ECM EFFORTS | |
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with Rn: 323 < n < 2000 (Nov 18, 2018) | with Rn: 1999 < n < 3000 (Oct 12, 2018) |

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

with Rn: 4999 < n < 6000 (Nov 15, 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 (Oct 05, 2017) |

Efforts by yoyo@home: ecm-curves | |||||
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B1 = 43e6/8600 curves/ numbers < 1001 digits |
953 working |
955 working |
959 working |
961 working |
965 working |

B1 = 11e7/18400 curves/ numbers < 701 digits |
875 working |
879 working |
895 working |
1202 working |
1208 working |

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

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

- Last update: Nov 18, 2018 -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 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerNov 18, 2018 R507, c200, GNFS: the R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks! 143M unique relations and 319M unique ideals are collected currently progress ~ 19.5%:- Found by Kurt BeschornerAug 14, 2018 n = 5763: 284156578135574224432914847837; B1= 1e6; sigma = 3029120048 Sep 18, 2018 n = 5769: 498268955994589849741317466453; B1= 1e6; sigma = 3296470939 Nov 15, 2018 n = 5799: 407616517564686763737328159; B1= 1e6; sigma = 196829594 -Found by Alfred EichhornAug 03, 2018 n =24499: 18174893231459131283319569 * 6113439550......c24473; B1=5e4; sigma = 8634299472218058874 Aug 16, 2018 n =24767: 335279891709129662539397 * 7376413727......c24719; B1=5e4; sigma = 18035853098425951272 Aug 16, 2018 n =50129: 6289652660414968016773 * 1766569906......c50107; B1=5e4; sigma = 9173810817472448840 Aug 24, 2018 n =24859: 732758049762982336409489 * 1516341050......c24835; B1=5e4; sigma = 13838281173430418896 Sep 14, 2018 n =25033: 26379408690395699720505923 * 4212039489......c25007; B1=5e4; sigma = 17699047658806986723 Sep 14, 2018 n =50147: 84543021478589310587493493 * 1314255265......c50121; B1=5e4; sigma = 5370675363275971662 Sep 22, 2018 n =25037: 811768176143826688793987 * 1368754213......c25013; B1=5e4; sigma = 11091549647073987954 Oct 01, 2018 n =82189: 238414930357117293855839 * 4660409100 ......c82165; B1=11e3; sigma = 562165524379139051 Oct 30, 2018 n =83023: 500264093290976080733 * 2221049093......c83002; B1=11e3; sigma = 11937734603016540001 Nov 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 -Found by Alfred ReichAug 25, 2018 n = 2000: 2918934658137053157142763595766996896001; B1= 8e7; sigma= 1:422066992 -Found by Sam WagstaffJun 30, 2018 n = 776: 89889606269073901082901578436277965983883967076039535258233; ecm -Found by YOYO@home- YOYO@home/NeuralMiner Jul 04, 2018 n = 1319: 14390577104652629414853222197261272650807833666740820489; B1= 11e6; sigma = 0:9515467317591503677 - YOYO@home/Deltik Jul 26, 2018 n =5660M: 1369840259774549318827876634983169895121; B1= 11e6; sigma = 0:8001543717994501796 - YOYO@home/Danny Aug 15, 2018 n = 937: 829044297281482845905510544752736064447147; B1= 43e6; sigma = 0:17347482564892651207 - YOYO@home/Danny Aug 16, 2018 n = 941: 2416277668973171349313713089855425966192452863373961; B1= 43e6; sigma = 0:8598628182170899200 - YOYO@home/biodoc Aug 24, 2018 n =5860L: 2837267642075799218843167929960912181; B1= 11e6; sigma = 0:4074972538232797766 - YOYO@home/Deltik Sep 05, 2018 n = 947: 48654367388531252592760353317455806428703907; B1= 43e6; sigma = 0:3047487473098335725 - YOYO@home/CCPLogibro Sep 15, 2018 n =1225: 148034167812084215700206443550170966001; B1= 43e6; sigma = 0:671077335727112008 - YOYO@home/pi Sep 17, 2018 n =5900M: 593243597135622945022444401922545308692618865123732027101; B1= 11e6; sigma = 0:12823567598948732363 - YOYO@home/Loaded Sep 18, 2018 n =1202: 12319072731805329005802468132076248505842564849805129; B1= 11e7; sigma = 0:14036092255227619769 - YOYO@home/Lennox84 Sep 19, 2018 n = 463: 212135711098934921098108241314382773839707263659206851643; B1= 26e7; sigma = 0:18442255449381683540

Factorizations | |
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Repunits: R1 - R2500 (Nov 18, 2018) | Repunits: R2501 - R5000 (Sep 28, 2018) |

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

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

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