-- Jul 26, 2024 (NFS@Home) -- n=730: c289(1099989000......) = 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371 * p148(5248855003......) # SNFS # https://pastebin.com/KCj7AkBN # 1270 of 300000 Phi_n(10) factorizations were finished. # ----------------8<----------------8<----------------8<---------------- # 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=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018) # 15 n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018) # 16 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) # 17 n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017) # 18 n=253620L: 1221015147166230558535777472152845661 (Alfred Reich / Oct 23, 2023) # 19 n=268140L: 60348364918187687874129722715181 (Alfred Reich / Oct 23, 2023) # 20 n=283706: 526153303629299051259344033783 (Alfred Reich / Oct 23, 2023) # 21 n=295980M: 98690902056965040529354491601 (Alfred Reich / Oct 23, 2023) # 22 n=298740L: 66173162995033300571567659861 (Alfred Reich / Oct 23, 2023) # 23 n=299420L: 33569847171752615806052144021 (Alfred Reich / Oct 23, 2023) # 24 n=299996: 38693214591429090355181 (Alfred Reich / Oct 23, 2023) # 25 n=299999: 246755644878443 (Makoto Kamada / Oct 23, 2021) # 26 n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019) # ----------------8<----------------8<----------------8<---------------- -- Jul 21, 2024 (Alfred Eichhorn) -- # via Kurt Beschorner n=13613: c13613(1111111111......) = 15262282368599483015998894649 * c13584(7280111088......) # 213262 of 300000 Phi_n(10) factorizations were cracked. # 20060 of 25997 R_prime factorizations were cracked. -- Jul 21, 2024 (Kurt Beschorner) -- n=13733: c13219(1203852821......) = 11066901234321643251415990246667 * c13188(1087795757......) # P-1 B1=150e6 n=13739: c12476(3275228356......) = 815051569821918488835533038711 * c12446(4018430830......) # P-1 B1=150e6 n=13751: c13746(1346687082......) = 30084129960755867761834373333372723 * c13711(4476403619......) # P-1 B1=150e6 n=13756: c6438(4372587214......) = 3070906950345823080010940982444870941 * c6402(1423874863......) # P-1 B1=400e6 n=13769: c11749(2029575560......) = 238899466227509549998368631 * c11722(8495521538......) # P-1 B1=175e6 n=100187: c94896(9000000000......) = 4212448211184003403 * c94878(2136524782......) # P-1 B1=23e6 n=154459: c154438(6418788340......) = 654674838797941477 * c154420(9804544118......) n=154897: c154887(4670068686......) = 288575490359805653 * c154870(1618317855......) n=154981: c154934(3005451454......) = 659143481425129271 * x154916(4559631611......) n=154981: x154916(4559631611......) = 725117156196649187 * c154898(6288130921......) n=155017: c155003(7590320680......) = 1537923485747759557 * c154985(4935434533......) n=155137: c155128(2725315207......) = 6213654742199632163 * c155109(4386010039......) # gr-mfaktc -- Jul 16, 2024 (Alfred Eichhorn) -- # via Kurt Beschorner n=13523: c13523(1111111111......) = 13387751970993012362901079637 * c13494(8299459935......) n=20411: c20411(1111111111......) = 8856502355660511775523407391 * c20383(1254571010......) n=20431: c20431(1111111111......) = 18699538092936415160078201691271 * c20399(5941917418......) n=20483: c20483(1111111111......) = 41932266046649700904863383587 * c20454(2649775974......) n=20641: c20641(1111111111......) = 84562062985268488366611846511 * c20612(1313959323......) n=20717: c20717(1111111111......) = 466634734466535006245712555307 * c20687(2381115311......) # 213260 of 300000 Phi_n(10) factorizations were cracked. # 20059 of 25997 R_prime factorizations were cracked. -- Jul 16, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=731: c672(9000000000......) = 1847429475936181681973479760912708743358821710551 * c624(4871633865......) # ECM B1=11e6, sigma=1:3939899409 -- Jul 14, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=3900M: c425(1140714546......) = 44612114135261049915172448202991314405938701 * c381(2556961419......) # ECM B1=11e6, sigma=1:2348484157 -- Jul 13, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=1556: c695(6478708033......) = 1355157068675915381446032476103133130496209 * c653(4780780164......) # ECM B1=11e6, sigma=1:3330891095 -- Jul 12, 2024 (-) -- # via factordb.com n=100258: c50128(9090909090......) = 56884501175241787328321489 * c50103(1598134624......) n=14786: c7375(7268465473......) = 867612396373648464246420784627133 * c7342(8377549126......) n=18058: c9002(4251657214......) = 113148695306414845935894609379 * c8973(3757583950......) -- Jul 11, 2024 (Kurt Beschorner) -- n=1525: c1176(2020600385......) = 315847098431407555514016207329179201 * c1140(6397400498......) # P-1 B1=200e6 n=13721: c13715(6748198399......) = 1864073211647238592948736905104361 * c13682(3620135924......) # P-1 B1=150e6 n=33395: c26712(9000090000......) = 1523915962744198013287961 * c26688(5905896532......) # P-1 B1=23e6 n=100175: c80104(7304797863......) = 290759670245407201 * c80087(2512314674......) # P-1 