[QUOTE=axn;505688][CODE]ECM found a factor in curve #14, stage #2
Sigma=5431437631844099, B1=50000, B2=5000000.
2^70921+1 has a factor: 13578077394426643146204578472443260177 (ECM curve 14, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
So, (2^70921+1)/3 = 709211 · 129478105736831177 · 104867748235555477001 · PRP21306

PS:- The factor reported by ECM is a composite[/QUOTE]

Congrats :toot:

[CODE]time ./pfgw64 -k -f0 -od -q"(2^70921+1)/3/709211/129478105736831177/104867748235555477001" | ../../coding/gwnum/bpsw-2 - 1 2 70921 1

Testing (2*x)^((n + 1)/2) == -2 (mod n, x^2 - 3*x + 1)...
Likely prime!

real 0m3.769s
user 0m3.516s
sys 0m0.016s
[/CODE]

70k-73k
[CODE]2^70003+1 = 5110266574145624579
2^70003+1 = 896833597678441
2^70111+1 = 1180265491056153936403
2^70117+1 = 279482962403759227
2^70117+1 = 33697723113682299015667
2^70141+1 = 299920138022180084729
2^70163+1 = 34265526228873047975057
2^70199+1 = 454502016890176969530521
2^70199+1 = 49318840482668174837633
2^70201+1 = 1356380561692620132139
2^70201+1 = 274666288129809143003851
2^70223+1 = 17439460601328553
2^70223+1 = 345951733956347016881
2^70229+1 = 1122725706073873275211
2^70229+1 = 82974590956195573891
2^70241+1 = 372156790439028011
2^70351+1 = 33857867791342161907
2^70351+1 = 6313353520916681
2^70381+1 = 2623271369586713166333135923
2^70393+1 = 124534404738285233
2^70423+1 = 12950742357330156779297
2^70457+1 = 3248436254405817179
2^70459+1 = 8607763141812137243
2^70481+1 = 146296386890819022521
2^70481+1 = 47513531674629646609184339
2^70487+1 = 201951054670361
2^70501+1 = 115053424405002649
2^70507+1 = 164095487410985669865040129
2^70583+1 = 600367677288334195531
2^70607+1 = 17544336851287339
2^70619+1 = 2125274911179677915401
2^70621+1 = 253527958372359179
2^70621+1 = 261223712920657
2^70657+1 = 17942521611575921
2^70667+1 = 12471891539165590369
2^70667+1 = 43620197649453493095317777
2^70729+1 = 792507477401557768441
2^70783+1 = 23133490082570399236897
2^70849+1 = 937276909663855511848091
2^70853+1 = 5247516826380259
2^70853+1 = 5589615521866348204201
2^70877+1 = 4142709565684654312428257
2^70877+1 = 434570644338177161
2^70913+1 = 1461660300086325289
2^70921+1 = 13578077394426643146204578472443260177
2^70949+1 = 299790695348406931
2^70957+1 = 195635973691337591473571
2^70981+1 = 1583483522335190332913159321
2^70991+1 = 117971152953070837605817
2^70991+1 = 412135661577325348380649
2^71059+1 = 1046308058952890578507566667
2^71081+1 = 364388650710881779
2^71119+1 = 2024933178452803
2^71129+1 = 52258292927304131
2^71167+1 = 606762071556990985774387
2^71233+1 = 1760756218696103094807580417
2^71237+1 = 21562888098741823259
2^71249+1 = 5238253785754748459
2^71261+1 = 956184186639516639169
2^71327+1 = 67999951599326509953894183611
2^71347+1 = 111436417539984836617
2^71347+1 = 1852768715143880838903593
2^71353+1 = 194561717972057
2^71363+1 = 2062972674205001889817043
2^71363+1 = 38047024220326260912601393
2^71363+1 = 432790354967627
2^71413+1 = 2531267927269649
2^71437+1 = 24828554134715899
2^71443+1 = 2504832025843704123617
2^71453+1 = 31456192453120459
2^71453+1 = 54401658810924863088753057961
2^71453+1 = 6536672669330347
2^71471+1 = 109736176273241764412836723
2^71483+1 = 427328601108763816892269318070777
2^71483+1 = 43352540152513507
2^71483+1 = 4913459061310932547
2^71483+1 = 611081402392866239617
2^71503+1 = 250926406039829297
2^71537+1 = 2621587179238278483451
2^71551+1 = 3394508798280572059
2^71551+1 = 846610284415449136956577
2^71647+1 = 647246821748110579
2^71671+1 = 59134417185815036189584153
2^71699+1 = 1958362413057558964307
2^71707+1 = 31321732322514687536321
2^71711+1 = 1231310045832018304615193
2^71713+1 = 195549002915156967611
2^71761+1 = 102369072930096857
2^71777+1 = 2235471590044716239683
2^71807+1 = 5266102833304163
2^71809+1 = 557176123704903291923
2^71837+1 = 553028632342821653611
2^71849+1 = 10670822413993662017
2^71879+1 = 21624413594886763
2^71947+1 = 7515003631085677496846603
2^71983+1 = 869405898791747
2^71987+1 = 8136522786923024427622907
2^71993+1 = 539246385293887840422209
2^71999+1 = 885844882155977
2^72043+1 = 11498443469470316987
2^72073+1 = 307536648204089
2^72089+1 = 6336180428700643
2^72103+1 = 28901614505533513
2^72109+1 = 50722096171331757929
2^72139+1 = 35349785307081481
2^72139+1 = 38884775442774831553723
2^72221+1 = 3757771798143403283
2^72221+1 = 611690817309260113
2^72223+1 = 27183069556563474074123
2^72227+1 = 336078011641543919483
2^72227+1 = 6698838106224427
2^72229+1 = 1016468213982462915041
2^72251+1 = 1846533104027881
2^72277+1 = 2488874425226656590049
2^72313+1 = 1785663146154428449
2^72337+1 = 15728751065904792259512001
2^72367+1 = 1874246984965954120993
2^72383+1 = 32115583242648211807706441
2^72461+1 = 1172213083980455947
2^72493+1 = 1701943071966839443412171
2^72533+1 = 21406792788460907237472553
2^72559+1 = 58812153140666978258483
2^72617+1 = 11785689510923688793
2^72617+1 = 155274779458291
2^72649+1 = 1106905124697532130939
2^72649+1 = 8760528364895783137
2^72671+1 = 86956083911279289420907
2^72679+1 = 1607798507389806280609
2^72689+1 = 341016471336907
2^72689+1 = 811173151724064326699
2^72707+1 = 5869655240511338236320457
2^72707+1 = 9097043404408389337
2^72727+1 = 784123789581946721923
2^72733+1 = 31597502204232857
2^72797+1 = 119585467281987011
2^72823+1 = 7596437583989843
2^72883+1 = 528474900096225059
2^72911+1 = 1306712102806668202179697
2^72911+1 = 143026408339351921822882537
2^72937+1 = 2005299432309097627
2^72949+1 = 7149290644421848787
2^72973+1 = 26725075783343730286405489
2^72977+1 = 678919391705969
2^72997+1 = 297192530908379
2^72997+1 = 8638053444521113[/CODE]

