- Last update: Sep 20, 2020 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerSep 20, 2020 R337, c202, GNFS: the R337-polynom was created by Gimarel and Maksym Voznyy - thanks! 289M unique relations and 490M unique ideals are collected currently progress ~ 39 %:- Found by Kurt BeschornerSep 19, 2020 n =12501: 6535104588045721; B1= 1e6; sigma = 1760487021690192 -Found by Alfred EichhornSep 17, 2020 n =56041: 102321462089518541403732043 * 1085902300......c56015; B1= 5e4; sigma = 3303935810774227 -Found by Alfred EichhornSep 11, 2020 n =34613: 1120910859943369124449753067 * 9912573343......c34585; B1= 5e4; sigma = 0:3124205414575670 Sep 11, 2020 n =34631: 1865442867892204591011209 * 5956285932......c34606; B1= 5e4; sigma = 1303306403291282 Sep 11, 2020 n =55949: 763128123673032584695757159 * 1455995496......c55922; B1= 5e4; sigma = 0:756659182058430 Sep 11, 2020 n =92237: 13137107473702256458541917 * 8457806357......c92211; B1= 5e4; sigma = 1934092352120563 -Found by Alfred EichhornSep 03, 2020 n =55717: 32755939171857795635814010711 * 3392090531......c55688; B1= 5e4; sigma = 0:4984892550861418 -Found by YOYO@homeYOYO@home/Barrie Aug 30, 2020 n = 1465: 4124958033208387919306004986222829222160703448431; ecm -Found by Alfred EichhornAug 22, 2020 n =34213: 1447483603198972631826271 * 7676156805......c34188; B1= 5e4; sigma = 2299520442601417 Aug 22, 2020 n =91823: 150710591896116987435871 * 7372481901......c91799; B1= 5e4; sigma = 5727404210433105 Aug 22, 2020 n =91943: 4423729066459701825541397 * 2511706965......c91918; B1= 5e4; sigma = 4538722838662089 -Found by Kurt BeschornerAug 10, 2020 n = 9125: 731542295610070635675114751; B1= 1e6; sigma = 8234450462098695 -Found by Kurt BeschornerAug 03, 2020 n = 9051: 25812255150720206620915150429891843; B1= 3e6; sigma = 0:4029561786297060 -Found by Kurt BeschornerAug 02, 2020 n = 9113: 17245749127283658743551012523; B1= 1e6; sigma = 1521521902935765 -Found by Alfred EichhornJul 30, 2020 n =33851: 1089612291588859083100799 * 1019730705......c33827; B1= 5e4; sigma = 6941267710365863 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerJul 30, 2020 R1740M, c204, GNFS: the R1740M-polynom was created by Maksym Voznyy - thanks! 346M unique relations and 550M unique ideals are collected currently progress ~ 47 %:- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerJul 24, 2020 n = 459: 287743709071765679519005572592282086727787894852332081977696568112925297043603; SNFS details: Fri Apr 03 17:25:47 2020 Msieve v. 1.53 (SVN unknown) Fri Apr 03 17:25:47 2020 random seeds: a997da14 c0f798bb Fri Apr 03 17:25:47 2020 factoring 28097663627596496902274031141491145315198561003423811939570768213737090759678697671003530296081683917890273394247547501189864859965856340788100033713344868576734124225081468514935749802816307889082656350436177478956926883 (221 digits) Fri Apr 03 17:25:49 2020 searching for 15-digit factors Fri Apr 03 17:25:49 2020 commencing number field sieve (221-digit input) Fri Apr 03 17:25:49 2020 R0: -1000000000000000000000000000000000000000000000000000 Fri Apr 03 17:25:49 2020 R1: 1 Fri Apr 03 17:25:49 2020 A0: 1 Fri Apr 03 17:25:49 2020 A1: 0 Fri Apr 03 17:25:49 2020 A2: 0 Fri Apr 03 17:25:49 2020 A3: 1 Fri Apr 03 17:25:49 2020 A4: 0 Fri Apr 03 17:25:49 2020 A5: 0 Fri Apr 03 17:25:49 2020 A6: 1 Fri Apr 03 17:25:49 2020 skew 1.00, size 6.089e-015, alpha 1.996, combined = 2.206e-015 rroots = 0 Fri Apr 03 17:25:50 2020 Fri Apr 03 17:25:50 2020 commencing relation filtering Fri Apr 03 17:25:50 2020 setting target matrix density to 130.0 Fri Apr 03 17:25:50 2020 estimated available RAM is 65214.1 MB Fri Apr 03 17:25:50 2020 commencing duplicate removal, pass 1 Fri Apr 03 18:04:02 2020 error -15 reading relation 145002227 ... Fri Apr 03 20:40:56 2020 skipped 157173 relations with b > 2^32 Fri Apr 03 20:40:56 2020 skipped 3 relations with composite factors Fri Apr 03 20:40:56 2020 found 102149573 hash collisions in 