ECM EFFORTS | |
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with Rn: 323 < n < 2000 (Jan 05, 2019) | with Rn: 1999 < n < 3000 (Jan 14, 2019) |

with Rn: 2999 < n < 4000 (Oct 12, 2018) | with Rn: 3999 < n < 5000 (Oct 15, 2017) |

with Rn: 4999 < n < 6000 (Dec 08, 2018) | with Rn: 5999 < n < 7000 (Sep 03, 2018) |

with Rn: 6999 < n < 8000 (Oct 16, 2017) | with Rn: 7999 < n < 9000 (Aug 14, 2018) |

with Rn: 8999 < n <10000 (Aug 14, 2018) | with Rn: 9999 < n <11000 (Sep 17, 2017) |

with Rn: 10999 < n <12000 (Oct 04, 2017) | with Rn: 11999 < n <12501 (Dec 28, 2018) |

Efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|

B1 = 43e6/8600 curves/ numbers < 1001 digits |
953 working |
955 working |
959 working |
961 working |
965 working |

B1 = 11e7/18400 curves/ numbers < 701 digits |
547 working |
557 working |
879 working |
895 working |
1208 working |

B1 = 26e7/46000 curves/ numbers < 450 digits |
735 working |
1136 working |
1142 working |
1160 working |
2380M working |

B1 = 85e7/75000 curves/ numbers < 250 digits |
471 working |
585 working |
609 working |
2420L working |
2460L working |

