# via Kurt Beschorner
n=2388: c695(1106311477......) = 30839997133023404987314306863618048001 * c657(3587261933......)
# P-1 B1=1e9
n=2442: c663(2561186003......) = 49456490287679221045707935346512906387197 * c622(5178665103......)
# P-1 B1=1e9
n=2738: c1316(6819591153......) = 961583576338166687686823020221823 * c1283(7092042045......)
# P-1 B1=1e9
n=2770: c1100(1890957693......) = 1269913878336593802382585415846565761 * c1064(1489044041......)
# P-1 B1=1e9
n=2896: c1345(2173894884......) = 46186243200327796436048713490806993 * c1310(4706801710......)
# P-1 B1=1e9
n=3164: c1329(4250882811......) = 34453877927677573724583746662925863572929 * c1289(1233789363......)
# P-1 B1=1e9
n=4032: c1101(8311176875......) = 1149577083859947625594601713224390529 * c1065(7229769097......)
# P-1 B1=1e9
n=4154: c1954(1324323887......) = 24885676845841029876280206797458941379223 * c1913(5321630976......)
# P-1 B1=1e9
n=4336: c2145(9223772266......) = 120503097025934614225984117089275131153 * c2107(7654386064......)
# P-1 B1=1e8
n=4746: c1256(2384347040......) = 566256935791593456102477071486505601 * c1220(4210715824......)
# P-1 B1=1e9
n=4748: c2342(3467824539......) = 11008452797970068679277520033958689 * c2308(3150147076......)
# P-1 B1=1e8
n=5242: c2587(1831543024......) = 643083186967699780266670713918928931 * c2551(2848065477......)
# P-1 B1=1e8
n=5278: c1997(1143300339......) = 10557304966503810141196212383472343369213 * c1957(1082947156......)
# P-1 B1=1e9
n=5476: c2640(4068154736......) = 39704605233301365544142402346649 * c2609(1024605259......)
# P-1 B1=1e8
n=5612: c2613(1129157680......) = 5200572835917560280870095774827921 * c2579(2171217895......)
# P-1 B1=1e8
n=5676: c1640(2266229893......) = 60010660555308299243971058378689609 * c1605(3776378851......)
# P-1 B1=1e9
n=5746: c2482(4948135946......) = 28742894780382677995250968097648752463 * c2445(1721516216......)
# P-1 B1=1e8
n=5842: c2753(1593114544......) = 611259099144640384957656663318759207463 * p2714(2606283565......)
# P-1 B1=1e6
$ ./pfgw64 -tc -q"11*(10^2921+1)/42205691447586263349158483268522510530112813321529721550317/(10^23+1)/(10^127+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing 11*(10^2921+1)/42205691447586263349158483268522510530112813321529721550317/(10^23+1)/(10^127+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N+1 BLS with factored part 0.17% and helper 0.13% (0.67% proof) 11*(10^2921+1)/42205691447586263349158483268522510530112813321529721550317/(10^23+1)/(10^127+1) is Fermat and Lucas PRP! (0.2833s+0.0004s)
n=5888: c2810(4717691011......) = 5190431816856039227338578055761409 * c2776(9089207174......)
# P-1 B1=1e8
n=5910: c1540(1416532900......) = 37578013293914885440756732730401 * c1508(3769579007......)
# P-1 B1=1e9
n=5934: c1848(9100000000......) = 246889735346482803823124949695587412078539 * c1807(3685855949......)
# P-1 B1=1e9
n=5970: c1554(2764690769......) = 111645105744695543769378129533591929201 * c1516(2476320615......)
# P-1 B1=1e9
n=6006: c1384(8383420744......) = 1127405843603847671204058787760709019 * c1348(7436027400......)
# P-1 B1=1e9
n=6048: c1675(6180206335......) = 27463289803537363527885340451375058863041 * c1635(2250351789......)
# P-1 B1=1e9
n=6176: c3067(1005695252......) = 2593760010604408630401448600207562593 * c3030(3877364320......)
# P-1 B1=1e8
n=6390: c1630(5004627231......) = 9896646236002933822798196874660931 * c1596(5056892115......)
# P-1 B1=1e9
n=6456: c2128(5534702999......) = 197390459653772512675213065371018917260960721 * c2084(2803936425......)
# P-1 B1=1e8
n=6486: c1982(9871528924......) = 4759976125582735881156140675266005188887 * c1943(2073861016......)
# P-1 B1=1e9
n=7052: c3335(1407178520......) = 4608158402387156248919515491038699029 * c3298(3053667859......)
# P-1 B1=1e8
n=7232: c3563(4834013690......) = 8114613370481922230652951941118288294977 * c3523(5957170687......)
# P-1 B1=1e8
n=7308: c1993(4627616657......) = 4452278235642219158759369430433189 * c1960(1039381730......)
# P-1 B1=1e9
n=7698: c2517(1409712421......) = 680967535797761329479818305375688058373 * c2478(2070160979......)
# P-1 B1=1e8
n=8246: c3218(1409438178......) = 24749806404758076780332504664299816455649 * c3177(5694744254......)
# P-1 B1=1e8
n=8302: c3544(1021574246......) = 24847902339257338205683745064387481 * c3509(4111309812......)
# P-1 B1=1e8
n=8370: c2156(2389429162......) = 727277354166367703302208465230580401 * c2120(3285444197......)
# P-1 B1=1e7
n=8498: c3615(3899590303......) = 658795774320753696940038361251296983 * c3579(5919270365......)
# P-1 B1=1e8
n=8610: c1921(1098890000......) = 5004844858427955006137433437029141894459256983171 * c1872(2195652475......)
# P-1 B1=1e9
n=8828: c4383(6969639402......) = 908048334163502127235157462720849 * c4350(7675405747......)
# P-1 B1=1e8
n=8886: c2910(3272514660......) = 4610799943809342524332325125122139 * c2876(7097498698......)
# P-1 B1=1e8
n=9278: c4625(7846911005......) = 178967609457260723734945736769930758491 * c4587(4384542560......)
# P-1 B1=1e8
n=9500M: c1740(1675522818......) = 1389276995921038490276012693684170501 * c1704(1206039416......)
# P-1 B1=1e9
n=9602: c4796(3155798622......) = 15207616059867348952985702076478757 * c4762(2075143539......)
# P-1 B1=1e7
n=9656: c4466(3037225147......) = 315444077393162364745161425645089 * c4433(9628410756......)
# P-1 B1=1e8
n=9666: c3182(2753776060......) = 12855978003019647537974939713465431265165477 * c3139(2142019891......)
# P-1 B1=1e7
n=9930: c2601(8122869272......) = 61671228916866667209759217595104005501763171 * p2558(1317124600......)
# P-1 B1=1e8
$ ./pfgw64 -tc -q"91*(10^331+1)*(10^3310-10^1655+1)/690898947570333872987985756751184674247861873575495003493834629864278481996018870175506708531/(10^993+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing 91*(10^331+1)*(10^3310-10^1655+1)/690898947570333872987985756751184674247861873575495003493834629864278481996018870175506708531/(10^993+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 11 Running N-1 test using base 19 Running N-1 test using base 31 Running N+1 test using discriminant 41, base 12+sqrt(41) Calling N-1 BLS with factored part 0.35% and helper 0.15% (1.21% proof) 91*(10^331+1)*(10^3310-10^1655+1)/690898947570333872987985756751184674247861873575495003493834629864278481996018870175506708531/(10^993+1) is Fermat and Lucas PRP! (0.4537s+0.0004s)
n=9942: c3288(5075592784......) = 43467985151114679005547700224343 * c3257(1167662307......)
# P-1 B1=1e8
n=10488: c3168(9999000100......) = 287374954797570518269388577100751017 * c3133(3479426419......)
# P-1 B1=1e8
n=10658: c5235(1153969529......) = 20691076470793661181542957533 * c5206(5577136264......)
# P-1 B1=1e8
n=10814: c5394(3095444933......) = 4024882991335789017910299401112406279032157 * c5351(7690769991......)
# P-1 B1=1e8
n=11214: c3152(2712004211......) = 1627099537708421295488917956882995216738329 * c3110(1666772160......)
# P-1 B1=1e8
n=11630: c4636(1053115308......) = 174128888010298790779720344400493016890949851 * c4591(6047906927......)
# P-1 B1=1e8
n=11682: c3464(3270528100......) = 42819917640216465507294153124177263691957 * c3423(7637866395......)
# P-1 B1=1e8
n=11702: c5835(7796329309......) = 35659510626055479151905581947019 * c5804(2186325379......)
# P-1 B1=1e8
n=11798: c5537(1099999999......) = 771444069344282691412094893770299087 * c5501(1425897279......)
# P-1 B1=1e8
n=11810: c4714(3462470069......) = 3374803948069233657246676428211 * c4684(1025976656......)
# P-1 B1=1e8
n=12690: c3279(2594332866......) = 137575581863383286618080444161841 * c3247(1885750967......)
# P-1 B1=1e7
n=13464: c3840(9999999999......) = 3269715600000850288606774756873 * c3810(3058369969......)
# P-1 B1=1e7
n=13740L: c1790(3433044691......) = 1548452449774981487124114738255451081759501 * c1748(2217081119......)
# P-1 B1=1e9
n=14234: c6438(1638816068......) = 2151794470154731199911566897889901567 * c6401(7616043686......)
# P-1 B1=1e8
n=14402: c6800(2545883768......) = 3395246939013047559825870109666696331 * c6763(7498375860......)
# P-1 B1=1e7
n=14712: c4875(2816095694......) = 189406563350567423601791210549970073 * c4840(1486799424......)
# P-1 B1=1e8
n=14744: c6891(4283911168......) = 14277904858100191941756199650929 * c6860(3000378004......)
# P-1 B1=1e6
n=14892: c4587(6054987374......) = 2079392210786906583659785328450330461 * c4551(2911902498......)
# P-1 B1=1e8
n=15238: c7192(3460592087......) = 5731595372087037824234893121 * c7164(6037746670......)
# P-1 B1=1e7
n=15318: c4736(4108920011......) = 1229012880303385954419155875783 * c4706(3343268469......)
# P-1 B1=1e7
n=15370: c5790(4639839461......) = 1667014347124004912178088065636721 * c5757(2783323052......)
# P-1 B1=1e7
n=15392: c6913(1000000000......) = 239415107968342305240235441409 * c6883(4176845849......)
# P-1 B1=1e7
n=15562: c7416(2241010661......) = 4826088623169168098832958142188637 * c7382(4643534002......)
