- Last update: Feb 25, 2021 - Found by Kurt Beschorner Feb 24, 2021 n=100023: 476278158633764719; *** Prime95 *** the factor 476278158633764719 already divides n=33341; Feb 24, 2021 n=211007: 16108072373966534359; gr-mfaktc Feb 24, 2021 n=211039: 121358142140355173; gr-mfaktc Feb 24, 2021 n=211039: 568243849419069917; gr-mfaktc Feb 24, 2021 n=211051: 4515755453965056043; gr-mfaktc Feb 24, 2021 n=211151: 6162081300878026519; gr-mfaktc Feb 24, 2021 n=211153: 3668324944244154347; gr-mfaktc Feb 24, 2021 n=211199: 313896846525745009; gr-mfaktc Feb 24, 2021 n=211217: 5477131534499966797; gr-mfaktc Feb 24, 2021 n=211241: 2568458580598604671; gr-mfaktc Feb 24, 2021 n=211271: 793229446948073413; gr-mfaktc Feb 24, 2021 n=211283: 81848684329912037; gr-mfaktc Feb 24, 2021 n=211349: 6189509756660822797; gr-mfaktc Feb 24, 2021 n=211711: 1336912743372801877; gr-mfaktc Feb 24, 2021 n=211741: 2241427174247365999; gr-mfaktc Feb 24, 2021 n=211747: 134457860930495077; gr-mfaktc Feb 24, 2021 n=211789: 75078663858018773; gr-mfaktc Feb 24, 2021 n=211949: 136224213331104083; gr-mfaktc Feb 24, 2021 n=212243: 82633507966860679; gr-mfaktc Feb 24, 2021 n=212243: 125531464465765159; gr-mfaktc Feb 24, 2021 n=212243: 4070069162918934431; gr-mfaktc - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Feb 22, 2021 R1740M, c204, GNFS: the R1740M-polynom was created by Maksym Voznyy - thanks! 575M unique r. relations and 569M unique ideals are collected currently progress ~ 79%:- Found by Kurt Beschorner Feb 18, 2021 n= 33338: 26473748122148971459 * 4155059551......c16361; Prime95: B1 = 25e4; sigma = 3721822416092411 Feb 18, 2021 n=100006: 131222263455836422852729 * 3208425163......c48316; Prime95: B1 = 25e4; sigma = 877451076478088 Feb 18, 2021 n=100008: 9738110213269872780083329; ecm: B1 = 25e4; sigma = 0:921283191225905 Feb 18, 2021 n=210019: 294916672661938277; gr-mfaktc Feb 18, 2021 n=210139: 8016608178255878321; gr-mfaktc Feb 18, 2021 n=210359: 15449896569520745963; gr-mfaktc Feb 18, 2021 n=210527: 772445233470428801; gr-mfaktc Feb 18, 2021 n=210907: 10480618899828921959; gr-mfaktc Feb 18, 2021 n=210961: 720606730320035333; gr-mfaktc Feb 18, 2021 n=210967: 263914086493298321; gr-mfaktc - Found by Alfred Eichhorn Feb 16, 2021 n =58061: 18335318772409337757493627 * 6059949788......c58035; ecm: B1 = 5e4; sigma = 4013194110374496 - Found by Kurt Beschorner Feb 16, 2021 n=100006: 2612722267775432776127 * 4210168120......c48339; Prime95: B1 = 25e4; sigma = 7608191250630293 - Found by Kurt Beschorner Feb 14, 2021 n= 33336: 22042581445471559199892849 * 4536673721......c11063; Prime95: B1 = 25e4; sigma = 7347693031613523 Feb 14, 2021 n=100010: 965284744298317833425641 * 9417946418......c39144; Prime95: B1 = 25e4; sigma = 6551488655318284 Feb 12, 2021 n=209159: 888021648309639997; gr-mfaktc Feb 12, 2021 n=209159: 16623336404661687397; gr-mfaktc Feb 12, 2021 n=209179: 163898236396451957; gr-mfaktc Feb 12, 2021 n=209201: 771437127303892639; gr-mfaktc Feb 12, 