10k-10.5k done to t35. Just the one factor
[CODE]ECM found a factor in curve #1308, stage #2
Sigma=4867887659600039, B1=1000000, B2=100000000.
2^10247+1 has a factor: 37196184638687822890576519393981019 (ECM curve 1308, B1=1000000, B2=100000000)
[/CODE]
Currently working on 9.5k-10k. I've excluded already done ones (here as well as M+2)

47k-50k
[CODE]2^47051+1 = 9660268240550759735537
2^47057+1 = 1940788329511150877843
2^47057+1 = 2196284066326812506341667
2^47059+1 = 31441308995228014833082969
2^47093+1 = 27447671596694891329
2^47111+1 = 183658262984921
2^47119+1 = 1245559738631188910166827
2^47123+1 = 1566764693373676714434659
2^47137+1 = 243305426945081616707
2^47137+1 = 449380174233815110768049
2^47161+1 = 266054441407387799657137
2^47189+1 = 2422998219178147182892939
2^47207+1 = 66489643291
2^47207+1 = 68285280473886227
2^47251+1 = 6251876787667287467
2^47279+1 = 107150856209
2^47287+1 = 2292589120811596715753
2^47293+1 = 18535451841228695200559387
2^47293+1 = 631192430233
2^47293+1 = 80584974695233
2^47297+1 = 17413278687189095472815483
2^47303+1 = 1089864065063172273419
2^47303+1 = 1239903492427
2^47303+1 = 4751950906936339
2^47303+1 = 5809550773283
2^47339+1 = 305475539479605763
2^47339+1 = 432708807637619331353
2^47351+1 = 19631197283235357221147
2^47389+1 = 344657367573059437067
2^47389+1 = 44356760722853201892803459
2^47407+1 = 76976258301153803
2^47419+1 = 3856086430523
2^47419+1 = 430144831799251969
2^47419+1 = 6557111017116446444103451
2^47431+1 = 11064837275956979
2^47459+1 = 105511706269469057
2^47501+1 = 37414447657
2^47513+1 = 143950801283
2^47513+1 = 3956034342899
2^47563+1 = 355122363254563081
2^47563+1 = 5004527808824707
2^47581+1 = 6140547449678260781849641
2^47599+1 = 1131989025809729760980257
2^47599+1 = 1595058695405221977209
2^47609+1 = 3785944997017
2^47653+1 = 411894535945193137
2^47681+1 = 58311958144051
2^47701+1 = 33264983776316313937
2^47701+1 = 507794659140336257
2^47701+1 = 70915474973402531
2^47713+1 = 302197239618072844884859
2^47737+1 = 3339620891642711584523
2^47743+1 = 1259158935155804171
2^47743+1 = 3909086840129
2^47743+1 = 9274554702571
2^47779+1 = 157697768293883558371291
2^47791+1 = 3445581131843
2^47797+1 = 366307695171657338849
2^47809+1 = 13389552716107
2^47809+1 = 39236988752130019598089
2^47819+1 = 1572608055283
2^47819+1 = 205451081809
2^47819+1 = 3344934883353727759283
2^47819+1 = 34456363003
2^47837+1 = 126790865756118257
2^47837+1 = 155406506604595210337
2^47837+1 = 38626845788727593
2^47843+1 = 10612334035518999673
2^47843+1 = 58939906647659
2^47857+1 = 6029532819720463970699
2^47881+1 = 4810528992593
2^47903+1 = 1928199704243632188091
2^47911+1 = 2355878045298931
2^47917+1 = 5597587336529611
2^47947+1 = 2845739925308689
2^47951+1 = 81495576898066384191043963
2^48017+1 = 1052374274556097
2^48023+1 = 155444544508558277209
2^48029+1 = 20335497523427
2^48029+1 = 5199893209243
2^48119+1 = 482864990342747
2^48157+1 = 1201958286508974948687857
2^48259+1 = 44005493924133626512073
2^48281+1 = 237432299208539
2^48311+1 = 26760521016886819368142392371
2^48313+1 = 568039890720361
