mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > Wagstaff PRP Search

Reply
 
Thread Tools
Old 2019-08-16, 07:40   #331
axn
 
axn's Avatar
 
Jun 2003

123D16 Posts
Default 133k-134k

Code:
2^133087+1 = 453329102262294084723811
2^133109+1 = 3351248134854989099561
2^133109+1 = 36736921530912909763
2^133121+1 = 104201581276589219755481
2^133153+1 = 330553571607227777
2^133283+1 = 3549308659841553779607377
2^133283+1 = 7682849126487918604777
2^133319+1 = 250385176098144673
2^133319+1 = 4829643637184032939
2^133387+1 = 6342848219618436741377
2^133417+1 = 400313097624860129151977
2^133439+1 = 543243902132295186407161
2^133451+1 = 1612955449488790027
2^133481+1 = 99391448451815168641
2^133543+1 = 18663661033020198715202993
2^133543+1 = 36147461494085054457910529
2^133583+1 = 35456297117032534187
2^133649+1 = 49522392533768721059
2^133669+1 = 1114178544553122193
2^133709+1 = 719007773784874667
2^133831+1 = 151360784493193073
2^133843+1 = 1602938397236867909251339
2^133843+1 = 264072449460645848369
2^133853+1 = 41882464188467210441624291
2^133873+1 = 94516718399025953
2^133877+1 = 13538203739965294014649
2^133949+1 = 276349827110954772712561
2^133963+1 = 149899857045836076961
2^133993+1 = 54661018474564521924097
2^133999+1 = 136699326402532043
2^133999+1 = 83173639538609169883
axn is offline   Reply With Quote
Old 2019-08-31, 13:38   #332
axn
 
axn's Avatar
 
Jun 2003

7×23×29 Posts
Default 134k-135k

Code:
2^134047+1 = 458551050120241153
2^134053+1 = 27938326875565281641
2^134089+1 = 66344718054731194051
2^134089+1 = 92566509206414883037797577
2^134161+1 = 7886156762440588666577
2^134171+1 = 266530723582396614123473
2^134257+1 = 197415670685852491
2^134257+1 = 3165550681360518348419
2^134263+1 = 53318470364671215113
2^134269+1 = 128604613958729177
2^134339+1 = 406367116822645339
2^134399+1 = 1463074782954436535969
2^134399+1 = 388878093712809981717990841
2^134437+1 = 167164161088501937267521
2^134591+1 = 271039207452607646489219
2^134591+1 = 405747390664898489
2^134593+1 = 41855356193894704121
2^134677+1 = 593955502467205138859
2^134681+1 = 63836537872015054200411956411
2^134731+1 = 20152946935171133641
2^134807+1 = 1415822143214064270259
2^134807+1 = 1738726745448518513
2^134837+1 = 3237446683991379428879923
2^134837+1 = 445780390413190969009
2^134873+1 = 1458440525691571848850219
2^134873+1 = 205758686362155200584964723
2^134909+1 = 413735673912308929
axn is offline   Reply With Quote
Old 2019-09-14, 11:33   #333
axn
 
axn's Avatar
 
Jun 2003

7×23×29 Posts
Default 135k-136k

Code:
2^135043+1 = 123303916692400034900377
2^135043+1 = 46932312558114182811329
2^135049+1 = 951114340402710131
2^135089+1 = 198042930307632426296689
2^135101+1 = 88923883105222936307
2^135277+1 = 13844776221479612391359371
2^135277+1 = 679855536257354497
2^135329+1 = 88819179686681454611
2^135353+1 = 539390878052607511081
2^135367+1 = 1424221120037978369
2^135403+1 = 404374137201466757974720371218930399789339
2^135409+1 = 10075388732614430321
2^135467+1 = 3048199543152586499
2^135497+1 = 4087170515698284803
2^135497+1 = 59754231852741041281
2^135533+1 = 64503922863684527202961
2^135581+1 = 1637695521606285073
2^135593+1 = 2477273653317372437085403
2^135607+1 = 2317576572399241082939
2^135607+1 = 45893256909212164394587537
2^135617+1 = 226425059354163492883
2^135617+1 = 6828708088740832339
2^135623+1 = 5408603765659842193
2^135647+1 = 5025057265217846077583569228961
2^135649+1 = 11312844108831608873
2^135649+1 = 2021824423274156793806011
2^135661+1 = 714971474894103017
2^135719+1 = 960126630499930509804401
2^135727+1 = 468768835964743987
2^135757+1 = 6036810497331614963
2^135781+1 = 511534316793850921222153
2^135787+1 = 4158839988816074835153523
2^135829+1 = 276641211647482515499
2^135851+1 = 37648782586804124475299761843528048620693787079441528872193
2^135851+1 = 9912215698640939767969
2^135851+1 = 991795322102135777
2^135893+1 = 176202089257358120329
2^135913+1 = 1007816287916049673
2^135913+1 = 166555091819125207118299
2^135977+1 = 63277326542273164817
axn is offline   Reply With Quote
Old 2019-09-29, 02:05   #334
axn
 
