- Last update: Jun 27, 2022
- Found by Kurt Beschorner
Jun 27, 2022 n=123259: 138081669688947203; gr-mfaktc
Jun 27, 2022 n=123307: 3522389340728868067; gr-mfaktc
Jun 27, 2022 n=123341: 7611397617926757689; gr-mfaktc
Jun 27, 2022 n=123407: 77377648499541413; gr-mfaktc
Jun 27, 2022 n=123601: 117358480984956947; gr-mfaktc
Jun 27, 2022 n=123677: 105106345750844117; gr-mfaktc
Jun 27, 2022 n=123701: 1412589819155622493; gr-mfaktc
- Found by Kurt Beschorner
Jun 21, 2022 n =4700L: 45356719338814489536408951887817301; ecm: B1 =43e6; sigma = 1704111251554519
Jun 21, 2022 n=122393: 3453423798333215723; gr-mfaktc
Jun 21, 2022 n=122443: 461044996951660733; gr-mfaktc
Jun 21, 2022 n=122761: 14178079314053879843; gr-mfaktc
Jun 21, 2022 n=122827: 92605585260518597; gr-mfaktc
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Jun 21, 2022 R1340L/c265: SNFS-difficult = 268; degree 8
494M unique r. relations and 538M unique ideals are collected
currently progress 69 %;
- Found by Kurt Beschorner
Jun 17, 2022 n =12038: 5249732671244525229278815957352881; ecm: B1 = 1e6; sigma = 0:7712952776091375
Jun 17, 2022 n=122011: 3091937545068030959; gr-mfaktc
Jun 17, 2022 n=122081: 180567753811428757; gr-mfaktc
- Found by Alfred Eichhorn
Jun 13, 2022 n =46573: 46225394782451108877144597271; ecm: B1 = 5e4; sigma = 3273871842688952
Jun 13, 2022 n =81359: 591617717027016191003599; ecm: B1 = 5e4; sigma = 2233894346486827
Jun 13, 2022 n =81421: 273050887479607951819307; ecm: B1 = 5e4; sigma = 3740024001393635
Jun 13, 2022 n =81509: 24022214710361586369320083; ecm: B1 = 5e4; sigma = 5954467701967165
- Found by Kurt Beschorner
Jun 13, 2022 n =50089: 1123778700521220813695237; ecm: B1 =25e4; sigma = 0:7418723949217218
Jun 13, 2022 n =50091: 352153516456022723123923; ecm: B1 =25e4; sigma = 0:7343133892651212
Jun 13, 2022 n=121157: 289963297111654519; gr-mfaktc
Jun 13, 2022 n=121487: 113266201861047173; gr-mfaktc
Jun 13, 2022 n=121501: 6817997072029161209; gr-mfaktc
- Found by Sam Wagstaff
May 27, 2022 n =1780L: 7660395383708237627973789216434577857253936548886784731800803873631881; ecm: B1 =22e8; sigma = 1:532322200
- Found by Kurt Beschorner
Jun 07, 2022 n=119723: 16029261086411541667; gr-mfaktc
Jun 07, 2022 n=119981: 134659098042339929; gr-mfaktc
Jun 07, 2022 n=120011: 72235142882804039; gr-mfaktc
Jun 07, 2022 n=120223: 3593139386032985123; gr-mfaktc
Jun 07, 2022 n=120349: 1339890396898864387; gr-mfaktc
Jun 07, 2022 n=120539: 6598223271524054921; gr-mfaktc
Jun 07, 2022 n=120739: 2864131139469349201; gr-mfaktc
- Found by Kurt Beschorner
May 30, 2022 n=118081: 409924485675218119; gr-mfaktc
May 30, 2022 n=118787: 1453558106158132679; gr-mfaktc
May 30, 2022 n=119099: 1484474627262151277; gr-mfaktc
May 30, 2022 n=119363: 8618449548915348929; gr-mfaktc
May 30, 2022 n=119419: 73384391452754867; gr-mfaktc
May 30, 2022 n=119447: 230571158344992599; gr-mfaktc
May 30, 2022 n=119549: 6726593772867620467; gr-mfaktc
May 30, 2022 n=119633: 2375307680670946631; gr-mfaktc
- Found by Alfred Eichhorn
May 28, 2022 n =46153: 53823681238932630531997; ecm: B1 = 5e4; sigma = 2774199055649663
May 28, 2022 n =81173: 4544854780120414167656597; ecm: B1 = 5e4; sigma = 6484780220008802
