n=12183: c7784(1199104518......) = 109821907852656265834529348424560071 * c7749(1091862763......)
# ECM B1=1e6, sigma=7051987285101674
n=12185: c9744(9000090000......) = 130322056866604174556330887201 * c9715(6906037410......)
# ECM B1=1e6, sigma=2275484587771368
n=12187: c10372(3947440503......) = 4331894187607779562471947940622489759 * c10335(9112504444......)
# ECM B1=1e6, sigma=899074588164263
n=12197: c12139(1125672810......) = 281192396724953094378341698240982668717 * c12100(4003212118......)
# ECM B1=1e6, sigma=1544402678692367
n=12198: c3785(8911801886......) = 100121059314668298378348902933673188089 * p3747(8901026365......)
# ECM B1=3e6, sigma=6858696947538165
$ ./pfgw64 -tc -q"91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing 91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N-1 BLS with factored part 0.27% and helper 0.12% (0.94% proof) 91*(10^19+1)*(10^107+1)*(10^4066-10^2033+1)/1022354010291092039862560981007071415649878538699338460526954692249201/(10^57+1)/(10^321+1) is Fermat and Lucas PRP! (0.6468s+0.0005s)
n=12199: c11062(1042569824......) = 1739280392832343482352334226643081 * c11028(5994259627......)
# ECM B1=1e6, sigma=1208315919345894
n=12201: c6878(5298946632......) = 109836927317630094632408443 * c6852(4824376247......)
# ECM B1=1e6, sigma=3736292984657857
n=12220L: c2182(6756713074......) = 6973238477503511321447740394630472080633701 * c2139(9689490896......)
# ECM B1=11e6, sigma=1197379811455370
n=33604: c16180(2877998774......) = 291531278012433218181442837529809 * c16147(9872006854......)
# P-1 B1=120e6
n=100807: c86393(1867772414......) = 760773901018618018808663640224203 * c86360(2455095280......)
# P-1 B1=50e6
n=12220M: p2056(2581065597......) is proven
# https://stdkmd.net/nrr/cert/Phi/#CERT_PHI_12220M_10
# via Kurt Beschorner
n=61099: c61099(1111111111......) = 155172907171674539481224758667 * c61069(7160471060......)
n=1894: c865(2779739449......) = 1512040242246245347303337158506932100321187855884973 * c814(1838403087......)
# ECM B1=43e6, sigma=2352180745415083
n=12220M: c2149(5133251812......) = 17503457490665154492212181558514493368181 * x2109(2932707332......)
# ECM B1=11e6, sigma=6555790569521410
n=12220M: x2109(2932707332......) = 113623897643786632271953538007199774915605819798424201 * p2056(2581065597......)
$ ./pfgw64 -tc -q"((10^611+1)*((10^1222+10^611)*(10^611+10^306+3)+10^306+2)-1)/387436879171048830775285680943473572634153494526910757938451190135073369288002715153793926339132153380485015065917495589607338001514036961976831476575719381424349889685609559196401568752233509671466521/((10^47+1)*((10^94+10^47)*(10^47+10^24+3)+10^24+2)-1)" PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Primality testing ((10^611+1)*((10^1222+10^611)*(10^611+10^306+3)+10^306+2)-1)/387436879171048830775285680943473572634153494526910757938451190135073369288002715153793926339132153380485015065917495589607338001514036961976831476575719381424349889685609559196401568752233509671466521/((10^47+1)*((10^94+10^47)*(10^47+10^24+3)+10^24+2)-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 discriminant 19, base 9+sqrt(19) Calling N-1 BLS with factored part 0.23% and helper 0.07% (0.79% proof) ((10^611+1)*((10^1222+10^611)*(10^611+10^306+3)+10^306+2)-1)/387436879171048830775285680943473572634153494526910757938451190135073369288002715153793926339132153380485015065917495589607338001514036961976831476575719381424349889685609559196401568752233509671466521/((10^47+1)*((10^94+10^47)*(10^47+10^24+3)+10^24+2)-1) is Fermat and Lucas PRP! (0.2144s+0.0006s)
# ECM B1=11e6, sigma=8822993252285549
n=33596: c16250(1165842454......) = 1781658338572350764089 * c16228(6543580376......)
# P-1 B1=120e6
n=33600: c7627(1449337705......) = 10731965728151082958206342403201 * c7596(1350486706......)