B1=23e6 n=153701: c153694(1721200405......) = 1440092232895724267 * c153676(1195201506......) n=154211: c154200(9139397284......) = 17523178529846097809 * c154181(5215604731......) # gr-mfaktc -- Jul 12, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=1408: c560(7245878662......) = 106110538711611081989682173453117312268289 * c519(6828613585......) # ECM B1=11e6, sigma=1:423379121 -- Jul 8, 2024 (NFS@Home) -- n=365: c288(9000090000......) = 1304946319836672523549871511207656785231498701576036930724645238399101906921 * c213(6896904389......) n=365: c213(6896904389......) = 5528825275894858698684129584828307231241005568273768148118728392440732070424671 * p135(1247444808......) # SNFS # https://pastebin.com/wHVU5d6E -- Jul 7, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=3740M: c596(9296207155......) = 813728620031462038871992677376718544646779541 * c552(1142421063......) # ECM B1=11e6, sigma=1:2213254673 -- Jul 5, 2024 (-) -- # via factordb.com n=18362: c9143(2326577757......) = 3771564120575675046206726323954998601 * c9106(6168734463......) n=94047: c56672(9009009009......) = 50115627401139043 * c56656(1797644662......) -- Jul 4, 2024 (Kurt Beschorner) -- n=7599: c4726(6493658085......) = 4944885332403182509417069471681 * c4696(1313207010......) # ECM B1=1e6, sigma=3792909555228110 n=13664: c5716(2510048352......) = 17782554637005831866125656641 * c5688(1411522924......) # P-1 B1=450e6 n=13667: c13393(7095654840......) = 5032044810625021177332187 * c13369(1410093730......) # P-1 B1=158e6 n=100172: c49278(4575509683......) = 340257492271303914975039056389 * c49249(1344719745......) # P-1 B1=55e6 n=153077: c153069(2629895281......) = 116991563943187237 * c153052(2247935827......) n=153277: c153255(8931256324......) = 283051850735220719 * c153238(3155342846......) # gr-mfaktc n=13687: c13674(9498719716......) = 3352869000001257408071704371187 * c13644(2833012478......) # P-1 B1=150e6 n=13692: c3850(3243141911......) = 448790289019202435089828835874995221 * c3814(7226408392......) # P-1 B1=550e6 -- Jul 4, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=1538: c738(2894884257......) = 9287243504302734314292246493018665305411 * c698(3117054329......) # ECM B1=11e6, sigma=1:2599237159 -- Jul 4, 2024 (-) -- # via factordb.com n=18806: c9385(1847212503......) = 30412931721096660376594373482891 * c9353(6073773222......) n=18866: c9420(2231079985......) = 7557408631267840612576790423 * c9392(2952175930......) n=5426: c2672(8643610092......) = 421794296629383911904809584049 * c2643(2049247740......) n=5878: c2914(1741663515......) = 1293862103310971228813269265251889 * c2881(1346096705......) n=3646: c1746(3661547089......) = 7249609412129031102349676213675320028207 * c1706(5050681879......) n=77845: c62272(9000090000......) = 4281682880868871 * x62257(2101998268......) n=77845: x62257(2101998268......) = 40972417447160171883151 * c62234(5130276413......) n=19538: c9748(7839711827......) = 34018037025084662281544368202477 * c9717(2304575017......) n=15634: c7790(4072098582......) = 2089788700338695252851492207597 * c7760(1948569528......) n=9806: c4892(1617183274......) = 6856501055738088117609720236405115757649 * c4852(2358613032......) n=19622: c9776(2610585477......) = 1722456614719851036607632979 * c9749(1515617551......) n=19658: c9812(2938017207......) = 21297469295981262524041307647 * c9784(1379514705......) n=9874: c4911(1017314167......) = 116769305954826569316770086211501521 * c4875(8712171052......) n=8026: c3978(6750354369......) = 11092134801718675055606994656545513411 * c3941(6085712525......) n=9034: c4516(9090909090......) = 2112314427024188715300943526715275533 * c4480(4303766984......) n=13726: c6811(1434262299......) = 195439561003769365976357936936896907327 * c6772(7338648798......) n=16634: c8280(3989890381......) = 48817013199838037734830389771 * c8251(8173155462......) n=17246: c8617(3514196122......) = 346508459938772540808732991571 * c8588(1014173253......) n=12346: c6156(1454527001......) = 15280468370799997980886593287957 * c6124(9518863990......) n=17846: c8916(3562297766......) = 69645704899429828211962583 * c8890(5114885076......) n=17998: c8963(7409430630......) = 2213311721782956279418020661310851 * c8930(3347667008......) -- Jul 4, 2024 (philwire) -- # via yoyo@home n=639: c365(8938330346......) = 108404283009093688449943940269189804724790189486660307 * c312(8245366417......) # ECM B1=2900000000, sigma=10714174124914808047 -- Jul 4, 2024 (Torbjorn Granlund) -- # via Kurt Beschorner n=1484: c584(8816140307......) = 12934325238528583194928423610286679740731789 * c541(6816080580......) # ECM B1=11e6, sigma=1:85680977 n=1654: c807(2881508311......) = 2014736089669888940425352477546278092192268265858033129 * c753(1430216258......) # ECM B1=11e6, sigma=1:1681499511 -- Jul 2, 2024 (-) -- # via factordb.com n=18362: c9180(9090909090......) = 39074168326550124979918255386162806779 * c9143(2326577757......)