737848016 relations Fri Apr 03 20:40:56 2020 added 3 free relations Fri Apr 03 20:40:56 2020 commencing duplicate removal, pass 2 Fri Apr 03 20:50:17 2020 found 4110 duplicates and 737843909 unique relations Fri Apr 03 20:50:17 2020 memory use: 4262.0 MB Fri Apr 03 20:50:18 2020 reading ideals above 599064576 Fri Apr 03 20:50:18 2020 commencing singleton removal, initial pass Fri Apr 03 23:25:21 2020 memory use: 11024.0 MB Fri Apr 03 23:25:22 2020 reading all ideals from disk Fri Apr 03 23:25:59 2020 memory use: 13386.8 MB Fri Apr 03 23:27:08 2020 commencing in-memory singleton removal Fri Apr 03 23:28:15 2020 begin with 737843909 relations and 616314055 unique ideals Fri Apr 03 23:44:02 2020 reduce to 504736196 relations and 361956209 ideals in 14 passes Fri Apr 03 23:44:02 2020 max relations containing the same ideal: 41 Fri Apr 03 23:45:10 2020 reading ideals above 720000 Fri Apr 03 23:45:11 2020 commencing singleton removal, initial pass Sat Apr 04 02:14:50 2020 memory use: 11024.0 MB Sat Apr 04 02:14:51 2020 reading all ideals from disk Sat Apr 04 02:15:56 2020 memory use: 23131.9 MB Sat Apr 04 02:18:10 2020 keeping 421785409 ideals with weight <= 200, target excess is 2724899 Sat Apr 04 02:20:25 2020 commencing in-memory singleton removal Sat Apr 04 02:22:02 2020 begin with 504736196 relations and 421785409 unique ideals Sat Apr 04 02:40:49 2020 reduce to 504722501 relations and 421771714 ideals in 9 passes Sat Apr 04 02:40:49 2020 max relations containing the same ideal: 200 Sat Apr 04 02:48:26 2020 removing 14346634 relations and 12562686 ideals in 2000000 cliques Sat Apr 04 02:48:36 2020 commencing in-memory singleton removal Sat Apr 04 02:50:03 2020 begin with 490375867 relations and 421771714 unique ideals ... Sat Apr 04 12:17:10 2020 begin with 170227179 relations and 172785920 unique ideals Sat Apr 04 12:21:45 2020 reduce to 169963756 relations and 166800361 ideals in 8 passes Sat Apr 04 12:21:45 2020 max relations containing the same ideal: 104 Sat Apr 04 12:24:49 2020 relations with 0 large ideals: 206417 Sat Apr 04 12:24:49 2020 relations with 1 large ideals: 35137 Sat Apr 04 12:24:49 2020 relations with 2 large ideals: 439347 Sat Apr 04 12:24:49 2020 relations with 3 large ideals: 3019770 Sat Apr 04 12:24:49 2020 relations with 4 large ideals: 11565343 Sat Apr 04 12:24:49 2020 relations with 5 large ideals: 27231596 Sat Apr 04 12:24:49 2020 relations with 6 large ideals: 41413029 Sat Apr 04 12:24:49 2020 relations with 7+ large ideals: 86053117 Sat Apr 04 12:24:49 2020 commencing 2-way merge Sat Apr 04 12:28:28 2020 reduce to 110760814 relation sets and 107597419 unique ideals Sat Apr 04 12:28:28 2020 commencing full merge Sat Apr 04 13:56:48 2020 memory use: 14622.2 MB Sat Apr 04 13:57:40 2020 found 49189882 cycles, need 49115619 Sat Apr 04 13:57:44 2020 weight of 49115619 cycles is about 6385166686 (130.00/cycle) Sat Apr 04 13:57:44 2020 distribution of cycle lengths: Sat Apr 04 13:57:44 2020 1 relations: 3045635 Sat Apr 04 13:57:44 2020 2 relations: 3191268 Sat Apr 04 13:57:44 2020 3 relations: 3385894 Sat Apr 04 13:57:44 2020 4 relations: 3381649 Sat Apr 04 13:57:44 2020 5 relations: 3400284 Sat Apr 04 13:57:44 2020 6 relations: 3327590 Sat Apr 04 13:57:44 2020 7 relations: 3252571 Sat Apr 04 13:57:44 2020 8 relations: 3123119 Sat Apr 04 13:57:44 2020 9 relations: 2976096 Sat Apr 04 13:57:44 2020 10+ relations: 20031513 Sat Apr 04 13:57:44 2020 heaviest cycle: 28 relations Sat Apr 04 14:06:34 2020 commencing cycle optimization Sat Apr 04 14:10:29 2020 start with 438058474 relations Sat Apr 04 14:52:10 2020 pruned 19603883 relations Sat Apr 04 14:52:11 2020 memory use: 11519.8 MB Sat Apr 04 14:52:11 2020 distribution of cycle lengths: Sat Apr 04 14:52:11 2020 1 relations: 3045635 Sat Apr 04 14:52:11 2020 2 relations: 3267379 Sat Apr 04 14:52:11 2020 3 relations: 3528083 Sat Apr 04 14:52:11 2020 4 relations: 3522005 Sat Apr 04 14:52:11 