EDIT:- 111111111111[sub]2[/sub] Posts

9.5k-10k to t35
[CODE]2^9859+1 has a factor: 118432065885251221169878802850525217 (ECM curve 1465, B1=1000000, B2=100000000)
2^9839+1 has a factor: 66232443181564293418304837041670731 (ECM curve 51, B1=1000000, B2=100000000)
2^9733+1 has a factor: 24245867458607381298459625015740649 (ECM curve 237, B1=1000000, B2=100000000)
2^9601+1 has a factor: 1397641732031634847364462497989124760089 (ECM curve 760, B1=1000000, B2=100000000)
[/CODE]

73k-77k
[CODE]2^73013+1 = 79132934330362862367643
2^73039+1 = 301735367873813610274190291
2^73039+1 = 94297306689939299
2^73043+1 = 60705459947534288548729811
2^73063+1 = 1026231921453259
2^73079+1 = 409508287909214881
2^73091+1 = 3589412028044587267620793
2^73133+1 = 2928671710986750091889
2^73189+1 = 638632878431340697
2^73237+1 = 162017421445403
2^73237+1 = 4085342838871586150579659
2^73237+1 = 550603037703481389619
2^73243+1 = 140731194993415767043
2^73259+1 = 156748305785746518557489
2^73259+1 = 5366311871861526889
2^73277+1 = 1315202865009673
2^73303+1 = 17044566232943116937297
2^73327+1 = 8822822173986234163
2^73331+1 = 18492182944147394123
2^73369+1 = 6244878817017378667177
2^73379+1 = 30355074291690004654804459
2^73459+1 = 45769529884204142325394457
2^73471+1 = 2957571384125179524703577
2^73477+1 = 14872162528640191531
2^73483+1 = 293166934831787
2^73483+1 = 737751895220704099470803
2^73483+1 = 8766837096069643
2^73517+1 = 40694129782945841
2^73523+1 = 2343063889216907
2^73613+1 = 1258229559416833
2^73643+1 = 3392788279742651828993643907
2^73651+1 = 1070813241044806102138619
2^73673+1 = 204704548887889777
2^73673+1 = 382767897040684137900672137
2^73673+1 = 82668824231441590967821019
2^73721+1 = 7314519633133534832267
2^73771+1 = 1076489957098156064323
2^73819+1 = 952534357902899
2^73823+1 = 111789850932720689013281
2^73877+1 = 130155909718749793
2^73897+1 = 21500492417431109129
2^73907+1 = 1651838058824483
2^73907+1 = 227378203480859
2^73943+1 = 432083942408826157523
2^73961+1 = 107919861908528242871165963
2^74093+1 = 5608392579469192651
2^74099+1 = 4601780605934710077097
2^74159+1 = 545572295657371
2^74177+1 = 49515996177379694891
2^74209+1 = 4824480258236230729
2^74219+1 = 5088745335642023838266513
2^74231+1 = 3243567232683642208734799873
2^74257+1 = 116765041156724497
2^74287+1 = 173479118490939099649
2^74287+1 = 2837173640041805937097
2^74287+1 = 3023130876815243374305240569
2^74287+1 = 8267597616280881889
2^74311+1 = 1033180702322837879072683
2^74311+1 = 501723262682354329
2^74323+1 = 14379544033849422028987753
2^74357+1 = 1988482829627473
2^74377+1 = 1169989674436201
2^74381+1 = 560334809228613997913
2^74383+1 = 1404959897196781360697
2^74441+1 = 12907649270527965769
2^74449+1 = 5208548489322739361
2^74471+1 = 401398467033827
2^74471+1 = 4682164492143082309873
2^74509+1 = 115123013222433323
2^74521+1 = 259321009640024443
2^74551+1 = 2989750645321393
2^74611+1 = 219742470279307
2^74707+1 = 17279203756192409
2^74717+1 = 8502774645164041657
2^74731+1 = 105788197806830113
2^74747+1 = 271222782120635026587497
2^74761+1 = 1442260637438650027
2^74779+1 = 26238212228997787553
2^74797+1 = 24804741850965776960634299
2^74827+1 = 9041187338666472097
2^74831+1 = 23546127863481121
2^74873+1 = 3517555866180408329
2^74873+1 = 5047886189873465563
2^74897+1 = 78509082942241471939
2^74929+1 = 44377702004269823977
