ECM EFFORTS | |
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with Rn: 323 < n < 2000 (May 18, 2018) | with Rn: 1999 < n < 3000 (Jan 16, 2018) |

with Rn: 2999 < n < 4000 (Oct 18, 2017) | with Rn: 3999 < n < 5000 (Oct 15, 2017) |

with Rn: 4999 < n < 6000 (May 17, 2018) | with Rn: 5999 < n < 7000 (Feb 14, 2018) |

with Rn: 6999 < n < 8000 (Oct 16, 2017) | with Rn: 7999 < n < 9000 (Feb 11, 2018) |

with Rn: 8999 < n <10000 (Apr 24, 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 | |||||
---|---|---|---|---|---|

B1 = 43e6/8600 curves/ numbers < 1001 digits |
923 working |
929 working |
931 working |
937 working |
941 working |

B1 = 11e7/18400 curves/ numbers < 701 digits |
851 working |
865 working |
869 working |
1202 working |
1208 working |

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

B1 = 85e7/75000 curves/ numbers < 250 digits |
407 working |
515 working |
1420L working |
2420L working |
2460L working |

- Last update: May 22, 2018 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerMay 22, 2018 R447/c242/SNFS-difficult 300; 396M unique relations and 507M unique ideals are collected currently progress ~ 55%:- Bo Chen, Wenjie Fang, Alfred Eichhorn, Kurt Beschornerthanks to Max Voznyy for poly-file Feb 16, 2018 n = 1030: 2102173879615901190724805905901825960646731569309620829374935176385195435873285181866611; GNFS Mon Dec 18 19:26:49 2017 Msieve v. 1.53 (SVN unknown) Mon Dec 18 19:26:49 2017 random seeds: 8fd6e0d8 ceb8f5bb Mon Dec 18 19:26:49 2017 factoring 1552763077808108686959865607960420017609486444677474079573318397532331366773641133556205133826829279435347604731178897784112330091512036060951765570415593479848057498566056614137801535257211165871091 (199 digits) Mon Dec 18 19:26:51 2017 searching for 15-digit factors Mon Dec 18 19:26:52 2017 commencing number field sieve (199-digit input) Mon Dec 18 19:26:52 2017 R0: -262207264182244965566501989754094701687 Mon Dec 18 19:26:52 2017 R1: 35260964440695209765221 Mon Dec 18 19:26:52 2017 A0: 61273646333056248631393145049744489856776032064 Mon Dec 18 19:26:52 2017 A1: 10420727777495411411387820457257803823560 Mon Dec 18 19:26:52 2017 A2: 145201440064897386425846123841612 Mon Dec 18 19:26:52 2017 A3: 259088764547269247676230 Mon Dec 18 19:26:52 2017 A4: -3111278570304511 Mon Dec 18 19:26:52 2017 A5: 1252800 Mon Dec 18 19:26:52 2017 skew 244424374.97, size 1.313e-019, alpha -6.405, combined = 4.818e-015 rroots = 3 Mon Dec 18 19:26:52 2017 Mon Dec 18 19:26:52 2017 commencing relation filtering Mon Dec 18 19:26:52 2017 setting target matrix density to 130.0 Mon Dec 18 19:26:52 2017 estimated available RAM is 49069.6 MB Mon Dec 18 19:26:52 2017 commencing duplicate removal, pass 1 Mon Dec 18 19:28:12 2017 error -9 reading relation 3744616 ... Mon Dec 18 23:46:54 2017 skipped 100 relations with composite factors Mon Dec 18 23:46:54 2017 found 100364806 hash collisions in 722814449 relations Mon Dec 18 23:48:01 2017 commencing duplicate removal, pass 2 Tue Dec 19 00:00:06 2017 found 3857480 duplicates and 718956969 unique relations Tue Dec 19 00:00:06 2017 memory use: 4262.0 MB Tue Dec 19 00:00:07 2017 reading ideals above 376373248 Tue Dec 19 00:00:07 2017 commencing singleton removal, initial pass Tue Dec 19 03:26:32 2017 memory use: 11024.0 MB Tue Dec 19 03:26:34 2017 reading all ideals from disk Tue Dec 19 03:26:47 2017 memory use: 14047.3 MB Tue Dec 19 03:28:41 2017 commencing in-memory singleton removal Tue Dec 19 03:30:34 2017 begin with 718956969 relations and 622835940 unique ideals Tue Dec 19 03:52:55 2017 reduce to 477243804 relations and 357663131 ideals in 15 passes Tue Dec 19 03:52:55 2017 max relations containing the same ideal: 38 Tue Dec 19 03:54:41 2017 reading ideals above 720000 ... Tue Dec 19 18:57:12 