c96600(9999900000......) = 1686410801619934601 * c96582(5929693992......)

# ECM B1=5e4, sigma=4138424280374887

n=121373: c103992(9999999000......) = 108220811674281085428769 * c103969(9240365919......)

# ECM B1=5e4, sigma=3303863944837710

n=126247: c109561(1111111111......) = 304886542740348373333 * c109540(3644342912......)

# ECM B1=5e4, sigma=6255339417864962

n=126285: c67345(1109988900......) = 31195545930729842521 * c67325(3558164689......)

# ECM B1=5e4, sigma=3128540771563288

n=126861: c72400(7325877266......) = 5453362014505154032879 * c72379(1343368961......)

# ECM B1=5e4, sigma=6714383894899468

n=126993: c84624(5434160693......) = 18534825235264206133 * c84605(2931865083......)

# ECM B1=5e4, sigma=3337708948390831

n=127107: c81639(1855360357......) = 60380940243560850883 * c81619(3072758307......)

# ECM B1=5e4, sigma=8274182516809239

n=130025: c89041(1000010000......) = 174099034577740347601 * c89020(5743914677......)

# ECM B1=5e4, sigma=4766704763630755

n=130199: c130178(3666922877......) = 869854036203483464557 * c130157(4215561145......)

# ECM B1=5e4, sigma=373257690744341

n=131485: c105184(9000090000......) = 26004531828499824751 * c105165(3460969826......)

# ECM B1=5e4, sigma=6437571979737995

n=140115: c74714(7921979144......) = 17049582130658781841 * c74695(4646435955......)

# ECM B1=5e4, sigma=7987821395556489

n=140195: c101906(2376733666......) = 16551639035007683311 * c101887(1435950640......)

# ECM B1=5e4, sigma=162781931823987

n=140217: c72720(9009009910......) = 2209035110791489884289 * c72699(4078255644......)

# ECM B1=5e4, sigma=4668259829376930

n=140447: c134782(1745787283......) = 1589232730329891671 * c134764(1098509519......)

# ECM B1=5e4, sigma=2310923333674961

n=140867: c140859(1522714415......) = 270678426733001144761 * c140838(5625547753......)

# ECM B1=5e4, sigma=1982108727546113

n=140981: c132647(2372741900......) = 1200525259094830129 * c132629(1976419806......)

# ECM B1=5e4, sigma=6409069288508132

n=141031: c128195(1063594690......) = 4795443154578081281 * c128176(2217927844......)

# ECM B1=5e4, sigma=7808582326077692

n=141269: c141261(1310869214......) = 45426096657190418119 * c141241(2885718365......)

# ECM B1=5e4, sigma=1334858790963770

n=141473: c135288(7571317983......) = 48582899010778652693 * c135269(1558432727......)

# ECM B1=5e4, sigma=2767827375353830

n=142689: c95102(2952134363......) = 15259841844944358763 * c95083(1934577299......)

# ECM B1=5e4, sigma=7757382396527651

n=142991: c136738(3281853345......) = 473672744790578384413 * c136717(6928524771......)

# ECM B1=5e4, sigma=5016666722515947

n=143013: c82937(1425211204......) = 27178730133866278813 * c82917(5243847661......)

# ECM B1=5e4, sigma=99446109395313

n=143061: c93045(4204545340......) = 14764067257656408961 * c93026(2847823209......)

# ECM B1=5e4, sigma=7996985645858999

n=143291: c143276(3253681937......) = 44072811091713033808933 * c143253(7382515108......)

# ECM B1=5e4, sigma=6180548459520891

n=143425: c114720(9999900000......) = 8191950545028611201 * c114702(1220698287......)

# ECM B1=5e4, sigma=1850255389576127

n=149173: c149155(5527450107......) = 17923061505017008441609 * c149133(3083987691......)

# ECM B1=5e4, sigma=242363810641790

n=149203: c144333(3205061651......) = 2930014868559675107 * c144315(1093872145......)

# ECM B1=5e4, sigma=7461221597708332

n=149225: c115907(3021286710......) = 3903461242312981001 * c115888(7740019748......)

# ECM B1=5e4, sigma=3211785672377635

n=150031: c128554(2036011044......) = 905781430210404489281 * c128533(2247795081......)

# ECM B1=5e4, sigma=8768765867256834

n=150249: c87340(1837091869......) = 52913487550372735803133 * c87317(3471878257......)

# ECM B1=5e4, sigma=6758764953096229

n=150461: c142505(2712999637......) = 773469496320853465769 * c142484(3507571598......)

# ECM B1=5e4, sigma=8532232935592286

n=150549: c83939(6452676049......) = 162343245335709043369 * c83919(3974711751......)

# ECM B1=5e4, sigma=4322598068736047

n=150891: c89856(9009009009......) = 615602361244466509759 * c89836(1463446142......)

# ECM B1=5e4, sigma=3399063433453234

n=150907: c150895(5047415096......) = 2004653701230171241 * c150877(2517848889......)

# ECM B1=5e4, sigma=2339629533898241

n=150963: c100640(9009009009......) = 72617823766089348151 * c100621(1240605755......)

# ECM B1=5e4, sigma=6601723578810524

n=150983: c129408(9000000900......) = 2015211585692245006361 * c129387(4466032730......)

# ECM B1=5e4, sigma=4001179796980163

n=151023: c100680(9009009009......) = 38900175954610775053 * c100661(2315930143......)

# ECM B1=5e4, sigma=5168219804222660

n=160333: c153327(1508961491......) = 2008316371256046403 * c153308(7513564661......)

# ECM B1=5e4, sigma=6948797170072116

n=170097: c107865(1875142211......) = 642508018082076645991 * c107844(2918472858......)

# ECM B1=5e4, sigma=4231646193505

n=170361: c108480(2977939298......) = 4512286592013196574507557 * c108455(6599623579......)

# ECM B1=5e4, sigma=2527002629327151

n=170425: c128001(1000010000......) = 80693366865822046042801 * c127978(1239271626......)

# ECM B1=5e4, sigma=700423591452305

n=180451: c174594(4156251024......) = 4005197522361364489 * c174576(1037714370......)

# ECM B1=5e4, sigma=6986232959492860

n=180523: c138232(1220743095......) = 9554975175754035195449 * c138210(1277599442......)

# ECM B1=5e4, sigma=3736554484754378

n=180669: c120444(9009009009......) = 5013548345074131001 * c120426(1796932708......)

# ECM B1=5e4, sigma=5941165231390033

n=180931: c163969(1111111111......) = 6359432587262935223453573 * c163944(1747185925......)

# ECM B1=5e4, sigma=5484926323620132

n=190063: c190063(1111111111......) = 13754301302988830617672157 * x190037(8078281016......)

# ECM B1=5e4, sigma=3730055170725402

n=190315: c143220(5188977935......) = 1394735076809782152031 * c143199(3720403983......)

# ECM B1=5e4, sigma=5666841104099205

n=195067: c192936(8360555421......) = 1555023860305843 * x192921(5376480473......)

# ECM B1=5e4, sigma=3967879607914989

n=200011: c171407(4104652362......) = 2252875596352825529 * c171389(1821961394......)

# ECM B1=5e4, sigma=7278116207764625

n=200187: c116918(3031794679......) = 11364848270915763344293 * c116896(2667694814......)

# ECM B1=5e4, sigma=4876847570239634

n=200255: c145201(1000000000......) = 2410489291087474081 * c145182(4148535335......)

# ECM B1=5e4, sigma=2664437126528955

n=200339: x197972(5167819461......) = 2483032612537634747 * x197954(2081253156......)

# ECM B1=5e4, sigma=7288884381243814

n=200347: c171700(3375008060......) = 2639968792317403919 * c171682(1278427256......)

# ECM B1=5e4, sigma=2902416964397534

n=201569: c185902(2897291480......) = 15784225472370947 * x185886(1835561387......)

# ECM B1=5e4, sigma=6546650712575922

n=209027: c165313(1111110999......) = 27853656104845042280643563 * c165287(3989102887......)

# ECM B1=5e4, sigma=2071203804517986

n=209245: c167370(1043184959......) = 18945662155931398927951 * c167347(5506194244......)

# ECM B1=5e4, sigma=4331765017938366

n=209415: c106656(9009099100......) = 58623114913186908961 * c106637(1536782737......)

# ECM B1=5e4, sigma=4717423925930532

n=209467: c194859(4495236403......) = 13901676934440492880757 * x194837(3233592914......)

# ECM B1=5e4, sigma=5821198498862966

n=209595: c109824(9009099100......) = 26893882286604007846921 * c109802(3349869313......)

# ECM B1=5e4, sigma=1658191210795603

n=209709: c139644(9999999999......) = 3004342370468484154093 * c139623(3328515450......)

# ECM B1=5e4, sigma=2729072762040459

n=210149: c203333(4370076956......) = 627976728865893883523 * x203312(6958979139......)

# ECM B1=5e4, sigma=7443701495004129

n=210193: c210177(1895184317......) = 52452025574399168827 * x210157(3613176605......)

# ECM B1=5e4, sigma=5254027410576240

n=216005: c172800(9000090000......) = 1261696241484732271 * c172782(7133325522......)

# ECM B1=5e4, sigma=6873038598620682

n=216007: c192951(4835369637......) = 5152571144042855413 * x192932(9384382092......)

# ECM B1=5e4, sigma=778256388058910

n=216021: c127660(3324747481......) = 6922021704478472203 * c127641(4803145127......)

# ECM B1=5e4, sigma=4009813979134040

n=220011: c129912(4221442614......) = 36183193116728016283 * c129893(1166686035......)

# ECM B1=5e4, sigma=2812699942591778

n=220111: c217863(2448117639......) = 20630245724054443667 * x217844(1186664314......)

# ECM B1=5e4, sigma=6675386577326172

n=227081: c227081(1111111111......) = 844742828048289973717 * x227060(1315324705......)

# ECM B1=5e4, sigma=3303403827367144

n=227109: c151397(2179572289......) = 144659939941424361319 * c151377(1506686847......)

# ECM B1=5e4, sigma=1174136913990311

n=227433: c148296(2947196991......) = 9179943205278763 * c148280(3210474101......)

# ECM B1=5e4, sigma=4624328726911596

n=249907: c202825(1111110999......) = 8573923861822784753471 * x202803(1295918902......)

# ECM B1=5e4, sigma=8158160362421764

n=249943: c249905(2603958239......) = 21390930171605673213089 * x249883(1217318844......)

# ECM B1=5e4, sigma=3500061900016680

n=250005: c114233(3833582740......) = 7243069315574641711 * c114214(5292759979......)

# ECM B1=5e4, sigma=6144673663926845

n=270007: x268400(9387862069......) = 69710780854839941041 * x268381(1346687263......)

# ECM B1=5e4, sigma=7579415335783810

n=270069: c180034(1739906071......) = 1641967321586188975957 * c180013(1059647198......)

# ECM B1=5e4, sigma=7947735440385479

n=290099: x277443(4693189018......) = 7668307522447258253176476751 * x277415(6120241011......)

# ECM B1=5e4, sigma=5403257925080204

Largest known factors that appear after the previous one
  1  n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017)
  2  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  3  n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020)
  4  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  5  n=1740M: 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner / Jun 27, 2021)
  6  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  7  n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017)
  8  n=2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 (George Bradshaw / Feb 19, 2023)
  9  n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018)
  10  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  11  n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018)
  12  n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018)
  13  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  14  n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017)
  15  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  16  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  17  n=290099: 7668307522447258253176476751 (Alfred Reich / Sep 6, 2023)
  18  n=299011: 221045463366486747587120747 (Alfred Reich / Feb 18, 2019)
  19  n=299807: 1096020580210100960507 (Alfred Reich / Feb 18, 2019)
  20  n=299912: 107911061915460883817 (Kurt Beschorner / Oct 11, 2020)
  21  n=299942: 83308428885922445773 (Kurt Beschorner / Oct 25, 2021)
  22  n=299992: 8045689530757649 (Makoto Kamada / Oct 23, 2021)
  23  n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021)
  24  n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019)

# 210635 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210635 個の Φ_n(10) の素因数が見つかりました。

# 20004 of 25997 R_prime factorizations were cracked. 25997 個中 20004 個の R_prime の素因数が見つかりました。

September 4, 2023 2023 年 9 月 4 日 (Alfred Reich)

# via Kurt Beschorner

n=20061: c13343(1312741733......) = 11644123391449159627 * c13324(1127385625......)

# ECM B1=5e4, sigma=3738650577003889

n=20077: c18853(5105484330......) = 1219338302440944263046529 * c18829(4187094197......)

# ECM B1=5e4, sigma=7189329280714430

n=20107: c20080(4483472198......) = 9664071506514257781841 * c20058(4639320182......)

# ECM B1=1e6, sigma=4443576407690445

n=20133: c13389(2456442099......) = 53221271969388426643 * c13369(4615526852......)

# ECM B1=5e4, sigma=3940617112536767

n=20155: c15448(1360440249......) = 1302933407376021130053151 * c15424(1044136440......)

# ECM B1=1e6, sigma=5708323216015293

n=20163: c11013(6673827472......) = 1443589303455001561 * c10995(4623079054......)

# ECM B1=5e4, sigma=984165111304719

n=20165: c15553(1111099999......) = 88921997185214659978991 * x15530(1249522092......)

# ECM B1=1e5, sigma=2755643812108922

n=20165: x15530(1249522092......) = 657622020371419564501991 * c15506(1900061211......)

# ECM B1=5e4, sigma=1180093911528456

n=20167: c16614(6772672788......) = 1026192309738800043533 * c16593(6599808558......)

# ECM B1=25e4

n=20241: c12369(8898424026......) = 9844602540427299763 * c12350(9038886019......)

# ECM B1=25e4, sigma=2844619428139689

n=20253: c13076(1142837768......) = 6051278351643567558169 * c13054(1888588991......)

