- Last update: Mar 29, 2020
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Mar 29, 2020 R459, c221; SNFS-difficult = 306
726M unique relations and 614M unique ideals are collected
unique rels / unique ideals: 1.182
currently progress ~ 97%:
last msieve-extract:
begin with 726012301 relations and 613941599 unique ideals
reduce to 174033584 relations and 170979899 ideals in 5 passes
found 50032169 cycles, need 49989416
weight of 49989416 cycles is about 6499345056 (130.01/cycle)
matrix-size: 49989416; the matrix is still a bit too big
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner; the R1980M-polynom was
created by Maksym Voznyy in cooperation with mersenneforum - thanks!
Jul 07, 2019 n =1980M: 1894480662587906626213719003472037744324031299064496778010791034044578628744590947201792481; GNFS
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
R1740M, c204, GNFS: the R507-polynom was created by Maksym Voznyy - thanks!
5.3M unique relations and 28.8M unique ideals are collected
currently progress ~ 0.7%:
- Found by Kurt Beschorner
Sep 28, 2019 n =8940M: 2647733864525435357868825323065594021; B1= 11e6; sigma = 2165451346
Oct 14, 2019 n = 1417: 55931448966246130071538810222836707; B1= 11e6; sigma = 3780116918
Dec 03, 2019 n = 9013: 1232659648200408834362715471709133; B1= 1e6; sigma = 0:5076496851656937
- Found by Bo Chen
Jul 03, 2019 n = 2029: 245013714487726159144720326081715348604363; B1= 11e6; sigma = 0:12332245062534318460
- Found by ECMNET/Sam Wagstaff
Oct 03, 2019 n =1420M: 101956533794009284800765131459172391943780858147641273764890861; ecm
Feb 21, 2020 n = 337: 906533749251005245151122204670351312590267105760052002862150546121; ecm
- Found by Alfred Eichhorn
Oct 31, 2019 n =93001: 12570832586559636779231 * 8838802867......c92978; B1=11e3; sigma = 3743076398710936781
Nov 21, 2019 n =93827: 2544410332113800320497347 * 4366870771......c93802; B1=11e3; sigma = 4336063350918828
Dec 15, 2019 n =52147: 1060978174020566009811787 * 1047251619......c52123; B1= 5e4; sigma = 329756761546524
Dec 17, 2019 n =95443: 2110314549471605025311723 * 5265144532......c95418; B1=11e3; sigma = 5404124221991931
Dec 24, 2019 n =52223: 5706344809886297017064443 * 2687544852......c52176; B1= 5e4; sigma = 6672244074087398
Dec 31, 2019 n =52321: 37683103967057351697462641 * 2948565787......c52295; B1= 5e4; sigma = 1086750337276893
Jan 15, 2020 n =97177: 124424728162215845811053 * 8929986245......c97153; B1=11e3; sigma = 0:6685918159451668
Jan 17, 2020 n =29833: 128655998212688048074613 * 8636294665......c29809; B1= 5e4; sigma = 0:446141662229075
Jan 17, 2020 n =97259: 29785997862163373826283 * 3730313539......c97236; B1=11e3; sigma = 6073594763329655
Jan 25, 2020 n =29921: 7944266590085209407558043 * 1398632710......c29896; B1= 5e4; sigma = 0:6295422506612517
Jan 25, 2020 n =97441: 23531831922463159019363 * 4721736559......c97418; B1=11e3; sigma = 0:572757438078828
Jan 25, 2020 n =97499: 909976776008901087671 * 1221032382......c97478; B1=11e3; sigma = 0:6268074457992331
Feb 07, 2020 n =52571: 559529051889727653062093; B1= 5e4; sigma = 7455767888265547
Feb 07, 2020 n =52571: 20517054941520442699702643 * 9678762390......c52521; B1= 5e4; sigma = 4740502804702800
Feb 07, 2020 n =52639: 15711934104819221807719 * 7071765345......c52616; B1= 5e4; sigma = 6804711781004988
Feb 18, 2020 n =52901: 123916442620826244778132831 * 8966615629......c52874; B1= 5e4; sigma = 3330132924706343
Mar 11, 2020 n =30557: 488739274086097811461190161 * 2273423009......c30530; B1= 5e4; sigma = 2893196195929023
- Found by NFS@home
Oct 13, 2019 n = 626: 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567; SNFS
- Found by Alfred Reich
Jun 11, 2019 n = 3013: 54801984828194245177182941528875876754999; ecm
Jun 11, 2019 n = 3375: 9928227087054120839404714671321001; ecm
Jun 11, 2019 n = 3763: 33819951029015563544261960393215363; ecm
Jun 11, 2019 n = 4005: 1867328658390232232662140183278161; ecm
Jun 11, 2019 n = 4541: 3490250651625330786758706967866961; ecm
- Found by YOYO@home
YOYO@home/Danny
Aug 06, 2019 n =2380M: 55722909386297024938297392343519300689842174503366122181; B1= 26e7; sigma = 0:2377822517027304999
YOYO@home/Henric
Oct 16, 2019 n = 1357: 800551567150597779248843185551955662432161; B1= 11e6; sigma = 0:138423886ÿ 86??30632
YOYO@home/[P3D] Crashtest
Feb 14, 2020 n =2580L: 3209681398615442534074101309775547494759396015886801499169945861; B1= 85e7; sigma = 0:1524063036262106663
YOYO@home/Beyond
Feb 23, 2020 n = 1233: 82953452943096961359732993332153506983079; B1= 43e6; sigma = 0:10297922851821278427
| ECM efforts | |
|---|---|
| with Rn: 323 < n < 2000 (Mar 27, 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 (Mar 27, 2020) |
| with Rn: 6999 < n < 8000 (JuL 16, 2019) | with Rn: 7999 < n < 9000 (Oct 30, 2019) |
| with Rn: 8999 < n <10000 (Feb 24, 2020) | with Rn: 9999 < n <11000 (Jun 12, 2019) |
| with Rn: 10999 < n <12000 (Jun 12, 2019) | with Rn: 11999 < n <12501 (Mar 16, 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 |
571 working |
577 working |
589 working |
593 working |
879 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 |
471 working |
585 working |
609 working |
621 working |
675 working |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (Feb 23, 2020) | Repunits: R2501 - R5000 (Feb 14, 2020) |
| Repunits: R5001 - R7500 (Jun 16, 2019) | Repunits: R7501 - R10000 (Dec 03, 2019) |
| Repunits: R10001 - R12500 (Jun 12, 2019) | Repunits: R12540LM - R14980LM (Apr 13, 2019) |
| 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 4094317 | no further probable primes |