2017 begin with 145660370 relations and 146431260 unique ideals Tue Dec 19 19:01:05 2017 reduce to 145549676 relations and 142640790 ideals in 6 passes Tue Dec 19 19:01:05 2017 max relations containing the same ideal: 99 Tue Dec 19 19:04:08 2017 relations with 0 large ideals: 8608 Tue Dec 19 19:04:08 2017 relations with 1 large ideals: 32141 Tue Dec 19 19:04:08 2017 relations with 2 large ideals: 483831 Tue Dec 19 19:04:08 2017 relations with 3 large ideals: 3290692 Tue Dec 19 19:04:08 2017 relations with 4 large ideals: 12201363 Tue Dec 19 19:04:08 2017 relations with 5 large ideals: 27283605 Tue Dec 19 19:04:08 2017 relations with 6 large ideals: 38538418 Tue Dec 19 19:04:08 2017 relations with 7+ large ideals: 63711018 Tue Dec 19 19:04:08 2017 commencing 2-way merge Tue Dec 19 19:07:52 2017 reduce to 92351677 relation sets and 89442791 unique ideals Tue Dec 19 19:07:52 2017 commencing full merge Tue Dec 19 20:11:45 2017 memory use: 10667.8 MB Tue Dec 19 20:12:20 2017 found 40448970 cycles, need 40222991 Tue Dec 19 20:12:24 2017 weight of 40222991 cycles is about 5229498284 (130.01/cycle) Tue Dec 19 20:12:24 2017 distribution of cycle lengths: Tue Dec 19 20:12:24 2017 1 relations: 2839370 Tue Dec 19 20:12:24 2017 2 relations: 2638524 Tue Dec 19 20:12:24 2017 3 relations: 2782441 Tue Dec 19 20:12:24 2017 4 relations: 2806335 Tue Dec 19 20:12:24 2017 5 relations: 2876110 Tue Dec 19 20:12:24 2017 6 relations: 2829788 Tue Dec 19 20:12:24 2017 7 relations: 2773698 Tue Dec 19 20:12:24 2017 8 relations: 2667964 Tue Dec 19 20:12:24 2017 9 relations: 2532163 Tue Dec 19 20:12:24 2017 10+ relations: 15476598 Tue Dec 19 20:12:24 2017 heaviest cycle: 28 relations Tue Dec 19 20:16:47 2017 commencing cycle optimization Tue Dec 19 20:20:00 2017 start with 342169522 relations Tue Dec 19 20:50:01 2017 pruned 14583710 relations Tue Dec 19 20:50:02 2017 memory use: 9468.9 MB Tue Dec 19 20:50:02 2017 distribution of cycle lengths: Tue Dec 19 20:50:02 2017 1 relations: 2839370 Tue Dec 19 20:50:02 2017 2 relations: 2712498 Tue Dec 19 20:50:02 2017 3 relations: 2900844 Tue Dec 19 20:50:02 2017 4 relations: 2920192 Tue Dec 19 20:50:02 2017 5 relations: 3009995 Tue Dec 19 20:50:02 2017 6 relations: 2956051 Tue Dec 19 20:50:02 2017 7 relations: 2906501 Tue Dec 19 20:50:02 2017 8 relations: 2783475 Tue Dec 19 20:50:02 2017 9 relations: 2636477 Tue Dec 19 20:50:02 2017 10+ relations: 14557588 Tue Dec 19 20:50:02 2017 heaviest cycle: 28 relations Tue Dec 19 20:56:32 2017 RelProcTime: 91780 Tue Dec 19 20:56:32 2017 Tue Dec 19 20:56:32 2017 commencing linear algebra Tue Dec 19 20:57:06 2017 read 40222991 cycles Tue Dec 19 21:00:00 2017 cycles contain 143999269 unique relations Tue Dec 19 21:40:45 2017 read 143999269 relations Tue Dec 19 21:49:49 2017 using 20 quadratic characters above 4294917295 Tue Dec 19 22:03:40 2017 building initial matrix Tue Dec 19 23:17:03 2017 memory use: 20131.3 MB Tue Dec 19 23:21:47 2017 read 40222991 cycles Tue Dec 19 23:22:08 2017 matrix is 40222814 x 40222991 (20412.9 MB) with weight 6124559285 (152.27/col) Tue Dec 19 23:22:08 2017 sparse part has weight 4868444598 (121.04/col) Tue Dec 19 23:42:50 2017 filtering completed in 2 passes Tue Dec 19 23:43:11 2017 matrix is 40221281 x 40221458 (20412.8 MB) with weight 6124493389 (152.27/col) Tue Dec 19 23:43:11 2017 sparse part has weight 4868427644 (121.04/col) Tue Dec 19 23:54:42 2017 matrix starts at (0, 0) Tue Dec 19 23:55:03 2017 matrix is 40221281 x 40221458 (20412.8 MB) with weight 6124493389 (152.27/col) Tue Dec 19 23:55:03 2017 sparse part has weight 4868427644 (121.04/col) Tue Dec 19 23:55:03 2017 saving the first 48 matrix rows for later Tue Dec 19 23:55:27 2017 matrix includes 64 packed rows Tue Dec 19 23:55:38 2017 matrix is 