2021 n=209203: 180541517625732401; gr-mfaktc Feb 12, 2021 n=209221: 112226960612965201; gr-mfaktc Feb 12, 2021 n=209327: 862829763363950231; gr-mfaktc Feb 12, 2021 n=209327: 12699757409513151797; gr-mfaktc Feb 12, 2021 n=209333: 10172016574957747919; gr-mfaktc Feb 12, 2021 n=209359: 1028815126908555551; gr-mfaktc Feb 12, 2021 n=209581: 5763046466684554711; gr-mfaktc Feb 12, 2021 n=209639: 1439523219535157453; gr-mfaktc Feb 12, 2021 n=209719: 3593099583152560841; gr-mfaktc Feb 12, 2021 n=209813: 862241078720870551; gr-mfaktc Feb 12, 2021 n=209927: 73711706016489757; gr-mfaktc - Found by Kurt Beschorner Feb 12, 2021 n = 9195: 1173448688481308662374054052561474321 * 3157195790......c4843; ecm: B1 = 3e6; sigma = 0:7903519068507975 Feb 12, 2021 n=208073: 14619836660172008077; gr-mfaktc Feb 12, 2021 n=208111: 869815057569817519; gr-mfaktc Feb 12, 2021 n=208121: 471359071806866027; gr-mfaktc Feb 12, 2021 n=208139: 4105148666725434281; gr-mfaktc Feb 12, 2021 n=208189: 7093548360628134199; gr-mfaktc Feb 12, 2021 n=208261: 4052616912912693523; gr-mfaktc Feb 12, 2021 n=208333: 334840900879534733; gr-mfaktc Feb 12, 2021 n=208333: 17325990117149791289; gr-mfaktc Feb 12, 2021 n=208387: 895711019183972077; gr-mfaktc Feb 12, 2021 n=208391: 1647572036534324911; gr-mfaktc Feb 12, 2021 n=208673: 77762329926030889; gr-mfaktc Feb 12, 2021 n=208759: 125367358623673027; gr-mfaktc Feb 12, 2021 n=208759: 5982544125825102959; gr-mfaktc Feb 12, 2021 n=208787: 1245442087783233773; gr-mfaktc Feb 12, 2021 n=208877: 167648062266201329; gr-mfaktc Feb 12, 2021 n=208933: 462501093922338641; gr-mfaktc Feb 12, 2021 n=208963: 254382442582587203; gr-mfaktc Feb 12, 2021 n=208963: 3905500193522207603; gr-mfaktc Feb 12, 2021 n=208991: 189382937523302587; gr-mfaktc - Found by Kurt Beschorner Feb 07, 2021 n=100013: 20756405381963; Prime95 Feb 07, 2021 n=207029: 85340487306890227; gr-mfaktc Feb 07, 2021 n=207113: 14345060434268942243; gr-mfaktc Feb 07, 2021 n=207113: 338371924185129041; gr-mfaktc Feb 07, 2021 n=207121: 18199167713546327917; gr-mfaktc Feb 07, 2021 n=207127: 1617252563027067557; gr-mfaktc Feb 07, 2021 n=207443: 617427678341411963; gr-mfaktc Feb 07, 2021 n=207469: 1376281698590225107; gr-mfaktc Feb 07, 2021 n=207469: 14034196796617802681; gr-mfaktc Feb 07, 2021 n=207619: 271766125349471293; gr-mfaktc Feb 07, 2021 n=207643: 2495531453724785929; gr-mfaktc Feb 07, 2021 n=207661: 9769522729344615431; gr-mfaktc Feb 07, 2021 n=207673: 3940243632203836757; gr-mfaktc Feb 07, 2021 n=207719: 4921850512579748351; gr-mfaktc Feb 07, 2021 n=207721: 509879330406247987; gr-mfaktc Feb 07, 2021 n=207799: 2468019374229383089; gr-mfaktc Feb 07, 2021 n=207869: 81834606058245883; gr-mfaktc - Found by Kurt Beschorner Feb 03, 2021 n=206009: 820521890639769569; gr-mfaktc Feb 03, 2021 n=206027: 3579130623808573123; gr-mfaktc Feb 03, 2021 n=206033: 487626885155071369; gr-mfaktc Feb 03, 2021 n=206051: 91397149832492923; gr-mfaktc Feb 03, 2021 n=206051: 165482108842006079; gr-mfaktc