-- Jun 24, 2020 (Kurt Beschorner) -- n=9135: c4024(1685931086......) = 11344306940218749065447446471 * c3996(1486147276......) # B1=3e6, sigma=6758203416202594 -- Jun 22, 2020 (Alfred Eichhorn) -- # via Kurt Beschorner n=32957: c32957(1111111111......) = 3034964556511025727319 * c32935(3661034883......) # ECM B1=5e4, sigma=6759563567141852 n=54311: c54311(1111111111......) = 99226280343250370040079 * c54288(1119775030......) # ECM B1=5e4, sigma=5492623138501617 n=90947: c90947(1111111111......) = 4836116397715960105187489 * c90922(2297527643......) # ECM B1=5e4, sigma=6875843154026388 # 201116 of 300000 Phi_n(10) factorizations were cracked. # 18792 of 25997 R_prime factorizations were cracked. -- Jun 16, 2020 (Kurt Beschorner) -- n=299947: x289576(9000000000......) = 4179348094038241 * c289561(2153445895......) # ECM B1=5e4, sigma=7664573366871508 # 201113 of 300000 Phi_n(10) factorizations were cracked. # ----------------8<----------------8<----------------8<---------------- # Largest known factors that appear after the previous one # 1 n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017) # 2 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) # 3 n=816: 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 (Yousuke Koide / Apr 5, 2020) # 4 n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013) # 5 n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016) # 6 n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017) # 7 n=2820M: 832530561417330269513686172453574642103980456844602894975421 (Eric_ch / Aug 23, 2016) # 8 n=5900M: 593243597135622945022444401922545308692618865123732027101 (pi / Sep 17, 2018) # 9 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) # 10 n=103748: 1941549624124837091592820526305327246593529 (Makoto Kamada / Jun 18, 2018) # 11 n=112666: 356334694333381082120764457775238849699 (Makoto Kamada / Oct 17, 2018) # 12 n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015) # 13 n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017) # 14 n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015) # 15 n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015) # 16 n=217319: 327136068049348903751880841 (Alfred Reich / Feb 18, 2019) # 17 n=299011: 221045463366486747587120747 (Alfred Reich / Feb 18, 2019) # 18 n=299807: 1096020580210100960507 (Alfred Reich / Feb 18, 2019) # 19 n=299912: 4280532734261684449 (Kurt Beschorner / Apr 16, 2020) # 20 n=299941: 476143900733778479 (Alfred Reich / Feb 18, 2019) # 21 n=299947: 4179348094038241 (Kurt Beschorner / Jun 16, 2020) # 22 n=299959: 5119084696133 (Makoto Kamada / Feb 18, 2019) # 23 n=299974: 4468934658761 (Makoto Kamada / Feb 18, 2019) # 24 n=299997: 4358711612449 (Makoto Kamada / Feb 18, 2019) # 25 n=300000: 47847600001 (Makoto Kamada / Feb 15, 2019) # ----------------8<----------------8<----------------8<---------------- -- Jun 16, 2020 (Alfred Eichhorn) -- # via Kurt Beschorner n=32887: c32887(1111111111......) = 214754296621034269611689 * c32863(5173871389......) # ECM B1=5e4, sigma=5776684445425926 # 201112 of 300000 Phi_n(10) factorizations were cracked. # 18789 of 25997 R_prime factorizations were cracked. -- Jun 11, 2020 (Kurt Beschorner) -- n=9129: c5686(2666418183......) = 58716953887634579999893 * c5663(4541138473......) # ECM B1=3e6, sigma=581214424774345 -- Jun 8, 2020 (Alfred Eichhorn) -- # via Kurt Beschorner n=32603: c32603(1111111111......) = 45903897617432364294119 * c32580(2420515835......) # ECM B1=5e4, sigma=3075270328928611 n=53917: c53917(1111111111......) = 294269401779639493852213 * c53893(3775829577......) # ECM B1=5e4, sigma=5866403170814528 n=90619: c90619(1111111111......) = 2345630318122074716729 * c90597(4736940439......) # ECM B1=5e4, sigma=7480871379203208 # 201111 of 300000 Phi_n(10) factorizations were cracked. # 18788 of 25997 R_prime factorizations were cracked.