2^74933+1 = 368366587354026434689
2^74941+1 = 104067872400298430321
2^75013+1 = 35494597679754416628419
2^75017+1 = 3235995343593308161
2^75037+1 = 17472078576583480971697
2^75041+1 = 269604191448114203
2^75041+1 = 68350772979490259
2^75079+1 = 330788193603601
2^75109+1 = 5121868175008350979651
2^75161+1 = 7437960303753002478063281
2^75181+1 = 974748817272979667603
2^75211+1 = 5125147230172556560059714307
2^75211+1 = 69458583297168467723
2^75217+1 = 23602155060302826809
2^75239+1 = 2562885294594613236311235131
2^75253+1 = 114669879003819043
2^75277+1 = 430235232527108147281
2^75277+1 = 473928155555228793950433083
2^75307+1 = 2531493859451616535303363
2^75307+1 = 3022514790059658194006987
2^75307+1 = 794109707582717282753
2^75323+1 = 16632974051748611873474539
2^75347+1 = 106727676917598265413097
2^75353+1 = 521797139884291
2^75367+1 = 143460045589315057999657
2^75367+1 = 350896521049487068043
2^75377+1 = 394219379603059897
2^75391+1 = 40521894854813854413978503136357131
2^75391+1 = 412041551622913
2^75431+1 = 2137158917667793
2^75503+1 = 30376947630089603923
2^75533+1 = 7506297397271681
2^75541+1 = 15674815153964253643104347
2^75541+1 = 2322648844473896132436691
2^75541+1 = 62202979582676227
2^75617+1 = 1470461710183769
2^75617+1 = 52828763205221284849
2^75629+1 = 3188965106888773609
2^75653+1 = 21842856985895067132793
2^75659+1 = 1976884740654049
2^75683+1 = 2395575412466129
2^75707+1 = 4636133982628721
2^75709+1 = 147829054573697848801
2^75709+1 = 909642088806994454801
2^75731+1 = 2667143256737878889
2^75767+1 = 127623153348386747
2^75781+1 = 1693215276359705617
2^75787+1 = 1176951001653187
2^75787+1 = 299319132876660288323
2^75787+1 = 978801328064625869123
2^75793+1 = 492519534670011073
2^75797+1 = 379077918537746138443
2^75853+1 = 16199866340941819
2^75869+1 = 14605389013780657
2^75931+1 = 58051766815117126123
2^75937+1 = 1209525119803657
2^75967+1 = 88901427493945723
2^75983+1 = 8071354611945065041
2^75989+1 = 44197093491514628297
2^75997+1 = 75040201669334936809
2^76003+1 = 58814812160858179
2^76003+1 = 8125139264785643
2^76039+1 = 443765278530859
2^76039+1 = 723654085865882015907077998849
2^76123+1 = 414371774044986770131267
2^76129+1 = 703727282205187
2^76147+1 = 2718177762513859492143667
2^76157+1 = 25924592679168244580454059
2^76159+1 = 104609599066735027
2^76231+1 = 14303249589937005433
2^76253+1 = 920478460933131356251
2^76259+1 = 1034441989866210281
2^76261+1 = 160889083902916106456377
2^76289+1 = 259207920027726251
2^76303+1 = 4030461401299313
2^76333+1 = 226040978213306338947733005073
2^76367+1 = 2674077812837551255120275449
2^76423+1 = 15889552175513297
2^76519+1 = 17865851193100499
2^76519+1 = 960149330959169441
2^76541+1 = 6280956320301495920434211
2^76579+1 = 65799420417129475318849
2^76607+1 = 245411117968760083
2^76607+1 = 40340770839442193123
2^76673+1 = 15655705645706298862771
2^76679+1 = 4274672207517882041
2^76753+1 = 33638809004646777097
2^76771+1 = 51541629641185763
2^76777+1 = 246918282665489
2^76829+1 = 108481575047531771
2^76831+1 = 1472269363517131385200793
2^76847+1 = 1707289762491596210459040609575633
2^76871+1 = 284324776800457
2^76871+1 = 38562173376027017
2^76883+1 = 4045278481573510081
2^76913+1 = 183388410563906057
2^76913+1 = 191080368422947
2^76949+1 = 25711422403093334657
2^76961+1 = 105826524835221277477627[/CODE]