Feb 03, 2021 n=206123: 358051811128122677; gr-mfaktc Feb 03, 2021 n=206221: 4950897406040809987; gr-mfaktc Feb 03, 2021 n=206251: 979963355383668973; gr-mfaktc Feb 03, 2021 n=206263: 208106614041290311; gr-mfaktc Feb 03, 2021 n=206291: 121676531609502197; gr-mfaktc Feb 03, 2021 n=206347: 967153256083990831; gr-mfaktc Feb 03, 2021 n=206779: 2007572203152034969; gr-mfaktc Feb 03, 2021 n=206783: 471177428449107587; gr-mfaktc Feb 03, 2021 n=206813: 2619075724853479637; gr-mfaktc - Correction false: - Found by Sam Wagstaff Nov 08, 2020 n = 371: nnn... false: - Found by Sam Wagstaff Oct 21, 2020 n = 742: nnn... correct: - Found by NFS@home Nov 08, 2020 n = 371: nnn... correct - Found by NFS@home Oct 21, 2020 n = 742: nnn... find out by Bo Chen - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Jan 30, 2021 n= 337: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 * 2068111096......P102; GNFS the R337-polynom was created by Gimarel and Maksym Voznyy - thanks! Fri Dec 11 13:26:41 2020 Msieve v. 1.53 (SVN unknown) Fri Dec 11 13:26:41 2020 random seeds: e896c2b0 7e95bc67 Fri Dec 11 13:26:41 2020 factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits) Fri Dec 11 13:26:42 2020 searching for 15-digit factors Fri Dec 11 13:26:42 2020 commencing number field sieve (202-digit input) Fri Dec 11 13:26:42 2020 R0: -569723684380800940438196359245718396921 Fri Dec 11 13:26:42 2020 R1: 70657199511226729851381 Fri Dec 11 13:26:42 2020 A0: 103394935622210316241163667133894195533223700664 Fri Dec 11 13:26:42 2020 A1: 2005134862565171054958260583228432033199 Fri Dec 11 13:26:42 2020 A2: -258722981282823408955980872471445 Fri Dec 11 13:26:42 2020 A3: -6736467009189155856979666 Fri Dec 11 13:26:42 2020 A4: 144172045327866816 Fri Dec 11 13:26:42 2020 A5: 1245404160 Fri Dec 11 13:26:42 2020 skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3 Fri Dec 11 13:26:42 2020 Fri Dec 11 13:26:42 2020 commencing relation filtering Fri Dec 11 13:26:42 2020 setting target matrix density to 128.0 Fri Dec 11 13:26:42 2020 estimated available RAM is 130983.0 MB Fri Dec 11 13:26:42 2020 commencing duplicate removal, pass 1 Fri Dec 11 13:27:21 2020 error -6 reading relation 3774114 ... Fri Dec 11 15:26:25 2020 found 99036873 hash collisions in 725476492 relations Fri Dec 11 15:26:58 2020 added 1537 free relations Fri Dec 11 15:26:58 2020 commencing duplicate removal, pass 2 Fri Dec 11 15:36:20 2020 found 46 duplicates and 725477983 unique relations Fri Dec 11 15:36:20 2020 memory use: 4262.0 MB Fri Dec 11 15:36:20 2020 reading ideals above 447938560 Fri Dec 11 15:36:20 2020 commencing singleton removal, initial pass Fri Dec 11 17:25:08 2020 memory use: 11024.0 MB Fri Dec 11 17:25:09 2020 reading all ideals from disk Fri Dec 11 17:25:18 2020 memory use: 13804.5 MB Fri Dec 11 17:26:21 2020 commencing in-memory singleton removal Fri Dec 11 17:27:24 2020 begin with 725477983 relations and 620191752 unique ideals Fri Dec 11 17:46:00 2020 reduce to 486855824 