axn's Avatar
 
Jun 2003

123D16 Posts
Default 136k-137k

Code:
2^136027+1 = 3027599141758609819
2^136043+1 = 325842482373398219
2^136139+1 = 951503412092958217915913
2^136189+1 = 11563589698961263993
2^136189+1 = 959641937031951347
2^136193+1 = 37733407716702752009
2^136303+1 = 23265971948486843561
2^136303+1 = 3580357798007590183217
2^136319+1 = 82470779166238979216473
2^136397+1 = 144776139445280228105641
2^136453+1 = 156711957441178049
2^136453+1 = 474287986813848073609
2^136541+1 = 8476499283711862241
2^136603+1 = 15402453301791689027
2^136651+1 = 192707313094821563
2^136693+1 = 1044830121654814211
2^136727+1 = 109985911945908882195547
2^136753+1 = 17817248396750009861539618273
2^136753+1 = 29847412617949680673
2^136813+1 = 2413491717791990987
2^136841+1 = 303916128847568363717659
2^136849+1 = 1009138986256845482763787
2^136849+1 = 36274808869332645467
2^136861+1 = 230307114859192177
2^136889+1 = 13199868500333955928121
2^136889+1 = 149116525235882371
2^136889+1 = 947513007463808816916433
2^136897+1 = 278362767808056634481
2^136949+1 = 725457158703046706530409
2^136951+1 = 206772060714324753397681
2^136963+1 = 5027181616178147347
2^136979+1 = 983224043380450049
2^136991+1 = 13724303468553156379
2^136993+1 = 288960060670846541203
Taking a temporary break.
axn is offline   Reply With Quote
Old 2019-09-30, 04:05   #335
GP2
 
GP2's Avatar
 
Sep 2003

A1316 Posts
Default

Quote:
Originally Posted by axn View Post
Taking a temporary break.
Thanks for all your efforts up to this point.

As always, Wagstaff-related data is available at http://mprime.s3-website.us-west-1.a....com/wagstaff/
GP2 is offline   Reply With Quote
Old 2019-10-10, 21:13   #336
GP2
 
GP2's Avatar
 
Sep 2003

2,579 Posts
Default

2^5743+1 is now fully factored. However, M5743 is not.


Exponents 7417 and 8849 are fully factored as both Mersenne numbers and Wagstaff numbers. Almost a year ago, I wondered if that wasn't a coincidence (click on the > icon below to read the reasoning in the original post).

Quote:
Originally Posted by GP2 View Post
(Click on the > icon to read the original post)
I started doing deeper ECM on Wagstaff exponents under 10k, to try to create new cases where the same exponent was fully factored in both cases.

So far I've found 61 new Wagstaff factors for very small exponents, but only two of them resulted in new PRPs: exponents 5261 and just today, 5743. And of course various people including Ryan Propper have been finding new Mersenne factors for very small exponents with much deeper ECM.

But there are still no doubly fully-factored exponents other than 7417 and 8849 (and much smaller exponents where it's hardly unusual for them to be fully factored, the largest of which are 1193, 1279, 1459).
GP2 is offline   Reply With Quote
Old 2019-10-11, 16:13   #337
axn
 
axn's Avatar
 
Jun 2003

7·23·29 Posts
Default

Quote:
Originally Posted by GP2 View Post
2^5743+1 is now fully factored
... and certified.

Congratulations
axn is offline   Reply With Quote
Old 2019-12-04, 13:42   #338
axn
 
axn's Avatar
 
Jun 2003

7×23×29 Posts
Default 137k-138k

Code:
2^137131+1 = 265192503004348610276393
2^137209+1 = 325448681397255884371
2^137219+1 = 2301308500567444738609
2^137239+1 = 9819212986550632433
2^137251+1 = 111839258802768975126521
2^137359+1 = 19692787436755739729
2^137387+1 = 191500409981045273
2^137437+1 = 12424045758414564820272889
2^137437+1 = 140380469176933313
2^137437+1 = 17273129105552341649
2^137437+1 = 3251904111129641131
2^137443+1 = 518201485359944387
2^137447+1 = 40910441205871188257
2^137453+1 = 38617754679653469401
2^137483+1 = 2645734560747394049
2^137491+1 = 11736790270878540543431051
2^137491+1 = 16122173996427013313
2^137507+1 = 536832885187840618448921
2^137567+1 = 5130855963228473
2^137587+1 = 31331429139299
2^137597+1 = 42510106685163097
2^137653+1 = 17966607213001
2^137707+1 = 13370301643695611
2^137707+1 = 592758373181385446377
2^137713+1 = 678116686045697
2^137723+1 = 7452253650510043
2^137771+1 = 721746915583691
2^137827+1 = 10001873225057422727353
2^137831+1 = 1045210024504627
2^137869+1 = 388943275849304602980612139
2^137873+1 = 1762495764078694161203
2^137983+1 = 5306718932989217
2^137993+1 = 15312867978376758099137
There will be some known factors as factordb was not available while preparing the worktodo.
axn is offline   Reply With Quote
Old 2019-12-13, 09:11   #339
axn
 