2020 5 relations: 3563405 Sat Apr 04 14:52:11 2020 6 relations: 3479104 Sat Apr 04 14:52:11 2020 7 relations: 3414085 Sat Apr 04 14:52:11 2020 8 relations: 3265392 Sat Apr 04 14:52:11 2020 9 relations: 3107054 Sat Apr 04 14:52:11 2020 10+ relations: 18923477 Sat Apr 04 14:52:11 2020 heaviest cycle: 28 relations Sat Apr 04 15:02:14 2020 RelProcTime: 77784 Sat Apr 04 15:02:14 2020 elapsed time 21:36:27 Fri May 15 20:03:29 2020 commencing linear algebra Fri May 15 20:04:31 2020 matrix starts at (0, 0) Fri May 15 20:04:44 2020 matrix is 49114833 x 49115010 (24803.7 MB) with weight 7031998278 (143.17/col) Fri May 15 20:04:44 2020 sparse part has weight 5961868268 (121.39/col) Fri May 15 20:04:44 2020 saving the first 48 matrix rows for later Fri May 15 20:04:57 2020 matrix includes 64 packed rows Fri May 15 20:05:06 2020 matrix is 49114785 x 49115010 (23840.4 MB) with weight 6111460112 (124.43/col) Fri May 15 20:05:06 2020 sparse part has weight 5758479444 (117.24/col) Fri May 15 20:05:06 2020 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB Fri May 15 20:10:25 2020 commencing Lanczos iteration (16 threads) Fri May 15 20:10:25 2020 memory use: 21169.4 MB Fri May 15 20:10:29 2020 restarting at iteration 37005 (dim = 2340052) Fri May 15 20:13:52 2020 linear algebra at 4.8%, ETA 1728h22m Fri May 15 20:14:51 2020 checkpointing every 30000 dimensions Thu Jul 23 18:43:22 2020 lanczos halted after 776689 iterations (dim = 49114781) Thu Jul 23 18:44:11 2020 recovered 37 nontrivial dependencies Thu Jul 23 18:46:29 2020 BLanczosTime: 5956980 Thu Jul 23 18:46:29 2020 elapsed time 1654:43:01 Thu Jul 23 19:25:05 2020 commencing square root phase Thu Jul 23 19:25:05 2020 handling dependencies 1 to 64 Thu Jul 23 19:25:05 2020 reading relations for dependency 1 Thu Jul 23 19:25:13 2020 read 24559187 cycles Thu Jul 23 19:26:08 2020 cycles contain 84141086 unique relations Thu Jul 23 19:37:11 2020 read 84141086 relations Thu Jul 23 19:44:35 2020 multiplying 84141086 relations Thu Jul 23 20:38:56 2020 multiply complete, coefficients have about 2351.40 million bits Thu Jul 23 20:39:10 2020 initial square root is modulo 187877 Thu Jul 23 21:36:30 2020 sqrtTime: 7885 Thu Jul 23 21:36:30 2020 p78 factor: 287743709071765679519005572592282086727787894852332081977696568112925297043603 Thu Jul 23 21:36:30 2020 p143 factor: 97648229107204235650441206754425845388055840946224275373388075321223543065113417752695410418408653172411245982360494127850309706544173670915761 Thu Jul 23 21:36:30 2020 elapsed time 02:11:27 -Found by Kurt BeschornerJul 22, 2020 n = 9107: 2102333137776831192401353613; B1= 1e6; sigma = 3467006848464782 -Found by Kurt BeschornerJul 20, 2020 n = 9159: 7458071133126696400638318787; B1= 3e6; sigma = 5685064070024516 -Found by Alfred EichhornJul 15, 2020 n =33563: 6048976971971164235785867 * 1836857895......c33538; B1= 5e4; sigma = 8315090112117856 -Found by Alfred EichhornJul 01, 2020 n =33113: 24353329584974226507401 * 4562460780......c33090; B1= 5e4; sigma = 7127985045140319 Jul 01, 2020 n =54361: 665592461889878795163841 * 1669356512......c54337; B1= 5e4; sigma = 5447122642957776 -Found by Kurt BeschornerJun 24, 2020 n = 9135: 11344306940218749065447446471; B1= 3e6; sigma = 6758203416202594 -Found by Alfred EichhornJun 22, 2020 n =32957: 3034964556511025727319 * 3661034883......c32935; B1= 5e4; sigma = 6759563567141852 Jun 22, 2020 n =54311: 99226280343250370040079 * 1119775030......c54288; B1= 5e4; sigma = 5492623138501617 Jun 22, 2020 n =90947: 4836116397715960105187489 * 2297527643......c90922; B1= 5e4; sigma = 6875843154026388 -Found by Alfred EichhornJun 16, 2020 n =32887: 214754296621034269611689 * 5173871389......c32863; B1= 5e4; sigma = 5776684445425926 -Found by Kurt BeschornerJun 16, 2020 n=299947: 4179348094038241; B1= 5e4; sigma = 7664573366871508 -Found by Kurt BeschornerJun 11, 2020 n = 9129: 58716953887634579999893; B1= 3e6; sigma = 581214424774345