relations and 358905200 ideals in 16 passes Fri Dec 11 17:46:00 2020 max relations containing the same ideal: 65 Fri Dec 11 17:47:00 2020 reading ideals above 720000 ... Sat Dec 12 05:32:11 2020 begin with 150702399 relations and 148372552 unique ideals Sat Dec 12 05:34:58 2020 reduce to 150700111 relations and 147770909 ideals in 5 passes Sat Dec 12 05:34:58 2020 max relations containing the same ideal: 99 Sat Dec 12 05:35:43 2020 relations with 0 large ideals: 8884 Sat Dec 12 05:35:43 2020 relations with 1 large ideals: 28327 Sat Dec 12 05:35:43 2020 relations with 2 large ideals: 433414 Sat Dec 12 05:35:43 2020 relations with 3 large ideals: 3019658 Sat Dec 12 05:35:43 2020 relations with 4 large ideals: 11532541 Sat Dec 12 05:35:43 2020 relations with 5 large ideals: 26697890 Sat Dec 12 05:35:43 2020 relations with 6 large ideals: 39207043 Sat Dec 12 05:35:43 2020 relations with 7+ large ideals: 69772354 Sat Dec 12 05:35:43 2020 commencing 2-way merge Sat Dec 12 05:39:45 2020 reduce to 96081764 relation sets and 93152562 unique ideals Sat Dec 12 05:39:45 2020 commencing full merge Sat Dec 12 06:50:44 2020 memory use: 11345.4 MB Sat Dec 12 06:51:26 2020 found 42677430 cycles, need 42442762 Sat Dec 12 06:51:29 2020 weight of 42442762 cycles is about 5432848814 (128.00/cycle) Sat Dec 12 06:51:29 2020 distribution of cycle lengths: Sat Dec 12 06:51:29 2020 1 relations: 3015888 Sat Dec 12 06:51:29 2020 2 relations: 2956746 Sat Dec 12 06:51:29 2020 3 relations: 3090156 Sat Dec 12 06:51:29 2020 4 relations: 3065324 Sat Dec 12 06:51:29 2020 5 relations: 3095706 Sat Dec 12 06:51:29 2020 6 relations: 3029111 Sat Dec 12 06:51:29 2020 7 relations: 2935338 Sat Dec 12 06:51:29 2020 8 relations: 2817380 Sat Dec 12 06:51:29 2020 9 relations: 2652394 Sat Dec 12 06:51:29 2020 10+ relations: 15784719 Sat Dec 12 06:51:29 2020 heaviest cycle: 28 relations Sat Dec 12 06:57:30 2020 commencing cycle optimization Sat Dec 12 07:00:18 2020 start with 354106957 relations Sat Dec 12 07:32:09 2020 pruned 15064668 relations Sat Dec 12 07:32:10 2020 memory use: 9816.3 MB Sat Dec 12 07:32:10 2020 distribution of cycle lengths: Sat Dec 12 07:32:10 2020 1 relations: 3015888 Sat Dec 12 07:32:10 2020 2 relations: 3038755 Sat Dec 12 07:32:10 2020 3 relations: 3223126 Sat Dec 12 07:32:10 2020 4 relations: 3189941 Sat Dec 12 07:32:10 2020 5 relations: 3239551 Sat Dec 12 07:32:10 2020 6 relations: 3159524 Sat Dec 12 07:32:10 2020 7 relations: 3074374 Sat Dec 12 07:32:10 2020 8 relations: 2935585 Sat Dec 12 07:32:10 2020 9 relations: 2756288 Sat Dec 12 07:32:10 2020 10+ relations: 14809730 Sat Dec 12 07:32:10 2020 heaviest cycle: 28 relations Sat Dec 12 07:40:18 2020 RelProcTime: 65616 Sat Dec 12 07:40:18 2020 elapsed time 18:13:37 Sat Dec 12 08:16:33 2020 Sat Dec 12 08:16:33 2020 Msieve v. 1.53 (SVN unknown) Sat Dec 12 08:16:33 2020 random seeds: b71355cc f0cca437 Sat Dec 12 08:16:33 2020 factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits) Sat Dec 