# P-1 B1=120e6
n=100783: c99611(1582155507......) = 331889208058268916326599 * c99587(4767119474......)
# P-1 B1=50e6
n=100791: c67147(3658070940......) = 24191352192673093987729 * x67125(1512139921......)
# P-1 B1=50e6
n=100791: x67125(1512139921......) = 3841788067001993876963773175947 * c67094(3936031595......)
# P-1 B1=50e6
n=100793: c73921(1000000000......) = 44946200447096292037 * c73901(2224882170......)
# P-1 B1=50e6
n=100797: c67170(1276757645......) = 3798995746797623809 * c67151(3360776718......)
# P-1 B1=50e6
n=100803: c67184(4380817710......) = 774528427854324681075679 * c67160(5656109644......)
# P-1 B1=50e6
Largest known factors that appear after the previous one 1 n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017) 2 n=730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371 (NFS@Home / Jul 26, 2024) 3 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) 4 n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020) 5 n=1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901 (NFS@Home / Mar 17, 2024) 6 n=1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761 (NFS@Home / Mar 13, 2024) 7 n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013) 8 n=2100L: 193751542953818383623751007971508697187648569310897340384149680038864694209730259117193071430058513601 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse and Kurt Beschorner / Jan 7, 2026) 9 n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016) 10 n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017) 11 n=2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 (George Bradshaw / Feb 19, 2023) 12 n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018) 13 n=12220M: 113623897643786632271953538007199774915605819798424201 (Kurt Beschorner / Mar 26, 2026) 14 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) 15 n=14751: 57981820456749752814001725860268405361538431 (Kurt Beschorner / Apr 25, 2025) 16 n=18456: 9886770903035092853593001371393030769919121 (Torbjörn Granlund / Nov 18, 2024) 17 n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018) 18 n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018) 19 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) 20 n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017) 21 n=253620L: 1221015147166230558535777472152845661 (Alfred Reich / Oct 23, 2023) 22 n=268140L: 60348364918187687874129722715181 (Alfred Reich / Oct 23, 2023) 23 n=283706: 526153303629299051259344033783 (Alfred Reich / Oct 23, 2023) 24 n=295980M: 98690902056965040529354491601 (Alfred Reich / Oct 23, 2023) 25 n=298740L: 66173162995033300571567659861 (Alfred Reich / Oct 23, 2023) 26 n=299420L: 33569847171752615806052144021 (Alfred Reich / Oct 23, 2023) 27 n=299996: 38693214591429090355181 (Alfred Reich / Oct 23, 2023) 28 n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021) 29 n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019)
# via Kurt Beschorner
n=55501: c55501(1111111111......) = 179415236655977957794788948197 * c55471(6192958479......)
# ECM B1=1e6, sigma=5233838991530363
n=55711: c55711(1111111111......) = 7522611654359330152177025762203 * c55680(1477028407......)
# ECM B1=1e6, sigma=8623120497894503
n=55903: c55903(1111111111......) = 822851426479938611856478390887246713041 * c55864(1350318022......)
# ECM B1=1e6, sigma=0:7070923126811028
n=60953: c60953(1111111111......) = 3261986070109840155482956601 * c60925(3406241128......)
# ECM B1=1e6, sigma=0:3584930978989392
n=10129: c8676(9000000900......) = 137061543265544510246023119936431 * c8644(6566393961......)
# ECM B1=1e6, sigma=4303296904464307
n=12137: c11826(4298660360......) = 2884688153237612712857957185605924010885591 * c11784(1490164666......)
# ECM B1=1e6, sigma=2853933179712878
n=12151: c11625(5269281030......) = 483321115435084391260670290302391 * c11593(1090223634......)
# ECM B1=1e6, sigma=2568376364319099
n=12164: c6023(6180152905......) = 4840944858681522210038482753561 * c5993(1276641871......)
# ECM B1=1e6, sigma=2346920958243026
n=100759: c94808(4716053073......) = 709330912817945237 * c94790(6648593749......)
# P-1 B1=50e6
n=100764: c33465(6184029574......) = 38365949444237829541 * c33446(1611853652......)
# P-1 B1=100e6
n=100776: c27639(2470620851......) = 2941449484017304830961 * c27617(8399331230......)
# P-1 B1=120e6
n=100781: c97500(9000000000......) = 177686681293963751808723812849 * c97471(5065095444......)
# P-1 B1=50e6