# ECM B1=25e4, sigma=3816065583574168

n=20277: c13486(1243370172......) = 36786173091385327688431 * c13463(3379993264......)

# ECM B1=5e4, sigma=1267005263194464

n=20279: c17370(1509553864......) = 4852709120599838296933 * c17348(3110744590......)

# ECM B1=1e6, sigma=6940297747227889

n=20291: c19972(6779130671......) = 2797442228299575113519 * c19951(2423331785......)

# ECM B1=1e6, sigma=56135993074278

n=20307: c11554(5099845136......) = 1034104405396668879900860773 * c11527(4931654008......)

# ECM B1=1e6, sigma=5330885590967501

n=20319: c12454(1877253816......) = 12891097336609412467 * c12435(1456240510......)

# ECM B1=5e4, sigma=4032515247626942

n=20383: c17275(1009474218......) = 82271842018588920853 * c17255(1226998440......)

# ECM B1=1e6, sigma=7425358626941635

n=20395: c16297(3774393038......) = 996484580619183910151 * c16276(3787708422......)

# ECM B1=1e6, sigma=4797749628256707

n=20437: c20140(9000000000......) = 3205963346408169799 * c20122(2807268526......)

# ECM B1=25e4, sigma=6708147494734468

n=20465: c16360(2185783413......) = 78978040084054620791 * c16340(2767583762......)

# ECM B1=1e6, sigma=8150900031010033

n=20511: c13094(2119348586......) = 221666506840496349757 * c13073(9560977960......)

# ECM B1=1e6, sigma=6887783615396870

n=20533: c20527(1288413567......) = 54811490266359417079 * c20507(2350626777......)

# ECM B1=1e6, sigma=2764350465288900

n=20591: c20153(1328469624......) = 1188043559620381799 * c20135(1118199424......)

# ECM B1=25e4, sigma=907757110569177

n=20607: c13727(1471745421......) = 1666841363002116151 * c13708(8829547033......)

# ECM B1=5e4, sigma=5077463487751191

n=20787: c12453(1439438960......) = 2947907677185169149751 * c12431(4882917369......)

# ECM B1=25e4, sigma=6222650370605888

n=20833: c20485(7718854890......) = 49296259959813973507 * c20466(1565809433......)

# ECM B1=25e4, sigma=1111088494179125

n=20889: c12601(1001000999......) = 301643987765430648493 * c12580(3318484838......)

# ECM B1=25e4, sigma=7158216874545141

n=20933: c18908(9755000224......) = 3851456060860165957 * c18890(2532808390......)

# ECM B1=5e4, sigma=8445347794673268

n=20969: c19317(5207962676......) = 216488465621603949671 * c19297(2405653650......)

# ECM B1=5e4, sigma=1598870866751221

n=20993: c17988(9000000900......) = 7487326185444125399 * c17970(1202031363......)

# ECM B1=5e4, sigma=1896741118554188

n=21043: c19112(8888106121......) = 1681521923429432119289 * c19091(5285750960......)

# ECM B1=5e4, sigma=1432600355952847

n=21047: c19416(9000000000......) = 5083175398603168907 * c19398(1770546812......)

# ECM B1=25e4, sigma=6142978356177156

n=21095: c16862(8509460938......) = 168241044052385318971823791 * c16836(5057898318......)

# ECM B1=25e4, sigma=2466681277749872

n=21131: c17901(1362121420......) = 6581097400805981292562093 * c17876(2069748155......)

# ECM B1=25e4, sigma=7617895514109892

n=21133: c18098(1095208584......) = 374364627547326284093 * c18077(2925513000......)

# ECM B1=5e4, sigma=1879246604071749

n=21275: c15813(1055608148......) = 113247392748430558479401 * c15789(9321257850......)

# ECM B1=25e4, sigma=4021595015040861

n=21309: c14200(1056936425......) = 1682102621788517303803 * c14178(6283424160......)

# ECM B1=5e4, sigma=7199591884150326

n=21381: c14237(8518750363......) = 62979273876527454087919 * c14215(1352627592......)

# ECM B1=5e4, sigma=4097737732394478

n=21385: c13240(5208663220......) = 133917717192041641951 * c13220(3889450425......)

# ECM B1=5e4, sigma=966978191897448

n=21415: c17115(1456715118......) = 3703933135120296994831 * c17093(3932887190......)

# ECM B1=25e4, sigma=7258234707430921

n=21449: c21095(4912031113......) = 39139251514466358745003 * c21073(1255014064......)

# ECM B1=25e4, sigma=2594652506400221

n=21471: c13421(7085364861......) = 1146649548314321708551 * c13400(6179189510......)

# ECM B1=5e4, sigma=1028297134150628

n=21541: c19845(1655175433......) = 89531796659076185597 * c19825(1848701238......)

# ECM B1=5e4, sigma=1504349525925779

n=21651: c12343(7893985377......) = 91301440019892852667 * c12323(8646068863......)

# ECM B1=5e4, sigma=2289041521363997

n=21723: c13339(1161315027......) = 39479086403061246163 * c13319(2941595495......)

# ECM B1=25e4, sigma=4370727298401755

n=21731: c20978(3527295118......) = 282554516859387833729 * c20958(1248359133......)

# ECM B1=25e4, sigma=7350563451086479

n=21849: c14517(1928270357......) = 7446015418236903705286517653 * p14489(2589667424......)

# ECM B1=5e4, sigma=7727566188915725

makoto@bellatrix /cygdrive/d/factor2/repunit2
$ ./pfgw64 -tc -q"(10^21849-1)/111/(10^7283-1)/6117721/49815721/2309745187/663726164313198872581279/7446015418236903705286517653"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

Primality testing (10^21849-1)/111/(10^7283-1)/6117721/49815721/2309745187/663726164313198872581279/7446015418236903705286517653 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)

Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.16% proof)
(10^21849-1)/111/(10^7283-1)/6117721/49815721/2309745187/663726164313198872581279/7446015418236903705286517653 is Fermat and Lucas PRP! (9.4049s+0.0010s)

n=21957: c13474(4744516890......) = 13912454312281467849037 * c13452(3410265927......)

# ECM B1=25e4, sigma=1264483255354110

n=21989: c19980(9000000000......) = 62721572695475613679 * c19961(1434912999......)

# ECM B1=25e4, sigma=4141927973495282

n=22119: c14401(1109999999......) = 40113239452915820881 * c14381(2767166190......)

# ECM B1=5e4, sigma=1880362901275883

n=22181: c21600(9000000000......) = 2564525672997167288359 * c21579(3509420901......)

# ECM B1=5e4, sigma=3641162792652788

n=22257: c14812(5629926615......) = 592170902768510003395747 * c14788(9507266548......)

# ECM B1=25e4, sigma=8419209520084873

n=22623: c15065(8903493283......) = 9240833283252045439 * c15046(9634946341......)

# ECM B1=25e4, sigma=6907611826444213

n=22635: c12041(9698155153......) = 76568682480572786401 * c12022(1266595537......)

# ECM B1=25e4, sigma=2854354769621620

n=22645: c15489(7647833720......) = 85697760024308158721 * c15469(8924193255......)

# ECM B1=5e4, sigma=1721571545704329

n=22771: c19495(4193548365......) = 160708606823554877627 * c19475(2609411187......)

# ECM B1=25e4, sigma=774364203398640

n=22789: c21002(2393053965......) = 5922436937460240809 * c20983(4040657571......)

# ECM B1=5e4, sigma=7722857975290973

n=22791: c14841(1109999999......) = 161505397621633042130653 * c14817(6872835312......)

# ECM B1=25e4, sigma=2694132711798693

n=22945: c16888(1745907603......) = 7761172983099635321 * x16869(2249540896......)

# ECM B1=5e4, sigma=3791012312153973

n=22945: x16869(2249540896......) = 21628079856446135690281 * c16847(1040101993......)

# ECM B1=25e4, sigma=6869374785378412

n=22979: c20847(4695631136......) = 7620100476439864733 * c20828(6162164332......)

# ECM B1=25e4, sigma=6211780580896917

n=23007: c15336(9009009009......) = 401651743087488774289 * c15316(2242990143......)

# ECM B1=25e4, sigma=6205324917864385

n=23051: c19001(2362857330......) = 3052708557617122643 * c18982(7740199518......)

# ECM B1=5e4, sigma=2861088268048990

n=23191: c19872(9000000900......) = 44086619260886405478331351 * c19847(2041435939......)

# ECM B1=5e4, sigma=6578010715392250

n=23407: c22995(4895530703......) = 536999593430107147027 * c22974(9116451416......)

# ECM B1=25e4, sigma=2966996839897338

n=23485: c14400(9000090900......) = 1182792173449822325804690431 * c14373(7609190441......)

# ECM B1=5e4, sigma=8172270983916296

n=23613: c14770(5742090851......) = 101825451542034628363 * c14750(5639150884......)

# ECM B1=25e4, sigma=7201634812188217

n=23631: c15752(9009009009......) = 4664668944058326056171323 * c15728(1931328700......)

# ECM B1=25e4, sigma=4963515336890955

n=23763: c15664(9999999999......) = 12380130872358816643 * c15645(8077459037......)

# ECM B1=5e4, sigma=8254824316067459

n=23843: c23495(4464117695......) = 21404463452727663911 * c23476(2085601307......)

# ECM B1=5e4, sigma=5331057381705691

n=23925: c11165(1615262841......) = 2454909200262498038510551 * c11140(6579725396......)

# ECM B1=25e4, sigma=5036053683880720

n=23971: c23942(1628562137......) = 39106648913204613809 * c23922(4164412403......)

# ECM B1=5e4, sigma=6415808492027784

n=24001: c23973(3110641770......) = 4612399311352957466812997 * c23948(6744086018......)

# ECM B1=5e4, sigma=4645031667181798

n=24051: c16012(1102968341......) = 1665385762738222573 * c15993(6622900027......)

# ECM B1=5e4, sigma=7390200991775040

n=24105: c12849(1109988900......) = 68915991295100704681 * c12829(1610640548......)

# ECM B1=5e4, sigma=1772551175880261

n=24159: c16093(7439276241......) = 9106129849217807239 * c16074(8169525764......)

# ECM B1=25e4, sigma=2606476125673358

n=24169: c24150(2067292324......) = 1019905942671169679 * c24132(2026944092......)

# ECM B1=5e4, sigma=6908975953278291

n=24325: c16554(1223523072......) = 15459385895361667001 * c16534(7914435158......)

# ECM B1=5e4, sigma=917746938015938

n=24369: c16229(1172676482......) = 1219531899941049249031 * c16207(9615791784......)

# ECM B1=5e4, sigma=6880150546950699

n=24453: c12903(1200137426......) = 1089881297636492791 * c12885(1101163428......)

# ECM B1=5e4, sigma=3281300485855748

n=24523: c24190(4214347275......) = 55455309937875947688643 * c24167(7599537863......)

# ECM B1=25e4, sigma=8113683382956768

n=24531: c13801(2143755817......) = 38666294137432137109519 * c13778(5544249493......)

# ECM B1=25e4, sigma=6814967126242143

n=24697: c24685(3210561925......) = 319024122742949150713573 * c24662(1006369643......)

# ECM B1=25e4, sigma=3573328392704625

n=24811: c24187(6045664922......) = 1042460186218508981507 * c24166(5799420450......)

# ECM B1=25e4, sigma=3010705469633398

n=24939: c15538(5994799324......) = 555536282594386517929 * c15518(1079101313......)

# ECM B1=25e4, sigma=7205288760702779

n=24953: c24937(1421663654......) = 13833156584506729844147 * c24915(1027721797......)

# ECM B1=5e4, sigma=7646975366722210

n=24985: c18854(1854040529......) = 6293605355811100351 * c18835(2945911642......)

# ECM B1=5e4, sigma=1793660766844704

n=25105: c20080(9000090000......) = 510981652572170762542591 * c20057(1761333299......)

# ECM B1=5e4, sigma=287294586058392

n=25167: c16761(1368596061......) = 4002241635914073679 * c16742(3419573793......)

# ECM B1=25e4, sigma=5701531410232205

n=25201: c21822(1459961196......) = 31762584066833986081 * c21802(4596481172......)

# ECM B1=25e4, sigma=3495933599822233

n=25211: c23688(9097489720......) = 7369460445674790391 * c23670(1234485182......)

# ECM B1=25e4, sigma=4296749399500355

n=25465: c18481(1111099999......) = 1091822206186965881 * c18463(1017656532......)

# ECM B1=5e4, sigma=3751255301324287

n=25565: c20440(1766773711......) = 8306557104270339671 * c20421(2126962698......)

# ECM B1=5e4, sigma=6696228472050728

n=25647: c16729(1109999999......) = 473193572328666135011315827 * c16702(2345763055......)

# ECM B1=25e4, sigma=3347652631372815

n=25667: c25650(1226353883......) = 2226816769213402694947 * c25628(5507206070......)

# ECM B1=25e4, sigma=4377389141477910

n=25715: c19854(3190884385......) = 94176112568337774641 * c19834(3388209916......)

# ECM B1=25e4, sigma=2323661915575537

n=25949: c20153(1828310372......) = 2752511110777606333 * c20134(6642336031......)

# ECM B1=5e4, sigma=5651537455426667

n=25991: c21513(5548609574......) = 27098375946244977230609999 * c21488(2047580115......)

# ECM B1=5e4, sigma=3820621531797510

n=26037: c15721(1001000999......) = 174740816555770873123 * c15700(5728489884......)

# ECM B1=5e4, sigma=3485850368342278

n=26039: c24024(9000000000......) = 13508424730064743961 * c24005(6662508900......)

# ECM B1=5e4, sigma=8853689107787087

n=26093: c25714(5416357975......) = 52741813814137185853 * c25695(1026957092......)

# ECM B1=5e4, sigma=473350521317396

n=26163: c15506(6367266999......) = 347957116776761398399 * c15486(1829899919......)