# P-1 B1=1e6
n=15804: c5227(2769060033......) = 1898300805512526704694359881 * c5200(1458704556......)
# P-1 B1=1e7
n=15862: c6120(9090910000......) = 36530183445954827944549810076117 * c6089(2488602339......)
# P-1 B1=1e7
n=15888: c5267(2453679101......) = 45502340134172462287114845715057 * c5235(5392423982......)
# P-1 B1=1e8
n=15924: c5250(5179682471......) = 560073201418766239105754045955002716009 * c5211(9248224086......)
# P-1 B1=1e8
n=16028: c7989(3351611928......) = 53469438971172405641464482200929 * c7957(6268275847......)
# P-1 B1=1e6
n=16038: c4819(4055544679......) = 1376526137506499047899570858595400419 * c4783(2946216979......)
# P-1 B1=1e8
n=16488: c5440(2786951107......) = 14410637565324152730789889 * c5415(1933954063......)
# P-1 B1=1e7
n=16560: c4176(4961448978......) = 159287226231413970347326561 * c4150(3114781452......)
# P-1 B1=1e7
n=16722: c5530(4614839527......) = 4394595902339685132940987171 * c5503(1050116923......)
# P-1 B1=1e7
n=16822: c7707(3141551307......) = 9740166824765577309862169 * c7682(3225356776......)
# P-1 B1=1e7
n=16828: c7191(1698282898......) = 10477431663972441052746002292649 * c7160(1620896182......)
# P-1 B1=1e7
n=17010: c3861(1157656789......) = 50621935015761465614958084132091 * c3829(2286867915......)
# P-1 B1=1e7
n=17022: c5632(1921477233......) = 37644083708680825738427567701369 * c5600(5104327278......)
# P-1 B1=1e8
n=17050: c6000(9999900000......) = 8078109936717326780557734001 * c5973(1237900954......)
# P-1 B1=1e7
n=17098: c8336(2339640781......) = 16463155407829534621460504529887 * c8305(1421137518......)
# P-1 B1=1e6
n=17208: c5713(1000000000......) = 6533031042598722528390472477334385527580001 * c5670(1530683068......)
# P-1 B1=1e8
n=17248: c6709(5304824921......) = 525228098136988412500970239410509473 * c6674(1010004022......)
# P-1 B1=1e6
n=17302: c8378(2875862011......) = 2273909772621090032319456103 * c8351(1264721250......)
# P-1 B1=1e7
n=17328: c5446(1737081935......) = 6931065797831945307392334049 * c5418(2506226294......)
# P-1 B1=1e7
n=17526: c5485(1074261060......) = 779639506416144466327250239406401 * c5452(1377894593......)
# P-1 B1=1e8
n=17588: c8779(1833561548......) = 14855343049146052775095167601 * c8751(1234277486......)
# P-1 B1=1e7
n=17628: c5371(1369908502......) = 1687037625132951509072929 * c5346(8120201243......)
# P-1 B1=1e7
n=17712: c5731(2608821758......) = 5203915699038722059111489 * c5706(5013189892......)
# P-1 B1=1e7
n=17768: c8847(2152004804......) = 5226487155193245474030477521 * c8819(4117497547......)
# P-1 B1=1e7
n=17842: c8077(7980772656......) = 29501729355362438190395567 * c8052(2705188079......)
# P-1 B1=1e7
n=18040: c6378(7468138990......) = 1819661811025550271298810671855079441 * c6342(4104135694......)
# P-1 B1=1e8
n=18090: c4695(6295051634......) = 96375212967008103876091 * c4672(6531816056......)
# P-1 B1=1e6
n=18224: c8403(4576800897......) = 24349529357003116699932975521 * c8375(1879626020......)
# P-1 B1=1e6
n=18448: c9199(1244080063......) = 1301304643418538210621368512129 * c9168(9560252241......)
# P-1 B1=1e7
n=18456: c6106(1194656209......) = 9886770903035092853593001371393030769919121 * c6063(1208338112......)
# P-1 B1=1e8
n=18530: c6883(1828906916......) = 6313775540419270536811811 * c6858(2896692961......)
# P-1 B1=1e6
n=18744: c5591(1185788582......) = 21436091543942058367910400073 * c5562(5531738749......)
# P-1 B1=1e6
n=18950: c7500(1158658229......) = 530844533904549991939648601 * c7473(2182669605......)
# P-1 B1=1e7
n=19082: c7728(9090910000......) = 2360879607556819530149067517810283641 * c7692(3850645314......)
# P-1 B1=1e6
n=19086: c6361(1098901098......) = 417348818736070836256064980080164983 * c6325(2633051897......)
# P-1 B1=1e8
n=19322: c9644(6255799800......) = 61083757027408257997360971533 * c9616(1024134746......)
# P-1 B1=1e7
n=19332: c6394(5982974922......) = 1728427915141191848623821949 * c6367(3461512551......)
# P-1 B1=1e7
n=19336: c9664(9999000099......) = 1085564316404443310310485998777 * c9634(9210877650......)
# P-1 B1=1e7
n=19440: c5176(5768146324......) = 91764153360544926880194996535201 * c5144(6285838329......)
# P-1 B1=1e7
n=19476: c6438(4258830566......) = 476746985409136101272620112643001 * c6405(8933104343......)
# P-1 B1=1e8
n=19600: c6700(1641803578......) = 936733721876058671317016174401 * c6670(1752689734......)
# P-1 B1=1e7
n=19642: c7870(8913146140......) = 37677953735792038920592727 * c7845(2365613112......)
# P-1 B1=1e7
# 1283 of 300000 Φn(10) factorizations were finished. 300000 個中 1283 個の Φn(10) の素因数分解が終わりました。
# 213393 of 300000 Φn(10) factorizations were cracked. 300000 個中 213393 個の Φn(10) の素因数が見つかりました。
# 130 of 25997 Rprime factorizations were finished. 25997 個中 130 個の Rprime の素因数分解が終わりました。
# 20081 of 25997 Rprime factorizations were cracked. 25997 個中 20081 個の Rprime の素因数が見つかりました。
Largest known factors that appear after the previous one 1 n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017) 2 n=730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371 (NFS@Home / Jul 26, 2024) 3 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) 4 n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020) 5 n=1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901 (NFS@Home / Mar 17, 2024) 6 n=1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761 (NFS@Home / Mar 13, 2024) 7 n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013) 8 n=1740M: 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner / Jun 27, 2021) 9 n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016) 10 n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017) 11 n=2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 (George Bradshaw / Feb 19, 2023) 12 n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018) 13 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) 14 n=14316: 57346926970351862773268747899315323798217129 (Kurt Beschorner / Aug 5, 2024) 15 n=18456: 9886770903035092853593001371393030769919121 (Torbjörn Granlund / Nov 18, 2024) 16 n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018) 17 n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018) 18 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) 19 n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017) 20 n=253620L: 1221015147166230558535777472152845661 (Alfred Reich / Oct 23, 2023) 21 n=268140L: 60348364918187687874129722715181 (Alfred Reich / Oct 23, 2023) 22 n=283706: 526153303629299051259344033783 (Alfred Reich / Oct 23, 2023) 23 n=295980M: 98690902056965040529354491601 (Alfred Reich / Oct 23, 2023) 24 n=298740L: 66173162995033300571567659861 (Alfred Reich / Oct 23, 2023) 25 n=299420L: 33569847171752615806052144021 (Alfred Reich / Oct 23, 2023) 26 n=299996: 38693214591429090355181 (Alfred Reich / Oct 23, 2023) 27 n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021) 28 n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019)
# via Kurt Beschorner
n=2604: c686(2638579025......) = 24448546850113917037786674257956049252521 * c646(1079237568......)
# ECM B1=1e6
n=2916: c892(2511437049......) = 4195814654151937120330327975639201 * c858(5985576715......)
# ECM B1=1e6
n=2970: c689(7432459902......) = 690282702009816065768196407742211 * c657(1076726952......)
# ECM B1=1e6
n=3162: c948(3221988899......) = 134910124895643680784194263388480883007609 * c907(2388248399......)
# ECM B1=1e6
n=3570: c745(1594362456......) = 25865722661111109914481075964342795441 * c707(6163997340......)
# ECM B1=1e6
n=2192: c1065(3834784083......) = 22697864788706004146519819933242976609 * c1028(1689491112......)
# ECM B1=1e6
n=2342: c1093(3562802167......) = 49299730037908119786764739353618327 * c1058(7226818817......)
# ECM B1=1e6
n=3110: c1208(7485617892......) = 28035951049347859956384327321687704851 * c1171(2670006763......)
# ECM B1=1e6
n=3496: c1520(5235745689......) = 2432060640329428482194730414131113 * c1487(2152802279......)
# ECM B1=2.5e5
n=3706: c1729(1099999999......) = 88735662850196739797693338555620259 * c1694(1239636877......)
# ECM B1=5e5
n=4114: c1701(3732753848......) = 52609226627306010745333111068274343 * c1666(7095245620......)
# ECM B1=5e5
n=4268: c1911(2704555255......) = 280154685995581059221433954462109 * c1878(9653792673......)
# ECM B1=1e6
n=4458: c1370(3834532536......) = 318843739793503408108159272791503 * c1338(1202636921......)
# ECM B1=1e6
n=4488: c1280(9999000100......) = 354638747142779622617897664545205355417 * c1242(2819488896......)
# ECM B1=1e6
n=4620M: c402(1879597399......) = 391165830331081935356094833268262692283321 * c360(4805116535......)
# ECM B1=3e6
n=4712: c2155(1583917872......) = 148171581742857600717643876024801 * c2123(1068975476......)
# ECM B1=1e6
n=4756: c2148(9765147514......) = 95352041920513968713795611265741 * c2117(1024115196......)
# ECM B1=1e6
n=5028: c1571(2436519602......) = 93687467337623351797267989687273857859361 * c1530(2600688940......)
# ECM B1=2.5e5
n=5104: c2227(2890777745......) = 6375049854966150323090311653281 * c2196(4534517864......)
# ECM B1=1e6
n=5562: c1829(4534462394......) = 1675166469754979318318966655391573062632681050411 * c1781(2706872705......)
# ECM B1=5e5
n=5584: c2746(2787793515......) = 3490922673200692730234939992961 * c2715(7985835769......)
# ECM B1=1e6
n=5718: c1883(8741238093......) = 1546465965707343370500722733355870823023 * c1844(5652396035......)
# ECM B1=5e5
n=5726: c2441(3980649734......) = 270439634555423977654733043208901161 * c2406(1471918027......)
# ECM B1=5e5
n=5792: c2799(8460365523......) = 2481725917682043318986617115873 * c2769(3409065224......)