2^48341+1 = 4044104416897
2^48353+1 = 217134666962011
2^48397+1 = 133199094547
2^48409+1 = 20781371422969
2^48413+1 = 699552357841
2^48449+1 = 13905669519359731
2^48449+1 = 5066634503443
2^48463+1 = 82641046121
2^48479+1 = 112407112336191298559641
2^48481+1 = 387326197645081038299
2^48487+1 = 3169097762630379329
2^48527+1 = 75057392064181817
2^48533+1 = 15849347250485142377689
2^48541+1 = 276656679357290716123
2^48593+1 = 160654021020048574553
2^48593+1 = 176579284307
2^48619+1 = 93600626911827896041
2^48649+1 = 209689254953
2^48661+1 = 2027824582051431760836049
2^48677+1 = 17923323613583710650619975646899
2^48677+1 = 683017613010737
2^48679+1 = 273780452516224673
2^48679+1 = 35433541459
2^48731+1 = 5626646643657649
2^48779+1 = 838972305881267
2^48781+1 = 1578277440078038534281
2^48787+1 = 56390517679978816513
2^48821+1 = 109601942753238309593
2^48823+1 = 2848130706441945405539
2^48847+1 = 957119472289763
2^48859+1 = 5871975456844314546881
2^48859+1 = 8898391455452815102148387
2^48869+1 = 134745608199975233
2^48869+1 = 1640790413673329873
2^48869+1 = 17930169051961565419
2^48907+1 = 7297876619291
2^48953+1 = 1402976200903791289
2^48973+1 = 1968639486192060001
2^49003+1 = 70196833969637087881939
2^49031+1 = 1995218861421259
2^49031+1 = 325869344243489
2^49033+1 = 9562136000701955419729867
2^49121+1 = 424725315953
2^49139+1 = 14291281311977
2^49169+1 = 61605651271931884123459051
2^49177+1 = 2992448678689596825496073
2^49199+1 = 427706995126286784217
2^49201+1 = 173850355873
2^49201+1 = 18914755810885294232491
2^49211+1 = 44692098514719577855033
2^49253+1 = 124570660388591209310131
2^49261+1 = 29844941050715438506259
2^49261+1 = 6124591867692780289667
2^49279+1 = 11079167459383136969
2^49331+1 = 5573474173911384698011811
2^49333+1 = 16542541654649
2^49333+1 = 266875348777
2^49339+1 = 137244585841598993
2^49391+1 = 72597954043
2^49409+1 = 529182460816337
2^49429+1 = 1780351977890048984153
2^49429+1 = 32828028233143276241
2^49433+1 = 14579583226696458739001
2^49433+1 = 283022805144481942387
2^49433+1 = 82431378714613027294297
2^49459+1 = 1614652977018744922739
2^49459+1 = 4040349569128453513843
2^49459+1 = 407675115668665547
2^49463+1 = 27714596910433
2^49481+1 = 840054078187
2^49499+1 = 24343154066888421298244881
2^49499+1 = 6284577307650347
2^49531+1 = 33806342214947
2^49549+1 = 11133455692359401
2^49603+1 = 129888372779016857
2^49613+1 = 508805228467
2^49639+1 = 8070980428355646092843
2^49669+1 = 736646255197575480977
2^49711+1 = 10672751373419137
2^49727+1 = 22480536411161
2^49739+1 = 102376082071112761
2^49741+1 = 3561380642880257263019
2^49741+1 = 4106080739684233
2^49757+1 = 2008254511298226844008841
2^49801+1 = 4892010795977
2^49843+1 = 4320093234185731
2^49853+1 = 96735100947796177
2^49871+1 = 2254685885403499
2^49871+1 = 5384353718187539
2^49877+1 = 183701779193
2^49877+1 = 320654471141559691
2^49891+1 = 2925672121191589032208403
2^49891+1 = 6225057927418987
2^49957+1 = 12056609591009
2^49991+1 = 34022296194464147
2^49993+1 = 14793999369835576177428473[/CODE]

50k-54k
[CODE]2^50021+1 = 21195204612072813361419113