# ECM B1=5e4, sigma=3309571010589094

n=26337: c17556(9009009009......) = 2444330794020801253 * c17538(3685675044......)

# ECM B1=75e4, sigma=7092147793512346

n=26347: c26324(2692796744......) = 20765050560687192209 * c26305(1296792770......)

# ECM B1=5e4, sigma=8746336382539983

n=26361: c16788(1434066971......) = 2173490320549377241 * c16769(6597991063......)

# ECM B1=75e4, sigma=1730552594291973

n=26385: c14046(1841749984......) = 394701888034481102917081 * c14022(4666179817......)

# ECM B1=25e4, sigma=1977062452597011

n=26481: c13806(1402665645......) = 2174227064616473413 * c13787(6451330078......)

# ECM B1=5e4, sigma=8588489414128550

n=26517: c17664(9886037573......) = 1007536842781167481 * c17646(9812085428......)

# ECM B1=25e4, sigma=975363861367143

n=26581: c25164(9000000000......) = 3973953850819273081 * c25146(2264746984......)

# ECM B1=25e4, sigma=3377627898977391

n=26629: c25722(5345641723......) = 4625359591861855185197 * c25701(1155724569......)

# ECM B1=25e4, sigma=5683804860401271

n=26663: c21025(1111110999......) = 79124694872248055213 * c21005(1404253124......)

# ECM B1=75e3, sigma=3499872870495824

n=26719: c20746(1404934932......) = 235654702299661158047227 * c20722(5961837038......)

# ECM B1=5e4, sigma=8259817364180125

n=26729: c26721(3079221986......) = 7811960870098478899441 * c26699(3941676151......)

# ECM B1=5e4, sigma=4435121459110788

n=26733: c14256(9009009909......) = 3891277992890124481 * c14238(2315180238......)

# ECM B1=5e4, sigma=7624513262040130

n=26741: c21113(1842155597......) = 77592317840487171725719 * c21090(2374146885......)

# ECM B1=5e4, sigma=8722039300255102

n=26823: c17880(9009009009......) = 39805199176628572711 * c17861(2263274445......)

# ECM B1=5e4, sigma=3144855740427595

n=26857: c26500(9000000000......) = 3200650518365668877 * c26482(2811928371......)

# ECM B1=75e3, sigma=8311106460991701

n=26911: c25305(1281362941......) = 3382088229725278513757 * c25283(3788673904......)

# ECM B1=75e3, sigma=1947597963095961

n=26957: c23100(9000000900......) = 1165670701943833436569 * c23079(7720877675......)

# ECM B1=5e4, sigma=3484426313284042

n=27099: c18055(2633195130......) = 1580746868636514067 * c18037(1665791774......)

# ECM B1=5e4, sigma=4840393758253539

n=27135: c14241(3094447094......) = 1899665771615261191 * c14223(1628942912......)

# ECM B1=5e4, sigma=6798260847751348

n=27171: c18091(1873927595......) = 2546511443482104258031 * c18069(7358802963......)

# ECM B1=25e4, sigma=107261654945302

n=27311: c26400(9000000000......) = 134156651665689532169 * c26380(6708575302......)

# ECM B1=5e4, sigma=2155828718384115

n=27315: c14535(1249056484......) = 104571521278302991681 * c14515(1194451863......)

# ECM B1=25e4, sigma=8512332825066824

n=27457: c27431(2247398547......) = 139309518440443473377317 * c27408(1613241200......)

# ECM B1=5e4, sigma=2150755235873498

n=27483: c18306(2204158087......) = 3328079835659756132173 * c18284(6622912297......)

# ECM B1=25e4, sigma=948461739116732

n=27505: c22000(9000090000......) = 3909336339244146360551 * c21979(2302204062......)

# ECM B1=5e4, sigma=7145517094981552

n=27511: c23971(3118239978......) = 124356453932297910797 * c23951(2507501524......)

# ECM B1=25e4, sigma=4792278351885884

n=27575: c22033(7952712064......) = 23159152644497326001 * x22014(3433939137......)

# ECM B1=25e4, sigma=1667882574430291

n=27575: x22014(3433939137......) = 2248301969630905663801 * c21993(1527347831......)

# ECM B1=5e4, sigma=4831567102795509

n=27603: c18396(9990000009......) = 762663883464664120293031 * x18373(1309882403......)

# ECM B1=25e4, sigma=4875646619462746

n=27603: x18373(1309882403......) = 41936727382969234969 * c18353(3123473111......)

# ECM B1=5e4, sigma=67531369176501

n=27607: c26136(9000000000......) = 1423820167095784369 * c26118(6321022983......)

# ECM B1=5e4, sigma=1166183343250396

n=27807: c15815(7966293019......) = 5005533699524146253089 * c15794(1591497230......)

# ECM B1=5e4, sigma=6044388473068870

n=27829: c26154(6463249090......) = 37934561515470200519 * c26135(1703789060......)

# ECM B1=5e4, sigma=602832886284192

n=27837: c18531(3648232038......) = 7368372063428230639 * c18512(4951204970......)

# ECM B1=5e4, sigma=5314217655609890

n=27839: c23029(1857299714......) = 4175078033728291328360401 * c23004(4448538923......)

# ECM B1=5e4, sigma=1886275514974351

n=27847: c27819(2416190663......) = 10684833027934348748987 * c27797(2261327488......)

# ECM B1=5e4, sigma=6434824438270328

n=27863: c23666(3561910790......) = 302450456183934464209 * c23646(1177684052......)

# ECM B1=5e4, sigma=8906686164518957

n=27867: c15888(2476023310......) = 144066968636536602973 * c15868(1718661351......)

# ECM B1=5e4, sigma=1484292070403512

n=27869: c26022(6606725065......) = 31421285642199805707163 * c26000(2102627225......)

# ECM B1=5e4, sigma=7542460257392752

n=27871: c27225(2690969027......) = 3002157354184487437 * c27206(8963450977......)

# ECM B1=25e4, sigma=773116003485805

n=27873: c17472(1000219190......) = 281748340521076688569 * c17451(3550044654......)

# ECM B1=5e4, sigma=7236575746856422

n=27891: c18554(9171361633......) = 6844393028823141032732053 * c18530(1339981733......)

# ECM B1=5e4, sigma=8718213879495634

n=27893: c27853(2551919380......) = 165068610734012542889 * c27833(1545974954......)

# ECM B1=25e4, sigma=5048708330307956

n=27901: c27854(1148624224......) = 375175486287564675641 * c27833(3061565231......)

# ECM B1=5e4, sigma=5873661045213575

n=27913: c27519(7240257366......) = 15010926510175946677 * c27500(4823324770......)

# ECM B1=5e4, sigma=364565775719975

n=27937: c22021(1688119282......) = 980684017047283340475206797 * c21994(1721369220......)

# ECM B1=5e4, sigma=3165872265356564

n=27949: c26436(5698453833......) = 22311876760341952186841 * c26414(2554000228......)

# ECM B1=5e4, sigma=3384742568158626

n=27955: c22347(1450830157......) = 8396957650084620835635871 * x22322(1727804542......)

# ECM B1=5e4, sigma=8798998162985350

n=27955: x22322(1727804542......) = 148521972177274708429111 * c22299(1163332615......)

# ECM B1=5e4, sigma=8914456245981689

n=27959: c27504(9000000000......) = 33992311436996515363 * c27485(2647657549......)

# ECM B1=5e4, sigma=2115814563978507

n=27971: c27552(9000000000......) = 86553572238708248960847947 * c27527(1039818434......)

# ECM B1=5e4, sigma=443017691681072

n=27977: c27587(2557033952......) = 22680094475342010199 * c27568(1127435318......)

# ECM B1=25e4, sigma=7803866971550843

n=27999: c17261(1575005032......) = 50568044417596192969 * c17241(3114625156......)

# ECM B1=5e4, sigma=7159347803893281

n=28061: c25500(9000000000......) = 137908252919271828095279 * c25477(6526077888......)

# ECM B1=25e4, sigma=4822939073250480

n=28095: c14956(4194726027......) = 29135940124527545431 * c14937(1439708486......)

# ECM B1=5e4, sigma=2511206760344418

n=28145: c20728(4021771047......) = 12865551816064074271 * c20709(3125999649......)

# ECM B1=5e4, sigma=3399328728057069

n=28151: c28133(1023905439......) = 1961302195999487016917 * c28111(5220538893......)

# ECM B1=5e4, sigma=1675197979113611

n=28167: c18229(9715744534......) = 2405304783808699879 * c18211(4039298719......)

# ECM B1=25e4, sigma=5495458382264319

n=28173: c18769(1994385910......) = 1171715588486932987 * c18751(1702107516......)

# ECM B1=5e4, sigma=5902622765001213

n=28201: c28195(3283299137......) = 46075618877477853331643 * c28172(7125892647......)

# ECM B1=5e4, sigma=6136051097265709

n=28245: c12848(9388919552......) = 273141810946391336671 * c12828(3437379110......)

# ECM B1=5e4, sigma=4269360924816203

n=28253: c26728(9137005551......) = 12426230014821873311 * c26709(7352998890......)

# ECM B1=5e4, sigma=8568016179760907

n=28485: c15121(1000000001......) = 62500227744125335951 * c15101(1599994171......)

# ECM B1=5e4, sigma=743972327060869

n=28637: c24520(1455965555......) = 179645732232663468521 * c24499(8104648729......)

# ECM B1=5e4, sigma=3429419272963552

n=28671: c18073(1109999999......) = 2823012218878108727563 * c18051(3931970228......)

# ECM B1=5e4, sigma=7184715708619129

n=28685: c22919(6137679217......) = 4114041271897904231 * c22901(1491885669......)

# ECM B1=5e4, sigma=1850255389576127

n=28763: c24612(9999999000......) = 140510149703934850547 * c24592(7116922884......)

# ECM B1=5e4, sigma=671677599327700

n=28903: c24759(5352488865......) = 1481513400900806988686011307 * c24732(3612852143......)

# ECM B1=25e4, sigma=3874718965106149

n=28963: c26290(1731797473......) = 18224713987653379051253 * c26267(9502467226......)

# ECM B1=5e4, sigma=3553272199407102

n=29125: c23184(1210025991......) = 1163918367915122166751 * c23163(1039614138......)

# ECM B1=25e4, sigma=2399930895786727

n=29151: c18711(1068210433......) = 2313845232393447163 * c18692(4616602780......)

# ECM B1=5e4, sigma=2613879024492136

n=29259: c19468(6783712743......) = 268685301097101514123 * c19448(2524779999......)

# ECM B1=5e4, sigma=2508686247010814

n=29353: c29003(7665250014......) = 3380644247224565011213 * c28982(2267393270......)

# ECM B1=25e4, sigma=2223583168154352

n=29477: c25247(1281698112......) = 5920502996301603557 * c25228(2164846658......)

# ECM B1=5e4, sigma=6793358841696448

n=29499: c19627(3197468772......) = 43639009167355200530797 * c19604(7327088384......)

# ECM B1=5e4, sigma=2664807837569559

n=29523: c18130(2374814974......) = 3730046785093557166223364991 * c18102(6366716321......)

# ECM B1=25e4, sigma=2201699675927221

n=29601: c15833(4635832184......) = 43610220181431958627 * c15814(1063015083......)

# ECM B1=25e4, sigma=978979244492481

n=29637: c18990(2601952355......) = 1033891132770475363 * c18972(2516659900......)

# ECM B1=5e4, sigma=5646635139993152

n=29665: c22273(1111099999......) = 288509979501075738191 * c22252(3851166611......)

# ECM B1=5e4, sigma=3689074847798434

n=29905: c23920(9000090000......) = 21968635526250706961 * c23901(4096790622......)

# ECM B1=25e4, sigma=3176545718831589

n=29971: c26852(5447840282......) = 1231463190949372477 * c26834(4423875859......)

# ECM B1=25e4, sigma=1692767303802837

n=30043: c27688(1191558907......) = 256608828982606188999067 * c27664(4643483671......)

# ECM B1=5e4, sigma=3788733868869269

n=30051: c16826(5310926409......) = 144357173637576161599 * c16806(3679018004......)

# ECM B1=25e4, sigma=2680715242948379

n=30283: c27515(2476630241......) = 393793487288406467351 * c27494(6289159983......)

# ECM B1=25e4, sigma=6714078394353788

n=30301: c29926(7456286884......) = 4670353308824803183403 * c29905(1596514522......)

# ECM B1=25e4, sigma=1932620169492534

n=30365: c24288(9000090000......) = 211960048855676150641 * c24268(4246125649......)

# ECM B1=25e4, sigma=1066771551723055

n=30435: c16213(1355560140......) = 22672488340847036071 * c16193(5978876777......)

# ECM B1=25e4, sigma=4141417420250364

n=30475: c22873(7041653995......) = 79967256570767407801 * c22853(8805671592......)

# ECM B1=25e4, sigma=1842865539165486

n=30545: c23674(4663567135......) = 31117681545711237671 * c23655(1498687210......)

# ECM B1=25e4, sigma=2712320250180581

n=30585: c16305(1109988900......) = 725700765927447692281 * c16284(1529540758......)

# ECM B1=25e4, sigma=5160542029224700

n=30609: c19207(1733742282......) = 4389843104738167213 * c19188(3949440199......)

# ECM B1=5e4, sigma=1619752880732485

n=30721: c29683(2676787452......) = 146032319920233874595191 * c29660(1833010291......)

# ECM B1=25e4, sigma=4912592789385399

n=30739: c30145(7510806702......) = 27664836653195275411849 * c30123(2714928989......)

# ECM B1=25e4, sigma=4432372483880529

n=30783: c19801(1109999999......) = 2390088461428038426919 * c19779(4644179568......)

# ECM B1=5e4, sigma=8635601555073534

n=30785: c23921(1111099999......) = 2060407722263660321 * c23902(5392621994......)