12 08:16:34 2020 searching for 15-digit factors Sat Dec 12 08:16:34 2020 commencing number field sieve (202-digit input) Sat Dec 12 08:16:34 2020 R0: -569723684380800940438196359245718396921 Sat Dec 12 08:16:34 2020 R1: 70657199511226729851381 Sat Dec 12 08:16:34 2020 A0: 103394935622210316241163667133894195533223700664 Sat Dec 12 08:16:35 2020 A1: 2005134862565171054958260583228432033199 Sat Dec 12 08:16:35 2020 A2: -258722981282823408955980872471445 Sat Dec 12 08:16:35 2020 A3: -6736467009189155856979666 Sat Dec 12 08:16:35 2020 A4: 144172045327866816 Sat Dec 12 08:16:35 2020 A5: 1245404160 Sat Dec 12 08:16:35 2020 skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3 Sat Dec 12 08:16:35 2020 Sat Dec 12 08:16:35 2020 commencing linear algebra Sat Dec 12 08:16:43 2020 read 42442762 cycles Sat Dec 12 08:19:11 2020 cycles contain 149148515 unique relations Sat Dec 12 08:37:39 2020 read 149148515 relations Sat Dec 12 08:48:37 2020 using 20 quadratic characters above 4294917295 Sat Dec 12 08:57:28 2020 building initial matrix Sat Dec 12 10:04:57 2020 memory use: 21895.4 MB Sat Dec 12 10:06:08 2020 read 42442762 cycles Sat Dec 12 10:06:29 2020 matrix is 42442585 x 42442762 (21260.1 MB) with weight 6437941974 (151.69/col) Sat Dec 12 10:06:29 2020 sparse part has weight 5063888199 (119.31/col) Sat Dec 12 10:22:43 2020 filtering completed in 2 passes Sat Dec 12 10:23:05 2020 matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col) Sat Dec 12 10:23:05 2020 sparse part has weight 5063866511 (119.32/col) Sat Dec 12 10:30:14 2020 matrix starts at (0, 0) Sat Dec 12 10:30:35 2020 matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col) Sat Dec 12 10:30:35 2020 sparse part has weight 5063866511 (119.32/col) Sat Dec 12 10:30:35 2020 saving the first 48 matrix rows for later Sat Dec 12 10:30:57 2020 matrix includes 64 packed rows Sat Dec 12 10:31:10 2020 matrix is 42440778 x 42441003 (20709.3 MB) with weight 5540968685 (130.56/col) Sat Dec 12 10:31:10 2020 sparse part has weight 5004419177 (117.91/col) Sat Dec 12 10:31:10 2020 using block size 8192 and superblock size 6291456 for processor cache size 65536 kB Sat Dec 12 10:40:03 2020 commencing Lanczos iteration (24 threads) Sat Dec 12 10:40:03 2020 memory use: 17940.5 MB Sat Dec 12 10:46:37 2020 linear algebra at 0.0%, ETA 2906h16m Sat Dec 12 10:47:33 2020 checkpointing every 20000 dimensions ... Sat Jan 30 05:15:45 2021 lanczos halted after 671165 iterations (dim = 42440777) Sat Jan 30 05:16:31 2021 recovered 30 nontrivial dependencies Sat Jan 30 05:17:41 2021 BLanczosTime: 1430963 Sat Jan 30 05:17:41 2021 elapsed time 397:29:24 Sat Jan 30 05:29:02 2021 Sat Jan 30 05:29:02 2021 Sat Jan 30 05:29:02 2021 Msieve v. 1.53 (SVN unknown) Sat Jan 30 05:29:02 2021 random seeds: a8d838ec 22df3765 Sat Jan 30 05:29:02 2021 factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits) Sat Jan 30 05:29:03 2021 searching for 15-digit factors Sat Jan 30 05:29:03 2021 commencing number field