2^50069+1 = 1906908988806244223299
2^50087+1 = 109594427211021993670699747
2^50087+1 = 55080052212470922907483579
2^50101+1 = 48951592027878713659
2^50129+1 = 807745687130539
2^50131+1 = 3501967327054548573203
2^50153+1 = 141430741495647096950323
2^50159+1 = 172626179213047231307
2^50177+1 = 240766881108067
2^50221+1 = 44611935729314989519723
2^50273+1 = 277960458174743569
2^50273+1 = 34877297878331702219
2^50329+1 = 46911419593267006075283
2^50329+1 = 4860308497544292409027
2^50387+1 = 327237541063690307
2^50417+1 = 9084581805318528529
2^50423+1 = 458209496167211
2^50441+1 = 1624228487607476323
2^50461+1 = 953074681288881847249
2^50497+1 = 806291657428073
2^50539+1 = 25874544060385602841265517331
2^50543+1 = 5782828646397952597412513
2^50549+1 = 11563687093848794516273
2^50551+1 = 82333826887175273
2^50647+1 = 339085896103788578323
2^50647+1 = 74165448182779801
2^50651+1 = 4886928941818057059617
2^50671+1 = 27121972490089771183963
2^50671+1 = 758211397759892697923
2^50741+1 = 516937037303971
2^50767+1 = 30199735598847250123
2^50767+1 = 31934738721431756083
2^50767+1 = 3793376452857515033593
2^50767+1 = 641954481946116920489
2^50821+1 = 11646399244796532732289
2^50833+1 = 1482034930387769
2^50849+1 = 341092459496421001
2^50857+1 = 37105879703335298467
2^50857+1 = 42904075021796801
2^50867+1 = 5914340677932257
2^50957+1 = 55324229628172429283
2^50969+1 = 146400275377844089547052979
2^50989+1 = 1641804996603061631729
2^50993+1 = 16163227063616878403
2^51031+1 = 34726073052342377929
2^51061+1 = 116717625902895336466627867
2^51061+1 = 117926544126307949371
2^51061+1 = 96737410516026961
2^51133+1 = 10211906404447062691
2^51137+1 = 25431470121033233
2^51169+1 = 3148378148830731466651
2^51169+1 = 384182421834668041237537
2^51197+1 = 25773522584361521
2^51197+1 = 33621365793311773872257
2^51229+1 = 1732038725598839297
2^51229+1 = 8465121218826462848221427
2^51283+1 = 11979455483819173249
2^51287+1 = 27754986598517399017
2^51307+1 = 201414822034036653209052001
2^51341+1 = 419250931235890939
2^51347+1 = 228299183797897
2^51361+1 = 33381181373063716531
2^51383+1 = 73013531213810327560811297
2^51421+1 = 5556566979122801
2^51431+1 = 981461495594665196266354153845143093297
2^51461+1 = 521461293581729
2^51473+1 = 31765776698501201
2^51481+1 = 10395569553574420818859
2^51481+1 = 3009238233309908340787393723
2^51481+1 = 59875229392336831802281
2^51487+1 = 273227338438939
2^51487+1 = 360003258755411892443
2^51503+1 = 2608187702720548073611
2^51517+1 = 2165480183790739
2^51521+1 = 2782443640901698337
2^51593+1 = 1148923720544412961
2^51593+1 = 241024517143358297
2^51599+1 = 152048900923503760825644577
2^51631+1 = 833577177515049041
2^51637+1 = 771184674341389229349341609
2^51647+1 = 258835676982137579
2^51673+1 = 168436973726692219
2^51679+1 = 21978485800397600563
2^51691+1 = 374365616936595275617
2^51719+1 = 3265379868048802004434249
2^51769+1 = 392978648837626459
2^51803+1 = 9003959218598407691
2^51827+1 = 3759770382123348107
2^51827+1 = 774879518219012967577
2^51853+1 = 587554052162505299109659
2^51971+1 = 151372304289259897
2^51977+1 = 2483555275031757756240306521