77k-80k
[CODE]2^77017+1 = 75201095702495899582009
2^77029+1 = 723271121687422709867
2^77047+1 = 29284448969295011
2^77069+1 = 2745437972834930507
2^77101+1 = 180553328122337
2^77141+1 = 6246393823236266860889
2^77167+1 = 930269057845820956729
2^77201+1 = 114695057907656593
2^77237+1 = 18272934213252422947
2^77237+1 = 347957238400554468712155557713
2^77243+1 = 46214164015275557699
2^77243+1 = 820471936862323
2^77249+1 = 31851830339522940750855689
2^77279+1 = 7141504255166877601
2^77317+1 = 19730405058902273041
2^77323+1 = 497936123186141993
2^77347+1 = 4506706336169150374041329
2^77351+1 = 28888573732326030020483
2^77359+1 = 400436385336941989201
2^77377+1 = 2763893457087350733883
2^77417+1 = 89931592131615237571
2^77419+1 = 4426396638502734881987
2^77431+1 = 152866546415742719897
2^77447+1 = 219642305078307034907
2^77477+1 = 21595211728919230699481
2^77479+1 = 37152399395421765640231747
2^77479+1 = 3804927106743737682299253161
2^77489+1 = 35938452047922836473
2^77491+1 = 202485465164002739
2^77513+1 = 257922246755843
2^77521+1 = 57553318892834589576833
2^77551+1 = 20258477262452933363
2^77617+1 = 4851415389643999513
2^77617+1 = 5938214297207794387
2^77641+1 = 8644530098730577633
2^77659+1 = 91549850876728193
2^77681+1 = 133449034239334998003619
2^77687+1 = 149154923697593491
2^77687+1 = 21523044262187529842617
2^77711+1 = 59952127529820765435303924211
2^77713+1 = 11214523523663059
2^77731+1 = 512290150934807491
2^77743+1 = 5562992346818743547
2^77743+1 = 65204029110880267
2^77773+1 = 11569845626561483
2^77797+1 = 9961358940315774809
2^77801+1 = 351294802392234749685137
2^77839+1 = 226274598359179355963
2^77863+1 = 77780582378784692843
2^77863+1 = 942249883618553
2^77867+1 = 2735829844110907033159651
2^77867+1 = 523732188680326663566827
2^77867+1 = 5477835016311486011
2^77893+1 = 4074338094088651
2^77899+1 = 75681711529828152199531
2^77929+1 = 523065684361061108194484353
2^77951+1 = 1141934560969617593081
2^77951+1 = 2838051216259991569
2^77969+1 = 1031350513372283891
2^77983+1 = 14121013599477171857
2^77999+1 = 151787180411915922545051
2^78017+1 = 3347151052873215089
2^78101+1 = 10750596560827254315497
2^78121+1 = 58020145433786547353
2^78137+1 = 113909357927655399203
2^78157+1 = 853856599976730665201
2^78167+1 = 10073268600129695899
2^78167+1 = 1106605390624411
2^78179+1 = 46904640488138591265459838403
2^78179+1 = 7383814873976919241
2^78203+1 = 20318621791512259
2^78277+1 = 14531046460721150179
2^78301+1 = 38140250060962735044863249
2^78307+1 = 463578354929862364548451
2^78311+1 = 482040652498815131824649
2^78317+1 = 1487605481314280443
2^78367+1 = 7984682552248382600611
2^78497+1 = 2653857162199057
2^78497+1 = 287928176907557571083
2^78509+1 = 16574256611948685961889
2^78509+1 = 46886845942450641001139
2^78511+1 = 4404798297628765006681
2^78517+1 = 85811774465571035969
2^78539+1 = 22392100873016947
2^78539+1 = 77496200290639228409
2^78569+1 = 1772636833434052701497
2^78571+1 = 20239979775257559147283
2^78571+1 = 35827453137057288540851
2^78577+1 = 181734547208821659707
2^78623+1 = 3391201640510780421443
2^78697+1 = 40289059421512098289
2^78697+1 = 9289835725481918393
2^78707+1 = 22825456406663723
2^78707+1 = 25079696678450803187
2^78713+1 = 128594773293444439243
2^78737+1 = 1189663900139969297
2^78779+1 = 2133884666530654642155371
2^78779+1 = 87249758707602212910449
2^78781+1 = 4120693647457405607273
2^78787+1 = 2235135568600027
2^78809+1 = 930151015756420469651
2^78877+1 = 1069920354462947033
2^78901+1 = 537974594246822203
2^78919+1 = 1164811294020001
2^78919+1 = 20727778300062102833
2^78919+1 = 3328135201304827
2^78977+1 = 26976971863025083
2^78977+1 = 566417375078958017
2^78979+1 = 1554077912150513
2^78979+1 = 220766113331885993
2^78979+1 = 31272742501543219
2^79039+1 = 999594469391947560707
2^79063+1 = 55868111715424651849
2^79111+1 = 629982308460828731
2^79147+1 = 233789352526694347
2^79153+1 = 2630703304512699209
2^79153+1 = 42809675506647824683
2^79181+1 = 1157892854511031828648671907
2^79193+1 = 132004063172165144531
2^79193+1 = 80314193306182606066217
2^79229+1 = 1127439210150787
2^79229+1 = 388054828419321360931
2^79259+1 = 24051888286846925280361
2^79259+1 = 2419708873523070116627
2^79273+1 = 80377078902996245575241
2^79283+1 = 676691551917373463777
2^79301+1 = 156699851200897428667081
2^79301+1 = 1752091452640465769369
2^79309+1 = 18171546791047849049
2^79349+1 = 16979053052160452775337
2^79349+1 = 748758016087852504297
2^79357+1 = 284715223626554853790267
2^79393+1 = 24683015794831360157057
2^79393+1 = 8421029517547650323641
2^79397+1 = 2408837998444603250337179
2^79433+1 = 837301673865232697123686009
2^79481+1 = 1491941617997137671288521
2^79531+1 = 1684672193334299939048281
2^79589+1 = 197809692134939
2^79589+1 = 396616894695907
2^79633+1 = 360632288436361
2^79657+1 = 1499961822155443
2^79697+1 = 13204307626682891449
2^79697+1 = 253451228851996338217
2^79757+1 = 1436165598376211
2^79757+1 = 23222550683574173983691
2^79843+1 = 26385984840322273633
2^79847+1 = 525917112756598578715099
2^79867+1 = 8004559316458318863230326867
2^79967+1 = 26696339269894494913
2^79973+1 = 507828487779120556553
2^79997+1 = 15458872893788155532707
2^79997+1 = 18780646913209319507[/CODE]