- Found by Kurt Beschorner
May 19, 2022 n =11176: 8864340352444583393805312185281; ecm: B1 = 1e6; sigma = 0:7739221409077085
May 19, 2022 n=117373: 15970680274980387493; gr-mfaktc
May 19, 2022 n=117503: 6815122939922071721; gr-mfaktc
May 19, 2022 n=117911: 74946032021733809; gr-mfaktc
May 19, 2022 n=117911: 178224635229444787; gr-mfaktc
- Found by Kurt Beschorner
May 14, 2022 n =10102: 2264134357087878518383067539; ecm: B1 = 1e6; sigma = 0:6192617428100729
May 14, 2022 n =50075: 2245485278512778686151; ecm: B1 =25e4; sigma = 6790109589502313
May 14, 2022 n =50089: 2187447775344942718973; ecm: B1 =25e4; sigma = 1521200596419729
May 14, 2022 n=116359: 1219389300710971471; gr-mfaktc
May 14, 2022 n=116483: 229410768832595569; gr-mfaktc
May 14, 2022 n=116639: 336584201879544209; gr-mfaktc
May 14, 2022 n=117133: 2360667724552247359; gr-mfaktc
May 06, 2022 n = 646: 298705372736554351789156294144090138390916509553983003911433879637774413; SNFS
- SNFS-difficult = 324
- SNFS-degree = 6
- skew 1.47, size 7.314e-16, alpha 1.507, combined = 4.122e-16 rroots = 0
- 1478071230 relations and 1224198207 unique ideals
- matrix: 89374447 x 89374624 (45160.2 MB) with weight 12899020426 (144.33/col)
- details: https://escatter11.fullerton.edu/nfs/numbers.php
congratulations!
- Found by Kurt Beschorner
May 06, 2022 n =60547: 409896670397756192083; ecm: B1 = 5e4; sigma = 8502195504310877
May 06, 2022 n=115631: 5485705253601321907; gr-mfaktc
May 06, 2022 n=115861: 268547348251027987; gr-mfaktc
May 06, 2022 n=116041: 527472710527941599; gr-mfaktc
- Found by Kurt Beschorner
Apr 30, 2022 n = 1441: 1314434306697830924275628881502710792058563; ecm: B1 =11e6; sigma = 0:281840436550688
Apr 30, 2022 n =50063: 4102384153439750219081587; ecm: B1 =25e4; sigma = 0:6244918942670668
- Found by Alfred Eichhorn
Apr 29, 2022 n =45989: 660056492305443457540399 * 1683357597......c45965; ecm: B1 = 5e4; sigma = 7793369107252965
Apr 29, 2022 n =80911: 4885219645269106864075111 * 2274434297......c80886; ecm: B1 = 5e4; sigma = 4865999027539681
- Found by Kurt Beschorner
Apr 26, 2022 n =50061: 20631292838324832743226551317; ecm: B1 =25e4; sigma = 0:6326572938999362
Apr 26, 2022 n=113489: 6294021289926306917; gr-mfaktc
Apr 26, 2022 n=113779: 104544335152862999; gr-mfaktc
Apr 26, 2022 n=113963: 6129976650930936107; gr-mfaktc
Apr 26, 2022 n=114193: 447099731123899643; gr-mfaktc
Apr 26, 2022 n=114547: 896705230860005471; gr-mfaktc
Apr 26, 2022 n=114641: 5661704334072995053; gr-mfaktc
- Found by Samuel Wagstaff
Apr 24, 2022 n = 718: 2731764846587782091546914066524656594612608438032609803989298453; ecm
- Found by NFS@home
Apr 19, 2022 n = 323: 1000889286725563474405662045911093540900908710082344227506919162972107; SNFS
Apr 19, 2022 n = 323: 2024740873938190513425266673474911634048354422503451267887726938473483; SNFS
- SNFS-degree = 6
- skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2
- 1558078549 r. relations and 1233362732 unique ideals
- matrix: 82609756 x 82609935 (41687.6 MB) with weight 11917189430 (144.26/col)
- details: https://escatter11.fullerton.edu/nfs/numbers.php
congratulations!