2^51977+1 = 2630060460419537507
2^52009+1 = 24897904934127969203
2^52021+1 = 744553086142753
2^52051+1 = 247515502730059339
2^52051+1 = 521291336624083
2^52051+1 = 791255655590788819
2^52051+1 = 89132981568654467
2^52121+1 = 209542908390786721
2^52147+1 = 396090131937553
2^52163+1 = 202838692239464782551821257
2^52189+1 = 7822273812268942668427
2^52201+1 = 40632439627315001
2^52201+1 = 76574701084247663450443
2^52237+1 = 223345356452692111538865953
2^52237+1 = 394382814998292498827
2^52249+1 = 234073323974531
2^52253+1 = 137433444774032513
2^52259+1 = 10401782725859323754177
2^52259+1 = 87536023104157524073
2^52267+1 = 191573670125403803
2^52267+1 = 21375577852639383079547083
2^52267+1 = 95718126037171839449
2^52301+1 = 9552833185873176627218441633
2^52369+1 = 6871701399048062099
2^52391+1 = 10995954993763275781561
2^52391+1 = 3440208563238377418922006897
2^52453+1 = 3911208679153187632256539
2^52489+1 = 232304709985611827
2^52501+1 = 240893344040193353306899
2^52511+1 = 487979566029126141673
2^52529+1 = 3381999442429852679899
2^52541+1 = 45305525124667746652849
2^52543+1 = 190117131394540760209
2^52553+1 = 9950176977387841
2^52567+1 = 31447612432774236011
2^52567+1 = 3325738607190347521
2^52583+1 = 157797812851997472073
2^52609+1 = 129210946547718433
2^52673+1 = 490351307851817
2^52691+1 = 8447912334225568653851
2^52711+1 = 67154343230563531
2^52733+1 = 1216912682966632027
2^52837+1 = 5197231212224531608692049
2^52837+1 = 9335362023317306686777
2^52861+1 = 75946147667215548343129
2^52879+1 = 1454885836863937
2^52879+1 = 718899351469009
2^52883+1 = 744736778959412564243
2^52889+1 = 563976368069709547
2^52903+1 = 269201506210729
2^52919+1 = 8711554481912461171
2^52951+1 = 866463568936643
2^52967+1 = 11856373072431217441
2^53051+1 = 840967579356451
2^53069+1 = 11999639725450483
2^53069+1 = 40005455631097068670979
2^53089+1 = 5200508009243659760532691
2^53113+1 = 6844116852765315787
2^53161+1 = 1111616143526843
2^53171+1 = 5388177134823500953224019
2^53173+1 = 3906409021022779
2^53197+1 = 6781214632378290426413233
2^53201+1 = 8599957351880562832767401
2^53231+1 = 259729396050473464603
2^53231+1 = 571984499271333831795947
2^53239+1 = 330946139317643
2^53279+1 = 2619302002561013179
2^53353+1 = 222921801993717781856383721
2^53407+1 = 127834702674056800561
2^53437+1 = 16007061540426626612161
2^53441+1 = 408186592603810379
2^53527+1 = 75177939207480858739
2^53549+1 = 110726595312517081
2^53623+1 = 340608278314007925725633
2^53629+1 = 1142838777601945812802129
2^53653+1 = 104890937448132883
2^53653+1 = 1797922429499666445203
2^53657+1 = 71184039555890032019
2^53681+1 = 1999028738602393272781099
2^53699+1 = 991053493763689630531
2^53719+1 = 3634049204726017274531
2^53759+1 = 37569489837321725603
2^53759+1 = 8161226538660983784977
2^53791+1 = 4129394377417621067195291
2^53881+1 = 34321408852291898299
2^53899+1 = 1895695607453941193
2^53899+1 = 31716634355791362281478491
2^53899+1 = 58895608986317267
2^53923+1 = 873719251388827094267
2^53951+1 = 235394627504576609
2^53987+1 = 6555210473133043
2^53993+1 = 257994912583169[/CODE]

And...