# ECM B1=5e5
n=5852: c2139(4144278843......) = 44850747452221536403435503888089 * c2107(9240155580......)
# ECM B1=1e6
n=6278: c2989(7315421701......) = 6740793551471253406606942970921183 * c2956(1085246365......)
# ECM B1=2.5e5
n=6438: c1996(3292149774......) = 1286086381532881761631010370196549201 * c1960(2559820103......)
# ECM B1=2.5e5
n=6536: c2966(3246614303......) = 1775209233038246078828291007421337 * c2933(1828862898......)
# ECM B1=1e6
n=6670: c2430(2075524650......) = 4963082191798150637820060861662561 * c2396(4181926814......)
# ECM B1=1e6
n=7090: c2823(3463958498......) = 568771060529228349938490987697721 * c2790(6090250961......)
# ECM B1=5e5
n=7312: c3619(4033721086......) = 10119007661569323615826076623009 * c3588(3986281285......)
# ECM B1=5e5
n=7342: c3655(8899876998......) = 3059346759646825975141748361824956517 * c3619(2909077557......)
# ECM B1=1e5
n=7422: c2449(1238530148......) = 14776241343822319590361898631133 * c2417(8381902538......)
# ECM B1=1e5
n=7874: c3768(7677190544......) = 6607467708901962419025297081737761249601 * c3729(1161896036......)
# ECM B1=5e5
n=7918: c3805(1170577562......) = 29466805352305404977974596605386651 * c3770(3972529592......)
# ECM B1=5e5
n=8176: c3427(2519730109......) = 2931483180150892088295038024449 * c3396(8595410428......)
# ECM B1=2.5e5
n=8226: c2720(3065620513......) = 198195508972868055641231971076246099449 * c2682(1546765882......)
# ECM B1=5e5
n=8272: c3649(1327911929......) = 26860356253353129182987114159855489 * c3614(4943761418......)
# ECM B1=5e5
n=8296: c3831(3632388514......) = 13952265865824379919786738885136937 * c3797(2603439863......)
# ECM B1=1e6
n=8410: c3241(5630021662......) = 1666185659584144442885553966342654061809451 * c3199(3378988187......)
# ECM B1=1e6
n=8504: c4202(2254805194......) = 26644578023188204357380507022124180965433 * c4161(8462529195......)
# ECM B1=5e5
n=8656: c4303(4713943187......) = 865588623131698184950812116593 * c4273(5445939400......)
# ECM B1=5e5
n=8734: c3955(8396241536......) = 4623381423183970412975545037921 * c3925(1816039121......)
# ECM B1=1e5
n=8736: c2295(4651504100......) = 52866958603164277225413781258884193 * c2260(8798508981......)
# ECM B1=1e6
n=8764: c3740(1152428657......) = 4515114965644660959626141751170021 * c3706(2552379433......)
# ECM B1=5e5
n=8866: c3593(2946458508......) = 2177860289102579516374524848693 * c3563(1352914382......)
# ECM B1=5e5
n=8910: c2134(2553016584......) = 296612839453782466705709405330136451 * c2098(8607235578......)
# ECM B1=5e5
n=9016: c3680(9540690439......) = 42256126489094363510123459600153 * c3649(2257824186......)
# ECM B1=5e5
n=9028: c4293(3852684134......) = 1464758504041686136002192290225809 * c4260(2630252102......)
# ECM B1=5e5
n=9042: c2692(4525563738......) = 86778193639335707300180875246597 * c2660(5215093272......)
# ECM B1=1e6
n=9290: c3697(7338323582......) = 100408285641455848359633351464742841 * c3662(7308484091......)
# ECM B1=5e5
n=9384: c2784(6778743997......) = 22817517429241759831682085255337 * c2753(2970850802......)
# ECM B1=1e5
n=9416: c4225(4477399260......) = 335040615412148390577192870137 * c4196(1336375070......)
# ECM B1=5e5
n=9476: c4476(3915506690......) = 111032467520745186412085016022501001 * c4441(3526452017......)
# ECM B1=2.5e5
n=9642: c3196(1979592565......) = 31574122623080342748374740637533447 * c3161(6269667694......)
# ECM B1=1e6
n=9678: c3218(1356586460......) = 1965882483203529879660380424472459 * c3184(6900648804......)
# ECM B1=5e5
n=9758: c3840(9090910000......) = 21444211120295385972789535602419 * c3809(4239330581......)
# ECM B1=5e5
n=9772: c4110(1274181094......) = 74915436117173227002352013241469 * c4078(1700825838......)
# ECM B1=5e5
n=9938: c4951(1207654896......) = 12885729436820377182691483828182623 * c4916(9372033631......)
# ECM B1=1e6
n=10024: c4225(2795216143......) = 73824261337791943727420399969977 * c4193(3786311021......)
# ECM B1=5e5
n=10136: c4291(5237321719......) = 1250563890967936376520370627523257 * c4258(4187968129......)
# ECM B1=2.5e5
n=10138: c4875(2687803279......) = 25608258703071667568105205956809147133 * c4838(1049584554......)
# ECM B1=1e5
n=10320: c2589(9190728533......) = 29768847245696641373030027581441 * c2558(3087364605......)
# ECM B1=1e6
n=10402: c4410(2406427290......) = 36206121470408003902670552797 * c4381(6646465273......)
# ECM B1=5e5
n=10406: c4573(1472726921......) = 36681078089170920840417698299 * c4544(4014949937......)
# ECM
n=10440: c2681(2169054314......) = 199596062698660731812098984778161 * c2649(1086721995......)
# ECM B1=1e6
n=10472: c3811(1070288366......) = 282670477292048196738936635804873 * c3778(3786346479......)
# ECM B1=1e6
n=10480: c4161(1000000009......) = 2802810330363381786539817366881 * x4130(3567847596......)
# ECM B1=2.5e5
n=10480: x4130(3567847596......) = 6629779694691625657435026103453921 * c4096(5381547744......)
# ECM B1=2.5e5
n=10506: c3255(4859035739......) = 67820437322889292482243257383 * c3226(7164559727......)
# ECM B1=2.5e5
n=10536: c3472(1923752315......) = 444414420704301489917273627599489 * c3439(4328735131......)
# ECM B1=1e5
n=10578: c3360(9100000000......) = 13996471563941380413696864629042527 * c3326(6501638615......)
# ECM B1=5e5
n=10650: c2775(1808553896......) = 3053503133839300328295837015091801 * c2741(5922882071......)
# ECM B1=5e5
n=10718: c5036(2640426437......) = 119670649951726278420161541533253173 * c5001(2206411044......)
# ECM B1=1e6
n=10798: c5353(8104926186......) = 669674476616131953456956036303 * c5324(1210278496......)
# ECM B1=5e5
n=10818: c3580(7533042523......) = 1434404523925979355327831397 * c3553(5251686255......)
# ECM B1=5e5
n=10842: c3297(9144457929......) = 13729128856658695075888233397 * c3269(6660625029......)
# ECM B1=5e5
n=10936: c5460(9142360885......) = 27711473863192880106060060189378553 * c5426(3299124734......)
# ECM B1=2.5e5
n=11016: c3450(7091952123......) = 1109026080822830514639500391019201 * c3417(6394756846......)
# ECM B1=2.5e5
n=11024: c4950(6991898060......) = 332579999513366769784850650577 * c4921(2102320666......)
# ECM B1=1e6
n=11040: c2740(1130928778......) = 9006198100013090328398440321 * x2712(1255722743......)
# ECM B1=5e5
n=11040: x2712(1255722743......) = 20847280586087471498290675201 * c2683(6023436670......)
# ECM B1=2.5e5
n=11202: c3711(1033425189......) = 21907187823972771337194302757607 * c3679(4717288215......)
# ECM B1=1e6
n=11390: c4224(9091000000......) = 17153230689231584649837649841 * c4196(5299876253......)
# ECM B1=2.5e5
n=11488: c5675(1282881620......) = 133128234562132983277422982690212289 * c5639(9636435309......)
# ECM B1=5e5
n=11496: c3805(4614534360......) = 214667979267639381575151369409 * c3776(2149614663......)
# ECM B1=1e6
n=11528: c5158(7019210540......) = 42080380078316924098145628073 * c5130(1668048275......)
# ECM B1=2.5e5
n=11542: c5524(5657157727......) = 43839848215897989300615748597 * p5496(1290414533......)
# ECM B1=2.5e5
$ ./pfgw64 -tc -q"11*(10^5771+1)/8524392522983226175490943651896140989001183787573/(10^29+1)/(10^199+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing 11*(10^5771+1)/8524392522983226175490943651896140989001183787573/(10^29+1)/(10^199+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 13, base 1+sqrt(13) Calling N+1 BLS with factored part 0.10% and helper 0.07% (0.37% proof) 11*(10^5771+1)/8524392522983226175490943651896140989001183787573/(10^29+1)/(10^199+1) is Fermat and Lucas PRP! (1.0720s+0.0004s)
n=11544: c3447(1352409595......) = 154543556543181065980759137858553 * c3414(8750993092......)
# ECM B1=1e6
n=11564: c4859(1527363038......) = 5984418359912710034809254001 * c4831(2552233060......)
# ECM
n=11632: c5768(3902849271......) = 851720552623604512729686194287009 * c5735(4582311956......)
# ECM B1=2.5e5
n=11662: c4705(1000000000......) = 42418529436229745362507033787453 * c4673(2357460320......)
# ECM B1=5e5
n=11690: c3959(5074611296......) = 7904462718373304246181590624081 * c3928(6419931977......)
# ECM B1=1e5
n=11730: c2783(1031816816......) = 390981032853677597062360545691 * c2753(2639045707......)
# ECM B1=2.5e5
n=11738: c5830(3752683862......) = 2019331313420157569012277087539 * c5800(1858379473......)
# ECM B1=5e5
n=11774: c4864(1513631716......) = 314845215303602953133267485366601 * c4831(4807542382......)
# ECM B1=2.5e5
n=11776: c5620(5453850386......) = 130565509284503661354753782273 * c5591(4177098849......)
# ECM B1=5e5
n=11786: c5713(2093849338......) = 31787967714422217319600477 * c5687(6586924202......)
# ECM B1=1e5
n=11914: c4727(1984301655......) = 706203981344402422660622425993237 * c4694(2809813747......)
# ECM B1=2.5e5
n=11928: c3349(1130587560......) = 972115965253491672413654066689 * c3319(1163017171......)
# ECM B1=5e5
n=12018: c3996(6018029101......) = 24048873394995562522191060997 * c3968(2502416226......)