ECM efforts | |
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with Rn: 323 < n < 2000 (Sep 07, 2020) | with Rn: 1999 < n < 3000 (Feb 14, 2020) |

with Rn: 2999 < n < 4000 (Jun 12, 2019) | with Rn: 3999 < n < 5000 (Jun 12, 2019) |

with Rn: 4999 < n < 6000 (Mar 15, 2020) | with Rn: 5999 < n < 7000 (Aug 22, 2020) |

with Rn: 6999 < n < 8000 (Aug 04, 2020) | with Rn: 7999 < n < 9000 (Aug 22, 2020) |

with Rn: 8999 < n <10000 (Sep 20, 2020) | with Rn: 9999 < n <11000 (Jun 12, 2019) |

with Rn: 10999 < n <12000 (Jun 12, 2019) | with Rn: 11999 < n <12502 (Sep 19, 2019) |

currently ECM-efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|

B1 = 43e6/8600 curves/ numbers < 1001 digits |
1233 working |
1235 working |
1251 working |
1255 working |
1257 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 |
467 working |
521 working |
1136 working |
1142 working |
1160 working |

B1 = 85e7/75000 curves/ numbers < 250 digits |
585 working |
609 working |
675 working |
735 working |
1008 working |

Factorizations | |
---|---|

Repunits: R1 - R2500 (Sep 03, 2020) | Repunits: R2501 - R5000 (Feb 14, 2020) |

Repunits: R5001 - R7500 (Apr 22, 2020) | Repunits: R7501 - R10000 (Aug 10, 2020) |

Repunits: R10001 - R12500 (Jun 12, 2019) | Repunits: R12501 - R14980LM (Sep 19, 2020) |

Status: 3 - 1M 1M - 2M 2M - 3M 3M - 4M 4M - 5M

Details: 3 - 1M 1M - 2M 2M - 3M 3M - 4M 4M - 5M

Richard Kapek, Pavlos, Edo Rajh, Alfred Reich, Nejc Skoberne, Sebastian, MattStath, Maksym Voznyy, wims, Kurt Beschorner

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 4234157 | no further probable primes |

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