sieve (202-digit input) Sat Jan 30 05:29:03 2021 R0: -569723684380800940438196359245718396921 Sat Jan 30 05:29:03 2021 R1: 70657199511226729851381 Sat Jan 30 05:29:03 2021 A0: 103394935622210316241163667133894195533223700664 Sat Jan 30 05:29:03 2021 A1: 2005134862565171054958260583228432033199 Sat Jan 30 05:29:03 2021 A2: -258722981282823408955980872471445 Sat Jan 30 05:29:03 2021 A3: -6736467009189155856979666 Sat Jan 30 05:29:03 2021 A4: 144172045327866816 Sat Jan 30 05:29:03 2021 A5: 1245404160 Sat Jan 30 05:29:03 2021 skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3 Sat Jan 30 05:29:03 2021 Sat Jan 30 05:29:03 2021 commencing square root phase Sat Jan 30 05:29:03 2021 handling dependencies 1 to 64 Sat Jan 30 05:29:03 2021 reading relations for dependency 1 Sat Jan 30 05:29:08 2021 read 21217401 cycles Sat Jan 30 05:29:46 2021 cycles contain 74558334 unique relations Sat Jan 30 05:35:43 2021 read 74558334 relations Sat Jan 30 05:41:04 2021 multiplying 74558334 relations Sat Jan 30 07:50:21 2021 multiply complete, coefficients have about 5317.37 million bits Sat Jan 30 07:51:02 2021 initial square root is modulo 918433 Sat Jan 30 10:14:57 2021 GCD is N, no factor found Sat Jan 30 10:14:57 2021 reading relations for dependency 2 Sat Jan 30 10:15:05 2021 read 21215460 cycles Sat Jan 30 10:16:26 2021 cycles contain 74562526 unique relations Sat Jan 30 10:27:23 2021 read 74562526 relations Sat Jan 30 10:39:44 2021 multiplying 74562526 relations Sat Jan 30 12:50:16 2021 multiply complete, coefficients have about 5317.67 million bits Sat Jan 30 12:50:57 2021 initial square root is modulo 919153 Sat Jan 30 15:14:23 2021 sqrtTime: 35120 Sat Jan 30 15:14:23 2021 p101 factor: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 Sat Jan 30 15:14:23 2021 p102 factor: 206811109652484947999953179293051913495058417807929099923220893228189351588693144846296035840822032161 Sat Jan 30 15:14:23 2021 elapsed time 09:45:21 - Found by Kurt Beschorner Jan 30, 2021 n= 14287: 470880522969941164000649 * 148984540......c11171; ecm: B1 = 5e4; sigma = 0:5190893335070041 - Found by Alfred Eichhorn Jan 27, 2021 n =57977: 136706260257531467568281 * 8127726623......c57953; mprime: B1= 5e4; sigma = 7017535596326062 Jan 27, 2021 n =94291: 3110641719058304721731039 * 3571967495......c94266; mprime: B1= 5e4; sigma = 0:5239395843259510 - Found by Kurt Beschorner Jan 27, 2021 n= 14287: 10577800322757900954578039 * 7015391835......c11194 ecm: B1 = 5e4; sigma = 0:590946536009718 Jan 27, 2021 n=100009: 20634960379307; Prime95 Jan 27, 2021 n=100009: 323337807782099839; Prime95 Jan 27, 2021 n=205043: 3175049812855785373; gr-mfaktc Jan 27, 2021 n=205063: 231040781001988831; gr-mfaktc Jan 27, 2021 n=205103: 3307884981352375759; gr-mfaktc Jan 27, 2021 n=205171: 164985237671568689; gr-mfaktc - Found by YOYO@home Patrick Schmeer Jan 26, 2021 n = 519: 25175590297709339047755994593944705119042514299940364907; ecm: B1= 85e7; sigma = 0:15265866885997281733 - Found