- Found by Kurt Beschorner
Apr 18, 2022 n=112913: 651336694612007893; gr-mfaktc
Apr 18, 2022 n=112919: 10013202845099079641; gr-mfaktc
Apr 18, 2022 n=113039: 800729930567911831; gr-mfaktc
Apr 18, 2022 n=113363: 611462127682645093; gr-mfaktc
Apr 18, 2022 n=113453: 1666342390868100431; gr-mfaktc
- Found by Alfred Eichhorn
Apr 15, 2022 n= 45691: 116408718433083077382079 * 9544913182......c45667; ecm: B1 = 5e4; sigma = 1929643248636331
Apr 15, 2022 n= 63097: 1182703041481644252705761 * 9394675350......c63072; ecm: B1 = 5e4; sigma = 8537965496336827
Apr 15, 2022 n= 80761: 10954906902597028057655279 * 1014258834......c80736; ecm: B1 = 5e4; sigma = 3090792250112772
- Yousuke Koide
Apr 12, 2022 n = 852: 791145568078856137872408096636314622331869565265096415358925771275309; SNFS
Apr 12, 2022 n = 852: 843407644889588409015473024758866665298118138956929263554289382634028509255935457469; SNFS
- Found by Kurt Beschorner
Apr 12, 2022 n=111949: 2904985885984274921; gr-mfaktc
Apr 12, 2022 n=112061: 94854068032024601; gr-mfaktc
Apr 12, 2022 n=112139: 15710755567820525071; gr-mfaktc
Apr 12, 2022 n=112213: 165002069869703387; gr-mfaktc
Apr 12, 2022 n=112237: 8861377526042820587; gr-mfaktc
Apr 12, 2022 n=112583: 952635577911225563; gr-mfaktc
- Found by Kurt Beschorner
Apr 04, 2022 n = 1293: 81462499223765124189973519762431164923148551627; ecm: B1 =43e6; sigma = 0:5078991612991630
Apr 04, 2022 n = 6435: 804151036122815034947264401; ecm: B1 = 3e6; sigma = 2862599954684006
Apr 04, 2022 n =50045: 77188137237745562881 * 1004465726...c39971; ecm: B1 =25e4; sigma = 3490032384743785
Apr 04, 2022 n=110569: 790019899718817049; gr-mfaktc
Apr 04, 2022 n=111337: 13491324392167301893; gr-mfaktc
- Found by Alfred Eichhorn
Mar 31, 2022 n =80537: 98997936620816701558631 * 1122357848......c80514; ecm: B1 = 5e4; sigma = 3459219771074912
Mar 31, 2022 n =80567: 237614342335310020762441 * 4676111299......c80543; ecm: B1 = 5e4; sigma = 6517012485133803
- Found by Kurt Beschorner
Mar 29, 2022 n = 2773: 399155678597075993642585721855751; ecm: B1 = 3e6; sigma = 0:1761429257841097
Mar 29, 2022 n = 2773: 619324111616350475702975927728595284601; ecm: B1 = 3e6; sigma = 0:8238301661507597
Mar 29, 2022 n=110221: 5850281131860729997; gr-mfaktc
Mar 29, 2022 n=110563: 198916074227483203; gr-mfaktc
- Found by Kurt Beschorner
Mar 24, 2022 n = 2773: 1954284136265233470908751563083; ecm: B1 = 3e6; sigma = 8275802607864457
Mar 24, 2022 n=109859: 13188872879181827987; gr-mfaktc
- Found by Paul Underwood
Mar 21, 2022 n =49081 is definitely prime
see: Mersenneforum.org/Math Stuff/Computer Science/Computational Number Theory/new ECPP record/post #35
congratulations!
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Jun 08, 2022) | with Rn: 1999 < n < 3000 (Jun 13, 2022) |
| with Rn: 2999 < n < 4000 (Apr 24, 2022) | with Rn: 3999 < n < 5000 (Jun 21, 2022) |
| with Rn: 4999 < n < 6000 (Jun 13, 2022) | with Rn: 5999 < n < 7000 (May 19, 2022) |
| with Rn: 6999 < n < 8000 (May 28, 2022) | with Rn: 7999 < n < 9000 (Jun 17, 2022) |
| with Rn: 8999 < n <10000 (May 06, 2022) | with Rn: 9999 < n <11000 (Jun 21, 2022) |
| with Rn: 10999 < n <12000 (Jun 13, 2022) | with Rn: 11999 < n <14980L/M (Jun 17, 2022) |
| currently ECM-efforts by yoyo@home: ecm-curves | |||||
|---|---|---|---|---|---|
| B1 = 11e7/17500 curves/ numbers < 751 digits |
611 working |
617 working |
619 working |
625 working |
641 working |
| B1 = 26e7/45000 curves/ numbers < 450 digits |
475 working |
567 working |
645 working |
1136 working |
1160 working |
| B1 = 85e7/70000 curves/ numbers < 400 digits |
609 working |
1080 working |
1176 working |
1470 working |
.... .... |
| B1 = 29e8/nnnn curves/ numbers < 400 digits |
1134 working |
1155 working |
1320 working |
2460M working |
2820M working |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (May 08, 2022) | Repunits: R2501 - R5000 (Jun 21, 2022) |
| Repunits: R5001 - R7500 (Apr 04, 2022) | Repunits: R7501 - R10000 (Feb 27, 2022) |
| Repunits: R10001 - R12500 (Jun 17, 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) |