[CODE]ECM found a factor in curve #27, stage #2
Sigma=6998648846391097, B1=50000, B2=5000000.
2^53759+1 has a factor: 37569489837321725603 (ECM curve 27, B1=50000, B2=5000000)
ECM found a factor in curve #3, stage #2
Sigma=2526292520113682, B1=50000, B2=5000000.
2^53759+1 has a factor: 8161226538660983784977 (ECM curve 3, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
Thus, (2^53759+1)/3 = 59672491 · 37569489837321725603 · 8161226538660983784977 · PRP16134

[QUOTE=axn;504268]
Thus, (2^53759+1)/3 = 59672491 · 37569489837321725603 · 8161226538660983784977 · PRP16134[/QUOTE]

Congrats :toot:

[CODE] time ./pfgw64 -k -f0 -od -q'(2^53759+1)/3/59672491/37569489837321725603/8161226538660983784977' | ../../coding/gwnum/bpsw-2 - 1 2 53759 1

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

real 0m1.758s
user 0m1.920s
sys 0m0.004s
[/CODE]

54k-60k
[CODE]2^54037+1 = 48843995860005435776889947
2^54049+1 = 20124656586239469643
2^54059+1 = 1289462690717161
2^54059+1 = 230452591072258337
2^54083+1 = 1209734892615918323
2^54091+1 = 153618141157610473
2^54101+1 = 1647337889610351761
2^54101+1 = 24537640514842004355467
2^54133+1 = 123914471977619271307
2^54133+1 = 50567978459004375097
2^54139+1 = 916823344984382861716883
2^54151+1 = 700503785298324817
2^54181+1 = 30770630234099659
2^54181+1 = 680085442230396913
2^54251+1 = 319981328040107
2^54269+1 = 235723501849082113455707
2^54277+1 = 225890972324310387139
2^54331+1 = 8266938645428219353
2^54371+1 = 339752542977011
2^54377+1 = 1390718683893467
2^54401+1 = 1413762693938299
2^54401+1 = 235390703916627709323089
2^54401+1 = 4025413363176971
2^54421+1 = 4572632954162191049
2^54421+1 = 539444105073698350601
2^54437+1 = 300901362168899383009787
2^54469+1 = 7724654792661187
2^54521+1 = 6403894493983259024670329
2^54539+1 = 12825731145449814630593
2^54541+1 = 536506555953360181169
2^54547+1 = 1367184321264170209
2^54547+1 = 1963879707027307
2^54547+1 = 24038107600360763366459
2^54577+1 = 2511983725891143778399714489
2^54583+1 = 83518756578290082214657
2^54629+1 = 12631940281855568689
2^54647+1 = 64324092844644034313
2^54667+1 = 42049634129653199939
2^54667+1 = 81221808280239377
2^54673+1 = 3133585417259035471219
2^54709+1 = 3799442627622749492323
2^54709+1 = 4696884997099683728849
2^54713+1 = 583485688148229740299
2^54751+1 = 4119393249671220667
2^54779+1 = 2218069999852581755351689
2^54787+1 = 1557817321824385289
2^54799+1 = 126865403903317747
2^54829+1 = 21721488624444734796379
2^54881+1 = 4373485056399530209
2^54907+1 = 25993316589305375402285731
2^54907+1 = 27524111168391907
2^54919+1 = 1434106979001017
2^54941+1 = 6926911094253433
2^54949+1 = 38396301233096643553
2^54983+1 = 17689320715773215527867
2^54983+1 = 579556590123821153909587
2^54983+1 = 836047467789817
2^55001+1 = 1004832644528315929
2^55001+1 = 34816126541516602528793
2^55001+1 = 629626874292354913765907
2^55073+1 = 281286952933664408024939