# ECM B1=25e4, sigma=3816676756617119

n=30821: c24188(1622244374......) = 4879211679310182733 * c24169(3324808353......)

# ECM B1=25e4, sigma=3909569931730637

n=30901: c28481(2121069991......) = 169031854824508427519 * c28461(1254834476......)

# ECM B1=25e4, sigma=694250459856356

n=31085: c24850(6397981225......) = 9506365640207423161 * c24831(6730207386......)

# ECM B1=25e4, sigma=2201531630177729

n=31257: c19801(1001000999......) = 57483284717777359951 * c19781(1741377523......)

# ECM B1=25e4, sigma=7530167872745599

n=31301: c30895(4968347062......) = 10290887625937859267 * c30876(4827909159......)

# ECM B1=5e4, sigma=8491908968789616

n=31317: c17274(5327247230......) = 3734564801165502877 * c17256(1426470690......)

# ECM B1=25e4, sigma=1244732711471669

n=31377: c20907(3366808474......) = 428926168036818179083 * c20886(7849389301......)

# ECM B1=25e4, sigma=6944070569828766

n=31399: c29517(1744498373......) = 10186354793371863019813 * c29495(1712583557......)

# ECM B1=5e4, sigma=1171769570140113

n=31449: c19041(1109999999......) = 3137292604842923924893 * c19019(3538082480......)

# ECM B1=5e4, sigma=283783165207516

n=31459: c31092(3093170963......) = 7495639672018886911 * c31073(4126627078......)

# ECM B1=25e4, sigma=2646501693924436

n=31463: c30946(2644777257......) = 610794917488193794693 * c30925(4330057735......)

# ECM B1=25e4, sigma=5571210955920798

n=31481: c31471(4177475787......) = 64608606834281955380437547 * c31445(6465819327......)

# ECM B1=25e4, sigma=3073916146308575

n=31617: c21060(9999999990......) = 6063878774225029591 * c21042(1649109482......)

# ECM B1=5e4, sigma=5458025045945933

n=31673: c29977(5215892664......) = 342590574397238978467 * c29957(1522485746......)

# ECM B1=25e4, sigma=3126234587351771

n=31685: c25339(2028916276......) = 14863492432427602520111 * c25317(1365033343......)

# ECM B1=25e4, sigma=1294695383020559

n=31811: c29337(1624094896......) = 1491443593725258561666732871 * c29310(1088941548......)

# ECM B1=25e4, sigma=666205991963730

n=32013: c21302(4009653567......) = 89625328741418081239 * c21282(4473795102......)

# ECM B1=5e4, sigma=914366334474430

n=32121: c20654(1335065433......) = 200649831580354448917 * c20633(6653708220......)

# ECM B1=5e4, sigma=2943907973689789

n=32153: c28046(1665140029......) = 203395630608943207271 * c28025(8186705018......)

# ECM B1=25e4, sigma=4360537452627346

n=32343: c21547(3611209689......) = 1018711230240344689 * c21529(3544880611......)

# ECM B1=25e4, sigma=4945046686361186

n=32427: c21594(1352565551......) = 968721837893067402919 * c21573(1396237287......)

# ECM B1=5e4, sigma=7372875865982773

n=32443: c32383(1436125079......) = 5705977624219226149151 * c32361(2516878217......)

# ECM B1=5e4, sigma=3680021968470936

n=32459: c27812(1386343119......) = 2419017815983709499344861027 * c27784(5731016575......)

# ECM B1=5e4, sigma=7353924740810105

n=32499: c20582(7597713478......) = 3218271530282438653 * c20564(2360805608......)

# ECM B1=5e4, sigma=7091848617552575

n=33117: c17698(4182784417......) = 1325264272433135917 * c17680(3156188923......)

# ECM B1=5e4, sigma=3948839757772861

n=33283: c32800(9000000000......) = 1084779898145573044693 * c32779(8296613917......)

# ECM B1=5e4, sigma=1426521190107279

n=33457: c33432(5038727263......) = 247770183363478923671 * c33412(2033629388......)

# ECM B1=5e4, sigma=8492191312524935

n=33501: c20593(1109999999......) = 27536700202591133476963 * c20570(4030984075......)

# ECM B1=25e4, sigma=5288826777882600

n=33507: c20709(1903190530......) = 27432984926928292489 * c20689(6937599153......)

# ECM B1=5e4, sigma=1799697528255500

n=33557: c32070(8940003635......) = 8401633098891355403 * c32052(1064079272......)

# ECM B1=5e4, sigma=5175781271713064

n=33591: c22387(3352451357......) = 731076960193813756879 * c22366(4585633989......)

# ECM B1=5e4, sigma=7137126876861551

n=33663: c19146(1388140395......) = 5726196325307353581757 * c19124(2424192809......)

# ECM B1=5e4, sigma=3976054597466665

n=33795: c17977(1112899032......) = 4474956815281507591 * c17958(2486949211......)

# ECM B1=5e4, sigma=6787028134573739

n=33821: c32689(4592578485......) = 1356947162939273231 * c32671(3384493229......)

# ECM B1=5e4, sigma=8722011288517520

n=33949: c31924(1491380429......) = 1049642759144059143705253 * c31900(1420845727......)

# ECM B1=5e4, sigma=7432521589422579

n=34027: c29126(3159444021......) = 13885878563964145957 * c29107(2275292850......)

# ECM B1=5e4, sigma=4957710667803483

n=34037: c33600(9000000000......) = 3079904848399162321197683 * c33576(2922168197......)

# ECM B1=5e4, sigma=2476813801381833

n=34085: c25567(1941933148......) = 866204572712161616881 * c25546(2241887436......)

# ECM B1=25e4, sigma=2177470036961949

n=34093: c33618(5058400204......) = 255045143244989108761 * c33598(1983335240......)

# ECM B1=5e4, sigma=4892330381911781

n=34107: c22719(6746066663......) = 818741083257180787147 * c22698(8239560469......)

# ECM B1=5e4, sigma=7702231857353345

n=34117: c33687(2791337126......) = 4432912499520087841 * c33668(6296846884......)

# ECM B1=25e4, sigma=5126840116303538

n=34125: c14387(5159890994......) = 1848306284819986446001 * c14366(2791686116......)

# ECM B1=5e4, sigma=4912807922960959

n=34157: c34139(4738291675......) = 868264731889124089159 * c34118(5457196983......)

# ECM B1=5e4, sigma=763406531834569

n=34189: c33809(1041818627......) = 5909801708922463613 * c33790(1762865622......)

# ECM B1=5e4, sigma=2000526299962382

n=34203: c20993(3773228605......) = 1118584270165308493 * c20975(3373218009......)

# ECM B1=25e4, sigma=2706863744924276

n=34365: c17463(1295931403......) = 69773941728162885601 * c17443(1857328640......)

# ECM B1=25e4, sigma=5993539052516448

n=34371: c21385(1000000001......) = 248991624544044827773 * c21364(4016199351......)

# ECM B1=25e4, sigma=6891925444311480

n=34459: c32405(1017207839......) = 3510245480985354721 * c32386(2897825364......)

# ECM B1=5e4, sigma=6535826696964157

n=34473: c22962(4177508959......) = 2560293646224783559 * c22944(1631652277......)

# ECM B1=5e4, sigma=8538126039943873

n=34563: c22401(1109999999......) = 20035466511410863545872947 * c22375(5540175465......)

# ECM B1=25e4, sigma=8376201737583099

n=34659: c23100(9990000009......) = 83965719902990185801 * c23081(1189771256......)

# ECM B1=5e4, sigma=7609190461313847

n=34787: c33919(1273106741......) = 22847079982417792253 * c33899(5572295199......)

# ECM B1=25e4, sigma=3420017749765014

n=34831: c34195(1435500567......) = 63922436612815033147 * c34175(2245691251......)

# ECM B1=5e4, sigma=5642817374350778

n=34869: c22726(2447765392......) = 3001624902011495361439 * c22704(8154801058......)

# ECM B1=25e4, sigma=6718260763779804

n=35233: c32009(6137177562......) = 160270617563983833523 * c31989(3829259321......)

# ECM B1=25e4, sigma=2306298946070619

n=35325: c18709(7946700601......) = 2038489340932199944801 * c18688(3898328258......)

# ECM B1=5e4, sigma=8354252409181883

n=35369: c34925(1766091414......) = 2733310194366280747 * c34906(6461364749......)

# ECM B1=5e4, sigma=7057052239999517

n=35481: c23612(2760954434......) = 4119760438135461249187 * c23590(6701735395......)

# ECM B1=25e4, sigma=6951113692099826

n=35547: c21761(1000000000......) = 17753822903267849197 * c21741(5632589698......)

# ECM B1=5e4, sigma=4156304105227155

n=35599: c35136(9000000000......) = 24464085534209710483 * c35117(3678862219......)

# ECM B1=5e4, sigma=3263998386679536

n=35663: c33752(1891858073......) = 1942155297797441227 * c33733(9741023674......)

# ECM B1=5e4, sigma=8110104735920436

n=36079: c35616(7025073667......) = 149756897621430398653 * c35596(4690985042......)

# ECM B1=25e4, sigma=6195119151883731

n=36163: c34083(4076347812......) = 40381046680095619517 * c34064(1009470567......)

# ECM B1=25e4, sigma=7827108574876038

n=36297: c23308(5911276280......) = 3339330283740051919 * c23290(1770198147......)

# ECM B1=5e4, sigma=2690882161424025

n=36381: c23756(1525500597......) = 100645209360833419331192797 * c23730(1515721023......)

# ECM B1=25e4, sigma=8310188446562244

n=36409: c34799(1123596908......) = 48189893196966626129 * c34779(2331602819......)

# ECM B1=25e4, sigma=1452268773117246

n=36439: c33609(4131725436......) = 2664300300221989027 * c33591(1550773175......)

# ECM B1=5e4, sigma=258131834528073

n=36609: c24398(1008554288......) = 3778505527975453837 * c24379(2669188335......)

# ECM B1=5e4, sigma=2780596403112609

n=36639: c22953(2523304491......) = 80950337063637301387 * c22933(3117101895......)

# ECM B1=5e4, sigma=8724499837928737

n=36987: c24638(1995670443......) = 9665425648776984403 * c24619(2064751741......)

# ECM B1=5e4, sigma=3320890256870549

n=37079: c31755(8801981955......) = 1450059253006262641 * c31737(6070084334......)

# ECM B1=5e4, sigma=4786759499349442

n=37087: c37081(2995950373......) = 31774668422901964853 * c37061(9428738434......)

# ECM B1=25e4, sigma=5504728456788856

n=37089: c22737(2214719381......) = 2739113030901859093 * c22718(8085534830......)

# ECM B1=5e4, sigma=7205650686273278

n=37093: c31723(2133715704......) = 25774924919035196717 * c31703(8278261571......)

# ECM B1=5e4, sigma=6771185762347035

n=37131: c24747(2426270433......) = 9724993107534909511 * c24728(2494881391......)

# ECM B1=5e4, sigma=8813214423125584

n=37269: c24001(1001000999......) = 292272761687068408843 * c23980(3424886377......)

# ECM B1=5e4, sigma=4812230365152538

n=37381: c36034(6126896878......) = 242876952338858809597 * c36014(2522634123......)

# ECM B1=5e4, sigma=3559422458419548

n=37401: c19568(4384804478......) = 95547306082370546587 * c19548(4589145061......)

# ECM B1=5e4, sigma=8582599579830539

n=37413: c24911(3646808795......) = 33877535254194684317406409 * c24886(1076468157......)

# ECM B1=25e4, sigma=5020468965078033

n=37523: c37128(9000000000......) = 1346484424416771042643 * c37107(6684072861......)

# ECM B1=5e4, sigma=5641590620187663

n=37667: c32280(9000000900......) = 18749159095981294544677 * c32258(4800215761......)

# ECM B1=25e4, sigma=5299768846352983

n=37819: c37114(1178096978......) = 5883425393784773477 * c37095(2002399791......)

# ECM B1=5e4, sigma=4287293814317615

n=38139: c25418(5905374487......) = 7608387352772023711 * c25399(7761663824......)

# ECM B1=5e4, sigma=8399798430527330

n=38491: c37800(9000000000......) = 7217409962483696711 * c37782(1246984728......)

# ECM B1=25e4, sigma=5118375939888290

n=38525: c29026(1366583166......) = 24011328065316245201 * c29006(5691410164......)

# ECM B1=5e4, sigma=4284222077649976

n=38647: c33099(3774844946......) = 16944663158153251837 * c33080(2227748590......)

# ECM B1=5e4, sigma=2624387701174277

n=38995: c28306(4201756576......) = 372501757613511462311 * c28286(1127983020......)

# ECM B1=25e4, sigma=8531342767695804

n=39073: c38063(5858035141......) = 741883255011871280809 * c38042(7896168435......)

# ECM B1=25e4, sigma=46297437753943

n=39077: c37341(4106328706......) = 8253267127319927850517271 * c37316(4975397795......)

# ECM B1=25e4, sigma=6300806117279990

n=39171: c23721(1109999999......) = 372249003297892964563 * c23700(2981875008......)

# ECM B1=5e4, sigma=1990845543002025

n=39249: c22163(8707429316......) = 561276787144877822290483 * c22140(1551361024......)

# ECM B1=5e4, sigma=4233216868335926

n=39305: c26892(1280395150......) = 105758499989577480411440201 * c26866(1210678243......)

# ECM B1=25e4, sigma=2795153780241934

n=39331: c38232(9000000000......) = 12439717581015223577453260387 * c38204(7234890938......)

# ECM B1=25e4, sigma=8611272588535217

n=39409: c39399(4879772452......) = 700988659560914488153321 * c39375(6961271606......)

# ECM B1=25e4, sigma=7090843267315181

n=39413: c35809(1005863590......) = 178087105391289502628837 * c35785(5648155087......)