# ECM
n=12034: c5433(6337374004......) = 67642725084977763442937627551481 * c5401(9368892214......)
# ECM B1=1e6
n=12080: c4801(1000000009......) = 225705841967550450973642605281 * c4771(4430545533......)
# ECM B1=5e5
n=12124: c5154(4721689455......) = 1248642798157518166292531877996601 * c5121(3781457325......)
# ECM B1=2.5e5
n=12194: c4705(4148235063......) = 2878875581137649191245362032091 * c4675(1440921966......)
# ECM B1=5e5
n=12234: c4042(9829243833......) = 692282787828675733331172926430967 * c4010(1419830740......)
# ECM B1=1e6
n=12610: c4541(2622632523......) = 538234799606924316896497112291 * c4511(4872655067......)
# ECM B1=5e5
n=12636: c3889(1000000000......) = 269056522286959441805146114129 * c3859(3716691167......)
# ECM B1=2.5e5
n=12722: c6345(2903162639......) = 18433098563529181172365303197691 * c6314(1574972666......)
# ECM B1=5e5
n=12748: c6342(8043363198......) = 3311832982798520008911409821589 * c6312(2428674163......)
# ECM B1=5e4
n=12768: c3402(4567197678......) = 4551383393875377064140138685249 * c3372(1003474610......)
# ECM B1=1e6
n=12782: c4870(3416955788......) = 326347601544518914374612227376209 * c4838(1047029539......)
# ECM B1=1e6
n=12788: c6052(3452424748......) = 1435709494292762635483332775841 * c6022(2404681979......)
# ECM B1=1e6
n=12842: c6384(3398220690......) = 9006669323727909767286426197 * c6356(3773004835......)
# ECM B1=2.5e5
n=12880: c4204(1261601332......) = 27952092506826619737096937601 * x4175(4513441461......)
# ECM B1=2.5e5
n=12880: x4175(4513441461......) = 84537643288109619097286339932481 * c4143(5338972421......)
# ECM
n=12894: c3648(1408173318......) = 234727238099089060112103037 * c3621(5999190081......)
# ECM B1=2.5e5
n=12896: c5737(1269428750......) = 5005818621047576360540553669909682337 * c5700(2535906405......)
# ECM B1=1e6
n=12930: c3435(1082762826......) = 51620027637650204736344569947157441 * c3400(2097563437......)
# ECM B1=2.5e5
n=12958: c5359(2409896809......) = 30493145644837246434700876349969 * c5327(7903077096......)
# ECM B1=5e5
n=12996: c4039(1489763100......) = 101344338278189772667549201 * c4013(1470001310......)
# ECM B1=5e5
n=13024: c5752(1169929858......) = 241019581721193052208099329 * c5725(4854086337......)
# ECM B1=5e4
n=13160: c4407(1443333369......) = 10399560941239009589202858696551281 * c4373(1387879140......)
# ECM B1=2.5e5
n=13266: c3870(4182837571......) = 8400723629806519924849958093995693 * c3836(4979139602......)
# ECM B1=1e5
n=13310: c4796(7179713961......) = 13404997029935255925004241479921 * c4765(5355998173......)
# ECM B1=1e5
n=13320: c3452(3753612852......) = 66361568276849539952469235681 * c3423(5656305222......)
# ECM B1=2.5e5
n=13392: c4297(9925752956......) = 26232818720187931375631356397835217 * c4263(3783715757......)
# ECM B1=1e6
n=13426: c5713(1000000099......) = 20541281909723984638470049269049 * c5681(4868245830......)
# ECM B1=5e5
n=13454: c5572(8902543649......) = 3032523894813796341541882541929 * c5542(2935687882......)
# ECM B1=5e5
n=13492: c6744(9900990099......) = 853895375502126821508240245161 * c6715(1159508574......)
# ECM B1=5e5
n=13496: c5735(2106182900......) = 770094742824181876075570185521 * c5705(2734965950......)
# ECM B1=1e5
n=13786: c6691(1065662623......) = 105165018454783366906467915089 * c6662(1013324239......)
# ECM B1=2.5e5
n=13842: c4568(1417268558......) = 124627418621257081726371384412601527 * c4533(1137204456......)
# ECM B1=1e6
n=13938: c4327(4591069139......) = 4427113289495605428225554948023 * c4297(1037034482......)
# ECM B1=5e5
n=14056: c5996(7114604823......) = 431255299688076877105081009251235201 * c5961(1649743163......)
# ECM B1=1e6
n=14064: c4653(2812269791......) = 21245882682636993989106780433 * c4625(1323677549......)
# ECM B1=2.5e5
n=14124: c4213(1033810331......) = 1297277772932505851539328095119169 * c4179(7969074571......)
# ECM B1=5e5
n=14152: c6656(1117560758......) = 3361952297019359757554116873 * c6628(3324142225......)
# ECM B1=5e5
n=14170: c5146(5903957481......) = 2511591657546754721042285332841 * c5116(2350683664......)
# ECM B1=2.5e5
n=14176: c7026(6621163623......) = 1516059613366139561595263956481 * c6996(4367350442......)
# ECM B1=2.5e5
n=14198: c6817(3872281026......) = 1913059137030898792636503157 * c6790(2024130332......)
# ECM B1=1e5
n=14224: c6023(2942721216......) = 828717425209303089487305401645761 * c5990(3550934404......)
# ECM B1=5e5
n=14240: c5627(8778012833......) = 404002712055519493954443521 * c5601(2172760868......)
# ECM B1=2.5e5
n=14366: c6487(2025073448......) = 11740030300229508820141845617779 * c6456(1724930342......)
# ECM B1=1e6
n=14370: c3780(1106913753......) = 1377663399126809063549171681131 * c3749(8034718450......)
# ECM B1=5e5
n=14376: c4785(1000099999......) = 3004772510257772818187427201217921 * c4751(3328371770......)
# ECM B1=1e6
n=14394: c4733(3204033486......) = 229267027003298432379891714329533 * c4701(1397511682......)
# ECM B1=1e6
n=14400: c3830(1772956697......) = 34452548147600267070268801 * c3804(5146082924......)
# ECM B1=2.5e5
n=14436: c4775(9854868195......) = 1566885269716288671740953637269 * c4745(6289463807......)
# ECM B1=2.5e5
n=14446: c6929(2517966553......) = 1464507953996332757755951247 * x6902(1719325966......)
# ECM B1=5e5
n=14446: x6902(1719325966......) = 3865571383335063860376937301783 * c6871(4447792566......)
# ECM B1=2.5e5
n=14452: c7192(1023028190......) = 26838459182879846059864897808501 * c7160(3811799268......)
# ECM B1=1e5
n=14456: c6593(8917804242......) = 1767619128995256227118639017 * c6566(5045093762......)
# ECM B1=5e5
n=14554: c6877(1099999999......) = 135336386823049038099304642480757 * c6844(8127895430......)
# ECM B1=2.5e5
n=14670: c3888(9990010000......) = 104640352044654413219714960446531 * c3856(9546995785......)
# ECM B1=2.5e5
n=14720: c5614(3546291926......) = 251180046864709520196696779361281 * c5582(1411852561......)
# ECM B1=5e5
n=14758: c7163(4133302747......) = 211563917185306057204172594413 * c7134(1953689836......)
# ECM B1=2.5e5
n=14778: c4905(4256966502......) = 704793176185448510948224583492504811841 * c4866(6040022301......)
# ECM B1=2.5e5
n=14804: c7400(9900990099......) = 136668773910075171760938072041341 * c7368(7244515199......)
# ECM B1=5e5
n=14814: c4885(9767577844......) = 4200414975085449674046138444703 * c4855(2325384016......)
# ECM B1=2.5e5
n=14840: c4955(5403841383......) = 92489237599328406977461441 * c4929(5842670481......)
# ECM B1=1e5
n=14988: c4932(1579636517......) = 4554051187384079436518092294261 * c4901(3468640232......)
# ECM B1=2.5e5
n=15036: c4217(1968300711......) = 1718261553014792273409364122984361 * c4184(1145518682......)
# ECM B1=5e5
n=15044: c7460(3234821963......) = 1589311786347105358080229081 * c7433(2035360205......)
# ECM B1=5e5
n=15048: c4245(2576385233......) = 20976332822310082894904905921 * c4217(1228234341......)
# ECM B1=1e5
n=15110: c5990(1016688436......) = 646490920735696141052743321051 * c5960(1572626009......)
# ECM B1=5e5
n=15114: c4463(3499750634......) = 12833935819657299441456979130269801 * c4429(2726950394......)
# ECM B1=5e5
n=15274: c6489(1188727545......) = 21602917490324077152062234920007 * c6457(5502625031......)
# ECM B1=5e5
n=15320: c6049(6251621589......) = 72694853200189837533769625180274001 * c6014(8599813211......)
# ECM B1=2.5e5
n=15330: c3457(1098890000......) = 119074877094181756818017595481 * c3427(9228562959......)
# ECM B1=2.5e5
n=15358: c6509(3841756918......) = 13310088572337389634342801863 * c6481(2886349627......)
# ECM B1=2.5e5
n=15432: c5137(1000099999......) = 261878258438022137952239306929 * c5107(3818950095......)
# ECM B1=5e5
n=15496: c7036(1311188124......) = 285426910637479686587379193 * x7009(4593778916......)
# ECM B1=2.5e5
n=15496: x7009(4593778916......) = 13306099079477488146909217894897201 * c6975(3452385923......)
# ECM B1=5e5
n=15550: c6176(1224623275......) = 61281151495471694491664186251 * c6147(1998368577......)
# ECM B1=5e5
n=15618: c4885(8736446239......) = 702203650243936676542601302453 * c4856(1244147084......)
# ECM B1=1e6
n=15632: c7785(1148458704......) = 4838223656632224191848904449 * c7757(2373719749......)
# ECM B1=1e6
n=15690: c4169(8936717965......) = 551883358395935280956995365683161 * c4137(1619312818......)
# ECM B1=5e5
n=15694: c6233(5168213917......) = 111896991941250243042183358940171 * c6201(4618724621......)
# ECM B1=1e6
n=15714: c5137(3178897866......) = 1868407445370434596095957562879327 * c5104(1701394347......)
# ECM B1=1e6
n=15718: c7537(8573450374......) = 58386544606416584478687517 * c7512(1468394889......)
# ECM
n=15744: c4979(1683999210......) = 16662312225239949817689139969 * c4951(1010663578......)
# ECM B1=5e5
n=15784: c7835(3770686930......) = 97326341848135596112877411177 * c7806(3874271711......)