by Kurt Beschorner Jan 25, 2021 n = 9201: 12709664685205696122625527283 * 1019497540......c6073 ecm: B1= 1e6; sigma = 0:1735000536225406 Jan 25, 2021 n =20001: 30095813389833721 * 4466077708......c12952 Prime95 - Found by Kurt Beschorner Jan 21, 2021 n=205357: 312192707609223907 * 294656......c205328 gr-mfaktc Jan 21, 2021 n=205433: 1377768001452011959 * 104416......c205403 gr-mfaktc Jan 21, 2021 n=205937: 1591322610721439053 * 637904......c205896 gr-mfaktc - Found by Alfred Eichhorn Jan 19, 2021 n =38543: 9504220232671058895124963 * 1169071300......c38518; mprime: B1= 5e4; sigma = 6124289643683899 Jan 19, 2021 n =94207: 86797080183778288461827 * 1280124986......c94184; mprime: B1= 5e4; sigma = 0:6719918816758285 - Found by YOYO@home errate Jan 12, 2021 n = 469: 316237267349250204445544982727458065652184756181185770847813; ecm: B1= 26e7; sigma = 0:16910116206833045390 - Found by Alfred Eichhorn Jan 04, 2021 n =93701: 1526582156275453470741631 * 7278423283......c93676; ecm: B1= 5e4; sigma = 6283823372959198 - Found by Kurt Beschorner Dec 29, 2020 n=204377: 180927010969434427; gr-mfaktc Dec 29, 2020 n=204439: 146267738020373369; gr-mfaktc Dec 29, 2020 n=204443: 1141682112054625373; gr-mfaktc Dec 29, 2020 n=204517: 242218831754908199; gr-mfaktc Dec 29, 2020 n=204521: 930251343650046547; gr-mfaktc Dec 29, 2020 n=204749: 3125506118317147517; gr-mfaktc Dec 29, 2020 n=204791: 2177964030259034639; gr-mfaktc Dec 29, 2020 n=204923: 3212257844499303037; gr-mfaktc - Found by Alfred Eichhorn Dec 21, 2020 n =37463: 1291513379507105982324649 * 8603171509......c37438; ecm: B1= 5e4; sigma = 0:1282936939025672 - Found by Alfred Eichhorn Dec 13, 2020 n = 625: 2782057126261476352728985117193142348250001 * 3594462495......c458; ecm: B1= 11e6; sigma = 3811420836399633 Dec 13, 2020 n =37321: 221668844876440908080053 * 5012482073......c37297; ecm: B1= 5e4; sigma = 0:987604560642120 Dec 13, 2020 n =57331: 33093028143691601488997453 * 3357538350......c57305; ecm: B1= 5e4; sigma = 0:987604560642120 - Found by Kurt Beschorner Dec 13, 2020 n=202661: 13828771137650000489; gr-mfaktc Dec 13, 2020 n=202879: 564427863361066559; gr-mfaktc Dec 13, 2020 n=202921: 115530666508472639; gr-mfaktc Dec 13, 2020 n=202931: 737568547529905963; gr-mfaktc Dec 13, 2020 n=202973: 258320382027350551; gr-mfaktc Dec 13, 2020 n=203011: 74480284974773929; gr-mfaktc Dec 13, 2020 n=203017: 5417969190539215489; gr-mfaktc Dec 13, 2020 n=203057: 154199528114873467; gr-mfaktc Dec 13, 2020 n=203057: 558587913706561667; gr-mfaktc Dec 13, 2020 n=203249: 211939161422157881; gr-mfaktc Dec 13, 2020 n=203323: 230417205702758089; gr-mfaktc Dec 13, 2020 n=203429: 8854742073047374187; gr-mfaktc Dec 13, 2020 n=203449: 432419812911358747; gr-mfaktc Dec 13, 2020 n=204047: 9315600248238805307; gr-mfaktc Dec 13, 2020 n=204161: 7429452098801410159; gr-mfaktc - Found by Alfred Eichhorn Dec 05, 2020 n =37201: 61661917470414349548721 * 1801940576......c37178; ecm: B1= 5e4; sigma = 0:8865721391841076 