- Last update: Mar 30, 2023 - Found by Kurt Beschorner Mar 30, 2023 n = 1409: 1658972136253211819285181026106657071203; ecm: B1 =11e6; sigma = 0:7137899537840100 Mar 30, 2023 n = 7713: 169080936973198939009695188449; ecm: B1 = 1e6; sigma = 8231107386027428 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Mar 30, 2023 R942/c209: SNFS-difficulty = 314 490M unique raw relations of 1250M are collected currently progress 39.2 %;- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Mar 30, 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 57380000 dimensions of 65.7M dim. (87.3%; estimated time of arrival 400 hours) - Found by Kurt Beschorner Mar 26, 2023 n = 5925: 43863025793294149274559220201; ecm: B1 = 3e6; sigma = 4922290324811982 Mar 26, 2023 n =12192: 469162401428727267767039337537134113; P-1: B1 =12e7 - Found by Kurt Beschorner Mar 19, 2023 n =12207: 10326528166018797350437 * 1715045130......c7454; P-1: B1 =25e6 Mar 19, 2023 n =12213: 763235932545359903065517911 * 2819581486......c7565; P-1: B1 =25e6 Mar 19, 2023 n =12235: 601591258998676485551127873393824231 * 2595076444......c9736; P-1: B1 =32e6 Mar 19, 2023 n =12261: 37955669373027254564443249 * 1482911212......c7840; P-1: B1 =40e6 Mar 19, 2023 n =12265: 1813958675305432752569322631 * 4800373524......c8813; P-1: B1 =36e6 Mar 19, 2023 n =12267: 18405350080498464623296129 * 4840124705......c7696; P-1: B1 =47e6 Mar 19, 2023 n =12299: 22125123861628175114991691769399 * 4891881550......c10437; P-1: B1 =28e6 Mar 19, 2023 n=145381: 2814792192994658867 * 2189685857......c145354; gr-mfaktc - Found by Kurt Beschorner Mar 16, 2023 n =12163: 496260125167000972637979481 * 6088164284......c12112; P-1: B1 =25e6 Mar 16, 2023 n =12197: 10004791369113378925808671 * 1125672810......c12139; P-1: B1 =25e6 - via factordb.com Mar 16, 2023 n =12124: 2139064861096863878756665012801 * 4721689455......c5154 - Found by Kurt Beschorner Mar 11, 2023 n = 7671: 674395585663400091968059519; ecm: B1 = 1e6; sigma = 3409682457607698 Mar 11, 2023 n =12032: 92983911220947001823535969927169 * 4585704060......c5799; P-1: B1 =60e6 Mar 11, 2023 n =12049: 3372749981360027032747859544183787 * 2578564574......c12005; P-1: B1 =20e6 Mar 11, 2023 n =12067: 89906797410807096964226575517 * 7161228750......c10898; P-1: B1 =25e6 Mar 11, 2023 n =12281: 248827112460081163452938551 * 4465394064......c12254; P-1: B1 =25e6 - Found by Kurt Beschorner Mar 07, 2023 n = 5477: 4679405672910425988720134731403; ecm: B1 = 1e6; sigma = 0:3115122745024891 Mar 07, 2023 n = 5479: 1175364770706692672051045921; ecm: B1 = 1e6; sigma = 0:1144629584039427 Mar 07, 2023 n =12520: 4068220734739164961413104154881 * 1710302891......c4952; P-1: B1 =60e6 Mar 07, 2023 n =12521: 769774332048986028482292393529 * 1169173824......c11815; P-1: B1 =22e6 Mar 07, 2023 n=144379: 1699316036580040519; gr-mfaktc Mar 07, 2023 n=144427: 763086575042246237; gr-mfaktc - Found by anonymous Mar 02, 2023 n = 535: 5524033451004407234027306056468463430580799351; ecm: B1 =11e6; sigma = 18425523954857577889 - Found by Kurt Beschorner Feb 27, 2023 n = 1401: 58268747277891114808753379164057926641266957; ecm: B1 =43e6; sigma = 0:6490871995892487 Feb 27, 2023 n = 5443: 443994631081204304270374441813; ecm: B1 = 1e6; sigma = 0:5948351044689566 Feb 27, 2023 n=144259: 76455980665279759; gr-mfaktc Feb 27, 2023 n=144323: 172755778190621357; gr-mfaktc - Found by Alfred Eichhorn Feb 27, 2023 n =66067: 170472935791113746723 * 6517815311......c66046; ecm: B1 = 5e4; sigma = 3477637411662594 - Found by Kurt Beschorner Feb 21, 2023 n =4700L: 11808992310281998733369892724417205617004114801; ecm: B1 =43e6; sigma = 0:7170719374266148 - Found by YOYO@home/George Bradshaw Feb 20, 2023 n =2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 * 1142522103......P220; ecm: B1 = 2.9e9 Feb 19, 2023 n = 5539: 1893231723717766314342428938609; ecm: B1 = 1e6; sigma = 0:7066187404725017 Feb 19, 2023 n=143981: 2321713302266455397; gr-mfaktc - Found by Alfred Eichhorn Feb 13, 2023 n =85661: 6614343997747250116357 * 5117655327......c85621; ecm: B1 = 5e4; sigma = 6480425124612577 Feb 13, 2023 n =85717: 425606074726924486880292881 * 2610656137......c85690; ecm: B1 = 5e4; sigma = 3051452821892657 - Found by Kurt Beschorner Feb 13, 2023 n=143791: 1345704687193284449; gr-mfaktc Feb 13, 2023 n=143873: 13969422389289652231; gr-mfaktc - Found by Kurt Beschorner Feb 06, 2023 n = 5393: 475100434323400295514257533; ecm: B1 = 1e6; sigma = 0:6611271429378146 Feb 06, 2023 n=143413: 1308539818288185547; gr-mfaktc - Found by Kurt Beschorner Jan 27, 2023 n = 5387: 9695327619043500745964526925561 * 2796548747......P5266; ecm: B1 = 1e6; sigma = 0:7981023013264326 - Found by Kurt Beschorner Jan 22, 2023 n = 6515: 3767892910446507496334403721; ecm: B1 = 1e6; sigma = 3731867255296034 Jan 22, 2023 n=143159: 2036663968824321689; gr-mfaktc - Found by Alfred Eichhorn Jan 22, 2023 n =48767: 1167442730202131101408241; ecm: B1 = 5e4; sigma = 8294335290315311 Jan 22, 2023 n =48809: 1374219663422487935701343573; ecm: B1 = 5e4; sigma = 3897725353774069 Jan 22, 2023 n =65701: 119577379525448930631404597329; ecm: B1 = 5e4; sigma = 2055672717664719 - via factordb.com Jan 22, 2023 n =10216: 5409058353794643031157855569; ecm - Found by YOYO@home/user69 Jan 14, 2023 n = 1104: 22651858853653655359251914860948647902217772389947313979551649; ecm: B1 = 29e8; sigma = 0:17929758445905874757 - Found by Kurt Beschorner 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 - 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 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
ECM efforts | |
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with Rn: 1 < n < 2000 (Mar 30, 2023) | with Rn: 1999 < n < 3000 (Feb 27, 2023) |
with Rn: 2999 < n < 4000 (Feb 04, 2023) | with Rn: 3999 < n < 5000 (Feb 27, 2023) |
with Rn: 4999 < n < 6000 (Mar 26, 2023) | with Rn: 5999 < n < 7000 (Feb 27, 2023) |
with Rn: 6999 < n < 8000 (Mar 30, 2023) | with Rn: 7999 < n < 9000 (Jan 08, 2023) |
with Rn: 8999 < n <10000 (Mar 16, 2023) | with Rn: 9999 < n <11000 (Mar 16, 2023) |
with Rn: 10999 < n <12000 (Mar 26, 2023) | with Rn: 11999 < n <14980L/M (Mar 30, 2023) |
currently ECM-efforts by yoyo@home: ecm-curves | |||||
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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 |
1218 in progress |
Factorizations | |
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Repunits: R1 - R2500 (Mar 30, 2023) | Repunits: R2501 - R5000 (Feb 27, 2023) |
Repunits: R5001 - R7500 (Mar 26, 2023) | Repunits: R7501 - R10000 (Mar 30, 2023) |
Repunits: R10001 - R12500 (Mar 26, 2023) | Repunits: R12501 - R14980L/M (Feb 27, 2023) |
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) |