2^55079+1 = 4626455842132968674819
2^55103+1 = 4623846041128137980520577
2^55117+1 = 182763683383511548539779
2^55127+1 = 42945899321103662152992923
2^55171+1 = 12612269264478607968019907
2^55171+1 = 236636829156899
2^55213+1 = 47049166246538971937
2^55217+1 = 220615500896492929
2^55219+1 = 709762262952973486209091
2^55229+1 = 2878563417037361
2^55243+1 = 110965694216487635281
2^55243+1 = 2616423609070094667813019
2^55259+1 = 49573160602208118131
2^55333+1 = 54861964167039001800483043
2^55337+1 = 12364668501099371
2^55343+1 = 100069674863199491
2^55343+1 = 99644867301925421363
2^55373+1 = 11082554819541856649730187
2^55381+1 = 37584037351921648780211
2^55411+1 = 173143924096576913
2^55439+1 = 180321577095959734758377
2^55469+1 = 2953741271882969
2^55469+1 = 600824060741613889681
2^55487+1 = 10215078261339897083
2^55609+1 = 142115669584424375907083
2^55639+1 = 29142985272710053045891
2^55661+1 = 3400990925581189831549531
2^55661+1 = 41970073911374242980933443
2^55681+1 = 554065761719893777
2^55691+1 = 15943323848245524973681
2^55691+1 = 4852325147305338299
2^55697+1 = 1516005295717259529617
2^55697+1 = 681316729651307644571
2^55711+1 = 2096660511843012827
2^55717+1 = 71918900084275349929
2^55721+1 = 105949759979105921
2^55733+1 = 4584148227670909646963
2^55763+1 = 284101606496682200736721
2^55787+1 = 22671743002726598017
2^55799+1 = 1728418811769289597681
2^55807+1 = 107118354958504495231057
2^55807+1 = 2325065915036923
2^55813+1 = 85645723205813969467
2^55817+1 = 333782684171636018247857
2^55819+1 = 377805036039481
2^55819+1 = 7524650880976555049
2^55849+1 = 401117823251224913
2^55889+1 = 788885859319099
2^55897+1 = 27744431344008421961
2^55903+1 = 212434183569025732763
2^55903+1 = 5385999012463969
2^55933+1 = 18054067908947561
2^55949+1 = 210154351527696193
2^55949+1 = 7679236226578579919202159971
2^55967+1 = 2637693914717921
2^55987+1 = 56578345986287274506299
2^55987+1 = 9880738802927929
2^56009+1 = 3013416159632214187
2^56041+1 = 125261284818709003
2^56041+1 = 230008157675929
2^56081+1 = 1058808037245041
2^56087+1 = 7136570818188979
2^56113+1 = 2276065844887697827
2^56131+1 = 94470417629643667
2^56179+1 = 205961650611347
2^56237+1 = 86477979738156577
2^56263+1 = 206148619768521974328203
2^56393+1 = 197450158162591148196313
2^56467+1 = 24137564192758544063105539
2^56467+1 = 3841991159698540299643
2^56473+1 = 576235703754329
2^56479+1 = 713738903694250579
2^56503+1 = 1135039701578704466563
2^56503+1 = 2063738247063567430099
2^56509+1 = 15841600865522195164241
2^56509+1 = 9041105588916078763
2^56519+1 = 11864199778635888746761
2^56531+1 = 1033079152756428763
2^56543+1 = 3509234745241378840387
2^56629+1 = 1771742405205364149373441
2^56711+1 = 178417328314392343638740772523
2^56783+1 = 26974278954243787571
2^56813+1 = 505949168962659473
2^56827+1 = 474673425712066011889
2^56891+1 = 1962701841550076266049
