-- May 29, 2012 (Serge Batalov) -- n=86730: c19481(5736336435......) = 17136994490850571 * x19465(3347341004......) n=86730: x19465(3347341004......) = 1775391682814775481 * c19447(1885409871......) # ECM B1=250000, sigma=1998175756 n=93240: c20710(1249307599......) = 687095923689403201 * c20692(1818243358......) # ECM B1=250000, sigma=1645907133 n=95760: c20737(1000000000......) = 4551328609751740321 * c20718(2197160622......) # ECM B1=50000, sigma=1066720048 n=92400: c19193(2775002697......) = 309714855822810530401 * c19172(8959863067......) # ECM B1=50000, sigma=1812782883 # 74539 of 100000 Phi_n(10) factorizations were cracked. -- May 28, 2012 (Kurt Beschorner) -- n=12483: c7771(5011795983......) = 52635083069644093 * x7754(9521778424......) n=12483: x7754(9521778424......) = 58937480054572184173 * x7735(1615572707......) # ECM B1=5e4, sigma=738112912 n=12483: x7735(1615572707......) = 512430196619955358369 * c7714(3152766403......) # ECM B1=5e4, sigma=3468265344 -- May 28, 2012 (NFS@Home) -- n=610: c210(4494548076......) = 455137305294745983623339076793154863893252334886652646220893202880060879281 * p135(9875147617......) # snfs # https://escatter11.fullerton.edu/nfs/forum_thread.php?id=345 # https://www.mersenneforum.org/showthread.php?p=300481#post300481 # 1048 of 100000 Phi_n(10) factorizations were finished. -- May 28, 2012 (Serge Batalov) -- n=87570: c19873(1000999998......) = 533075461961491 * c19858(1877782922......) # ECM B1=50000, sigma=442692534 n=89880: c20353(1000099999......) = 13349069996641 * c20339(7491907677......) # ECM B1=50000, sigma=33769368 n=87990: c20065(1098890000......) = 1044381625794566721296373481 * c20038(1052192008......) # P-1 n=90930: c20737(1098890000......) = 16989302223243919801 * c20717(6468129094......) # P-1 n=87570: c19858(1877782922......) = 83133562286881 * c19844(2258754311......) # ECM B1=50000, sigma=3562323438 n=95550: c20130(1419522811......) = 690587217078343271068201 * c20106(2055530099......) # ECM B1=50000, sigma=4012697312 n=88830: c19854(5271471562......) = 67399034715811 * c19840(7821286439......) # ECM B1=50000, sigma=2664908171 n=89670: c20154(7434663072......) = 7093204406823842161 * c20136(1048138844......) # ECM B1=250000, sigma=2302870531 n=91770: c18978(1820104571......) = 17835226313412721265851 * c18956(1020511060......) # ECM B1=250000, sigma=2401925587 n=91560: c20730(6826802897......) = 227633770613761 * c20716(2999029045......) # P-1 # 74538 of 100000 Phi_n(10) factorizations were cracked. -- May 26, 2012 (Kurt Beschorner) -- n=2923: c2804(3078923061......) = 70214172593300381289706186013 * c2775(4385044995......) # ECM B1=1e6, sigma=948909098 n=2939: c2906(6195233127......) = 6444879122514749266530495806867 * c2875(9612644410......) # ECM B1=1e6, sigma=974712643 n=2941: c2731(7353374669......) = 8252809180417323588936656933 * c2703(8910147452......) # ECM B1=1e6, sigma=608431441 n=2951: c2678(2394418933......) = 1793392925247754151225772956256169 * c2645(1335133478......) # ECM B1=1e6, sigma=3954214399 n=14860L: c2968(3576409999......) = 2488780743440597032917202389845101 * c2935(1437012886......) # ECM B1=1e6, sigma=2032575349 -- May 25, 2012 (Kurt Beschorner) -- n=12481: c10644(2169609165......) = 39038402888210018306501041 * c10618(5557627887......) # ECM B1=5e4, sigma=2377774481 n=1068: c349(9448072871......) = 833845535443385228657693694666672878355349 * c308(1133072310......) # ECM B1=11e7, sigma=3174974279 # The ratio of factored part of (38*10^7476-47)/9-1 was raised from 20.63% to 21.19%. # The ratio of factored part of 7*10^6409-69-1 was raised from 22.53% to 23.18%. n=14780M: c2902(7901003041......) = 36990644071321356338684921501 * c2874(2135946329......) # ECM B1=1e6, sigma=3683116053 -- May 25, 2012 (Serge Batalov) -- n=99888: c33256(2285938561......) = 507158594659660735799020236772273 * c33223(4507344616......) # ECM B1=1000000, B2=200000000, sigma=8564762573105149 # 507158594659660735799020236772273 is the largest known factor that appears after n=86452. # ----------------8<----------------8<----------------8<---------------- # Largest