Dec 05, 2020 n =93287: 80748952618511228733655747 * 1376006839......c93261; ecm: B1= 5e4; sigma = 0:4352615473108340 Dec 05, 2020 n =93319: 72613413035798133874393863323 * 1530173372......c93290; ecm: B1= 5e4; sigma = 5938287298114563 Dec 05, 2020 n =93329: 207470583332892320266595359 * 5355511577......c93302; ecm: B1= 5e4; sigma = 0:7711384171121594 - Found by Kurt Beschorner Dec 05, 2020 n=200257: 10472706401264520929; gr-mfaktc Dec 05, 2020 n=200771: 3458884538999782439; gr-mfaktc Dec 05, 2020 n=200843: 177815856530546681; gr-mfaktc Dec 05, 2020 n=201403: 13628684355253005161; gr-mfaktc Dec 05, 2020 n=201449: 765791177198537653; gr-mfaktc Dec 05, 2020 n=201577: 2627722192656856003; gr-mfaktc Dec 05, 2020 n=201629: 391853253351994723; gr-mfaktc Dec 05, 2020 n=201743: 5657524658262946307; gr-mfaktc Dec 05, 2020 n=201791: 133241200625790511; gr-mfaktc Dec 05, 2020 n=201997: 11753508360524190721; gr-mfaktc Dec 05, 2020 n=202021: 729769732924109369; gr-mfaktc Dec 05, 2020 n=202309: 587656311827276917; gr-mfaktc Dec 05, 2020 n=202343: 75641480950944347; gr-mfaktc
ECM efforts | |
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with Rn: 323 < n < 2000 (Feb 16, 2021) | with Rn: 1999 < n < 3000 (Jan 04, 2021) |
with Rn: 2999 < n < 4000 (Jun 12, 2019) | with Rn: 3999 < n < 5000 (Jun 12, 2019) |
with Rn: 4999 < n < 6000 (Jan 19, 2021) | with Rn: 5999 < n < 7000 (Feb 12, 2021) |
with Rn: 6999 < n < 8000 (Sep 27, 2020) | with Rn: 7999 < n < 9000 (Aug 22, 2020) |
with Rn: 8999 < n <10000 (Feb 22, 2021) | with Rn: 9999 < n <11000 (Jun 12, 2019) |
with Rn: 10999 < n <12000 (Jun 12, 2019) | with Rn: 11999 < n <12500L/M (Oct 31, 2020) |
currently ECM-efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|
B1 = 43e6/8600 curves/ numbers < 1001 digits |
1117 working |
1255 working |
1257 working |
1465 working |
1475 working |
B1 = 11e7/18400 curves/ numbers < 701 digits |
593 working |
599 working |
607 working |
611 working |
617 working |
B1 = 26e7/46000 curves/ numbers < 450 digits |
469 working |
475 working |
521 working |
1136 working |
1160 working |
B1 = 85e7/75000 curves/ numbers < 250 digits |
609 working |
735 working |
1008 working |
1188 working |
1200 working |
Factorizations | |
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Repunits: R1 - R2500 (Jan 31, 2021) | Repunits: R2501 - R5000 (Feb 14, 2020) |
Repunits: R5001 - R7500 (Sep 28, 2020) | Repunits: R7501 - R10000 (Feb 12, 2021) |
Repunits: R10001 - R12500 (Jun 12, 2019) | Repunits: R12501 - R14980L/M (Sep 19, 2020) |
Exponent | Primes/PRP found by ... |
- 10ˆ20 | R19 = prime |
- 10ˆ100 | R23 = prime |
- 10ˆ1000 | R317 = prime |
- 10ˆ10000 | R1031 = prime WD (Dec 1985) |
- 10ˆ50000 | R49081 = PRP Harvey Dubner (Sep 1999) |
- 10ˆ100000 | R86453 = PRP Lew Baxter (Oct 2000) |
- 10ˆ250000 | R109297 = PRP Paul Bourdelais - Harvey Dubner (Apr 2007) |
- 10ˆ500000 | R270343 = PRP Maksym Voznyy - Anton Budnyy (Jul 2007) |
- 10ˆ 4300447 | no further probable primes |