- Last update: Jan 14, 2019 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerJan 13, 2019 R507, c200, GNFS: the R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks! 407M unique relations and 511M unique ideals are collected currently progress ~ 55.7%:- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerNov 18, 2018 n = 447: 171965701068496883745528184125987011516361211819168507125947606393599406276344599684907; SNFS Sat Oct 06 04:58:46 2018 Msieve v. 1.54 (SVN 1018) Sat Oct 06 04:58:46 2018 random seeds: e3918a68 32ce80a5 Sat Oct 06 04:58:46 2018 factoring 69321014077064724019571549358862835996841447139912495343062967983949554947479478571581383734991370175536866202887278999373991988107804240628646717482866215329222782659915672388735946673582832868303624397508087015243244997035632300227764933519 (242 digits) Sat Oct 06 04:58:47 2018 searching for 15-digit factors Sat Oct 06 04:58:48 2018 commencing number field sieve (242-digit input) Sat Oct 06 04:58:48 2018 R0: -100000000000000000000000000000000000000000000000000 Sat Oct 06 04:58:48 2018 R1: 1 Sat Oct 06 04:58:48 2018 A0: 100 Sat Oct 06 04:58:48 2018 A1: 0 Sat Oct 06 04:58:48 2018 A2: 0 Sat Oct 06 04:58:48 2018 A3: 10 Sat Oct 06 04:58:48 2018 A4: 0 Sat Oct 06 04:58:48 2018 A5: 0 Sat Oct 06 04:58:48 2018 A6: 1 Sat Oct 06 04:58:48 2018 skew 2.95, size 1.246e-014, alpha -0.127, combined = 3.929e-015 rroots = 0 Sat Oct 06 04:58:48 2018 commencing relation filtering Sat Oct 06 04:58:48 2018 setting target matrix density to 120.0 Sat Oct 06 04:58:48 2018 estimated available RAM is 65214.1 MB Sat Oct 06 04:58:48 2018 commencing duplicate removal, pass 1 Sat Oct 06 04:59:37 2018 error -9 reading relation 4525107 ... Sat Oct 06 07:17:12 2018 skipped 20467 relations with b > 2^32 Sat Oct 06 07:17:12 2018 skipped 495 relations with composite factors Sat Oct 06 07:17:12 2018 found 117072180 hash collisions in 755265371 relations Sat Oct 06 07:17:23 2018 added 1 free relations Sat Oct 06 07:17:23 2018 commencing duplicate removal, pass 2 Sat Oct 06 07:29:27 2018 found 25043240 duplicates and 730222132 unique relations Sat Oct 06 07:29:27 2018 memory use: 4518.0 MB Sat Oct 06 07:29:28 2018 reading ideals above 431030272 Sat Oct 06 07:29:28 2018 commencing singleton removal, initial pass Sat Oct 06 09:29:40 2018 memory use: 11024.0 MB Sat Oct 06 09:29:41 2018 reading all ideals from disk Sat Oct 06 09:29:51 2018 memory use: 13762.1 MB Sat Oct 06 09:31:03 2018 commencing in-memory singleton removal Sat Oct 06 09:32:11 2018 begin with 730222132 relations and 624045914 unique ideals Sat Oct 06 09:51:04 2018 reduce to 488536219 relations and 359290715 ideals in 16 passes Sat Oct 06 09:51:04 2018 max relations containing the same ideal: 31 Sat Oct 06 09:52:11 2018 reading ideals above 720000 Sat Oct 06 09:52:13 2018 commencing singleton removal, initial pass Sat Oct 06 11:48:09 2018 memory use: 11024.0 MB Sat Oct 06 11:48:10 2018 reading all ideals from disk Sat Oct 06 11:48:29 2018 memory use: 22023.2 MB Sat Oct 06 11:50:26 2018 keeping 402483262 ideals with weight <= 200, target excess is 2607065 ... Sat Oct 06 21:45:43 2018 commencing in-memory singleton removal Sat Oct 06 21:46:04 2018 begin with 141745329 relations and 142664143 unique ideals Sat Oct 06 21:49:15 2018 reduce to 141616321 relations and 138591294 ideals in 7 passes Sat Oct 06 21:49:15 2018 max relations containing the same ideal: 96 Sat Oct 06 21:51:39 2018 relations with 0 large ideals: 65943 Sat Oct 06 21:51:39 2018 relations with 1 large ideals: 30581 Sat Oct 06 21:51:39 2018 relations with 2 large ideals: 455061 Sat Oct 06 21:51:39 2018 relations with 3 large ideals: 3079754 Sat Oct 06 21:51:39 2018 relations with 4 large ideals: 11406833 Sat Oct 06 21:51:39 2018 relations with 5 large ideals: 25593658 Sat Oct 06 21:51:39 2018 relations with 6 large ideals: 36492971 Sat Oct 06 21:51:39 2018 relations with 7+ large ideals: 64491520 Sat Oct 06 21:51:39 2018 commencing 2-way merge Sat Oct 06 21:54:38 2018 reduce to 90132240 relation sets and 87107213 unique ideals Sat Oct 06 21:54:38 2018 commencing full merge Sat Oct 06 22:56:57 2018 memory use: 11212.0 MB Sat Oct 06 22:57:37 2018 found 41059399 cycles, need 40763413 Sat Oct 06 22:57:41 2018 weight of 40763413 cycles is about 4892357921 (120.02/cycle) Sat Oct 06 22:57:41 2018 distribution of cycle lengths: Sat Oct 06 22:57:41 2018 1 relations: 2860257 Sat Oct 06 22:57:41 2018 2 relations: 2953546 Sat Oct 06 22:57:41 2018 3 relations: 3046688 Sat Oct 06 22:57:41 2018 4 relations: 3036747 Sat Oct 06 22:57:41 2018 5 relations: 3030362 Sat Oct 06 22:57:41 2018 6 relations: 2980876 Sat Oct 06 22:57:41 2018 7 relations: 2881308 Sat Oct 06 22:57:41 2018 8 relations: 2760500 Sat Oct 06 22:57:41 2018 9 relations: 2588644 Sat Oct 06 22:57:41 2018 10+ relations: 14624485 Sat Oct 06 22:57:41 2018 heaviest cycle: 28 relations Sat Oct 06 23:03:14 2018 commencing cycle optimization Sat Oct 06 23:05:57 2018 start with 331593529 relations Sat Oct 06 23:32:38 2018 pruned 13563958 relations Sat Oct 06 23:32:38 2018 memory use: 9231.7 MB Sat Oct 06 23:32:38 2018 distribution of cycle lengths: Sat Oct 06 23:32:39 2018 1 relations: 2860257 Sat Oct 06 23:32:39 2018 2 relations: 3026923 Sat Oct 06 23:32:39 2018 3 relations: 3173026 Sat Oct 06 23:32:39 2018 4 relations: 3153050 Sat Oct 06 23:32:39 2018 5 relations: 3168168 Sat Oct 06 23:32:39 2018 6 relations: 3105685 Sat Oct 06 23:32:39 2018 7 relations: 3013415 Sat Oct 06 23:32:39 2018 8 relations: 2871297 Sat Oct 06 23:32:39 2018 9 relations: 2688554 Sat Oct 06 23:32:39 2018 10+ relations: 13703038 Sat Oct 06 23:32:39 2018 heaviest cycle: 28 relations Sat Oct 06 23:39:30 2018 RelProcTime: 67242 Sat Oct 06 23:39:30 2018 Sat Oct 06 23:39:30 2018 commencing linear algebra Sat Oct 06 23:39:55 2018 read 40763413 cycles Sat Oct 06 23:42:46 2018 cycles contain 140036147 unique relations Sun Oct 07 00:04:43 2018 read 140036147 relations Sun Oct 07 00:13:03 2018 using 20 quadratic characters above 4294917295 Sun Oct 07 00:24:18 2018 building initial matrix Sun Oct 07 01:26:49 2018 memory use: 18710.3 MB Sun Oct 07 01:29:40 2018 read 40763413 cycles Sun Oct 07 01:29:52 2018 matrix is 40763236 x 40763413 (19269.0 MB) with weight 5597046678 (137.31/col) Sun Oct 07 01:29:52 2018 sparse part has weight 4602849360 (112.92/col) Sun Oct 07 01:44:03 2018 filtering completed in 2 passes Sun Oct 07 01:44:14 2018 matrix is 40761323 x 40761500 (19268.8 MB) with weight 5596979276 (137.31/col) Sun Oct 07 01:44:14 2018 sparse part has weight 4602828028 (112.92/col) Sun Oct 07 01:51:44 2018 matrix starts at (0, 0) Sun Oct 07 01:51:55 2018 matrix is 40761323 x 40761500 (19268.8 MB) with weight 5596979276 (137.31/col) Sun Oct 07 01:51:55 2018 sparse part has weight 4602828028 (112.92/col) Sun Oct 07 01:51:55 2018 saving the first 48 matrix rows for later Sun Oct 07 01:52:16 2018 matrix includes 64 packed rows Sun Oct 07 01:52:26 2018 matrix is 40761275 x 40761500 (18644.3 MB) with weight 4828877229 (118.47/col) Sun Oct 07 01:52:26 2018 sparse part has weight 4479876000 (109.90/col) Sun Oct 07 01:52:26 2018 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB Sun Oct 07 02:00:28 2018 commencing Lanczos iteration (16 threads) Sun Oct 07 02:00:28 2018 memory use: 16396.0 MB Sun Oct 07 02:03:00 2018 linear algebra at 0.0%, ETA 1071h55m Sun Oct 07 02:03:48 2018 checkpointing every 40000 dimensions Sun Nov 18 01:26:31 2018 lanczos halted after 644592 iterations (dim = 40761273) Sun Nov 18 01:27:22 2018 recovered 39 nontrivial dependencies Sun Nov 18 01:31:06 2018 BLanczosTime: 3639096 Sun Nov 18 01:31:06 2018 Sun Nov 18 01:31:06 2018 commencing square root phase Sun Nov 18 01:31:06 2018 handling dependencies 1 to 64 Sun Nov 18 01:31:06 2018 reading relations for dependency 1 Sun Nov 18 01:31:29 2018 read 20383058 cycles Sun Nov 18 01:32:52 2018 cycles contain 70029230 unique relations Sun Nov 18 01:49:39 2018 read 70029230 relations Sun Nov 18 02:02:40 2018 multiplying 70029230 relations Sun Nov 18 03:46:23 2018 multiply complete, coefficients have about 1982.47 million bits Sun Nov 18 03:46:32 2018 initial square root is modulo 781234637 Sun Nov 18 05:25:03 2018 sqrtTime: 14037 Sun Nov 18 05:25:03 2018 p87 factor: 171965701068496883745528184125987011516361211819168507125947606393599406276344599684907 Sun Nov 18 05:25:03 2018 p156 factor: 403109536647967823252626198527435162419900299742827908005840017638975777612947999010862228355924998943486126966926981706492404007923365680835642750113174317 Sun Nov 18 05:25:03 2018 elapsed time 1033:26:17 -Found by Kurt BeschornerNov 15, 2018 n = 5799: 407616517564686763737328159; B1= 1e6; sigma = 196829594 -Found by Alfred EichhornNov 11, 2018 n =25537: 1259296913639166167562326419639 * 8823265578......c25506; B1=5e4; sigma = 14892534724291470304 Nov 11, 2018 n =83257: 59227921609062585437 * 1875992067......c83237; B1=11e3; sigma = 17579053699389191557 Nov 11, 2018 n =83299: 893226768070010831 * 1160078125......c83264; B1=11e3; sigma = 11086780502315832603 Nov 11, 2018 n =83311: 3481979901988725361079 * 3191032522......c83289; B1=11e3; sigma = 6240338475624733737 Dec 19, 2018 n =50417: 231761535272230289363 * 4794199821......c50396; B1= 5e4; sigma = 3033579618245357906 Dec 19, 2018 n =83987: 285272068532406380071 * 3894917286......c83966; B1=11e3; sigma = 1182803978517703859 Dec 19, 2018 n =84011: 946115523837538007243 * 1174392643......c83990; B1=11e3; sigma = 12024811436285266500 -Correctionfalse:~~Jan 02, 2019 n =88229: 168663925267282807631 * 6587722355......c85208; B1=11e3; sigma = 7899039265179683671~~

