- Last update: Aug 17, 2022
- Found by Alfred Eichhorn
Aug 17, 2022 n =46997: 113175953490663133273888933 * 9817554673......c46970; ecm: B1 = 5e4; sigma = 5607928389575783
Aug 17, 2022 n =82483: 1795716550338982195640129 * 3060339309......c82436; ecm: B1 = 5e4; sigma = 8509871448674776
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Aug 17, 2022 R1340L/c265: SNFS-difficult = 268; degree 8
568M unique r. relations and 562M unique ideals are collected
currently progress 79 %;
- Found by Kurt Beschorner
Aug 13, 2022 n = 5311: 426181508882040099180570908153689; ecm: B1 = 1e6; sigma = 4811743559501154
Aug 13, 2022 n=130363: 1506139996811359667; gr-mfaktc
Aug 13, 2022 n=130531: 17208150406300826009; gr-mfaktc
Aug 13, 2022 n=130873: 6266849542838449667; gr-mfaktc
- Found by Kurt Beschorner
Aug 06, 2022 n=129113: 1224181268756132441; gr-mfaktc
Aug 06, 2022 n=129401: 4010264049806196253; gr-mfaktc
Aug 06, 2022 n=129497: 14008139847643280267; gr-mfaktc
Aug 06, 2022 n=129917: 112833716872069013; gr-mfaktc
Aug 06, 2022 n=130021: 446857943777814827; gr-mfaktc
Aug 06, 2022 n=130043: 138190955281021609; gr-mfaktc
Aug 06, 2022 n=130099: 1318521172210868599; gr-mfaktc
- Found by Kurt Beschorner
Jul 30, 2022 n = 6279: 11410286542095251356695919014798215209; ecm: B1 = 3e6; sigma = 0:3680840401684413
Jul 30, 2022 n=128903: 534075966511610693; gr-mfaktc
Jul 30, 2022 n=128959: 4681928849630741707; gr-mfaktc
Jul 30, 2022 n=128993: 116129754627041201; gr-mfaktc
- Found by Kurt Beschorner
Jul 29, 2022 n = 5473: 1307142018775417051488486551; ecm: B1 = 1e6; sigma = 0:6264506291694973
Jul 29, 2022 n=128021: 432022553418757013; gr-mfaktc
Jul 29, 2022 n=128591: 1720450900083150959; gr-mfaktc
Jul 29, 2022 n=128663: 311963829483302401; gr-mfaktc
Jul 29, 2022 n=128819: 286102055216622751; gr-mfaktc
- Found by Makoto Kamada
Jul 28, 2022 n=149401: is probable prime; length: 128003 digits
- Found by Kurt Beschorner
Jul 22, 2022 n = 6195: 545580401705761895030586938911; ecm: B1 = 3e6; sigma = 3700842710804836
Jul 22, 2022 n =50097: 3623943703785414020081995009; ecm: B1 =25e4; sigma = 0:1490915758377029
Jul 22, 2022 n=127487: 216217623431069563; gr-mfaktc
Jul 22, 2022 n=127487: 8772072614765426963; gr-mfaktc
Jul 22, 2022 n=127591: 96284250110795639; gr-mfaktc
- Found by Alfred Eichhorn
Jul 21, 2022 n =82219: 3426743053976309972144323 * 3242469871......c82194; ecm: B1 = 5e4; sigma = 238330239553817
Jul 21, 2022 n =82241: 305516594796838230758933 * 3636827360......c82217; ecm: B1 = 5e4; sigma = 6454317885563619
- Found by Kurt Beschorner
Jul 19, 2022 n=125659: 326562852496180759; gr-mfaktc
Jul 19, 2022 n=126013: 478958691016429969; gr-mfaktc
Jul 19, 2022 n=126131: 1370100046835287237; gr-mfaktc
Jul 19, 2022 n=126227: 438384021980410679; gr-mfaktc
Jul 19, 2022 n=126457: 2300778768848473787; gr-mfaktc
- Found by Kurt Beschorner
Jul 11, 2022 n =10042: 913718899145162450473918365995735799984619; ecm: B1 = 1e6; sigma = 0:5125127886895840
- Found by Alfred Eichhorn
Jul 06, 2022 n =63853: 33689024059941909083011747; ecm: B1 = 5e4; sigma = 5132833866279460
- Found by Kurt Beschorner
Jul 06, 2022 n=124529: 875365247048271359; gr-mfaktc
Jul 06, 2022 n=124703: 294551416955713471; gr-mfaktc
Jul 06, 2022 n=125017: 12281096112324010729; gr-mfaktc
Jul 06, 2022 n=125029: 1117445127097070489; gr-mfaktc
Jul 06, 2022 n=125063: 230816510591286437; gr-mfaktc
Jul 06, 2022 n=125113: 6038014320737169637; gr-mfaktc
- Found by Kurt Beschorner
Jul 01, 2022 n = 9495: 204550078006730391999477563521; ecm: B1 = 1e6; sigma = 7692386312127836
Jul 01, 2022 n=123737: 446760762463449067; gr-mfaktc
Jul 01, 2022 n=123737: 8134329321836665627; gr-mfaktc
Jul 01, 2022 n=123979: 177570995573249893; gr-mfaktc
Jul 01, 2022 n=124171: 6370912188660140399; gr-mfaktc
- 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
- 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
- Found by NFS@home
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
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Aug 13, 2022) | with Rn: 1999 < n < 3000 (Jul 19, 2022) |
| with Rn: 2999 < n < 4000 (Aug 13, 2022) | with Rn: 3999 < n < 5000 (Aug 13, 2022) |
| with Rn: 4999 < n < 6000 (Aug 16, 2022) | with Rn: 5999 < n < 7000 (Aug 16, 2022) |
| with Rn: 6999 < n < 8000 (Aug 13, 2022) | with Rn: 7999 < n < 9000 (Aug 13, 2022) |
| with Rn: 8999 < n <10000 (Jul 11, 2022) | with Rn: 9999 < n <11000 (Aug 06, 2022) |
| with Rn: 10999 < n <12000 (Jul 06, 2022) | with Rn: 11999 < n <14980L/M (Aug 13, 2022) |
| currently ECM-efforts by yoyo@home: ecm-curves | |||||
|---|---|---|---|---|---|
| B1 = 11e7/17500 curves/ numbers < 751 digits |
611 in progress |
617 in progress |
619 in progress |
625 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 |
573 in progress |
645 in progress |
1086 in progress |
1254 in progress |
1386 in progress |
| B1 = 29e8/nnnn curves/ numbers < 400 digits |
567 in progress |
609 in progress |
1080 in progress |
1134 in progress |
1290 in progress |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (May 08, 2022) | Repunits: R2501 - R5000 (Jun 21, 2022) |
| Repunits: R5001 - R7500 (Aug 13, 2022) | Repunits: R7501 - R10000 (Jul 01, 2022) |
| Repunits: R10001 - R12500 (Jul 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) |