- Last update: Jan 08, 2023 Jan 08, 2023 n = 1427: 5103036982727761098957792950596409693 * 2786241011......P1380; ecm: B1 =11e6; sigma = 5634177607918577 Jan 08, 2023 n=142871: 284235246048470947; gr-mfaktc Jan 08, 2023 n=200100L: 180218186261101; ecm: B1 = 5e4 Jan 08, 2023 n=200100L: 936682576624695001; ecm: B1 = 5e4 Jan 08, 2023 n=200100L: 18748796798446051801; ecm: B1 = 5e4; sigma = 0:15615885390781000624 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Jan 08, 2023 - R1340L/c265: SNFS-difficult = 268; degree 8 - 691.4M unique r. relations and 610.3 unique ideals are collected - msieve filtering: well done - matrix is 65.7M x 65.7M with weight 7818384770 (118.98/col) - linear algebra completed 17625000 dimensions of 65.7M dim. (26.8%; estimated time of arrival 2311 hours) - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Jan 08, 2022 R942/c209: SNFS-difficulty = 314 98M unique raw relations from 1250M are collected currently progress 7.8 %;- Found by Kurt Beschorner Jan 04, 2023 n = 1411: 3094716767820821084333461991848123; ecm: B1 =11e6; sigma = 0:1262114500939137 Jan 04, 2023 n=142711: 4728660163685159483; gr-mfaktc - Found by YOYO@home/code740 Dec 29, 2022 n = 573: 8571171562010649843819977618730389789759904896874763 * P281; ecm: B1 = 85e7; sigma = 0:2075739498551464677 - Found by Makoto Kamada Dec 26, 2022 n=262767: 10^262767-1)/((10^87589-1) * 111 * 259613797) = 3470158024......p175168 is probable prime see: http://www.primenumbers.net/prptop/prptop.php/prptop.php?page=8#haut: rank 1828 - Found by Alfred Eichhorn Dec 23, 2022 n =48539: 51815542479681876910933; ecm: B1 = 5e4; sigma = 452523639394007 Dec 23, 2022 n =65419: 6950583483619562342590824241; ecm: B1 = 5e4; sigma = 7199896427566567 Dec 23, 2022 n =84421: 38512525260957891101711; ecm: B1 = 5e4; sigma = 2290092539869875 Dec 23, 2022 n =84467: 543506603324001612634763; ecm: B1 = 5e4; sigma = 1063663203889283 - Found by Kurt Beschorner Dec 23, 2022 n = 5603: 292306358313079003551478311632597; ecm: B1 = 1e6; sigma = 0:926444492212831 Dec 23, 2022 n=142169: 7126599804959124533; gr-mfaktc - Found by Yousuke Koide Dec 20, 2022 n =1940M: 5571625642084498030602199756991965375293044719417529765342701; ecm: B1 = 3e8; sigma = 2:13803433046389983180 - Found by YOYO@home/grc.arikado.pool Dec 17, 2022 n = 537: 2167451486375064397900184401899510260456269195385135677227157; ecm: B1 = 85e7; sigma = 0:5910846903816997764 - Found by Kurt Beschorner Dec 15, 2022 n = 1381: 71236855295678591990160932434313161; ecm: B1 =11e6; sigma = 6012605352570225 - Found by Kurt Beschorner Dec 13, 2022 n = 1315: 193413247904674241324507425343532732791 * 4212288434......P915; ecm: B1 =43e6; sigma = 0:7414637162882108 - Found by Kurt Beschorner Dec 10, 2022 n = 5209: 8418644810171006628494387152481; ecm: B1 = 1e6; sigma = 0:7909834062803979 Dec 10, 2022 n = 5251: 109300163867965785141575385067; ecm: B1 = 1e6; sigma = 0:344522311621080 Dec 10, 2022 n=141961: 444022226548698437; gr-mfaktc - Found by YOYO@home/Adrian Westlake Dec 06, 2022 n = 1212: 10498042566741901780282937616325375954902715561 * 2002446477......P276; ecm: B1 = 85e7; sigma = 0:3738033742963211035 - Found by Yousuke Koide Dec 04, 2022 n = 880: 62716385987763617906038889384985304875217698799039986699716641; ecm: B1 = 3e8; sigma = 2:10560429264819151247 - Found by Kurt Beschorner Dec 05, 2022 n = 5167: 31493160890621762208386571180804239; ecm: B1 = 1e6; sigma = 0:8576584531991617 Dec 05, 2022 n=141707: 468665922804116951; gr-mfaktc Dec 05, 2022 n=141833: 4227424868250713249; gr-mfaktc - Found by Alfred Eichhorn Dec 02, 2022 n = 65257: 29021845406574177689182183471831; ecm: B1 = 5e4; sigma = 8827912087270031 Dec 02, 2022 n = 65267: 196872763596771607155929; ecm: B1 = 5e4; sigma = 5907651863350580 Dec 02, 2022 n = 65419: 77658403478600955160498507; ecm: B1 = 5e4; sigma = 5773479858856831 Dec 02, 2022 n = 83903: 1072388632041797323856413; ecm: B1 = 5e4; sigma = 3013216190367338 Dec 02, 2022 n = 83921: 935916352185237988152529; ecm: B1 = 5e4; sigma = 2096569748642875 Dec 02, 2022 n = 83987: 971921165004064866353773; ecm: B1 = 5e4; sigma = 2917559887380640 - Found by Kurt Beschorner Dec 02, 2022 n = 5167: 58534812511619307791582990857213930867; ecm: B1 = 1e6; sigma = 0:8576584531991617 Dec 02, 2022 n=141551: 683294806297822001; gr-mfaktc - Found by Kurt Beschorner Nov 20, 2022 n = 5087: 855696576819526114321368468241; ecm: B1 = 1e6; sigma = 0:2338557618126682 Nov 20, 2022 n=140779: 1886531517329207467; gr-mfaktc Nov 20, 2022 n=141067: 3019266738055160111; gr-mfaktc - Found by YOYO@home/Lars_Seidel Nov 24, 2022 n = 497: 4247178976042868082665679915673747026882614569 * 1712111424......P321; ecm: B1 = 85e7; sigma = 0:17252997664838270985 - Found by Kurt Beschorner Nov 20, 2022 n = 9525: 246411272719873911988478401; ecm: B1 = 1e6; sigma = 0:1153280773493264 Nov 20, 2022 n=140443: 3420910228546247551; gr-mfaktc Nov 20, 2022 n=140587: 11931743520497439239; gr-mfaktc - Found by Alfred Eichhorn Nov 18, 2022 n = 47857: 267862652398859882975627; ecm: B1 = 5e4; sigma = 8846267970344855 Nov 18, 2022 n = 47857: 5814050299123021647722194082747; ecm: B1 = 5e4; sigma = 8795177300895013 - Found by Kurt Beschorner Nov 18, 2022 n=139921: 121435939069357037; gr-mfaktc Nov 18, 2022 n=139987: 5328475787572005311; gr-mfaktc Nov 18, 2022 n=140227: 439337271274130849; gr-mfaktc - Found by Kurt Beschorner Nov 05, 2022 n = 5999: 30098469727206035303519014883; ecm: B1 = 1e6; sigma = 5200900600359875 Nov 05, 2022 n=139703: 268697501287103723; gr-mfaktc - Found by Kurt Beschorner Nov 01, 2022 n = 1389: 39307144309365706756279849773434495203 * 9193907609......P840; ecm: B1 =43e6; sigma = 1509003123809924 Nov 01, 2022 n=139343: 1506620826908739203; gr-mfaktc Nov 01, 2022 