false:~~Jan 02, 2019 n =88297: 421924698407540082163 * 2633434627......c85276; B1=11e3; sigma = 14753187368402742930~~

correct:Jan 02, 2019 n =85229: 168663925267282807631 * 6587722355......c85208; B1=11e3; sigma = 7899039265179683671

correct:Jan 02, 2019 n =85297: 421924698407540082163 * 2633434627......c85276; B1=11e3; sigma = 14753187368402742930

Find out by Alfred Eichhorn -Found by Alfred ReichDec 15, 2018 n = 2708: 1354592090378874321847140113114629; B1=11e7; sigma= 12297352491712952550 Dec 16, 2018 n =12064: 2546977868727768182069660426273; B1=1028e6; P-1 Dec 22, 2018 n =12121: 2407649538814710985900453; B1=5e4; sigma= 13750623641237937222 Dec 28, 2018 n =12118: 37627065539202417697996134091; B1=1e6; sigma= 13539547277930664860 -Found by YOYO@home- YOYO@home/WhiteFire Nov 23, 2018 n = 953: 601571969724357908830782907588971858878664579169; B1= 43e6; sigma = 0:2441301558609603979 - YOYO@home/Francis Butts Dec 06, 2018 n = 521: 491580859282283461621997489642141402831898607368043; B1= 11e7; sigma = 0:7248104013312129170 - YOYO@home/bbmz Dec 06, 2018 n = 955: 4611631116936866644619325113494274068514558656631; B1= 43e6; sigma = 0:4773587962081043371 - YOYO@home/WhiteFire Dec 14, 2018 n = 959: 39479260483646804613228566945758015357951; B1= 43e6; sigma = 0:18072187453986147935 - YOYO@home/NYX.consulting Dec 15, 2018 n = 541: 49209783772401428869185936838646522086059329; B1= 11e7; sigma = 0:18331671264619453476 - YOYO@home/NeuralMiner Dec 15, 2018 n = 705: 39684295305390393945033155364640501778802903740578801; B1= 26e7; sigma = 0:4005087120915227197 - YOYO@home/MartinOrpen Dec 25, 2018 n =1361: 3778133360275162515561392131873427; B1= 11e6; sigma = 0:11807715445759359346 - YOYO@home/lanbrown Dec 25, 2018 n = 675: 11302625411464361797455477156321087241022971504311406801; B1= 85e7; sigma = 0:5866504219856597377 - YOYO@home/user3928 Dec 26, 2018 n = 735: 1043724088777138410374757855271037976569452410073591; B1= 26e7; sigma = 17739413172727101663 - YOYO@home/bbmz Jan 05, 2019 n =1355: 64798931224892046095300386296961245938921; B1= 11e6; sigma = 0:12395092201359388656 - YOYO@home/solo Jan 14, 2019 n =2580L: 40577891868500992650677399803808454657267203875748156761; B1= 26e7; sigma = 0:2155320441625669934

Factorizations | |
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Repunits: R1 - R2500 (Jan 05, 2019) | Repunits: R2501 - R5000 (Jan 14, 2019) |

Repunits: R5001 - R7500 (Nov 15, 2018) | Repunits: R7501 - R10000 (Feb 11, 2018) |

Repunits: R10001 - R12500 (Dec 26, 2018) | Repunits: R12540LM - R14980LM (Sep 30, 2017) |

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