# ECM B1=2.5e5
n=15790: c6313(1099989000......) = 478471676195244910731603502531 * c6283(2298963668......)
# ECM B1=2.5e5
n=15830: c6324(2316205175......) = 181735940122423942397354442691 * c6295(1274489335......)
# ECM B1=5e5
n=15858: c5235(1349899013......) = 799695139888605420639138928357 * x5205(1688017027......)
# ECM B1=5e5
n=15858: x5205(1688017027......) = 10624365242220737879424805222438579 * c5171(1588816827......)
# ECM B1=1e6
n=15906: c4780(3119185105......) = 1072877406722537242064474261166769 * c4747(2907308035......)
# ECM B1=1e6
n=15968: c7938(1208098279......) = 198256482506676882829296139502113 * c7905(6093613002......)
# ECM B1=5e5
n=15972: c4841(1000000000......) = 176604931709427632153361400321 * c4811(5662356030......)
# ECM B1=1e6
n=15996: c4997(1106181294......) = 1919794695678255545841984829 * c4969(5761977030......)
# ECM B1=1e0
n=16098: c5298(8488708252......) = 59051891945598167859824731 * c5273(1437499794......)
# ECM B1=2.5e5
n=16226: c6467(2694104355......) = 437822287350745706486873039808753407 * c6431(6153419854......)
# ECM B1=1e6
n=16258: c7366(3564780505......) = 24358569084536808645026202437 * c7338(1463460555......)
# ECM B1=1e5
n=16274: c7925(8971747878......) = 23824821207333348486876449303 * c7897(3765714672......)
# ECM B1=1e6
n=16296: c4603(8765439762......) = 86426983626665652269725227649 * c4575(1014201745......)
# ECM B1=1e5
n=16304: c8118(1032136064......) = 201272912888734212524452579713678475313 * c8079(5128042565......)
# ECM B1=2.5e5
n=16364: c8163(4565719440......) = 72494882841718026134545350512221 * c8131(6297988577......)
# ECM B1=2.5e5
n=16452: c5473(1000000999......) = 37919027182322759686834353708601 * c5441(2637201094......)
# ECM B1=1e6
n=16456: c7032(3309809841......) = 2689448060768801465894964457 * c7005(1230665090......)
# ECM B1=1e5
n=16494: c5485(1225739932......) = 86975737610796985673904235051 * c5456(1409289493......)
# ECM B1=2.5e5
n=16498: c8056(1808766435......) = 16711386254924846704216980361 * c8028(1082355711......)
# ECM B1=1e5
n=16516: c8244(3491752910......) = 103077292025391318037126649 * c8218(3387509355......)
# ECM B1=2.5e5
n=16518: c5470(1548360891......) = 68101842761457413108021611 * x5444(2273596174......)
# ECM B1=1e5
n=16518: x5444(2273596174......) = 1482081102658796106776479827379 * c5414(1534056517......)
# ECM B1=5e5
n=16524: c5159(8332276576......) = 57335082222680413300052573860618669 * c5125(1453259723......)
# ECM B1=1e6
n=16558: c7724(9851790025......) = 15429532319091493805830664263 * c7696(6385021802......)
# ECM B1=5e5
n=16566: c4929(7628092411......) = 86579194832347439851096124164663 * c4897(8810537481......)
# ECM B1=1e6
n=16608: c5487(5428754213......) = 1073501220012024038088343393 * c5460(5057054535......)
# ECM B1=5e5
n=16646: c6715(9102105589......) = 808249358593054391816451815797 * c6686(1126150672......)
# ECM B1=2.5e5
n=16692: c5067(1715567693......) = 36268974756953313149238120229 * c5038(4730124590......)
# ECM B1=5e5
n=16698: c4804(1623122137......) = 3627696187353241323286768891 * c4776(4474250470......)
# ECM B1=2.5e5
n=16722: c5560(1470864918......) = 318725041257190396222497947863 * c5530(4614839527......)
# ECM B1=5e5
n=16742: c7601(1099999999......) = 7213425056141600565452740130663 * c7570(1524934398......)
# ECM B1=2.5e5
n=16758: c4531(2983640698......) = 20630943706468996500242146183 * c4503(1446196907......)
# ECM B1=2.5e5
n=16808: c7601(1000099999......) = 9330732845794712417079998781337 * c7570(1071834352......)
# ECM B1=2.5e5
n=16832: c8375(1410874285......) = 104118466588381985227072247301589121 * c8340(1355066331......)
# ECM B1=2.5e5
n=16898: c6670(2702027273......) = 2421843816564599707908254677891 * p6640(1115690142......)
# ECM B1=2.5e5
$ ./pfgw64 -tc -q"909091*(10^17+1)*(10^71+1)*(10^8449+1)/814823906115239146435608781127077031373697040944185947532896577230713013096247491/(10^119+1)/(10^497+1)/(10^1207+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing 909091*(10^17+1)*(10^71+1)*(10^8449+1)/814823906115239146435608781127077031373697040944185947532896577230713013096247491/(10^119+1)/(10^497+1)/(10^1207+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 10+sqrt(11) Calling N-1 BLS with factored part 0.25% and helper 0.04% (0.79% proof) 909091*(10^17+1)*(10^71+1)*(10^8449+1)/814823906115239146435608781127077031373697040944185947532896577230713013096247491/(10^119+1)/(10^497+1)/(10^1207+1) is Fermat and Lucas PRP! (1.6364s+0.0005s)
n=16914: c5637(1098901098......) = 1787085587992110191220245930983 * c5606(6149124061......)
# ECM B1=5e5
n=16930: c6695(1882363859......) = 64964129440349720611230721 * c6669(2897543421......)
# ECM
n=16954: c7200(2128499390......) = 19317754362871679533741980121 * p7172(1101835829......)
# ECM B1=2.5e5
$ ./pfgw64 -tc -q"(10^7+1)*(10^8477+1)/90757631330376326863295767995211184299160077091998013/(10^49+1)/(10^1211+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing (10^7+1)*(10^8477+1)/90757631330376326863295767995211184299160077091998013/(10^49+1)/(10^1211+1) [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 0.08% and helper 0.03% (0.29% proof) (10^7+1)*(10^8477+1)/90757631330376326863295767995211184299160077091998013/(10^49+1)/(10^1211+1) is Fermat and Lucas PRP! (1.8502s+0.0004s)
n=17040: c4460(1102759048......) = 392601064906199226580223783382721 * c4427(2808853941......)
# ECM B1=5e5
n=17072: c7631(4174842976......) = 11070083461703539430116485836113 * c7600(3771284101......)
# ECM B1=5e5
n=17122: c7311(5111904648......) = 679734091059746608092706279333535767 * c7275(7520447651......)
# ECM B1=1e6
n=17266: c8434(1290852294......) = 18736042748728415076807450769 * c8405(6889674151......)
# ECM B1=1e6
n=17312: c8627(2212783432......) = 127617578991569984606766136769 * c8598(1733917419......)
# ECM B1=5e5
n=17320: c6893(8139446056......) = 38415068557774647821480472001 * c6865(2118815965......)
# ECM B1=5e5
n=17338: c8632(2545868845......) = 11169444483984971330840130331 * c8604(2279315546......)
# ECM B1=5e5
n=17342: c7367(7288394368......) = 44000949292536455286208051 * c7342(1656417528......)
# ECM B1=1e5
n=17358: c5240(9100000000......) = 35578014550565996806639717 * c5215(2557759367......)
# ECM B1=2.5e5
n=17366: c8133(3894941816......) = 115198670490331891663813237 * c8107(3381064902......)
# ECM B1=1e6
n=17374: c6832(5064203729......) = 5605722320153116654998214459 * c6804(9033989626......)
# ECM B1=2.5e5
n=17430: c3931(4203043783......) = 1366261029014564184194320768697761 * c3898(3076310963......)
# ECM B1=5e5
n=17448: c5777(6607787662......) = 28286597769083247455970457 * c5752(2336013583......)
# ECM B1=1e5
n=17452: c8695(4662907987......) = 159256185746954218183974851641241 * c8663(2927928962......)
# ECM B1=1e6
n=17496: c5810(5437809792......) = 6870978376243388122154693917249 * c5779(7914171017......)
# ECM B1=5e5
n=17534: c7961(1099999999......) = 64900862121584159555289263 * c7935(1694892739......)
# ECM B1=2.5e5
n=17546: c8454(1402513278......) = 3646263333245800669367047324556108437 * c8417(3846439903......)
# ECM B1=1e6
n=17548: c8467(5047607522......) = 8580782286087959767195156478209 * c8436(5882456114......)
# ECM B1=2.5e5
n=17570: c5987(7621328092......) = 71266542079023826681277451041 * c5959(1069411798......)
# ECM B1=2.5e5
n=17608: c8392(3218566677......) = 15569394173922408466932549113 * c8364(2067239509......)
# ECM B1=2.5e5
n=17632: c8058(1407321477......) = 118632382421034512471137 * c8035(1186287798......)
# ECM B1=5e4
n=17680: c6144(9999999900......) = 220703955874848692869733204641 * c6115(4530956348......)
# ECM B1=5e5
n=17682: c5011(3854334087......) = 8590328505584670240853568771437 * c4980(4486829677......)
# ECM B1=1e6
n=17692: c8828(2826112393......) = 16402439019146061322694101 * c8803(1722983021......)
# ECM B1=2.5e5
n=17708: c8330(3968857371......) = 1319087518458946826469949 * c8306(3008790027......)
# ECM B1=2.5e5
n=17712: c5756(5645571049......) = 21640309583248110802137121 * c5731(2608821758......)
# ECM B1=1e5
n=17716: c8557(1125179990......) = 2784409934462866088585729561 * x8529(4040999769......)
# ECM B1=5e5
n=17716: x8529(4040999769......) = 19344730976907279767604053281 * c8501(2088940794......)
# ECM B1=2.5e5
n=17758: c8185(1099999999......) = 95284647325766442427651 * x8162(1154435715......)
# ECM
n=17758: x8162(1154435715......) = 1970078714426350513553647 * c8137(5859845634......)
# ECM B1=1e5
n=17770: c7090(6363352453......) = 21764072680422736103368531 * c7065(2923787540......)
# ECM B1=2.5e5
n=17792: c8783(1599900826......) = 4675931842161310583507968890881 * c8752(3421565754......)
# ECM B1=1e6
n=17798: c8069(8764663160......) = 71894272242556060911493411247 * c8041(1219104510......)
# ECM B1=5e5
n=17808: c4986(7292791658......) = 4627886814120273252034417 * c4962(1575836218......)