# ECM B1=25e4, sigma=8422439853036079

n=39583: c37840(9000000000......) = 1941594455822348203 * c37822(4635365522......)

# ECM B1=25e4, sigma=1929679587369036

n=39807: c26512(3915682177......) = 91135323114380850043 * c26492(4296558176......)

# ECM B1=5e4, sigma=4512269425487395

n=39861: c25705(1001000999......) = 95765087954194656066400627 * c25679(1045267144......)

# ECM B1=25e4, sigma=1049210804662239

n=39923: c35406(5547624439......) = 16112790082905235747 * c35387(3442994298......)

# ECM B1=5e4, sigma=330114420523812

n=40201: c34431(1680398519......) = 171531648376504276573721 * c34407(9796434276......)

# ECM B1=5e4, sigma=8894256789671835

n=40645: c29501(3095031034......) = 28024734561381930791 * c29482(1104392631......)

# ECM B1=25e4, sigma=7936383604440247

n=40741: c40277(4439004789......) = 15353233132225691918481121 * c40252(2891250821......)

# ECM B1=5e4, sigma=751419644154433

n=40925: c32702(4522903689......) = 1590286627008939001 * c32684(2844080817......)

# ECM B1=5e4, sigma=8803454525973740

n=41155: c32892(1910166741......) = 6339850111103447231 * c32873(3012952527......)

# ECM B1=5e4, sigma=1993285755622195

n=41169: c27418(3709220626......) = 20142916178947938997 * c27399(1841451651......)

# ECM B1=5e4, sigma=292493124002080

n=41377: c33793(1111110999......) = 4603029962841607494118027 * c33768(2413868710......)

# ECM B1=25e4, sigma=5803701487931490

n=41401: c39198(1293964417......) = 172467904707619127569 * c39177(7502638941......)

# ECM B1=25e4, sigma=8057157499325986

n=41547: c25135(1430788573......) = 5519394221069846107 * c25116(2592292770......)

# ECM B1=25e4, sigma=3907885148651246

n=42039: c27864(9999999999......) = 1542328492403706682737889 * c27840(6483703082......)

# ECM B1=5e4, sigma=6314842210769076

n=42107: c37441(1111111111......) = 119510768734709304088397 * c37417(9297163116......)

# ECM B1=5e4, sigma=3455753181506181

n=42151: c41382(5030361512......) = 19801208601840501281 * c41363(2540431553......)

# ECM B1=5e4, sigma=7551763805576726

n=42157: c42147(4152854020......) = 11215422458525369573 * c42128(3702806591......)

# ECM B1=5e4, sigma=4938059816793821

n=42247: c41617(2941230202......) = 23430832240838832751 * c41598(1255282002......)

# ECM B1=5e4, sigma=2943284871048638

n=42305: c33834(5598494891......) = 20547889608790591391 * c33815(2724608219......)

# ECM B1=5e4, sigma=6907679861810541

n=42309: c28188(9999999990......) = 7789099981268733013 * c28170(1283845375......)

# ECM B1=5e4, sigma=6276253526794086

n=42383: c38520(9000000000......) = 5443532751658407121 * c38502(1653338082......)

# ECM B1=5e4, sigma=1176608650243908

n=42399: c24158(7952214408......) = 68093027157799849591 * c24139(1167845628......)

# ECM B1=5e4, sigma=7776014523766703

n=42527: c39732(9999999999......) = 9563511177852475919 * c39714(1045641063......)

# ECM B1=25e4, sigma=4974457100281707

n=42609: c24317(2629156420......) = 12368831797492719529 * c24298(2125630345......)

# ECM B1=5e4, sigma=5750455730239162

n=42629: c41666(1621196515......) = 5913446466036670481 * c41647(2741542557......)

# ECM B1=25e4, sigma=3797726458791978

n=42645: c22718(6273949755......) = 16933934128350593401 * c22699(3704956986......)

# ECM B1=5e4, sigma=3701523478302802

n=42719: c42705(4175925349......) = 34728325120456047889 * c42686(1202455152......)

# ECM B1=25e4, sigma=3309145148477743

n=42941: c41028(1239782802......) = 2573572002122541439 * c41009(4817362022......)

# ECM B1=25e4, sigma=3956406023267682

n=43245: c22321(1000000000......) = 29069889304733026921 * c22301(3439985579......)

# ECM B1=25e4, sigma=3850021292341514

n=43255: c33587(2321196536......) = 1507632004352164711 * c33569(1539630712......)

# ECM B1=5e4, sigma=4431465388458447

n=43335: c22897(1000000000......) = 56175722159339238121 * c22877(1780128428......)

# ECM B1=5e4, sigma=5425163506588058

n=43345: c34672(9000090000......) = 49101886511294235791 * c34653(1832941795......)

# ECM B1=5e4, sigma=1086562951966485

n=43409: c42790(9302937631......) = 361093393136177142521413 * c42767(2576324521......)

# ECM B1=5e4, sigma=2141557301197867

n=43419: c28144(3792054099......) = 7791981786853291199419231 * c28119(4866610579......)

# ECM B1=25e4, sigma=1396107397492191

n=43423: c42986(4192962745......) = 4559887224562758997 * c42967(9195321154......)

# ECM B1=5e4, sigma=5408960770628065

n=43429: c42976(9000000000......) = 5597707785321453359 * c42958(1607800968......)

# ECM B1=5e4, sigma=5574617356846370

n=43515: c23169(5841911174......) = 3015659338946084791 * c23151(1937192009......)

# ECM B1=5e4, sigma=5767636865358878

n=43649: c43621(1841856772......) = 1276110836415773662243 * c43600(1443336048......)

# ECM B1=5e4, sigma=728145118299727

n=43813: c34065(1394050893......) = 81737664620706128959 * c34045(1705518379......)

# ECM B1=5e4, sigma=261573325650773

n=44001: c29328(9990000009......) = 45666302483419324723 * c29309(2187608688......)

# ECM B1=5e4, sigma=4040162260448771

n=44265: c21696(9009099100......) = 4125956945817935671 * c21678(2183517476......)

# ECM B1=25e4, sigma=8484897752779802

n=44367: c28237(1990371763......) = 11062364166136606160359 * c28215(1799228206......)

# ECM B1=25e4, sigma=7228667916743838

n=44583: c23007(1127978257......) = 2958090288788779453 * c22988(3813197527......)

# ECM B1=5e4, sigma=5685839030924012

n=44669: c42300(9000000000......) = 55214210428257403321 * c42281(1630015159......)

# ECM B1=5e4, sigma=681340158467692

n=44679: c29111(4036243563......) = 3990955531952032452271 * c29090(1011347666......)

# ECM B1=25e4, sigma=473226510397358

n=44685: c23761(1000000001......) = 72168246128397373831 * c23741(1385650967......)

# ECM B1=25e4, sigma=1948683764799417

n=44791: c43766(1975456790......) = 35057928203952846053 * c43746(5634836088......)

# ECM B1=5e4, sigma=6836016923839595

n=44909: c44898(1389275809......) = 735922486447811729249 * c44877(1887801820......)

# ECM B1=25e4, sigma=7985624315508609

n=44991: c29968(3203471733......) = 4612308166249631075624785111 * c29940(6945485032......)

# ECM B1=25e4, sigma=5312621135971837

n=45019: c41517(1127737197......) = 1980616776985286311 * c41498(5693868753......)

# ECM B1=5e4, sigma=198839824446379

n=45069: c29513(2015458420......) = 2177355224744835853 * c29494(9256452038......)

# ECM B1=5e4, sigma=5141099005766057

n=45103: c41170(4861281533......) = 880613062904794834946333 * c41146(5520337749......)

# ECM B1=25e4, sigma=2847390212771146

n=45401: c44749(2985033681......) = 3323838701742611441 * c44730(8980681523......)

# ECM B1=5e4, sigma=3986864649783556

n=45451: c37792(4014178772......) = 2411071154436034637 * c37774(1664894362......)

# ECM B1=5e4, sigma=2845515928589012

n=45599: c45560(4579063018......) = 404330787451580678457071 * c45537(1132504167......)

# ECM B1=25e4, sigma=2458247679997052

n=45609: c29021(3132464523......) = 445092964667869331599 * c29000(7037775863......)

# ECM B1=25e4, sigma=923786071900808

n=45929: c42384(9000000000......) = 10511508495697018889 * c42365(8562044166......)

# ECM B1=5e4, sigma=3674276308173704

n=45963: c30631(2173482643......) = 1681556549718159344557 * c30610(1292542105......)

# ECM B1=25e4, sigma=1867935113920758

n=46011: c26192(5903115950......) = 11227107845196427003 * c26173(5257913285......)

# ECM B1=5e4, sigma=3230067107140867

n=46317: c30844(1466458106......) = 66550662116915526841 * c30824(2203521437......)

# ECM B1=5e4, sigma=1720238814808437

n=46375: c31167(1420025299......) = 10890139599120289532836001 * c31142(1303955093......)

# ECM B1=5e4, sigma=7727449593430198

n=46505: c36401(1111099999......) = 2317377924019764634201 * c36379(4794643068......)

# ECM B1=5e4, sigma=5801229355088162

n=46671: c30340(3822025791......) = 11722127936483326739947 * c30318(3260522161......)

# ECM B1=5e4, sigma=5608420162197112

n=46791: c31170(2428593873......) = 1385331175598035157911 * c31149(1753078192......)

# ECM B1=5e4, sigma=6696284585687997

n=46803: c31188(2040494028......) = 14833944012103090213 * c31169(1375557321......)

# ECM B1=5e4, sigma=1190852223789475

n=47095: c37639(1715930105......) = 1966025762544714721 * c37620(8727912616......)

# ECM B1=25e4, sigma=3363526534523903

n=47145: c21497(3023630201......) = 19547607416533122361 * x21478(1546803216......)

# ECM B1=5e4, sigma=1978793861956180

n=47145: x21478(1546803216......) = 641835197447741141881 * c21457(2409969447......)

# ECM B1=5e4, sigma=2653494625782232

n=47283: c31507(1207058285......) = 15587114228182214479 * c31487(7743949701......)

# ECM B1=5e4, sigma=1357334586784063

n=47347: c46780(5487758884......) = 61267308100678388479 * c46760(8957075241......)

# ECM B1=25e4, sigma=2254819365621267

n=47369: c39583(7708357869......) = 33417007888437036053 * c39564(2306716955......)

# ECM B1=25e4, sigma=6082000521045652

n=47401: c46852(9000000000......) = 9314234510568665681 * c46833(9662629805......)

# ECM B1=5e4, sigma=3615388609787224

n=47667: c31765(4043804882......) = 15589692147955759399 * c31746(2593896559......)

# ECM B1=5e4, sigma=4031892971040841

n=47809: c47775(9312021870......) = 3635728364392091923 * c47757(2561253464......)

# ECM B1=5e4, sigma=5449315548786379

n=47839: c43480(9000000000......) = 490348697863675081003 * c43460(1835428551......)

# ECM B1=5e4, sigma=7208587709111195

n=47881: c47868(3846449216......) = 72607475005525409195837 * c47845(5297593967......)

# ECM B1=25e4, sigma=291443997094727

n=47899: c45351(1100618348......) = 1524504380443939079 * c45332(7219515812......)

# ECM B1=5e4, sigma=1312840232259372

n=47961: c31532(1042502840......) = 154146045087627354315271 * c31508(6763085230......)

# ECM B1=5e4, sigma=5097804111521999

n=47963: c47936(6777312999......) = 61118372586431817961 * c47917(1108883092......)

# ECM B1=25e4, sigma=293941352635561

n=47967: c31321(1109999999......) = 7368065795548550893 * c31302(1506501205......)

# ECM B1=5e4, sigma=4961033277192909

n=48021: c32007(9380182844......) = 503816594741910196091209 * c31984(1861824906......)

# ECM B1=5e4, sigma=4565800206413451

n=48061: c44331(2312625473......) = 1335915203156664443 * c44313(1731116965......)

# ECM B1=5e4, sigma=5980679153305810

n=48073: c48037(9924158319......) = 1254068358205903399 * c48019(7913570463......)

# ECM B1=5e4, sigma=3389294707582508

n=48075: c25601(1000010000......) = 2306388397127207401 * c25582(4335826530......)

# ECM B1=25e4, sigma=8491636222474254

n=48187: c48153(3824244493......) = 1666210720208189053 * c48135(2295174581......)

# ECM B1=25e4, sigma=569539531919521

n=48191: c40321(1111111111......) = 239126480130802187639 * c40300(4646541489......)

# ECM B1=25e4, sigma=49703337972409

n=48229: c45376(9000000000......) = 1543159042510244477 * c45358(5832192115......)

# ECM B1=5e4, sigma=7348812153203368

n=48385: c38704(9000090000......) = 17239896163757353417831 * c38682(5220501281......)

# ECM B1=25e4, sigma=7316585265465464

n=48461: c38809(1000000100......) = 2617457459733234427 * c38790(3820501824......)

# ECM B1=25e4, sigma=5526719589790041

n=48941: c48370(7673888859......) = 250828039024694510893 * c48350(3059422259......)

# ECM B1=5e4, sigma=4855350831266034

n=48965: c33543(9915108050......) = 7843501309098473133361 * c33522(1264117600......)

# ECM B1=5e4, sigma=6217371201986777

n=48999: c32659(4596503522......) = 5653191520053361237 * c32640(8130811606......)

# ECM B1=25e4, sigma=6104762824016921

n=49303: c48208(9000000000......) = 745092412183217790169 * c48188(1207903859......)

# ECM B1=25e4, sigma=8404749404087907

n=49353: c32881(9112578469......) = 51029284254577968038311 * c32859(1785754709......)

# ECM B1=5e4, sigma=5976736676070756

n=49383: c31315(1687487450......) = 27047719830182467159 * c31295(6238926835......)