n=139387: 76653039033857987; gr-mfaktc Nov 01, 2022 n=139387: 4376783573901975947; gr-mfaktc Nov 01, 2022 n=139457: 88280371885189489; gr-mfaktc - Found by Kurt Beschorner Oct 27, 2022 n =7380L: 18083439727099436159112817133086310461; ecm: B1 =43e6; sigma = 2954795763367013 Oct 27, 2022 n=138587: 13456808017227013951; gr-mfaktc Oct 27, 2022 n=138599: 4336913339749953827; gr-mfaktc Oct 27, 2022 n=138661: 4253629350519214951; gr-mfaktc Oct 27, 2022 n=138661: 11518943054098475483; gr-mfaktc - Found by Alfred Eichhorn Oct 21, 2022 n =64877: 58307945412705205493; ecm: B1 = 5e4; sigma = 4058862805750220 - Found by Kurt Beschorner Oct 20, 2022 n = 7595: 53301899984916861489592976390111; ecm: B1 = 1e6; sigma = 2862452422412262 Oct 20, 2022 n=138511: 16639782600533415413; gr-mfaktc - Found by YOYO@home/Scottie McKinley Oct 19, 2022 n = 1290: 46918389192417684252494192977798983971157315180037905073531; ecm: B1 =2.9e9; sigma = 0:15756483711164029501 - Found by Kurt Beschorner Oct 18, 2022 n=138181: 260118541625705071; gr-mfaktc Oct 18, 2022 n=138251: 128617317085653479; gr-mfaktc Oct 18, 2022 n=138389: 377328885591268151; gr-mfaktc - Found by Kurt Beschorner Oct 11, 2022 n=12180L: 2750865191314983385202411742967911795988441; ecm: B1 =11e6; sigma = 0:3511433398072626 - Found by Kurt Beschorner Oct 09, 2022 n = 8613: 36357990161285007949864483; ecm: B1 = 1e6; sigma = 3516630546511552 Oct 09, 2022 n =10414: 161529899335536848415319865023163477; ecm: B1 = 1e6; sigma = 6236160411899970 Oct 09, 2022 n=137597: 139698058612259729; gr-mfaktc Oct 09, 2022 n=137597: 3554455399781350373; gr-mfaktc - Found by Kurt Beschorner Oct 03, 2022 n = 7593: 112887580911050204414751529; ecm: B1 = 1e6; sigma = 0:7734327110386253 Oct 03, 2022 n=136373: 5918722751609848889; gr-mfaktc Oct 03, 2022 n=136537: 987858503096180231; gr-mfaktc Oct 03, 2022 n=136651: 1146491861927584649; gr-mfaktc Oct 03, 2022 n=136733: 107300944919547803; gr-mfaktc - YOYO@home/Boone Oct 01, 2022 n =2580M: 5450116210658743893234594584043237507827598349697948371796539141; ecm: B1 = 29e8; sigma = 0:10511886308721671557 - Found by Kurt Beschorner Sep 25, 2022 n = 6555: 42140277738214794289054869972841; ecm: B1 = 3e6; sigma = 0:4590123871373091 Sep 25, 2022 n=135077: 121039782337620529; gr-mfaktc Sep 25, 2022 n=135101: 1279566313721112199; gr-mfaktc Sep 25, 2022 n=135403: 1650544604703421013; gr-mfaktc Sep 25, 2022 n=135607: 91960517273658083; gr-mfaktc Sep 25, 2022 n=135613: 11597825762132593721; gr-mfaktc Sep 25, 2022 n=135727: 194775127927361213; gr-mfaktc Sep 25, 2022 n=135829: 14363297250027008159; gr-mfaktc Sep 25, 2022 n=135859: 1812264618772038373; gr-mfaktc Sep 25, 2022 n=136069: 16826617683300406043; gr-mfaktc Sep 25, 2022 n=136207: 354088341024477281; gr-mfaktc Sep 25, 2022 n=136327: 6515905459906372403; gr-mfaktc - Found by Sam Wagstaff Sep 19, 2022 n = 878: 