80k-83k
[CODE]2^80071+1 = 2120000408626395047552147
2^80071+1 = 8868157757543681
2^80077+1 = 585953812635361
2^80077+1 = 8081354742226391641
2^80107+1 = 9698974791402251
2^80111+1 = 1544923545679021171
2^80111+1 = 19276030579171445257
2^80141+1 = 27499541636800676181281
2^80147+1 = 130853593797091597769
2^80167+1 = 493030006509482072865763
2^80191+1 = 6898453962766208746451
2^80233+1 = 2225910609218266291
2^80233+1 = 430598244978961
2^80251+1 = 2945083307737203851
2^80309+1 = 135421022499379
2^80309+1 = 650935270164089
2^80317+1 = 120410646761149067
2^80329+1 = 13285894034586870419
2^80329+1 = 1414245877800667
2^80347+1 = 2380550630843656976083
2^80363+1 = 689498105445049
2^80387+1 = 810617672675768829896005721
2^80449+1 = 144226500991976965925801
2^80473+1 = 1625205288726987937
2^80491+1 = 15754641362069187870665161
2^80491+1 = 85123325245555439681
2^80491+1 = 914212786486533505529
2^80513+1 = 46003721425351125443042181500987
2^80527+1 = 13953487408857041
2^80557+1 = 149850227696850539699
2^80557+1 = 5640253785788606339991803
2^80567+1 = 26582882730641970447811
2^80621+1 = 2270579767368499
2^80629+1 = 1266094585138459799939
2^80669+1 = 1214308536934192400849
2^80669+1 = 24049792529450137
2^80669+1 = 6262740992523623576489
2^80677+1 = 95047911127774883
2^80713+1 = 22140734091241927801
2^80747+1 = 6312401899106267
2^80761+1 = 1006721671354789607081
2^80761+1 = 410108805623662124411
2^80789+1 = 2958049627454087932523
2^80803+1 = 3758852898768502237403
2^80833+1 = 160319494824639449190779
2^80833+1 = 549954154697300479219777
2^80849+1 = 41584741356592038928867729
2^80917+1 = 11381610388067954369
2^80929+1 = 333823597222515329
2^80963+1 = 117696713607574939
2^81017+1 = 7574237435887151387
2^81019+1 = 4150600351394099
2^81041+1 = 143427795466067697289
2^81047+1 = 1306252713016499
2^81077+1 = 5452638392326465987
2^81077+1 = 8217486011150927617
2^81131+1 = 328236540207601577
2^81163+1 = 191114163637498051
2^81181+1 = 297078563160233
2^81181+1 = 334857580894985723
2^81181+1 = 52322720489844262023481
2^81181+1 = 870404357824681
2^81223+1 = 357457040130142171749300403
2^81233+1 = 3537795768440519657
2^81283+1 = 1709025401746603121
2^81283+1 = 2077572582199711459
2^81343+1 = 9023231900214647833747
2^81371+1 = 1434230553586830567308704993
2^81371+1 = 497817599733690011
2^81401+1 = 2050614770735252201
2^81401+1 = 72031788041267081764408561
2^81409+1 = 67409591986077284987
2^81463+1 = 90954631911919966643
2^81509+1 = 361420019327161644881
2^81517+1 = 1963597398947788066136339
2^81517+1 = 243412332236837653324771547
2^81547+1 = 124827442411898476734686401
2^81547+1 = 66058567420400791931
2^81553+1 = 2661130501726121
2^81563+1 = 68473849823139950513
2^81611+1 = 4240767464917941754070491771483
2^81629+1 = 484456429381182436153
2^81637+1 = 283305196771923734307617
2^81649+1 = 1950290879802451
2^81649+1 = 3827697466549337
2^81649+1 = 81685810543415436890689
2^81689+1 = 1060904982552370171
2^81701+1 = 105423977585341691
2^81701+1 = 189809634665175891131
2^81769+1 = 331735624278142479283649
2^81773+1 = 223477519815092390469931
2^81799+1 = 5983159293773585701297603
2^81839+1 = 2932887333382817
2^81847+1 = 188942633998721
2^81853+1 = 10810101668025523
2^81869+1 = 20406930547247466060259
2^81901+1 = 300894702760754949059
2^81919+1 = 2790986493958307879510803
2^81919+1 = 28802771787050252643161
2^81929+1 = 1021639674175719835942099
2^81953+1 = 194964221451213139
2^81953+1 = 8290104065664977
2^81971+1 = 16833322650299699
2^81973+1 = 375456628251564601846890001
2^82007+1 = 4275665018544664067
2^82009+1 = 4434141163408886054337697
2^82021+1 = 2208676171049190331
2^82067+1 = 23838523065963585082241
2^82067+1 = 30114929455697683
2^82129+1 = 3463570516278155993
2^82163+1 = 155597690593512257
2^82171+1 = 67028719643789761657941577
2^82207+1 = 501803325531966560723
2^82237+1 = 1760713595320849177
2^82267+1 = 182845915041066551051
2^82267+1 = 18511302131000444108899
2^82339+1 = 174234873648601
2^82339+1 = 495033352181025923
2^82349+1 = 11886827202960020644331
2^82483+1 = 15685389821332111860323
2^82483+1 = 593875233649021735009
2^82549+1 = 509352060176034575087227
2^82559+1 = 20896735807713609271843
2^82561+1 = 120886619536809378740843
2^82601+1 = 210203975011311893641
2^82613+1 = 504143130394983029722417
2^82619+1 = 466341427569229784396257
2^82619+1 = 632813025965277624109691
2^82633+1 = 2316122660197877929
2^82651+1 = 14378500291729033643
2^82657+1 = 6211441397566033
2^82727+1 = 2904936754283075569
2^82757+1 = 1643869916426043967623203
2^82811+1 = 1415932604096726570083
2^82813+1 = 1247998903643994022577339
2^82837+1 = 146503293032507
2^82883+1 = 5103610654878427
2^82997+1 = 28925131026789127916147
2^82997+1 = 53258672391028895377[/CODE]
And ...
[CODE]ECM found a factor in curve #208, stage #1
Sigma=4163419390201143, B1=50000, B2=5000000.
2^85331+1 has a factor: 429734853667011523504561 (ECM curve 208, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
So (2^85331+1)/3 = 335862817 · 429734853667011523504561 · PRP25655