# ECM B1=5e4, sigma=4297946778504990

n=49525: c33823(7186862135......) = 72924488465281838351 * c33803(9855210899......)

# ECM B1=5e4, sigma=8190549936520311

n=49611: c31578(3147064444......) = 433938212332476274816387 * c31554(7252333063......)

# ECM B1=25e4, sigma=807632008748151

n=49643: c45104(6597935582......) = 4009725108264408523 * c45086(1645483269......)

# ECM B1=5e4, sigma=1442701142223396

n=49647: c28494(8874567801......) = 594449357152933122361 * c28474(1492905610......)

# ECM B1=5e4, sigma=3735184725789901

n=49675: c39686(1867753389......) = 28636457663401717601 * c39666(6522292006......)

# ECM B1=25e4, sigma=1118902843333256

n=49865: c39865(5386550572......) = 20071383302629622881 * c39846(2683696729......)

# ECM B1=25e4, sigma=352616715329528

n=49929: c28154(5306949811......) = 3618996486528378664963 * c28133(1466414745......)

# ECM B1=25e4, sigma=7176644975137247

n=49951: c42808(1511713388......) = 5271369789055841879 * c42789(2867780954......)

# ECM B1=5e4, sigma=4046668443993543

n=49981: c49492(2692410667......) = 12490061531223734683 * c49473(2155642437......)

# ECM B1=5e4, sigma=6022937583321537

n=50019: c33331(8633136209......) = 122237749002653434231 * c33311(7062577870......)

# ECM B1=5e4, sigma=4542579958209902

n=50299: c49811(2044486889......) = 16518259564928165123 * c49792(1237713260......)

# ECM B1=5e4, sigma=6329240764872369

n=50325: c23991(2300055656......) = 48222177871084245982801 * c23968(4769705057......)

# ECM B1=5e4, sigma=3400308517167899

n=50369: c43180(1405236260......) = 227179958945480442199 * x43159(6185564375......)

# ECM B1=5e4, sigma=1500267311467557

n=50369: x43159(6185564375......) = 1586755464502414559 * c43141(3898246776......)

# ECM B1=5e4, sigma=1500267311467557

n=50499: c32362(6237080486......) = 555397792750573196241151 * c32339(1122993387......)

# ECM B1=5e4, sigma=5713225610377668

n=50819: c50160(9000000000......) = 1102546238468110902373 * c50139(8162922955......)

# ECM B1=5e4, sigma=5547674618350759

n=51109: c51052(4159146854......) = 448852313781750462523 * c51031(9266181161......)

# ECM B1=5e4, sigma=6441642718005963

n=51211: c50507(2929048677......) = 29592188542853417203133 * c50484(9898046821......)

# ECM B1=5e4, sigma=6326196107289232

n=51333: c33579(1619813398......) = 3896521071054817369 * c33560(4157075938......)

# ECM B1=5e4, sigma=4061696317124439

n=51433: c48708(9000000000......) = 820498126303004068351 * c48688(1096894643......)

# ECM B1=5e4, sigma=7547569486885539

n=51663: c32359(1319677815......) = 87433550306675760722683 * c32336(1509349455......)

# ECM B1=5e4, sigma=1065240534813429

n=51665: c41315(4746250474......) = 38695842119911456111 * c41296(1226553090......)

# ECM B1=5e4, sigma=3044472929309697

n=52119: c34721(2446216552......) = 44662941442010191146013 * c34698(5477061011......)

# ECM B1=5e4, sigma=7975927908706696

n=52575: c27989(6771604213......) = 21672903459254349751 * c27970(3124456409......)

# ECM B1=5e4, sigma=2562275771999801

n=52763: c49968(9000000000......) = 2335917573699217351 * c49950(3852875675......)

# ECM B1=5e4, sigma=5127107944811862

n=52771: c52184(2285556383......) = 8507203127245404422609 * c52162(2686613155......)

# ECM B1=5e4, sigma=428595209766366

n=53027: c48936(9000000000......) = 48658727760601498333 * c48917(1849616793......)

# ECM B1=5e4, sigma=1322602591278263

n=53235: c22464(9999999999......) = 92724066484640537311 * c22445(1078468662......)

# ECM B1=5e4, sigma=880598884066299

n=53389: c44004(4389740405......) = 117677407522632264427 * c43984(3730317057......)

# ECM B1=5e4, sigma=7402998098715173

n=54047: c46243(1302844874......) = 18616686063189636997 * c46223(6998264189......)

# ECM B1=5e4, sigma=5326007502823264

n=54127: c53493(3106946260......) = 22602961875930866123 * c53474(1374574835......)

# ECM B1=5e4, sigma=4296922418270711

n=54175: c39201(1000010000......) = 675852213135538949401 * c39180(1479628209......)

# ECM B1=5e4, sigma=1340820760348442

n=54235: c43378(2304807190......) = 4725587813467036871 * c43359(4877292057......)

# ECM B1=5e4, sigma=8917410003057386

n=54253: c53788(9000000000......) = 4473455104808009471 * c53770(2011867737......)

# ECM B1=5e4, sigma=4518099096844338

n=54355: c37249(1111099888......) = 1446108376180804113583961 * c37224(7683379110......)

# ECM B1=5e4, sigma=8353054006636424

n=54399: c36248(2744926201......) = 1656049923203927870083 * c36227(1657514162......)

# ECM B1=5e4, sigma=5201475508912874

n=54733: c46872(9999999000......) = 183136285514642567507 * c46852(5460413796......)

# ECM B1=5e4, sigma=2562997935278163

n=55187: c48139(6810544288......) = 2059300395551060337721 * c48118(3307212635......)

# ECM B1=5e4, sigma=6815127876232029

n=55585: c44428(4164033224......) = 2154963080664277201 * c44410(1932299101......)

# ECM B1=5e4, sigma=7141013112935325

n=55991: c50103(5805528968......) = 3005543291041223609 * c50085(1931607169......)

# ECM B1=5e4, sigma=1564627323057318

n=56017: c49681(1111111111......) = 63208521200671100278566150467 * c49652(1757850191......)

# ECM B1=5e4, sigma=5190222667056108

n=56335: c42615(1312055794......) = 17654873139793877921 * c42595(7431691998......)

# ECM B1=5e4, sigma=7045602518416665

n=56551: c49896(9836984327......) = 2637116427460673134637 * c49875(3730204789......)

# ECM B1=5e4, sigma=3790422184816672

n=56561: c56037(8828851628......) = 1061464839939882283 * c56019(8317611000......)

# ECM B1=5e4, sigma=293582465997535

n=56727: c34190(4841925833......) = 5048047985429394199 * c34171(9591679491......)

# ECM B1=5e4, sigma=3858445061757075

n=57805: c41972(3001249260......) = 143639996574433077841 * c41952(2089424486......)

# ECM B1=5e4, sigma=2720667606860821

n=58075: c44001(1000010000......) = 52439204334906021601 * c43981(1906989270......)

# ECM B1=5e4, sigma=2447345428649408

n=58221: c38803(8579304904......) = 510109382387217205590013 * c38780(1681855931......)

# ECM B1=5e4, sigma=6622112078131245

n=58265: c45355(2383715816......) = 2001973568717839751 * c45337(1190682960......)

# ECM B1=5e4, sigma=230544608711474

n=58525: c46789(3041164264......) = 35673899166215179601 * c46769(8524900097......)

# ECM B1=5e4, sigma=4619429643413933

n=58893: c38531(3018122228......) = 3353997136669294711 * c38512(8998583198......)

# ECM B1=5e4, sigma=461746217195738

n=59133: c37642(2674039384......) = 79554194221443433510093 * c37619(3361280207......)

# ECM B1=5e4, sigma=6798588929118919

n=59511: c39014(6411277482......) = 19695604808846053357 * c38995(3255181826......)

# ECM B1=5e4, sigma=27412626680015

n=60069: c40038(3408582251......) = 497987932606195186249 * c40017(6844708533......)

# ECM B1=5e4, sigma=1349336484307226

n=60135: c30232(2952592991......) = 1186731995208501995641 * c30211(2488003191......)

# ECM B1=5e4, sigma=8773327866441402

n=62431: c61820(1674953815......) = 137553128069009778439 * c61800(1217677736......)

# ECM B1=5e4, sigma=2851487877864122

n=62717: c61596(9000000000......) = 353546046190257773711 * c61576(2545637293......)

# ECM B1=5e4, sigma=981431860528970

n=62811: c35857(1001000999......) = 1387799435456642590831 * c35835(7212865017......)

# ECM B1=5e4, sigma=4243076343001590

n=63079: c63069(7539203966......) = 10935706049001768596917 * c63047(6894117245......)

# ECM B1=5e4, sigma=7740300033696864

n=63145: c49528(3906751581......) = 10605859580781537511 * c49509(3683578451......)

# ECM B1=5e4, sigma=6736236372731146

n=63207: c42110(1558234214......) = 154637468411987189449 * c42090(1007669247......)

# ECM B1=5e4, sigma=8275084355343725

n=63229: c61977(1186164560......) = 1970459579412887203 * c61958(6019735563......)

# ECM B1=5e4, sigma=902688371241141

n=63573: c42357(1708825672......) = 1211939838925906560409 * c42336(1409992160......)

# ECM B1=5e4, sigma=278459231321407

n=63637: c54534(4714236573......) = 26533187410551067849 * c54515(1776732098......)

# ECM B1=5e4, sigma=1498309433568460

n=64147: c61326(7054784998......) = 84363233628457200359 * c61306(8362392827......)

# ECM B1=5e4, sigma=823890188918844

n=64539: c41978(1617119562......) = 18137354329692273763 * c41958(8915961683......)

# ECM B1=5e4, sigma=3106875290068833

n=64721: c63595(6952867285......) = 1165127369388577020187 * c63574(5967474001......)

# ECM B1=5e4, sigma=1173809441165637

n=64849: c64843(4283438556......) = 396361572447706739759 * c64823(1080689666......)

# ECM B1=5e4, sigma=5433962404999562

n=65125: c51976(2265320876......) = 3392414056540473751 * c51957(6677607270......)

# ECM B1=5e4, sigma=3016548063887968

n=66131: c61032(9000000000......) = 930551204501966051317 * c61011(9671687013......)

# ECM B1=5e4, sigma=2389860674850945

n=66239: c66212(7325475376......) = 43623383841321975359 * c66193(1679254274......)

# ECM B1=5e4, sigma=8671617172992693

n=67007: c65155(2238566521......) = 14156804022497797523 * c65136(1581265459......)

# ECM B1=5e4, sigma=7508068248480351

n=67045: c45760(9000090000......) = 638269799671723944573456521 * c45734(1410076116......)

# ECM B1=5e4, sigma=3668460426144532

n=67149: c44712(9999999999......) = 33157003737469833037 * c44693(3015954058......)

# ECM B1=5e4, sigma=1666799737363884

n=67187: c67166(5454614861......) = 341673493850259222653 * c67146(1596440742......)

# ECM B1=5e4, sigma=1797236851473132

n=67257: c43033(3267107126......) = 21984681140596194733 * c43014(1486083471......)

# ECM B1=5e4, sigma=6382175325380398

n=67575: c33275(7399057350......) = 14373370823549905351 * c33256(5147753746......)

# ECM B1=5e4, sigma=6390771097175135

n=69779: c69717(7743952676......) = 477677157848800507934869291590289 * c69685(1621168722......)

# ECM B1=5e4, sigma=5457910371814250

n=69951: c39961(1109999889......) = 1686195564187323803881 * c39939(6582865668......)

# ECM B1=5e4, sigma=4802899547455428

n=70103: c63698(1067640860......) = 496116138674940530265751 * c63674(2151997843......)

# ECM B1=5e4, sigma=3807677083821330

n=70107: c46727(3109963735......) = 228507539193702381079 * c46707(1360989552......)

# ECM B1=5e4, sigma=6418746123208951

n=70393: c70373(3077783915......) = 21715660137518874303311 * c70351(1417310777......)

# ECM B1=5e4, sigma=3863309509350383

n=70653: c42757(1173760454......) = 2969375902473532535413 * c42735(3952886037......)

# ECM B1=5e4, sigma=3181164920966923

n=70803: c47182(1373271965......) = 1056865637252381347 * c47164(1299381791......)

# ECM B1=5e4, sigma=7420056810167653

n=71009: c66816(9000000000......) = 1519998720546096409 * c66798(5921057615......)

# ECM B1=5e4, sigma=1577792618387240

n=71507: c68365(3780230863......) = 11500303790770309717 * c68346(3287070439......)

# ECM B1=5e4, sigma=2993733988081763

n=71625: c37991(3459953801......) = 154153962808586607751 * c37971(2244479310......)

# ECM B1=5e4, sigma=5526544009529932

n=72337: c72325(2167087024......) = 34696996935940516973 * c72305(6245748093......)

# ECM B1=5e4, sigma=943339289393804

n=72395: c57895(2616752410......) = 16610154054724679512121 * c57873(1575393221......)

# ECM B1=5e4, sigma=1036340791909907

n=72445: c57952(9000090000......) = 28884411070751162149631 * c57930(3115898738......)

# ECM B1=5e4, sigma=7445190032536657

n=72473: c68811(2299701728......) = 12591320929076268947 * c68792(1826418166......)

# ECM B1=5e4, sigma=3825836815854796

n=72571: c70195(2066936593......) = 9290168894045004041 * c70176(2224864388......)

# ECM B1=5e4, sigma=925252320322357

n=72897: c43241(1000000000......) = 49842219586117680283 * c43221(2006331195......)

# ECM B1=5e4, sigma=4945636073958771

n=72905: c49969(1111099888......) = 6220228128306919511 * c49950(1786268712......)

# ECM B1=5e4, sigma=2577737648038903

n=73091: c73073(1175735693......) = 34519884460832368791707633653 * c73044(3405966479......)

# ECM B1=5e4, sigma=5693190917919635

n=73101: c41057(1312831405......) = 22418710267374043729 * c41037(5855963120......)