# ECM B1=2.5e5
n=17810: c6507(3280465853......) = 57946038874313992007718364331 * x6478(5661242627......)
# ECM B1=1e5
n=17810: x6478(5661242627......) = 32955251835755850457644813561251 * c6447(1717857492......)
# ECM B1=5e5
n=17822: c7112(5229079846......) = 1049892931362591697783081 * c7088(4980583915......)
# ECM B1=2.5e5
n=17826: c5941(1098901098......) = 146894199175295127536263813 * x5914(7480901935......)
# ECM B1=5e5
n=17826: x5914(7480901935......) = 1411559946422946524755879813291 * c5884(5299740867......)
# ECM B1=5e5
n=17844: c5902(2636595588......) = 2599259209671117723583110286921 * c5872(1014364238......)
# ECM B1=1e6
n=17852: c8924(9900990099......) = 2213033880064722350076939971069 * c8894(4473944203......)
# ECM B1=5e5
n=17862: c5404(1182284480......) = 61529649778472766631838527 * x5378(1921487421......)
# ECM B1=5e5
n=17862: x5378(1921487421......) = 137322298748367731674668033729267529 * c5343(1399253754......)
# ECM B1=2.5e5
n=17886: c5383(1722148749......) = 89896282650822418495991718738383197 * c5348(1915706299......)
# ECM B1=2.5e5
n=17898: c5567(1402859550......) = 129678866052222581631967 * c5544(1081795047......)
# ECM B1=1e5
n=17906: c7643(1727162874......) = 348961416349166613602595259 * c7616(4949437941......)
# ECM B1=1e5
n=17910: c4739(7654177467......) = 1198814424640560542051371 * c4715(6384789263......)
# ECM B1=2.5e5
n=17950: c7131(1658732994......) = 1109852898748975398424645263401 * c7101(1494552112......)
# ECM B1=2.5e5
n=18018: c4293(6224366493......) = 561767227566460201690463069011 * c4264(1107997438......)
# ECM B1=1e6
n=18078: c5679(4555760299......) = 9643632563529047358967233798001 * c5648(4724112277......)
# ECM B1=2.5e5
n=18098: c9012(5701271822......) = 336944375164833446945685391889 * c8983(1692051342......)
# ECM B1=5e5
n=18130: c6033(4675051602......) = 1673037346547595498440370588161 * c6003(2794349816......)
# ECM B1=5e5
n=18136: c9034(3340595926......) = 6836442794539781036510288822561 * c9003(4886453418......)
# ECM B1=1e5
n=18188: c9028(7973166846......) = 58698220113855288132253654789 * c9000(1358331961......)
# ECM B1=5e5
n=18202: c8583(5213254592......) = 420235190982534739773397853 * c8557(1240556408......)
# ECM B1=2.5e5
n=18224: c8436(9035613899......) = 1974220444064801429068929251940641 * c8403(4576800897......)
# ECM B1=2.5e5
n=18244: c9110(1250367892......) = 70624642945024825618684845809 * c9081(1770441365......)
# ECM B1=1e6
n=18246: c6071(7991051803......) = 664744518532140608367533851 * c6045(1202123760......)
# ECM B1=5e5
n=18248: c9113(6327372183......) = 79491952270041047010879041 * c9087(7959764483......)
# ECM B1=2.5e5
n=18262: c8699(1592371183......) = 73636894424276705006056499 * c8673(2162463796......)
# ECM B1=2.5e5
n=18274: c9104(9184523960......) = 79260031146329006765733467845201 * c9073(1158783793......)
# ECM B1=5e5
n=18276: c6065(9830348109......) = 245423580243775276257082768749109 * c6033(4005461944......)
# ECM B1=2.5e5
n=18282: c5505(2260568042......) = 4957670380267197331208251 * c5480(4559738484......)
# ECM B1=2.5e5
n=18284: c7816(4550210334......) = 970466858172329580815962656471221 * c7783(4688681840......)
# ECM B1=5e5
n=18288: c6026(2465983118......) = 21187903633717358030385457 * c6001(1163863665......)
# ECM B1=1e5
n=18292: c8547(6626765818......) = 2129127948810677054006815849 * c8520(3112431933......)
# ECM
n=18306: c6014(2154907128......) = 5722334055069204813504284107825704772037641 * c5971(3765783520......)
# ECM B1=5e5
n=18310: c7283(1157829742......) = 91147034316458883390201731 * c7257(1270287893......)
# ECM B1=1e6
n=18326: c6667(2334636008......) = 22986891679238342738229441557 * c6639(1015637973......)
# ECM B1=2.5e5
n=18328: c8727(2617249977......) = 737601128404023660018762697 * c8700(3548326970......)
# ECM B1=2.5e5
n=18330: c4411(4611546848......) = 17100550347922712270530321 * c4386(2696724230......)
# ECM B1=2.5e5
n=18338: c8926(8325935307......) = 114367468002868344413010713237 * c8897(7279985692......)
# ECM B1=1e6
n=18342: c6090(1572079646......) = 12088795286888908042392086167 * c6062(1300443600......)
# ECM B1=2.5e5
n=18354: c4713(5789562829......) = 3219501798419182858462118659 * c4686(1798279110......)
# ECM B1=5e5
n=18416: c9179(7969947514......) = 402212070455004903763567649 * c9153(1981528675......)
# ECM B1=5e4
n=18422: c9001(1099999999......) = 113389814179412997698348293 * c8974(9701047734......)
# ECM B1=2.5e5
n=18426: c5892(3325388310......) = 6356067262460248555527859642237 * c5861(5231833102......)
# ECM B1=5e5
n=18440: c7346(7765283875......) = 4087216638704228718491757841 * c7319(1899895347......)
# ECM B1=5e5
n=18510: c4928(9100090999......) = 33536004775219266377896224811 * c4900(2713528657......)
# ECM B1=1e5
n=18512: c8449(1000000009......) = 9137374150100906303425110241 * c8421(1094406328......)
# ECM B1=1e6
n=18528: c6114(4659880195......) = 1169044202530351992033313 * x6090(3986059881......)
# ECM B1=1e5
n=18528: x6090(3986059881......) = 26856215310490234191404080417 * c6062(1484222492......)
# ECM B1=1e5
n=18538: c7899(1708655362......) = 8704334980210684513811161501453 * c7868(1962993573......)
# ECM B1=1e6
n=18542: c9073(1099999999......) = 272185903883276105584550788637 * c9043(4041355501......)
# ECM B1=2.5e5
n=18548: c9245(3247186898......) = 27269257810662925488871481 * x9220(1190786680......)
# ECM B1=2.5e5
n=18548: x9220(1190786680......) = 27623423032111861107813356341 * c9191(4310786100......)
# ECM B1=2.5e5
n=18584: c8801(1000099999......) = 1516378750803331257697681 * c8776(6595317953......)
# ECM
n=18618: c5908(1534960996......) = 11512067897421281653697887 * c5883(1333349499......)
# ECM B1=2.5e5
n=18634: c7181(6048406182......) = 2017497989727596908657280059213 * c7151(2997973833......)
# ECM B1=2.5e5
n=18704: c7959(4763875654......) = 3794297644379391470290033 * x7935(1255535569......)
# ECM B1=2.5e5
n=18704: x7935(1255535569......) = 208559444579947227867521 * c7911(6020036983......)
# ECM B1=5e4
n=18716: c9325(4539458599......) = 5631445778382473644315352191835029 * c9291(8060911492......)
# ECM B1=2.5e5
n=18760: c6336(9999000099......) = 265298704010638921240003121 * x6310(3768959270......)
# ECM B1=1e5
n=18760: x6310(3768959270......) = 4931194017897773965475458561 * c6282(7643096696......)
# ECM
n=18762: c6022(2464667578......) = 26101211653801232901493 * c5999(9442732434......)
# ECM B1=1e5
n=18770: c7483(2208452085......) = 13548340109398914903379623521 * c7455(1630053620......)
# ECM B1=5e5
n=18782: c9353(1166859065......) = 739907396358719715520774404379 * c9323(1577033925......)
# ECM B1=5e5
n=18836: c8800(1342239927......) = 5023097998097721732412889 * c8775(2672135657......)
# ECM B1=2.5e5
n=18930: c5009(3674642967......) = 2952383010305612924902615921 * c4982(1244636266......)
# ECM B1=2.5e5
n=18950: c7561(1000009999......) = 412072599910852552751064240852851 * x7528(2426781106......)
# ECM B1=2.5e5
n=18950: x7528(2426781106......) = 20944753549248446423309641801 * c7500(1158658229......)
# ECM B1=5e5
n=18958: c9454(4255315800......) = 11096112000374002481632511813 * c9426(3834961110......)
# ECM B1=2.5e5
n=18996: c6292(4709119478......) = 792101202706203043786760269249 * c6262(5945098255......)
# ECM B1=5e5
n=19000: c7174(3330734518......) = 7268905938936362591099030392001 * c7143(4582167586......)
# ECM B1=1e6
n=19062: c6321(8515345800......) = 39878207066402943176831131 * c6296(2135338177......)
# ECM B1=2.5e5
n=19068: c5419(2472598138......) = 113327027279205174877705369 * c5393(2181825640......)
# ECM B1=5e5
n=19154: c9354(2234601008......) = 58262481085303324179207703 * c9328(3835403105......)
# ECM B1=2.5e5
n=19160: c7529(6651270072......) = 365692840223281292418610961 * c7503(1818813315......)
# ECM B1=2.5e5
n=19178: c9290(3964617864......) = 151402889440440486941741983 * c9264(2618587980......)
# ECM B1=5e4
n=19182: c6054(1350509002......) = 42799482626798894925771469327 * c6025(3155433008......)
# ECM
n=19208: c8232(9999999999......) = 7399618793424734906373520790393689729 * c8196(1351420968......)
# ECM B1=5e5
n=19222: c8170(2020492341......) = 342648688895364322077376024613 * c8140(5896687794......)
# ECM B1=5e5
n=19290: c5111(5979806274......) = 2457739215194282820655692093931 * c5081(2433051577......)
# ECM B1=2.5e5
n=19292: c7454(3404740995......) = 97015358758155216276716372009 * c7425(3509486579......)
# ECM B1=5e5
n=19302: c6405(6197422759......) = 412297201109023264989400005997 * c6376(1503144513......)
# ECM B1=5e4
n=19306: c8215(7781755309......) = 43656025981803124718332924519807 * c8184(1782515731......)
# ECM B1=5e5
n=19310: c7702(1698080770......) = 9219696970796774258549891 * p7677(1841796726......)