40221233 x 40221458 (19852.4 MB) with weight 5280135315 (131.28/col) Tue Dec 19 23:55:38 2017 sparse part has weight 4801981234 (119.39/col) Tue Dec 19 23:55:38 2017 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Wed Dec 20 00:06:59 2017 commencing Lanczos iteration (12 threads) Wed Dec 20 00:06:59 2017 memory use: 17197.3 MB Wed Dec 20 00:12:50 2017 checkpointing every 30000 dimensions Thu Feb 15 20:25:19 2018 lanczos halted after 636065 iterations (dim = 40221231) Thu Feb 15 20:26:11 2018 recovered 31 nontrivial dependencies Thu Feb 15 20:28:19 2018 BLanczosTime: 5009507 Thu Feb 15 20:28:19 2018 Thu Feb 15 20:28:19 2018 commencing square root phase Thu Feb 15 20:28:19 2018 handling dependencies 1 to 64 Thu Feb 15 20:28:19 2018 reading relations for dependency 1 Thu Feb 15 20:28:31 2018 read 20108165 cycles Thu Feb 15 20:29:12 2018 cycles contain 71992354 unique relations Thu Feb 15 20:45:07 2018 read 71992354 relations Thu Feb 15 20:52:54 2018 multiplying 71992354 relations Thu Feb 15 22:59:01 2018 multiply complete, coefficients have about 4621.15 million bits Thu Feb 15 22:59:39 2018 initial square root is modulo 152189 Fri Feb 16 01:19:03 2018 sqrtTime: 17444 Fri Feb 16 01:19:03 2018 p88 factor: 2102173879615901190724805905901825960646731569309620829374935176385195435873285181866611 (Bo Chen/W. Fang/A. Eichhorn/Beschorner) * 7386463569......P111 Fri Feb 16 01:19:03 2018 p111 factor: 738646356928296470476307267086332729186390523609043172055510815591989993873426438257667855075703812004308119681 Fri Feb 16 01:19:03 2018 elapsed time 1421:52:14 -Found by Alfred EichhornFeb 18, 2018 n =22367: 491910083939628543752308667 * 2258768720......c22340; B1=5e4; sigma = 4226822665876942407 Feb 18, 2018 n =75329: 132185469097395644849 * 8405697832......c75308; B1=11e3; sigma = 12551643461909185634 Feb 24, 2018 n =22441: 7298364414889854463192187 * 1522411115......c22416; B1=5e4; sigma = 4083876554834783578 Feb 24, 2018 n =22501: 224637008050525613746832050125853 * 2484995657......c22450; B1=5e4; sigma = 16084220879206326459 Mar 12, 2018 n =22511: 133597932869817732503685853 * 1099292464......c22463; B1=5e4; sigma = 13021235081596185428 May 07, 2018 n =23357: 271754693239811669470333 * 4088654727......c23333; B1=5e4; sigma = 13657867932100063494 May 07, 2018 n =23447: 17021960507400565282497842551 * 6527515503......c23418; B1=5e4; sigma = 7981419157208808342 May 18, 2018 n =78511: 320033709185399054711 * 3471856492......c78490; B1=11e3; sigma = 16782052464410323985 May 18, 2018 n =78853: 711436450651091027 * 1561785469......c78835; B1=11e3; sigma = 7333631212948291910 -Found by Yousuke KoideFeb 15, 2018 n = 982: 44467075182005846868530065551693426652606026434296940573; B1=12e7; sigma = 2:5690539589092232789 -Found by Alfred ReichFeb 03, 2018 n = 9824: 18198559922005306277650072144139297; B1= 6e5; sigma= 1:3894282002 Feb 03, 2018 n = 9586: 343575467224788555287460428801; B1= 8e5; sigma= 1:4256511204 Feb 06, 2018 n = 9716: 13762552890503863967484529230589; B1= 9e5; sigma= 1:4087205298 Feb 10, 2018 n =8300L: 267352619706048404954978381518286405201; B1= 1e6; sigma= 1:525732917 -Found by YOYO@home- YOYO@home/NeuralMiner Feb 12, 2018 n = 1373: 229016141864852008546928682385264917916393201; B1= 11e6; sigma = 0:3460683030665955377 - YOYO@home/NeuralMiner Mar 04, 2018 n = 845: 212791029980380683788275402661746746635743222681; B1= 11e6; sigma = 0:12524453152895746251

Factorizations | |
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Repunits: R1 - R2500 (Mar 04, 2018) | Repunits: R2501 - R5000 (Oct 18, 2017) |

Repunits: R5001 - R7500 (Jan 28, 2018) | Repunits: R7501 - R10000 (Feb 11, 2018) |

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

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