# ECM B1=5e4, sigma=2192876859966000

n=73293: c44395(3786160389......) = 4992355978565685049 * c44376(7583915101......)

# ECM B1=5e4, sigma=6443634461563327

n=73353: c41823(1527132178......) = 3307631197620610561 * c41804(4616996535......)

# ECM B1=5e4, sigma=7513171793883037

n=73853: c61770(1410459317......) = 2433469713478938707 * c61751(5796083303......)

# ECM B1=5e4, sigma=7419798675310745

n=74171: c69771(3508428038......) = 846447468094194180587 * c69750(4144885737......)

# ECM B1=5e4, sigma=3942296288023561

n=74241: c48379(6741519231......) = 36462080357793449879671 * c48357(1848912394......)

# ECM B1=5e4, sigma=5332771144046834

n=74309: c70380(9000000000......) = 4446685969741176599 * c70362(2023979219......)

# ECM B1=5e4, sigma=5326937553843783

n=74429: c73875(4153634544......) = 148098054477547681561133 * c73852(2804651660......)

# ECM B1=5e4, sigma=187749928010476

n=74569: c67757(9766479328......) = 107704629173030926037 * c67737(9067836176......)

# ECM B1=5e4, sigma=2075718323453216

n=75113: c72644(1686190408......) = 60018216443183246277049 * c72621(2809464373......)

# ECM B1=5e4, sigma=7987821912216282

n=75263: c74160(9000000000......) = 60663160121701302359 * c74141(1483602236......)

# ECM B1=5e4, sigma=569768992455118

n=75631: c74152(9000000000......) = 4412191824242014987 * c74134(2039802519......)

# ECM B1=5e4, sigma=6504233420092326

n=75643: c74410(1091903405......) = 574885788160444109237761 * c74386(1899339708......)

# ECM B1=5e4, sigma=4798782693291410

n=76377: c43633(1109999889......) = 27109307772995590843 * c43613(4094534240......)

# ECM B1=5e4, sigma=3229864370134841

n=76455: c40742(1005520549......) = 16546651219735240231 * c40722(6076882482......)

# ECM B1=5e4, sigma=2844432773262415

n=77197: c68545(1111111111......) = 3071943742432666093 * c68526(3616964385......)

# ECM B1=5e4, sigma=5942087631409568

n=77235: c38874(1190257920......) = 15625617208663059601 * c38854(7617349797......)

# ECM B1=5e4, sigma=6653605557707863

n=77453: c76313(2617105816......) = 304988393293463884637 * c76292(8581001356......)

# ECM B1=5e4, sigma=1359804411432636

n=77655: c39817(5839440771......) = 1385065816838178559681 * c39796(4216002373......)

# ECM B1=5e4, sigma=5295617087015741

n=77697: c50678(9553302866......) = 1602075153047706397 * c50660(5963080351......)

# ECM B1=5e4, sigma=4509395490536976

n=78159: c52090(1982607412......) = 47605664700411630407911 * c52067(4164646003......)

# ECM B1=5e4, sigma=4633141121966089

n=78527: c74368(4621381485......) = 79340648678129029963 * c74348(5824733680......)

# ECM B1=5e4, sigma=3591973742782298

n=78643: c78624(3227715456......) = 2605862550929552279 * c78606(1238636111......)

# ECM B1=5e4, sigma=1017065550986515

n=78873: c51566(3677261683......) = 20126254839427279674067 * c51544(1827096850......)

# ECM B1=5e4, sigma=6694444229701567

n=78903: c47725(1543932138......) = 1415245376596398056767916893 * c47698(1090928940......)

# ECM B1=5e4, sigma=7128692605666661

n=79073: c78219(8593995478......) = 2983011595988282669117093 * c78195(2880979574......)

# ECM B1=5e4, sigma=3769112746864892

n=79079: c56154(8129296355......) = 8048657392115261923 * c56136(1010018933......)

# ECM B1=5e4, sigma=3207259383064124

n=79485: c36282(1205780669......) = 2338998882183263791 * c36263(5155114348......)

# ECM B1=5e4, sigma=2781106144154272

n=80009: c75747(5727656800......) = 5885084638608879449 * c75728(9732496899......)

# ECM B1=5e4, sigma=5384628829805594

n=80045: c54865(1111099888......) = 2597892167602987081 * c54846(4276928437......)

# ECM B1=5e4, sigma=3444563184423054

n=80049: c53337(2144644001......) = 18518037146538770959 * c53318(1158137865......)

# ECM B1=5e4, sigma=5422715865546648

n=80057: c79476(9000000000......) = 151973254992131844529 * c79456(5922094647......)

# ECM B1=5e4, sigma=1928151652468078

n=80063: c75277(1538197512......) = 29131941491369883157 * c75257(5280106419......)

# ECM B1=5e4, sigma=5253785158984307

n=80079: c53374(1756085610......) = 23262703755948271357 * c53354(7548931669......)

# ECM B1=5e4, sigma=6632741412294414

n=80085: c40320(9009099100......) = 160544907364633826521 * c40300(5611575756......)

# ECM B1=5e4, sigma=4430520981596145

n=80087: c64513(1111110999......) = 4530844878946717524649 * c64491(2452326287......)

# ECM B1=5e4, sigma=1964875164331862

n=80091: c48481(1001000999......) = 161223137307636791311 * c48460(6208792464......)

# ECM B1=5e4, sigma=413596881498775

n=80093: c72001(1111111111......) = 400218400582219784683 * c71980(2776261934......)

# ECM B1=5e4, sigma=8155565016755445

n=80123: c75873(1826940484......) = 203494629074557388593283 * c75849(8977831466......)

# ECM B1=5e4, sigma=4916891997508015

n=80125: c64000(9999999999......) = 9053781015265068001 * c63982(1104510920......)

# ECM B1=5e4, sigma=8898049470766391

n=80181: c52201(1001000999......) = 4973691934842856176907 * c52179(2012591477......)

# ECM B1=5e4, sigma=159428640486164

n=80191: c80155(6617351950......) = 5504688260749662454836493 * c80131(1202130190......)

# ECM B1=5e4, sigma=4890173049510921

n=80203: c79480(3915396137......) = 313751844825105746053 * c79460(1247927686......)

# ECM B1=5e4, sigma=8742544222454436

n=80277: c53500(2927465952......) = 430133942052393656551 * c53479(6805940351......)

# ECM B1=5e4, sigma=2774959618287321

n=80297: c68808(2232835164......) = 12715701954585593839 * c68789(1755966892......)

# ECM B1=5e4, sigma=6589114375532267

n=80307: c53462(5287886606......) = 1043764001678752489 * c53444(5066170703......)

# ECM B1=5e4, sigma=5163375002642233

n=80335: c64245(4638759464......) = 12951627347443748401 * c64226(3581603562......)

# ECM B1=5e4, sigma=957031940310862

n=80389: c76129(1060242583......) = 345166770413584304683 * c76108(3071682079......)

# ECM B1=5e4, sigma=643441620767844

n=80395: c55076(1554118801......) = 6333530750125754911 * c55057(2453795303......)

# ECM B1=5e4, sigma=7721450842044169

n=80403: c53594(2074965632......) = 2995198708160981452201 * c53572(6927639314......)

# ECM B1=5e4, sigma=4218905155228359

n=80451: c45937(1001000999......) = 36556748925005898294679 * x45914(2738211217......)

# ECM B1=5e4, sigma=4908912326045144

n=80451: x45914(2738211217......) = 60240277764922584798757 * c45891(4545482390......)

# ECM B1=5e4, sigma=5670675245885844

n=80467: c79187(2145018187......) = 245451985571162784683 * c79166(8739054125......)

# ECM B1=5e4, sigma=2970657525134090

n=80705: c64540(9141976732......) = 11288757292999523415361 * c64518(8098302138......)

# ECM B1=5e4, sigma=3922355548118655

n=80831: c80804(1744376014......) = 25511600424703733272741187 * c80778(6837579709......)

# ECM B1=5e4, sigma=4369032483379953

n=81615: c43504(1170124233......) = 35644557011129978732966070361 * c43475(3282757121......)

# ECM B1=5e4, sigma=7742751023861651

n=81805: c65411(1059713401......) = 6316531737701025871 * c65392(1677682381......)

# ECM B1=5e4, sigma=8499869071828274

n=81891: c54407(7503198804......) = 431317531205454770641 * c54387(1739599775......)

# ECM B1=5e4, sigma=1353753850896799

n=82115: c59660(3048048202......) = 215556356201581368271 * c59640(1414037728......)

# ECM B1=5e4, sigma=2041345822084719

n=82663: c70560(9999999999......) = 2980166854625029802951 * c70539(3355516817......)

# ECM B1=5e4, sigma=6871372968547626

n=82875: c38392(6438828671......) = 28593319954667715001 * c38373(2251864659......)

# ECM B1=5e4, sigma=6952302460085798

n=83007: c52801(1001000999......) = 1394700318173456911 * c52782(7177176250......)

# ECM B1=5e4, sigma=3501641042086482

n=83095: c66472(9000090000......) = 70237202098694822726441 * c66450(1281385039......)

# ECM B1=5e4, sigma=4447516308220491

n=83399: c83393(6661377532......) = 411874531668645487961 * c83373(1617331740......)

# ECM B1=5e4, sigma=6570011711225182

n=83813: c83801(1412257898......) = 55113407018575151837 * c83781(2562457984......)

# ECM B1=5e4, sigma=1281196793630806

n=83917: c81159(3552279046......) = 1264400584039804401809 * c81138(2809456979......)

# ECM B1=5e4, sigma=6439917346681680

n=84107: c83389(3938933018......) = 660660259855893208523 * c83368(5962115867......)

# ECM B1=5e4, sigma=3336695429719128

n=84301: c72200(8975847995......) = 5293130389534010213 * c72182(1695754182......)

# ECM B1=5e4, sigma=6543280539211378

n=84831: c56544(1815375908......) = 4498119594026105320711 * c56522(4035855140......)

# ECM B1=5e4, sigma=1291124918058965

n=90285: c44293(5968931823......) = 25164237841241449081 * c44274(2371989909......)

# ECM B1=5e4, sigma=6598962802703116

n=90361: c89400(2524657275......) = 1621948487304614321 * c89382(1556558235......)

# ECM B1=5e4, sigma=6430731393434375

n=90395: c71201(1111099999......) = 19279887446575977031 * c71181(5763000448......)

# ECM B1=5e4, sigma=4094509177599119

n=90819: c60511(6293212220......) = 3458812015168712893 * c60493(1819472175......)

# ECM B1=5e4, sigma=1334877783984108

n=91795: c66709(1070201049......) = 2764915622241690391 * c66690(3870646327......)

# ECM B1=5e4, sigma=156570882735812

n=92447: c91776(9000000000......) = 55745391447854653157 * c91757(1614483236......)

# ECM B1=5e4, sigma=8047980906210988

September 4, 2023 2023 年 9 月 4 日 (Alfred Reich)

# via Kurt Beschorner

n=14167: c13660(5034203175......) = 287668128774899141373799 * c13637(1750003796......)

# ECM B1=25e4, sigma=7256167799657289

n=14199: c9448(4734184446......) = 40818609994771877557 * c9429(1159810303......)

# ECM B1=25e4, sigma=7873283087168137

n=14253: c9486(2457932660......) = 3533274700212411043 * c9467(6956528629......)

# ECM B1=25e4, sigma=7836755762109260

n=14257: c13913(9277064527......) = 137453953431559867373 * c13893(6749216225......)

# ECM B1=25e4, sigma=8923624748506228

n=14279: c14019(2329167399......) = 20124195478929397981565747 * c13994(1157396528......)

# ECM B1=25e4, sigma=2344336060880125

n=14307: c8979(3430040666......) = 1471051465737853337361570511 * c8952(2331693177......)

# ECM B1=25e4, sigma=988130446496168

n=14337: c9382(5629976363......) = 15508420794292686769 * c9363(3630270572......)

# ECM B1=25e4, sigma=5639383230710558

n=14365: c9968(8987173370......) = 10071527027616118885991 * c9946(8923347319......)

# ECM B1=25e4, sigma=5207886764740567

n=14415: c7418(6347607291......) = 707736738769597709478751 * c7394(8968881992......)

# ECM B1=25e4, sigma=4678363811362292

n=14619: c8819(3155737734......) = 2091475171695009871 * x8801(1508857373......)

# ECM B1=25e4, sigma=713740099365226

n=14619: x8801(1508857373......) = 9968623338027890339109319003 * c8773(1513606565......)

# ECM B1=25e4, sigma=4519051582061635

n=14645: c11173(1307297953......) = 6678155316898998311 * c11154(1957573448......)

# ECM B1=25e4, sigma=2028316839467295

n=14651: c11083(8531768891......) = 1978962176914115527681 * c11062(4311233934......)

# ECM B1=25e4, sigma=8741188317437826

n=14675: c11710(1497711292......) = 68454590689135580575201 * c11687(2187890216......)

# ECM B1=25e4, sigma=8910345724086367

n=14705: c10988(5584491619......) = 101219319001894561471 * c10968(5517219118......)

# ECM B1=25e4, sigma=7011459827487944

n=14733: c9811(5650548374......) = 143678199318358546711 * c9791(3932780617......)

# ECM B1=25e4, sigma=8189151618034968

n=14735: c10081(1111099888......) = 40987675650266184841 * c10061(2710814583......)

# ECM B1=25e4, sigma=816569529756106

n=14793: c9856(3044921421......) = 987942831320705913173107 * c9832(3082082611......)

# ECM B1=5e4, sigma=1720249100623175

n=15069: c10032(1653090162......) = 3270175250782975750121563 * c10007(5055050680......)

# ECM B1=25e4, sigma=7422903031271371

n=15137: c15080(6926437601......) = 2582469728759092447904791 * c15056(2682098273......)