# ECM B1=1e5
$ ./pfgw64 -tc -q"(10^9655+1)/542948081886669914746500880036351407378149370371/(10^1931+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing (10^9655+1)/542948081886669914746500880036351407378149370371/(10^1931+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N-1 BLS with factored part 0.11% and helper 0.09% (0.44% proof) (10^9655+1)/542948081886669914746500880036351407378149370371/(10^1931+1) is Fermat and Lucas PRP! (1.9792s+0.0004s)
n=19314: c6044(1724109901......) = 271646749249028437547781289 * c6017(6346882139......)
# ECM B1=2.5e5
n=19330: c7716(3197532993......) = 8668678235162318516907261691 * c7688(3688605006......)
# ECM B1=2.5e5
n=19378: c9662(2300809403......) = 6877644199791394382938162688339 * c9631(3345345203......)
# ECM B1=5e5
n=19384: c9688(9999000099......) = 3938019285748798482726649257318449 * c9655(2539093735......)
# ECM B1=1e6
n=19392: c6381(4315253116......) = 260291657223921864829105784715649 * c6349(1657853026......)
# ECM B1=5e5
n=19396: c8929(1009999999......) = 1676028712711900231893709489 * c8901(6026149745......)
# ECM B1=2.5e5
n=19416: c6460(5150641190......) = 1463999310188709611599330075009 * c6430(3518199192......)
# ECM B1=5e5
n=19428: c6456(2407782820......) = 14371162305701180042487673969 * c6428(1675426642......)
# ECM B1=5e5
n=19432: c8287(9595309595......) = 1882986798530979318026412879728777 * c8254(5095792282......)
# ECM B1=5e5
n=19446: c5515(1017328902......) = 1719597542449275224486215816010437 * c5481(5916087210......)
# ECM B1=5e5
n=19492: c8808(1976653429......) = 478974309826268620316223904469 * c8778(4126846447......)
# ECM B1=5e5
n=19494: c6109(1235014693......) = 50004694676289453980869664209 * c6080(2469797489......)
# ECM B1=5e5
n=19518: c6482(6527472515......) = 235459138494755104848585847 * c6456(2772231546......)
# ECM
n=19544: c8284(1753253700......) = 85884311800644096574196243695969 * c8252(2041413226......)
# ECM B1=1e6
n=19644: c6502(3554281157......) = 36954787534838503023144251341 * c6473(9617917987......)
# ECM B1=5e5
n=19656: c5184(9999999999......) = 5160540506200863523681033 * c5160(1937781514......)
# ECM B1=5e5
n=19712: c7664(1381227280......) = 2289529535987506275146923009 * c7636(6032799574......)
# ECM B1=2.5e5
n=19720: c7134(1153435904......) = 1859583231963069265096481 * c7109(6202658125......)
# ECM B1=1e5
n=19722: c6183(2290223653......) = 49448819845523984010326227757491 * c6151(4631503158......)
# ECM B1=2.5e5
n=19734: c5251(5462469736......) = 125061565350184147751833835641 * c5222(4367824536......)
# ECM B1=5e5
n=19746: c6540(2800415735......) = 3776420413083983795790931 * c6515(7415529600......)
# ECM B1=1e5
n=19816: c9879(2680756786......) = 39428074988864044610430680478267913 * c9844(6799106441......)
# ECM B1=1e6
n=19950: c4259(9598387681......) = 650736548221532423486343751413451 * c4227(1475003625......)
# ECM B1=2.5e5
n=19970: c7958(2321664979......) = 28661588680355154688524810148931 * c7926(8100266197......)
# ECM B1=5e5
n=19978: c8542(3860380492......) = 1114877885115904326741125717413 * c8512(3462603881......)
# ECM B1=1e5
n=19940L: c3966(6752706662......) = 156271046319575398183239500556123497773481 * c3925(4321150220......)
# ECM B1=5e5
# 1281 of 300000 Φn(10) factorizations were finished. 300000 個中 1281 個の Φn(10) の素因数分解が終わりました。
# 213381 of 300000 Φn(10) factorizations were cracked. 300000 個中 213381 個の Φn(10) の素因数が見つかりました。
# 130 of 25997 Rprime factorizations were finished. 25997 個中 130 個の Rprime の素因数分解が終わりました。
# 20081 of 25997 Rprime factorizations were cracked. 25997 個中 20081 個の Rprime の素因数が見つかりました。
Largest known factors that appear after the previous one 1 n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017) 2 n=730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371 (NFS@Home / Jul 26, 2024) 3 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) 4 n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020) 5 n=1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901 (NFS@Home / Mar 17, 2024) 6 n=1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761 (NFS@Home / Mar 13, 2024) 7 n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013) 8 n=1740M: 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner / Jun 27, 2021) 9 n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016) 10 n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017) 11 n=2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 (George Bradshaw / Feb 19, 2023) 12 n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018) 13 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) 14 n=14316: 57346926970351862773268747899315323798217129 (Kurt Beschorner / Aug 5, 2024) 15 n=18306: 5722334055069204813504284107825704772037641 (Torbjörn Granlund / Nov 16, 2024) 16 n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018) 17 n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018) 18 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) 19 n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017) 20 n=253620L: 1221015147166230558535777472152845661 (Alfred Reich / Oct 23, 2023) 21 n=268140L: 60348364918187687874129722715181 (Alfred Reich / Oct 23, 2023) 22 n=283706: 526153303629299051259344033783 (Alfred Reich / Oct 23, 2023) 23 n=295980M: 98690902056965040529354491601 (Alfred Reich / Oct 23, 2023) 24 n=298740L: 66173162995033300571567659861 (Alfred Reich / Oct 23, 2023) 25 n=299420L: 33569847171752615806052144021 (Alfred Reich / Oct 23, 2023) 26 n=299996: 38693214591429090355181 (Alfred Reich / Oct 23, 2023) 27 n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021) 28 n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019)
# via factordb.com
n=2453 p2163(1754612408......) is proven
n=2921 p2738(6643381158......) is proven
n=12611 p12581(7329415337......) is proven
n=13917 p9225(6418845379......) is proven
n=17003 p14500(4642216475......) is proven
n=45340M p9034(8192636567......) is proven
# via Kurt Beschorner
n=1683: c924(3854343395......) = 7094269136760977218014836948723305450933 * c884(5433038021......)
n=1731: c1112(3283823477......) = 21481225216685350678161515038389787 * c1078(1528694683......)
n=2187: c1379(5547864394......) = 21308633677099951037311635962017389361 * c1342(2603575845......)
n=2289: c1271(8760993305......) = 19306123439772405301786737066921362521 * c1234(4537934988......)
n=2349: c1474(8598619043......) = 1450728419450614246387071597126321883351 * c1435(5927104569......)
n=2439: c1620(9990000009......) = 1750951613605088127239925104483031647431 * c1581(5705468918......)
n=2711: c2711(1111111111......) = 2429177830781265239696373889891451437603 * c2671(4574021288......)
n=2947: c2497(5519534286......) = 1111254447528443572188121925013179399474723363 * c2452(4966940108......)
n=3375: c1740(2020648766......) = 5636920616578062840761562879001 * c1709(3584667771......)
n=3395: c2229(3208078196......) = 1047259165586024962957754415606196751 * c2193(3063308779......)
n=3763: c3602(1767854317......) = 261631815901886754901630209830896414999 * c3563(6757031100......)
n=3783: c2260(2412975616......) = 2050156379068493102584809457787886092923 * c2221(1176971493......)
n=3865: c3025(5329513960......) = 12715708181685060600558310150912985641 * c2988(4191283634......)
n=4001: c4001(1111111111......) = 785668012864498594153755090667981081 * c3965(1414224701......)
n=4123: c3203(6977443626......) = 3615006019244589866307965298512979191 * c3167(1930133335......)
n=5291: c4277(6053192674......) = 46572831190351972867499154106274351597 * c4240(1299726153......)
n=5295: c2805(6120890581......) = 8569153920827778069491014006637714616026551 * c2762(7142934574......)
n=5509: c4686(4574602943......) = 245655366636481904294387728335220853 * c4651(1862203543......)
n=5551: c4321(1111110999......) = 2994317007589622287680380348501561156477 * c4281(3710732688......)
n=5597: c5367(8576297302......) = 3841078687097124869407100790777529 * c5334(2232783548......)
n=5717: c5717(1111111111......) = 12747258772040276660632435799376009307 * c5679(8716470976......)
n=5729: c5320(8048663073......) = 18860988209785924086716853780111143627 * c5283(4267360216......)
n=5761: c4932(9000000900......) = 43990530197708684383325546514137021161 * c4895(2045895073......)
n=5885: c4183(1258520670......) = 844450056620074126938596588698793372581001 * c4141(1490343521......)
n=5997: c3996(9009009009......) = 42003117580999868437768661876437 * c3965(2144842937......)
n=6011: c5964(1788300214......) = 5925206112374253156818936638869529 * c5930(3018123219......)
n=6223: c5264(6213076471......) = 1545303686192035046953668811992769 * c5231(4020618424......)
n=6415: c5128(9000090000......) = 9175104058281655753339473156391 * c5097(9809251147......)
n=6519: c4147(2228113243......) = 8318214534161460105630870205573 * c4116(2678595550......)
n=6527: c6350(1874325034......) = 768232679725546485130495224797 * c6320(2439788210......)
n=6529: c6517(3103248990......) = 3155681180270721374056974637173625027 * c6480(9833848266......)
n=6535: c5217(9893773812......) = 323945983881118599812279882508165647507231 * c5176(3054143068......)
n=6539: c6024(9000000000......) = 33805533821179999361542638159881 * c5993(2662286017......)
n=6601: c5250(2101785888......) = 3403226914877674366263719982773 * c5219(6175861736......)
n=6795: c3601(1001000999......) = 71318086372916239886625581556376591 * c3566(1403572432......)
n=6803: c6795(6481215373......) = 2167561857840026739852602279591 * c6765(2990094769......)
n=6823: c6800(1441376914......) = 4032610279007793201227302922034311773 * c6763(3574302535......)
n=6969: c4360(5903162464......) = 17284863696672036215929959110331284917 * c4323(3415220720......)
n=6975: c3569(1745143837......) = 283685716992988738279636629628152151 * c3533(6151680301......)
n=7003: c6651(3195719953......) = 1034885622798742700218772650666152755600801 * c6609(3087993381......)
n=7083: c4694(1143420173......) = 765085263684007765631988055037138839 * c4658(1494500322......)