[QUOTE=axn;506871]
And ...
[CODE]ECM found a factor in curve #208, stage #1
Sigma=4163419390201143, B1=50000, B2=5000000.
2^85331+1 has a factor: 429734853667011523504561 (ECM curve 208, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
So (2^85331+1)/3 = 335862817 · 429734853667011523504561 · PRP25655[/QUOTE]

Congrats :toot:

[CODE]ime ./pfgw64 -k -f0 -od -q"(2^85331+1)/3/335862817/429734853667011523504561" | ../../coding/gwnum/bpsw-2 - 1 2 85331 1

Testing (2*x)^((n + 1)/2) == 2 (mod n, x^2 - 6*x + 1)...
Likely prime!

real 0m4.603s
user 0m4.764s
sys 0m0.008s
[/CODE]

83k-86k
[CODE]2^83003+1 = 3161816170421641
2^83003+1 = 975600455552561
2^83009+1 = 450592220403208897573633
2^83071+1 = 45800085063850511299
2^83101+1 = 2131678394222270123
2^83137+1 = 1690983774186883698001
2^83231+1 = 274784844624975107139097
2^83233+1 = 21430564968957326284217
2^83233+1 = 496487097724616707
2^83243+1 = 338464426904988841
2^83257+1 = 76771712838933382162619
2^83267+1 = 25273090999306043867
2^83269+1 = 1524837388921283447024348449
2^83299+1 = 105742890903092210529026899211
2^83299+1 = 229147835393500582598713433
2^83357+1 = 131562639567815260747
2^83399+1 = 1979068636538400289
2^83399+1 = 6884525932858494451
2^83407+1 = 2252530386066259346491
2^83431+1 = 1206011522333451283369
2^83437+1 = 100103611098394957248289
2^83449+1 = 9771274573243187
2^83471+1 = 99268263196452350165657
2^83497+1 = 7571110247474819087297
2^83557+1 = 1462807414046557841
2^83557+1 = 477056904124705286808731
2^83561+1 = 97661469063658990754393
2^83591+1 = 189742497921432331
2^83639+1 = 3983375420177563
2^83639+1 = 5422582616966336293467571
2^83717+1 = 1268430454938575540377
2^83717+1 = 44875958325580027
2^83777+1 = 91571192035423776953
2^83813+1 = 36316488487648356316123
2^83833+1 = 5459474707096777
2^83857+1 = 20726017390686548795051
2^83903+1 = 96996035973482689
2^84011+1 = 3019317251460956203
2^84017+1 = 1740574457558474604215537
2^84017+1 = 182389027878210467
2^84053+1 = 2502372060889417
2^84089+1 = 11334862313412654658529
2^84143+1 = 54123189060187008502723
2^84179+1 = 224144972193601
2^84181+1 = 215637574145713
2^84191+1 = 66562304249534857
2^84211+1 = 6317535133186602961
2^84229+1 = 32937083327750597586997081502970091537
2^84239+1 = 99405182186038601099
2^84247+1 = 1874361939984419
2^84307+1 = 5304854770705686409
2^84313+1 = 2150646526038419
2^84349+1 = 4942674223543019891
2^84391+1 = 8210755202676491
2^84401+1 = 104054361480129409
2^84421+1 = 277937197017923959273
2^84443+1 = 39958050818036177
2^84457+1 = 9934713033273735313
2^84509+1 = 16774282168778587
2^84521+1 = 1986064239240449270560753
2^84533+1 = 242996851375786307554561
2^84629+1 = 3950907802223511450523
2^84691+1 = 2697922711261229147411
2^84713+1 = 20902541077701445313
2^84731+1 = 4580453764013798851
2^84787+1 = 4447602916244011
2^84787+1 = 7683037012272223697
2^84809+1 = 10919822432541996299
2^84809+1 = 5179757653191971657122811
2^84811+1 = 316746156762079034697827
2^84811+1 = 48137389748869829892360889
2^84857+1 = 12224801062112106326689
2^84859+1 = 6476143021189661006309891
2^84869+1 = 1999600699468891
2^84871+1 = 13825393357170827
2^84919+1 = 4026471860563408603187
2^84977+1 = 49167611327004494099
2^85087+1 = 120379222415857002707459358639881
2^85109+1 = 11478613170288809
2^85121+1 = 1168565767422473579
2^85147+1 = 346816042466717017
2^85193+1 = 1304001076230594365593
2^85201+1 = 390034280028647847779
2^85201+1 = 42242438046141300343249
2^85213+1 = 66923847934539231299
2^85229+1 = 108856251563201
2^85229+1 = 174625707352253815363
2^85247+1 = 825460142721102879961
2^85297+1 = 20890748999767496403161
2^85331+1 = 429734853667011523504561
2^85361+1 = 195763592020375019
2^85427+1 = 19905456895318219987
2^85427+1 = 30722356603479641104531
2^85439+1 = 392698207240992307
2^85439+1 = 6610370830425559206931
2^85447+1 = 282558238734025418971
2^85453+1 = 1576833041364538088161
2^85487+1 = 3327038769329201
2^85487+1 = 671600762587055223673
2^85513+1 = 481985684575043617649
2^85513+1 = 5097466089814763655689
2^85571+1 = 25745914785038532807773233
2^85577+1 = 1756773244780354970171729
2^85577+1 = 279533982460507
2^85601+1 = 5468264266944833
2^85639+1 = 2994269199306787
2^85643+1 = 7283178874441304617
2^85667+1 = 103402664896368941514504113
2^85717+1 = 478420503455913808129
2^85717+1 = 91677596269747565318971
2^85751+1 = 194375405476735150979249
2^85817+1 = 11508524064883603
2^85819+1 = 1737075568802367220283
2^85829+1 = 38411535680823611
2^85829+1 = 65824939018780121
2^85837+1 = 1712534535881471947259
2^85847+1 = 7105680519855145097
2^85847+1 = 9430031189448257
2^85853+1 = 465547594387119107
2^85853+1 = 7026484061267383103655203
2^85903+1 = 18429305919270949405337
2^85909+1 = 11216852013031456873
2^85931+1 = 135219522000818683633
2^85999+1 = 18316172626730548483
2^85999+1 = 200154639712705766162461889[/CODE]