# ECM B1=25e4, sigma=7064718943440794

n=15157: c14476(9000000000......) = 45432016444330256963 * c14457(1980981850......)

# ECM B1=25e4, sigma=7917843579049658

n=15177: c10116(9009009009......) = 30213151016211426220747 * c10094(2981817091......)

# ECM B1=25e4, sigma=7641367141510838

n=15339: c10224(9009009009......) = 2119978031144058157 * c10206(4249576588......)

# ECM B1=25e4, sigma=2772105994965147

n=15353: c14151(4042734929......) = 171897364801518713761 * c14131(2351830660......)

# ECM B1=25e4, sigma=8571416722954590

n=15357: c10224(1451850106......) = 71215137412202346256999 * c10201(2038681886......)

# ECM B1=25e4, sigma=5158951511928865

n=15465: c8241(1109988900......) = 11630770622037062788436778241 * c8212(9543554215......)

# ECM B1=25e4, sigma=3524044139285868

n=15525: c7890(2617693766......) = 429091135061999300551 * c7869(6100554292......)

# ECM B1=25e4, sigma=5996754796896856

n=15563: c15273(2852431584......) = 49731759602639956561 * x15253(5735633742......)

# ECM B1=5e4, sigma=6614586921456662

n=15563: x15253(5735633742......) = 41940100207168366228231 * c15231(1367577500......)

# ECM B1=25e4, sigma=8217286958164222

n=15575: c10556(3210201920......) = 11587773591285083269351 * c10534(2770335383......)

# ECM B1=25e4, sigma=4394616109585608

n=15693: c10430(1679914171......) = 314830777765457998979978947 * c10403(5335927393......)

# ECM B1=25e4, sigma=6735162955030524

n=15743: c12385(1111110999......) = 2082962028563231089 * x12366(5334283509......)

# ECM B1=25e4, sigma=5780656828127694

n=15743: x12366(5334283509......) = 6364614745977911879 * c12347(8381156947......)

# ECM B1=25e4, sigma=259718144552510

n=15755: c11969(1111099999......) = 26127409317808760441 * c11949(4252622165......)

# ECM B1=5e4, sigma=8792672659132922

n=15763: c14314(6797105641......) = 51229323381235643843 * c14295(1326799807......)

# ECM B1=25e4, sigma=1170868789723398

n=15775: c12591(1249991288......) = 3688880963726861801 * c12572(3388537882......)

# ECM B1=25e4, sigma=8060582023276687

n=15779: c15240(9000000000......) = 287608947201439712507 * c15220(3129248963......)

# ECM B1=25e4, sigma=8762726386792442

n=15809: c15762(4118032537......) = 219660374213551135166231 * c15739(1874727088......)

# ECM B1=25e4, sigma=4275928399514810

n=15831: c10503(1309163317......) = 72693385902924993974961696871 * c10474(1800938697......)

# ECM B1=25e4, sigma=8108779257903132

n=15857: c15572(2401124965......) = 4123649032264396147 * c15553(5822816022......)

# ECM B1 25e4, sigma=2423682163118668

n=15909: c10604(9009009009......) = 94302506324083371481 * c10584(9553308135......)

# ECM B1=25e4, sigma=7260901822296554

n=15953: c13087(1459304905......) = 16686371688638707427 * c13067(8745489631......)

# ECM B1=25e4, sigma=3350094257580418

n=15987: c10505(1169611477......) = 1337495165722952161 * c10486(8744790316......)

# ECM B1=25e4, sigma=649481372047908

n=16221: c10775(2576184604......) = 185584691316537138529711 * c10752(1388144995......)

# ECM B1=25e4, sigma=1402985423567460

n=16241: c15925(2466527137......) = 4689058574157541414619282693 * c15897(5260175573......)

# ECM B1=25e4, sigma=8486527397536715

n=16325: c13023(1159893729......) = 70178550437315886551 * c13003(1652775273......)

# ECM B1=3e6, sigma=3548202086037077

n=16445: c10525(8080537373......) = 1067364978425481444281 * c10504(7570547597......)

# ECM B1=25e4, sigma=5592479178625300

n=16497: c9898(1085767312......) = 24712455213950475384271 * c9875(4393603563......)

# ECM B1=25e4, sigma=2135066633938250

n=16503: c10931(1406710027......) = 15458259781095735404645772623491729 * x10896(9100054256......)

# ECM B1=3e6, sigma=3731941561784468

n=16503: x10896(9100054256......) = 80935075431769205052258263830050786787 * c10859(1124364709......)

# ECM B1=3e6, sigma=6750058687977204

n=16553: c16523(2013551373......) = 338460123462980454249133 * c16499(5949153928......)

# ECM B1=25e4, sigma=757033809733696

n=16839: c11211(1761519376......) = 11305672834720471965272719 * c11186(1558084514......)

# ECM B1=25e4, sigma=8868227915121961

n=16923: c11261(3973814263......) = 4480990925127401386772271544010272009 * c11224(8868159588......)

# ECM B1=25e4, sigma=2404143364833976

n=16949: c15925(2506130426......) = 4167728381767970560809090049 * c15897(6013180794......)

# ECM B1=25e4, sigma=8425718821568381

n=17119: c14959(1132475641......) = 1047524553578310059081 * c14938(1081096990......)

# ECM B1=25e4, sigma=6838395398446574

n=17421: c11612(9009009009......) = 6403340842213047279439 * c11591(1406923234......)

# ECM B1=25e4, sigma=2953331939829471

n=18157: c17812(8915046648......) = 59815882475869420756631 * c17790(1490414632......)

# ECM B1=25e4, sigma=900064096650185

n=18273: c12154(2806945936......) = 2590971809057766734537569 * c12130(1083356417......)

# ECM B1=25e4, sigma=3533182993541840

n=18675: c9835(2974853562......) = 1841354292552903001 * x9817(1615579128......)

# ECM B1=25e4, sigma=5821068242880604

n=18675: x9817(1615579128......) = 273644091802985636692801 * c9793(5903943029......)

# ECM B1=25e4, sigma=5821068242880604

n=18841: c18532(9000000000......) = 602286697537580569078883 * c18509(1494304960......)

# ECM B1=25e4, sigma=441686310893677

n=18895: c15112(9000090000......) = 76439797325160658116191 * c15090(1177408930......)

# ECM B1=25e4, sigma=4929663361472627

n=19199: c18864(9000000000......) = 43565551073489554453 * c18845(2065852440......)

# ECM B1=25e4, sigma=1593088812221430

n=19209: c12092(1444616525......) = 141273344055949369387 * c12072(1022568365......)

# ECM B1=25e4, sigma=1052036940047106

n=19375: c14995(5161263683......) = 48020130553076790001 * c14976(1074812505......)

# ECM B1=25e4, sigma=6150952476326696

n=19513: c16831(7068425849......) = 245907326402258560157 * c16811(2874426700......)

# ECM B1=25e4, sigma=3049893953816658

n=19563: c13019(1988402528......) = 87569187953613556147 * c12999(2270664574......)

# ECM B1=25e4, sigma=8022428581198782

n=19757: c18876(9000000000......) = 221092612538093687292164533 * c18850(4070692320......)

# ECM B1=25e4, sigma=7992409971162705

n=19899: c11881(1000000001......) = 8887077782930431629544627 * c11856(1125229265......)

# ECM B1=25e4, sigma=8944067133173235

n=12533: c12280(4621003543......) = 24175012971135632446772881 * c12255(1911479240......)

# ECM B1=3e6, sigma=4241399469695041

n=12545: c9217(1111099999......) = 399775781932238350287432551 * c9190(2779307927......)

# ECM B1=3e6, sigma=379973343948613

n=12607: c10786(1968840869......) = 559471587931097926815287957 * c10759(3519107871......)

# ECM B1=3e6, sigma=7218070960411378

n=12631: c11864(5186582134......) = 7017999112172629706282449 * c11839(7390400100......)

# ECM B1=3e6, sigma=4868355268778354

n=12693: c8445(3183077548......) = 138758686760909754841453 * c8422(2293966325......)

# ECM B1=5e4, sigma=6847703558653520

n=12699: c7862(1261928992......) = 45924565162073513599 * c7842(2747830030......)

# ECM B1=3e6, sigma=5740017846874303

n=12709: c12416(8013033625......) = 3160579327036651784830985837873674831 * c12380(2535305333......)

# ECM B1=3e6, sigma=3358604039528161

n=12717: c8412(1945692971......) = 29999828962358442616519 * c8389(6485680216......)

# ECM B1=3e6, sigma=3129314731611459

n=12741: c8156(1088993318......) = 309377876761606605524170201 * c8129(3519945673......)

# ECM B1=3e6, sigma=6391147935097456

n=12753: c7762(4024744502......) = 53728888426457917843 * x7742(7490838951......)

# ECM B1=3e6, sigma=7860090215513267

n=12753: x7742(7490838951......) = 3354866938870704839459359 * c7718(2232827437......)

# ECM B1=3e6, sigma=7860090215513267

n=12767: c11952(4361187264......) = 32352655938426553581763 * c11930(1348015220......)

# ECM B1=3e6, sigma=8701084590646041

n=12771: c7517(1763027046......) = 539889989069830162973581747 * c7490(3265530166......)

# ECM B1=3e6, sigma=5908777714480400

n=12849: c8541(3657912498......) = 1916886553737057176359 * c8520(1908257163......)

# ECM B1=25e4, sigma=6420142485456821

n=12873: c7345(1109999889......) = 4727101046094273883 * c7326(2348161966......)

# ECM B1=5e4, sigma=6049970357629865

n=12901: c10356(1431246448......) = 884350253305530646573 * c10335(1618415829......)

# ECM B1=3e6, sigma=7994402658103999

n=12903: c7026(1176549264......) = 4025502014900668963 * c7007(2922739227......)

# ECM B1=3e6, sigma=1868594659288255

n=12933: c8594(8791738341......) = 11063827754544258973 * c8575(7946380345......)

# ECM B1=5e4, sigma=6611802472911637

n=12937: c12109(2190249880......) = 10676830954165836947 * c12090(2051404475......)

# ECM B1=3e6, sigma=8159461617262171

n=12943: c10836(9999999999......) = 117368183413349992224250871 * c10810(8520196623......)

# ECM B1=3e6, sigma=2065455211775402

n=12985: c8737(1000000100......) = 18819480035512161636121 * c8714(5313643618......)

# ECM B1=3e6, sigma=7888452364953835

n=13147: c13111(1350654124......) = 5596538221318390302139171082279 * c13080(2413374251......)

# ECM B1=3e6, sigma=8896919547058897

n=13179: c8332(5310607651......) = 6978051564072207001 * c8313(7610444839......)

# ECM B1=3e6, sigma=1342224624274001

n=13203: c8732(5551780406......) = 157796646491882628145009 * c8709(3518313303......)

# ECM B1=3e6, sigma=5780651247647725

n=13277: c11129(4424423457......) = 60286831932869842961 * c11109(7338954984......)

# ECM B1=5e4, sigma=5485442615934854

n=13287: c8561(7735212660......) = 19782592726473719145373 * c8539(3910110654......)

# ECM B1=3e6, sigma=1885501618497440

n=13317: c8435(6538601103......) = 48967970094248521717 * c8416(1335281223......)

# ECM B1=25e5, sigma=8761806492953899

n=13321: c10313(9105946818......) = 976268264225153965011409 * c10289(9327299833......)

# ECM B1=3e6, sigma=2679192633987560

n=13359: c8608(3170302706......) = 70810466826405634957 * c8588(4477166793......)

# ECM B1=5e4, sigma=335239043925454

n=13371: c8907(5614733915......) = 289952525528203743031 * c8887(1936432146......)

# ECM B1=25e4, sigma=8448810522900549

n=13403: c12353(2612807150......) = 5674140794403699750060277343723 * c12322(4604762632......)

# ECM B1=3e6, sigma=2752439959820731

n=13611: c8312(8429458170......) = 7030174106283498613 * x8294(1199039745......)

# ECM B1=5e4, sigma=5698934938436659

n=13611: x8294(1199039745......) = 8250524883868044493 * c8275(1453289048......)

# ECM B1=25e4, sigma=7718629960286288

n=13647: c9091(2357657212......) = 835751273222153735817277 * c9067(2821003434......)

# ECM B1=25e4, sigma=8961558743232758

n=13695: c6543(1063544666......) = 121861750630249612413751 * c6519(8727469128......)

# ECM B1=5e4, sigma=8779917024371415

n=13709: c13678(1647115347......) = 5955419019919316688125035921 * c13650(2765742161......)

# ECM B1=25e4, sigma=2506252169606998

n=13713: c7813(1856158286......) = 315780488960207227321 * c7792(5878001813......)

# ECM B1=5e4, sigma=942041699449350

n=13741: c10787(1470657755......) = 143928632106820025074082929 * c10761(1021796521......)

# ECM B1=5e4, sigma=47844255385443

n=13797: c7766(5240799588......) = 287680966368099243409 * c7746(1821740122......)

# ECM B1=5e4, sigma=3204136183048892

n=13853: c11845(6451955843......) = 39755202590778655121 * c11826(1622921133......)

# ECM B1=25e4, sigma=2693745423440080

n=13929: c9254(7341651599......) = 221608944108144730117 * c9234(3312885961......)

# ECM B1=25e4, sigma=5290018391876948

n=13935: c7392(1215695592......) = 106271593391800612892791 * c7369(1143951599......)

# ECM B1=25e4, sigma=4878222971826332

n=13985: c11177(8314638671......) = 1263984525838667231 * c11159(6578117454......)

# ECM B1=25e4, sigma=7584263001377795

n=13997: c13986(1155520219......) = 1626956151443089521324035723 * c13958(7102343959......)

# ECM B1=5e4, sigma=8209970773959364

# 210469 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 210469 個の Φ_n(10) の素因数が見つかりました。

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