known factors that appear after the previous one # 1 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) # 2 n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012) # 3 n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007) # 4 n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012) # 5 n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010) # 6 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) # 7 n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010) # 8 n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012) # 9 n=99888: 507158594659660735799020236772273 (Serge Batalov / May 25, 2012) # 10 n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012) # 11 n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011) # ----------------8<----------------8<----------------8<---------------- -- May 24, 2012 (Serge Batalov) -- n=99890: c34209(1648529901......) = 11921759476470866184961 * c34187(1382790773......) # ECM B1=1000000, B2=200000000, sigma=36914556285894 -- May 23, 2012 (Serge Batalov) -- n=33302: c16643(6120714331......) = 698228845382512022138407 * x16619(8766057678......) # ECM B1=1000000, B2=200000000, sigma=7883209601122390 n=33302: x16619(8766057678......) = 78702953844147827872969 * c16597(1113815587......) # ECM B1=1000000, B2=200000000, sigma=350103480874809 -- May 16, 2012 (Serge Batalov) -- n=33326: c15758(2912997458......) = 20446761567925431493 * x15739(1424674244......) # ECM B1=1000000, B2=200000000, sigma=5376208582445300 n=33326: x15739(1424674244......) = 12301421739006195507253 * c15717(1158137876......) # ECM B1=1000000, B2=200000000, sigma=1220026326005701 n=99964: c49105(1009999999......) = 631238272453319833476562669 * c49078(1600029725......) # ECM B1=1000000, B2=200000000, sigma=6324107506428490 # 631238272453319833476562669 is the largest known factor that appears after n=99380M. # ----------------8<----------------8<----------------8<---------------- # Largest known factors that appear after the previous one # 1 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) # 2 n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012) # 3 n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007) # 4 n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012) # 5 n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010) # 6 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) # 7 n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010) # 8 n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012) # 9 n=96769: 232405044211150158012128920618163 (Serge Batalov / Jun 2, 2011) # 10 n=98345: 31476775338259256593745673622081 (Serge Batalov / Jun 2, 2011) # 11 n=99220L: 30847430620382008736997413844941 (Alfred Reich / Dec 19, 2010) # 12 n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010) # 13 n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012) # 14 n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011) # ----------------8<----------------8<----------------8<---------------- -- May 15, 2012 (M.Yamaga) -- # via yoyo@home n=1059: c642(8840498010......) = 18845059790305644506208462756813674936893 * c602(4691148825......) # ECM B1=110000000, sigma=2302692400 -- May 11, 2012 (Serge Batalov) -- n=5766: c1836(3308332527......) = 104274315198051542548629408277973929 * c1801(3172720454......) # ECM B1=1000000, sigma=3247336838 -- May 9, 2012 (Serge Batalov) -- n=5882: c2748(3740097242......) = 4568004545617286874649621164767 * c2717(8187595273......) # ECM B1=500000, B2=100000000, sigma=2603053401920451 -- May 8, 2012 (Serge Batalov) -- n=3376: c1658(5617475722......) = 4141680318531350547940014932753 * c1628(1356327695......) # ECM B1=3000000, B2=1000000000, sigma=4632880701531239 n=3602: c1769(3284551520......) = 337404209535185765240396972124803971 * c1733(9734767460......) -- May 7, 2012 (Serge Batalov) -- n=3448: c1708(5836488555......) = 334604559375674569265038978541053577 * c1673(1744294389......) # ECM B1=500000, B2=100000000 sigma=8011728369711297 -- May 7, 2012 (Maksym Voznyy) -- n=61681: c61681(1111111111......) = 139216722293995279 * c61663(7981161262......) # mfaktc-repunit n=61613: c61613(1111111111......) = 36661858208748427 * c61596(3030700475......) # mfaktc-repunit n=60353: c60353(1111111111......) = 49937331685150627 * c60336(2225010975......) # mfaktc # 74533 of 100000 Phi_n(10) factorizations were cracked. # 7345 of 9592 R_prime factorizations were cracked. -- May 6, 2012 (Serge Batalov) -- n=99820M: c15840(3572835377......) = 35301326489630513685208921 * c15815(1012096635......) # ECM B1=1000000, sigma=924061245 n=98522: c49260(9090909090......) = 1736420748464826317144321167099 * c49230(5235429891......) # ECM B1=250000, B2=80000000, sigma=2860317445917742 # 74530 of 100000 Phi_n(10) factorizations were cracked. n=99874: c49906(1482507629......) = 441220927667792572801 * c49885(3360012041......) n=99870: c26612(9444978746......) = 39431583007184181489702241 * c26587(2395282670......) # 39431583007184181489702241 is the largest known factor that appears after n=99380M. # ----------------8<----------------8<----------------8<---------------- # Largest known factors that appear after the previous one # 1 n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009) # 2 n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012) # 3 n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007) # 4 n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012) # 5 n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010) # 6 n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011) # 7 n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010) # 8 n=86452: 570418256605571430441854761295221 (Maksym Voznyy / Apr 27, 2012) # 9 n=96769: 232405044211150158012128920618163 (Serge Batalov / Jun 2, 2011) # 10 n=98345: 31476775338259256593745673622081 (Serge Batalov / Jun 2, 2011) # 11 n=99220L: 30847430620382008736997413844941 (Alfred Reich / Dec 19, 2010) # 12 n=99380M: 6592290434322258947071767721 (Alfred Reich / Apr 26, 2010) # 13 n=99870: 39431583007184181489702241 (Serge Batalov / May 6, 2012) # 14 n=99874: 20466106492496275108462693 (Alfred Reich / Mar 29, 2010) # 15 n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011) # ----------------8<----------------8<----------------8<---------------- n=99878: c49924(4737628956......) = 13586873150252863 * c49908(3486916308......) n=99914: c49951(3032901215......) = 98327021757497653942607 * c49928(3084504301......) -- May 5, 2012 (Serge Batalov) -- n=99850: c39912(3492023238......) = 3466896815416536624401 * c39891(1007247525......) # ECM B1=250000, B2=80000000, sigma=8749721233680630 n=19974: c6637(1381890426......) = 71354110816262539 * c6620(1936665470......) # ECM B1=250000 n=33310: c13294(4859306436......) = 33961028965749922481 * c13275(1430847823......) # ECM B1=250000 n=99872: c49920(9999999999......) = 15031176835009 * c49907(6652839035......) # ECM B1=250000 n=99890: c34224(9091000909......) = 5514610868117891 * c34209(1648529901......) # ECM B1=250000 # 74529 of 100000 Phi_n(10) factorizations were cracked. -- May 4, 2012 (Serge Batalov) -- n=99514: c49704(2151758023......) = 773419733239989432211 * c49683(2782134888......) # ECM B1=250000, B2=80000000, sigma=7320072486933804 n=99574: c49764(3698676264......) = 1627398746517684253 * c49746(2272753541......) # ECM B1=250000, B2=80000000, sigma=6769561162947175 n=33312: c11060(1485359879......) = 1840675312648142493793 * c11038(8069646339......) # ECM B1=250000, B2=80000000, sigma=5170465590171823 -- May 3, 2012 (Serge Batalov) -- n=99998: c49976(7883878168......) = 923151458098665458093 * c49955(8540178428......) # ECM B1=250000, B2=80000000, sigma=2028802673397890 -- May 1, 2012 (Serge Batalov) -- n=99986: c49992(9090909090......) = 9781001521190781949019 * c49970(9294456269......) # ECM B1=250000, B2=80000000, sigma=663857642663700 n=99266: c49632(9090909090......) = 2987064748903163451463 * c49611(3043425521......) # ECM B1=250000, B2=80000000, sigma=6586319993065266 n=99662: c49830(9090909090......) = 87947226275228318643011 * c49808(1033677749......) # ECM B1=250000, B2=80000000, sigma=2025756039529617 # 74527 of 100000 Phi_n(10) factorizations were cracked.