axn's Avatar
 
Jun 2003

10010001111012 Posts
Default 138k-139k

Code:
2^138007+1 = 10582086549836801291
2^138053+1 = 380792657401641191687521
2^138373+1 = 2610131839658149123475611
2^138403+1 = 5736695208051537601
2^138461+1 = 3207292823618646813155881141259
2^138511+1 = 71883818725201402005731
2^138547+1 = 16766226123181039390883
2^138547+1 = 8635412590464642058939
2^138563+1 = 1552890640069632336467
2^138581+1 = 85040022771016627
2^138599+1 = 118700921877185607716041
2^138629+1 = 2094111627438975931
2^138629+1 = 321906673282915619
2^138647+1 = 28163071861713235384403
2^138661+1 = 52676191348661515790969243
2^138683+1 = 7098795005607261331
2^138793+1 = 30267921156976098993953
2^138797+1 = 814989689103951189023617
2^138799+1 = 144772705260460775784401
2^138841+1 = 1723171067798010113
2^138863+1 = 10906437909197106257

Last fiddled with by axn on 2019-12-13 at 09:11
axn is offline   Reply With Quote
Old 2019-12-28, 06:06   #340
axn
 
axn's Avatar
 
Jun 2003

10010001111012 Posts
Default 139k-140k

Code:
2^139109+1 = 232901527497762293385571
2^139121+1 = 2748135663696293579
2^139123+1 = 144834293192245512587
2^139133+1 = 135249101784022350964739
2^139169+1 = 6833785971336806122647841
2^139273+1 = 403707106206774067
2^139291+1 = 176731201325093882563
2^139303+1 = 21161845438388854327561
2^139333+1 = 3780919371435556323569
2^139393+1 = 41915218600911416707
2^139423+1 = 192692015044480459
2^139423+1 = 7914151425713333513
2^139429+1 = 164938712030987651
2^139457+1 = 1604057597011403803520833
2^139457+1 = 27559316522031652297
2^139483+1 = 16141276954868227553
2^139511+1 = 823522945729052939
2^139547+1 = 168286091283720731
2^139619+1 = 4814315853824769913
2^139661+1 = 22143916187498246166089
2^139663+1 = 3195615102067962988012121
2^139681+1 = 642638717263461947699059
2^139697+1 = 2473244696010346349209
2^139703+1 = 1732287483485125979
2^139709+1 = 80900761562355467
2^139721+1 = 14093748534448965379378753291
2^139729+1 = 425779850240099253523
2^139747+1 = 4435439168292693329
2^139801+1 = 172147453827121182961
2^139837+1 = 133923044162410483
2^139907+1 = 11590132907577462409
2^139907+1 = 2327308434820250857
2^139907+1 = 61337367506195041571
2^139921+1 = 75969755935623092048369
2^139991+1 = 2474496757849085982827
axn is offline   Reply With Quote
Old 2020-01-11, 11:56   #341
axn
 
axn's Avatar
 
Jun 2003

7×23×29 Posts
Default Another t25 on 137k-139k

Code:
2^137147+1 = 28894310756788960796853689
2^137153+1 = 925985372364737241928601
2^137413+1 = 1403935141664544940921627
2^137413+1 = 4443801572645338006979
2^137483+1 = 190159853041802194800331
2^137597+1 = 43987475667364577473063283
2^137633+1 = 2804620285384763160341723
2^137743+1 = 201474912510791815628126963
2^138163+1 = 18292524171995335882906688539169
2^138449+1 = 525002284628826303656299
2^138563+1 = 14262822575931023754694057
2^138577+1 = 248056677547191379189283
2^138599+1 = 14738540602990299961765057
axn is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Testing Mersenne Primes with Elliptic Curves a nicol Math 3 2017-11-15 20:23
New Wagstaff PRP exponents ryanp Wagstaff PRP Search 26 2013-10-18 01:33
Hot tuna! -- a p75 and a p79 by Sam Wagstaff! Batalov GMP-ECM 9 2012-08-24 10:26
Statistical odds for prime in Wagstaff vs Mersenne diep Math 27 2010-01-13 20:18
Speed of P-1 testing vs. Trial Factoring testing eepiccolo Math 6 2006-03-28 20:53

All times are UTC. The time now is 09:45.

Tue Aug 11 09:45:34 UTC 2020 up 25 days, 5:32, 1 user, load averages: 2.01, 1.87, 1.87

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.