86k-90k
[CODE]2^86017+1 = 29374286987144597747
2^86029+1 = 3734488040860891
2^86069+1 = 3262027500821521
2^86069+1 = 955885424361523
2^86077+1 = 15802504134579913
2^86111+1 = 22783955077707625259
2^86113+1 = 2019406890045619
2^86113+1 = 27014425378671833
2^86113+1 = 3542687801310077257
2^86143+1 = 77890681773742230538786937
2^86161+1 = 104420172529264897
2^86249+1 = 17347309692547933365478163
2^86249+1 = 18898639420922059
2^86263+1 = 318980743023229826327048131
2^86269+1 = 1641666359555809
2^86291+1 = 3148814203514009
2^86293+1 = 170186414625741859
2^86297+1 = 21172467495262609313
2^86297+1 = 827384730118486513
2^86311+1 = 226740241414865131164353
2^86311+1 = 270439812733606354961
2^86351+1 = 3779491176411090036054331
2^86353+1 = 176181131125268041
2^86353+1 = 17694500403662204491
2^86369+1 = 440598072099762365574091
2^86371+1 = 32169172406460791363
2^86389+1 = 1699678570567841
2^86399+1 = 2013901409226929
2^86413+1 = 1749118584417067
2^86467+1 = 79890162015576293153153
2^86477+1 = 6257023603888819
2^86531+1 = 261527462807321
2^86531+1 = 708376232759578609563283
2^86533+1 = 1654357940788433363809
2^86533+1 = 207334181520094862587
2^86539+1 = 20890916876714579
2^86573+1 = 2875609502139041
2^86573+1 = 3727432975026913
2^86599+1 = 83147932463535769
2^86677+1 = 3831794759838607091
2^86753+1 = 1034905364540927032934281
2^86753+1 = 297898540609206059
2^86767+1 = 154005193468942780840321
2^86771+1 = 17916526956093347
2^86771+1 = 22037009365624031401123843009
2^86771+1 = 315789663857501565803
2^86783+1 = 2647096388546190848373907
2^86783+1 = 45826931873848257902177
2^86837+1 = 489864899728981403440067
2^86843+1 = 164159701707776513
2^86843+1 = 89994235990314276497
2^86869+1 = 34527918206617084927499291
2^86869+1 = 366860787096706736162224019
2^86951+1 = 134596433974987
2^86969+1 = 2787923011857091819
2^87103+1 = 14561529994701279460723
2^87107+1 = 54961708272492080074027
2^87119+1 = 1520597773033476667
2^87133+1 = 23329490677069208338667
2^87151+1 = 750223729931317704809
2^87151+1 = 79845510616470372251
2^87179+1 = 476379745278403
2^87221+1 = 212039884778833
2^87257+1 = 13074609079646473
2^87257+1 = 8339147477791381931
2^87257+1 = 83861178088455409
2^87277+1 = 10907163811204652231921
2^87299+1 = 184257545949518311547
2^87299+1 = 395913534136482397731467
2^87317+1 = 3461964896809611793561
2^87323+1 = 164267218517521858993
2^87323+1 = 92264618734835037523
2^87383+1 = 16482960806781853618417
2^87403+1 = 32358460362713752077721
2^87407+1 = 133605916419580693257515881147
2^87407+1 = 45598949847787601388370531
2^87407+1 = 7251001054916249
2^87421+1 = 11438514310740584147
2^87421+1 = 21876925934803230480769
2^87473+1 = 3691044960284675069457020257
2^87511+1 = 313635967521870365443
2^87517+1 = 53106625835743498426873
2^87541+1 = 974421499125262651
2^87559+1 = 115771262616785282827
2^87589+1 = 14982349652592097249
2^87589+1 = 873419896236622937
2^87613+1 = 2373145066898319243883
2^87613+1 = 2911990063050908537
2^87641+1 = 275800902809251
2^87641+1 = 3660315898495799530627
2^87671+1 = 1438999327499939
2^87671+1 = 369353784928801
2^87683+1 = 497005086231109867687739
2^87697+1 = 91439719005523007038324529
2^87719+1 = 1150232398670233
2^87719+1 = 148222010253979
2^87739+1 = 803781108054194873
2^87797+1 = 34426785297634033
2^87803+1 = 39792673706951119024339
2^87853+1 = 4765627135345201
2^87881+1 = 73236823191016984307
2^87943+1 = 2715416883936816539
2^87959+1 = 244603867198176401
2^87961+1 = 13033634810528446369
2^88007+1 = 1532663334176459
2^88007+1 = 6111181272410827
2^88069+1 = 104739216756617
2^88069+1 = 785950603893743081177
2^88177+1 = 298692579938546483
2^88177+1 = 92299416903588391499356258043
2^88211+1 = 581613150856662193
2^88223+1 = 48158407515897643
2^88241+1 = 180055438029265889
2^88261+1 = 11651374789597077694099
2^88321+1 = 263104089542233
2^88339+1 = 29503160062315010009
2^88339+1 = 6440964877400028145071649411
2^88339+1 = 914277633445073399483
2^88379+1 = 34474961176007558633186217885979
2^88469+1 = 2324335311257129363
2^88471+1 = 13470017617728382069507
2^88471+1 = 18368075442719179
2^88493+1 = 4641968235317587434910057
2^88513+1 = 159437117840809263211
2^88591+1 = 18535151200647012977
2^88591+1 = 433468067631377
2^88721+1 = 2707393584042465160547
2^88747+1 = 336829527573760259
2^88771+1 = 11767915386614235236753
2^88799+1 = 24696442107187130353
2^88801+1 = 220459908592757865714611
2^88807+1 = 945342246535459
2^88811+1 = 315596233918215625409
2^88811+1 = 676211905522695436740277409
2^88817+1 = 470006968948111801913801
2^88819+1 = 177030698144850833
2^88843+1 = 43183278629727731616420272747
2^88993+1 = 84785096478842052659
2^89041+1 = 138237318799620697
2^89069+1 = 251583528513775155571
2^89069+1 = 6422609571534686061855929
2^89101+1 = 135603855046486114304870590897
2^89113+1 = 222768300120493049249
2^89123+1 = 133338916490322451
2^89209+1 = 1194731181725216297
2^89213+1 = 5860280610604220257
2^89227+1 = 1975797317855041
2^89231+1 = 7439172507338294807131
2^89237+1 = 18021187980904139929
2^89269+1 = 802173493166469139
2^89303+1 = 243882855688811
2^89303+1 = 5508395854255919145043
2^89363+1 = 54725307764191755259
2^89381+1 = 6436140830732281585835063257363
2^89387+1 = 1724092932722009
2^89393+1 = 163068013255619
2^89393+1 = 33995735711562078612814211
2^89393+1 = 4264170625879289
2^89393+1 = 90876275027799497
2^89399+1 = 4060980819625179720971
2^89413+1 = 1636021043498951539
2^89477+1 = 127702161075278247817
2^89519+1 = 104928056028516112267
2^89533+1 = 15848169733495357723
2^89591+1 = 232993805054448261186899
2^89591+1 = 39127558456846791696091
2^89591+1 = 819593410026220859
2^89627+1 = 292422408355453668066286651
2^89653+1 = 72618059740486443501529
2^89669+1 = 19899416537579602843
2^89681+1 = 143398402919019217
2^89689+1 = 9118162327314169
2^89753+1 = 208366505974584606289
2^89767+1 = 87561338237291728819
2^89783+1 = 395344870952901041
2^89783+1 = 8244274764210637267
2^89809+1 = 76548673198784445961
2^89821+1 = 22173041308123297
2^89839+1 = 1845766811225968249523
2^89849+1 = 72356421401910379
2^89867+1 = 11570846816213696036910491
2^89891+1 = 190929809173123
2^89897+1 = 338599099797989970707
2^89923+1 = 6612026472628626347
2^89963+1 = 147265370250107
2^89983+1 = 11350583880777243676003[/CODE]