n=7093: c6797(7634981519......) = 16386969842132484127375116377292439 * c6763(4659178355......)
n=7227: c4303(8549326793......) = 927315974687849547564996700237243 * c4270(9219432239......)
n=7471: c7140(3475260461......) = 5623173146639554770850636699184323 * c7106(6180248004......)
n=7473: c4769(3182949236......) = 7754432367783782127690087312836359 * c4735(4104683728......)
n=7701: c4759(1395995176......) = 5823687850949224270769389820151199 * c4725(2397098216......)
n=7819: c6692(2877514115......) = 90296000163190254168920720349030323 * c6657(3186757010......)
n=7901: c7879(2825146455......) = 14107041510778662073368754306929281 * c7845(2002649849......)
n=7929: c5280(9990000009......) = 9774230640445511234063175519001 * c5250(1022075330......)
n=7961: c7494(2789003841......) = 13629218040032503695263790183056171911 * c7457(2046341788......)
n=8195: c5893(2528390311......) = 273524796752500296358251688669379591 * c5857(9243733442......)
n=8253: c4660(1063307988......) = 47829062731517382751976640941655830569 * c4622(2223142013......)
n=8261: c7472(2509971762......) = 3164534367938109650289010885319835740161 * c7432(7931567400......)
n=8301: c5521(5511569730......) = 450385768288539083956297050438758857243 * c5483(1223744202......)
n=8335: c6646(1852375856......) = 1448902497362749961768537685911711 * c6613(1278468261......)
n=8411: c7743(8832835384......) = 34556671521668258064024578047376557 * c7709(2556043448......)
n=8475: c4400(8651698344......) = 824732370149634210114393712167055801 * c4365(1049031013......)
n=8523: c5676(9990000009......) = 133352804218021396519406310387613 * c5644(7491406025......)
n=8617: c7352(4719731832......) = 773008187701896989389487349175434820573 * c7313(6105668617......)
n=8751: c5824(2806049310......) = 250757533321745462773227135763987 * c5792(1119028917......)
n=8995: c6079(4929226720......) = 2642890492661890777326121144043315351 * c6043(1865089277......)
n=9179: c8963(7319446284......) = 41407118535863836328231199438831683 * c8929(1767678250......)
n=9373: c7336(4481468151......) = 16965568701949010634245850663569 * c7305(2641507767......)
n=9663: c6389(4571504838......) = 332615451808491919488183612731787973 * c6354(1374411445......)
n=9935: c7862(1742273156......) = 40972083250831015509382919165858664610349401 * c7818(4252342128......)
n=9991: c9770(1280461404......) = 128170195863151014481182999902603 * c9737(9990321041......)
n=11933: c11893(4867831159......) = 414925980131129258619162561359861129 * c11858(1173180613......)
# ECM B1=1000000, sigma=0:2535354785099330417
n=6620L: p1239(8766924399......) is proven
n=2588: c1263(2993786427......) = 358707685867464791644043614080398407699364549 * c1218(8346033679......)
# ECM B1=11e6, sigma=3:520840551
n=6620L: c1280(1065922849......) = 12158458323280420106135772848381096322161 * p1239(8766924399......)
# ECM B1=11e6, sigma=3:2600717268
n=6620M: c1312(1235469654......) = 642287726920966940956750396648795252481 * c1273(1923545480......)
# ECM B1=11e6, sigma=3:1012836728
n=10020M: c1316(5091300117......) = 777584027810159345125925179689199834434421 * c1274(6547588345......)
# ECM B1=11e6, sigma=3:2384873688
n=10534: c4954(1365183994......) = 226205881193915161320009774462839717 * c4918(6035139258......)
# ECM B1=1e6, sigma=0:3438171638309662
n=10552: c5268(2368926082......) = 177396567174208802425121364413353 * c5236(1335384398......)
# ECM B1=1e6, sigma=0:3957437626118494
n=20106: c6667(3973370413......) = 18683064958877822776369923274751573259529 * c6627(2126723009......)
# P-1 B1=56e6
n=100530: c26784(9990010000......) = 8880823511451062371 * c26766(1124896805......)
# P-1 B1=56e6
n=100531: c99854(8046578604......) = 13602355372259569 * c99838(5915577401......)
# P-1 B1=26e6
# via Kurt Beschorner
n=177147: c118076(1731996431......) = 17975564821722439 * c118059(9635282385......)
n=8942: c4151(7159668544......) = 1464836520301341417091423101371315459 * c4115(4887691182......)
# P-1 B1=1e9
n=10424: c5152(3731625899......) = 57942252239189441677496005862320636721 * c5114(6440249999......)
# ECM B1=1e6, sigma=0:59832573212747
n=14094: c4490(2930506857......) = 12480093421238519381361994578001 * c4459(2348144968......)
# P-1 B1=500e6
n=14107: c14100(5321828816......) = 1956842749478358759504522649 * c14073(2719599629......)
# P-1 B1=150e6
n=14108: c7006(1847438350......) = 216582055761926451208752488813449 * c6973(8529969597......)
# P-1 B1=200e6
n=33505: c26795(4476966239......) = 1045822484578566791 * c26777(4280808937......)
# P-1 B1=26e6
n=100513: c84625(1111110999......) = 4406172854153813 * c84609(2521714505......)
# P-1 B1=26e6
n=100515: c53562(8697039474......) = 940445147333643232441 * c53541(9247790261......)
# P-1 B1=26e6
n=100525: c80393(8289728235......) = 5732011026124335751 * c80375(1446216379......)
# P-1 B1=26e6
n=170537: c170526(4833501601......) = 2652533123498678267 * c170508(1822221015......)
n=170579: c170564(1772735094......) = 2383885374440306441 * c170545(7436326903......)
n=171167: c171161(1081896655......) = 2082228604826256881 * c171142(5195859154......)
n=171341: c171329(5449415990......) = 13001283521808877717 * c171310(4191444623......)
n=171449: c171438(1824575353......) = 9777801130672250089 * c171419(1866038518......)
n=171539: c171516(2037600020......) = 1443611262079414159 * c171498(1411460324......)
# gr-mfaktc
# via Kurt Beschorner
n=15991: c15991(1111111111......) = 172162941266993330396729039 * c15964(6453834390......)
# ECM B1=1e6, sigma=4867608413414300
n=16069: c16069(1111111111......) = 133668399424837027337344405603231 * c16036(8312444196......)
# ECM B1=1e6, sigma=4413080158643041
n=25031: c25031(1111111111......) = 609471758670332641184098358947 * x25001(1823072349......)
# ECM B1=1e6, sigma=5196294818478462
n=25031: x25001(1823072349......) = 51200151616835849440828708535231 * c24969(3560677638......)
# ECM B1=1e6, sigma=1742695876983339
# 213327 of 300000 Φn(10) factorizations were cracked. 300000 個中 213327 個の Φn(10) の素因数が見つかりました。
# 20078 of 25997 Rprime factorizations were cracked. 25997 個中 20078 個の Rprime の素因数が見つかりました。
n=8332: c4130(5901343496......) = 680445408889792780179826779807875306556149 * c4088(8672765544......)
# P-1 B1=1e9
n=10448: c5184(5729023481......) = 20669254225975294991344335110737 * c5153(2771761099......)
# ECM B1=1e6, sigma=0:606849483862269
n=10456: c5195(6209495142......) = 34803087160489599423500860348073 * c5164(1784179407......)
# ECM B1=1e6, sigma=0:927816581658530
n=8182: c4090(9090909090......) = 28850879428309054815593321203131133 * c4056(3150998954......)
# P-1 B1=1e9
n=8642: c4080(1580752923......) = 101599598603089933081005893438131 * c4048(1555865323......)
# P-1 B1=1e9
n=9562: c4073(5143228907......) = 1098665161915444484072499291463 * c4043(4681343402......)
# P-1 B1=1e9
n=10240: c4083(1362698914......) = 6622682172419180380334835196998082561 * c4046(2057623903......)
# P-1 B1=1e9
n=14072: c6996(3190106558......) = 5493962077492722494356347121 * c6968(5806568216......)
# P-1 B1=450e6
n=14079: c8194(7419819585......) = 1078931823934740350351479 * c8170(6877005035......)
# P-1 B1=180e6
n=14085: c7462(9797254431......) = 17156314595069688962452470031 * c7434(5710582174......)
# P-1 B1=200e6
n=33499: c33100(7844667626......) = 3461905701337494163 * c33082(2265996911......)
# P-1 B1=26e6
n=100495: c79194(1256394341......) = 4035721212339505681 * c79175(3113184175......)
# P-1 B1=26e6
n=100499: c85842(2618511883......) = 8007927154880146690267 * c85820(3269899729......)
# P-1 B1=26e6
n=100502: c48591(4545288959......) = 14078436953716007303 * c48572(3228546588......)
# P-1 B1=55e6
n=100503: c61767(8915065910......) = 48692729975753706180464881 * c61742(1830882334......)
# P-1 B1=26e6
n=100507: c91352(1909296408......) = 611882048848418851999 * c91331(3120366764......)
# P-1 B1=26e6
n=170047: c170025(8211107914......) = 17944419711952309813 * c170006(4575855918......)
n=170249: c170239(5671175242......) = 6568827945769181747 * c170220(8633465954......)
# gr-mfaktc
n=754: c292(2269497958......) = 2680052779284995695116101096172766967989394552173439874009704597 * c228(8468109194......)
# ECM
n=14069: c12758(5127264376......) = 218313329070736647028271 * c12735(2348580546......)
# P-1 B1=170e6
n=100462: c50218(8877094332......) = 905737785027762878665260841 * c50191(9800953961......)
# P-1 B1=55e6
n=100474: c45598(3700675624......) = 1344819502034029549529 * c45577(2751800980......)
# P-1 B1=55e6
n=100476: c33471(4408112078......) = 254266871786431065402411601 * c33445(1733655685......)
# P-1 B1=55e6
n=100479: c66953(1699577397......) = 11113295140657992140962406293 * c66925(1529319051......)
# P-1 B1=26e6
n=100490: c37056(9091000000......) = 1353656760084265312573053521 * c37029(6715882687......)
# P-1 B1=55e6
n=168253: c168235(4242052021......) = 6044993586619713653 * c168216(7017463228......)
n=169003: c168991(1288458278......) = 886246965096311911 * c168973(1453836604......)
n=169177: c169154(9626718260......) = 5971514691674150557 * c169136(1612106602......)
n=169409: c169390(5005636084......) = 13223132479093429723 * c169371(3785514584......)
n=169427: c169417(1935784935......) = 489596966937968569 * c169399(3953833594......)
# gr-mfaktc