3127889058329352843751138723028784195008863188510913210373 * 3758889450......P303 - Found by Alfred Eichhorn Sep 13, 2022 n =64499: 19863776914146324936308159 * 5593654801......c64473; ecm: B1 = 5e4; sigma = 8249463174429580 - Found by Kurt Beschorner Sep 12, 2022 n = 6555: 7704748191989680635586430551; ecm: B1 = 3e6; sigma = 1974080013846066 Sep 12, 2022 n = 8841: 594464132403304317895457070078890067883; ecm: B1 = 1e6; sigma = 0:2101783093505696 Sep 12, 2022 n=133723: 5804457150257817787; gr-mfaktc Sep 12, 2022 n=134047: 2215727822061991957; gr-mfaktc - Found by Yousuke Koide Sep 10, 2022 n = 892: 6159486985016013075067913427429040588111855293215481915322769; ecm: B1 = 3e8; sigma = 2:10607718275885008793 - Found by Kurt Beschorner Sep 08, 2022 n=132409: 1024647272668872173; gr-mfaktc Sep 08, 2022 n=132971: 10322025968955497639; gr-mfaktc Sep 08, 2022 n=133153: 136805032698890161; gr-mfaktc Sep 08, 2022 n=133153: 4747388624163033049; gr-mfaktc Sep 08, 2022 n=133387: 5705798022619207883; gr-mfaktc Sep 08, 2022 n=133543: 665876485045228627; gr-mfaktc
ECM efforts | |
---|---|
with Rn: 1 < n < 2000 (Jan 08, 2023) | with Rn: 1999 < n < 3000 (Dec 15, 2022) |
with Rn: 2999 < n < 4000 (Dec 19, 2022) | with Rn: 3999 < n < 5000 (Dec 15, 2022) |
with Rn: 4999 < n < 6000 (Jan 04, 2023) | with Rn: 5999 < n < 7000 (Dec 15, 2022) |
with Rn: 6999 < n < 8000 (Dec 22, 2022) | with Rn: 7999 < n < 9000 (Jan 08, 2023) |
with Rn: 8999 < n <10000 (Jan 04, 2023) | with Rn: 9999 < n <11000 (Dec 15, 2022) |
with Rn: 10999 < n <12000 (Dec 15, 2022) | with Rn: 11999 < n <14980L/M (Dec 15, 2022) |
currently ECM-efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|
B1 = 11e7/17500 curves/ numbers < 751 digits |
617 in progress |
619 in progress |
625 in progress |
629 in progress |
641 in progress |
B1 = 26e7/45000 curves/ numbers < 450 digits |
645 in progress |
1136 in progress |
1160 in progress |
1254 in progress |
.... in progress |
B1 = 85e7/70000 curves/ numbers < 400 digits |
645 in progress |
1056 in progress |
1086 in progress |
1254 in progress |
1386 in progress |
B1 = 29e8/nnnn curves/ numbers < 400 digits |
537 in progress |
567 in progress |
609 in progress |
1104 in progress |
2940M in progress |
Factorizations | |
---|---|
Repunits: R1 - R2500 (Jan 08, 2023) | Repunits: R2501 - R5000 (Oct 01, 2022) |
Repunits: R5001 - R7500 (Dec 19, 2022) | Repunits: R7501 - R10000 (Nov 20, 2022) |
Repunits: R10001 - R12500 (Oct 11, 2022) | Repunits: R12501 - R14980L/M (Sep 19, 2020) |
Exponent | Primes/PRP found by ... |
- 10ˆ20 | R19 = prime |
- 10ˆ100 | R23 = prime |
- 10ˆ1000 | R317 = prime |
- 10ˆ10000 | R1031 = prime WD (Dec 1985) |
- 10ˆ50000 | R49081 = prime 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) |
- 10ˆ7500000 | R5794777 = PRP S. Batalov - Ryan Propper (Apr 2021) |
- 10ˆ10000000 | R8177207 = PRP S. Batalov - Ryan Propper (May 2021) |