90k-93k
[CODE]2^90011+1 = 106170375963956393
2^90017+1 = 1156134455712420307
2^90053+1 = 18169760780503595550401
2^90053+1 = 47550211091818592501939377
2^90071+1 = 3487278705924625165512121
2^90121+1 = 41411569766017425691
2^90121+1 = 6143861397294233
2^90149+1 = 509038367391180528859
2^90173+1 = 5194898154031793
2^90187+1 = 22617540501326178857
2^90197+1 = 223281251294279739641
2^90203+1 = 12945831167924570320016419
2^90227+1 = 19791871633154588076427
2^90227+1 = 19913469529959251
2^90239+1 = 535980163623267131
2^90247+1 = 21092932913178795735506849
2^90271+1 = 317812210895578667
2^90289+1 = 504960911114355071622739
2^90359+1 = 30413192830287938171
2^90397+1 = 508413811182346207763
2^90401+1 = 43945831497064369
2^90403+1 = 315219782570073923351301091
2^90499+1 = 1824224320869486089
2^90583+1 = 4965575942987027
2^90599+1 = 805072203039686071393
2^90631+1 = 1105076504130839587
2^90631+1 = 647548238146714283
2^90641+1 = 1234424766131171
2^90679+1 = 236860800798763836619
2^90709+1 = 10271789426495041
2^90833+1 = 106884802867971380113
2^90841+1 = 140599718832161731
2^90911+1 = 4351351285367179
2^90971+1 = 2209944692995852519829497
2^90971+1 = 244396217930108971
2^91081+1 = 27485827789080643
2^91099+1 = 105793047004176570552707
2^91129+1 = 388058857441218011
2^91139+1 = 5711122763368458731
2^91141+1 = 108491184056749259
2^91141+1 = 36367954512027227
2^91163+1 = 5222343808994205819466209148140953993
2^91237+1 = 746629280018684264681
2^91243+1 = 149156802290982289
2^91249+1 = 58000232143851857809
2^91291+1 = 14464147810111310489
2^91331+1 = 1112555185211161
2^91331+1 = 57334991341556249
2^91367+1 = 124281680925190557396269809
2^91381+1 = 1486862351146230086655019
2^91387+1 = 3750938635116885504137
2^91387+1 = 70748986179954940620986683
2^91397+1 = 812344219197409
2^91411+1 = 7575536561429703379
2^91453+1 = 39872457883977073
2^91459+1 = 4592833035345113973507913
2^91529+1 = 29548513015818075187
2^91573+1 = 881608198162089353209
2^91577+1 = 28101522986172001
2^91591+1 = 1293743743409906196995513
2^91703+1 = 1407573587045905831726197811
2^91711+1 = 1083376863162721
2^91711+1 = 184929394174972398041
2^91711+1 = 660458388500747
2^91753+1 = 19846177333619682667939
2^91753+1 = 358133082018190313
2^91801+1 = 2045086205469472020498069593
2^91807+1 = 1543893404699656403
2^91807+1 = 1994835827053529
2^91807+1 = 64787069135108717095057
2^91811+1 = 15492833898364752540034169
2^91813+1 = 3550735370456007935811097
2^91837+1 = 8270955931873276315624635467
2^91909+1 = 61050824568238685707
2^91921+1 = 1232491760056434307
2^91957+1 = 4109503195458350012459
2^91961+1 = 3520420242159104304409
2^91967+1 = 171283768780187441957849
2^92003+1 = 79127761152506264452403
2^92009+1 = 78829546743958019
2^92033+1 = 23834968834943793008721137
2^92041+1 = 42949354717325272297
2^92083+1 = 662565038818339
2^92111+1 = 11639609531354656309162673
2^92119+1 = 4720649029951657315339
2^92143+1 = 408087000520848613549121
2^92143+1 = 875308405720907
2^92173+1 = 32424500401013348311811
2^92173+1 = 7275350135903027617
2^92189+1 = 136924443868017236969
2^92219+1 = 1277959251714041297
2^92219+1 = 642942640109312181072457
2^92227+1 = 786760451417274562378123
2^92233+1 = 958153370107984593552169
2^92237+1 = 17807914577050311299
2^92243+1 = 299922013227527819
2^92243+1 = 40137981108817098252803
2^92297+1 = 34061092334613451
2^92311+1 = 1241879599192801255019
2^92357+1 = 2393424090851536792795657
2^92377+1 = 233832249877273
2^92377+1 = 2371896257557950715841
2^92383+1 = 8177486948725985713
2^92399+1 = 324503043813089
2^92401+1 = 4657846728988983342107411
2^92419+1 = 5571292151740603
2^92459+1 = 10543393965288421836584005931
2^92461+1 = 112338842744050905963857
2^92567+1 = 38044969540635979626737
2^92581+1 = 1211109737101194793867
2^92593+1 = 679630129909135500257
2^92623+1 = 25635457215193815617
2^92627+1 = 428742764475958981859
2^92627+1 = 44124264037752641921
2^92639+1 = 735839440767494017
2^92647+1 = 26625224383699603
2^92693+1 = 3583400010012309760561
2^92699+1 = 1180866742093926086497
2^92699+1 = 1428377370554384405621803
2^92699+1 = 40024718330084796521
2^92737+1 = 1657819612439473938646643
2^92767+1 = 18387148795894628321369467
2^92767+1 = 21925093377554170184753
2^92767+1 = 300330253883483
2^92789+1 = 25836084868773837227729
2^92809+1 = 1459174603314377
2^92831+1 = 2070500493032509408121
2^92831+1 = 937529280358459
2^92857+1 = 82391570276539026161
2^92863+1 = 416631542419852640129
2^92893+1 = 1263328606548164329
2^92951+1 = 918743959591455817
2^92951+1 = 931119765268510427
2^92993+1 = 1658399398658617[/CODE]

pay dirt!
 

[CODE]ECM found a factor in curve #160, stage #1
Sigma=54626733384473, B1=1000000, B2=100000000.
2^9181+1 has a factor: 76784137749059091145875053513 (ECM curve 160, B1=1000000, B2=100000000)
Cofactor is a probable prime![/CODE]

So, (2^9181+1)/3 = 3011369 · 76784137749059091145875053513 · 830850377585029456002515680049587 · PRP2695

Note that the p33 was already known, but the p29 was missed. And the p29 was found in stage 1 !!

Someone want to take a crack at a juicy PRP2695?