2^56897+1 = 8594193363144294336535875142825115131379
2^56909+1 = 165497815690827112459
2^56957+1 = 687855156763193
2^56963+1 = 74407481210104918636027
2^57041+1 = 392874323459543830775977
2^57047+1 = 232601466141587
2^57047+1 = 3913950898407371
2^57047+1 = 605479254284721013836193
2^57059+1 = 5473443712317017
2^57077+1 = 241486304719838464219
2^57077+1 = 86820410332577401171
2^57089+1 = 9881747222211924703321
2^57107+1 = 12234369383136338587
2^57119+1 = 60218217523788059
2^57131+1 = 2663829467981369
2^57131+1 = 33367140968173884744019507
2^57131+1 = 3337670412229893673
2^57163+1 = 3203360562701041
2^57179+1 = 192941363126984138750443
2^57191+1 = 13509819180006209147
2^57193+1 = 24956867300124042845528363
2^57221+1 = 913614353282965819
2^57241+1 = 975048725768521396217
2^57251+1 = 210092442198675477042693089
2^57251+1 = 5300002359288138104203
2^57269+1 = 1266155246666052289
2^57269+1 = 8396761993477241
2^57269+1 = 8827687029082483
2^57271+1 = 5540276616224772403
2^57389+1 = 44779706918216109262483
2^57389+1 = 495337845439229993
2^57389+1 = 5830693344238655339
2^57397+1 = 139305660090940107683
2^57397+1 = 57699389749464146617
2^57467+1 = 1282466273830240691
2^57493+1 = 32707537633693197227
2^57493+1 = 518874301340020697
2^57503+1 = 178808916427841214168801139
2^57587+1 = 1177059310796130401
2^57653+1 = 1451208060020011
2^57713+1 = 461866655429417512807553
2^57773+1 = 12016997114891137
2^57773+1 = 7259318753841326272417
2^57781+1 = 100084945000747036091
2^57781+1 = 150613099022157763
2^57787+1 = 24239365096399891
2^57793+1 = 201428745537783889
2^57793+1 = 3556922678129119890817
2^57803+1 = 26825627070229704833
2^57803+1 = 69419571411390862703203
2^57847+1 = 271559760203882662318786387
2^57881+1 = 284227198678078441732907
2^57917+1 = 10764015047869104567563
2^57917+1 = 2010778864531555408914870569
2^57977+1 = 2099941688225437649
2^57977+1 = 444947379253706506739
2^58013+1 = 1604901501385363
2^58027+1 = 39025206767354727307
2^58043+1 = 11765187577581614283841
2^58061+1 = 385244321219467
2^58067+1 = 772857329317771
2^58067+1 = 7893011718064619
2^58099+1 = 1169378231842433
2^58099+1 = 1604844067686118226017
2^58099+1 = 2121695885648179
2^58111+1 = 51027593198335358593
2^58129+1 = 9214804898790096409003
2^58129+1 = 9553209035695588537
2^58169+1 = 105239554696256107
2^58211+1 = 3888827660412365838684883
2^58211+1 = 51848505124889785337803
2^58217+1 = 2988719610586100243681
2^58237+1 = 1279067812270351071628865419
2^58271+1 = 25432206060430430761
2^58271+1 = 360750874076363051
2^58271+1 = 837359100177143713019
2^58313+1 = 115659494248120346950891
2^58313+1 = 572921908317154003
2^58363+1 = 10213924878880267
2^58369+1 = 225169143999730811
2^58369+1 = 4029998424639233
2^58369+1 = 528357205855082059
2^58379+1 = 2363844302477837059
2^58379+1 = 29333472073149371
2^58379+1 = 327818582024372798939
2^58379+1 = 931810865187733243129
2^58393+1 = 28921196257411682741849
2^58403+1 = 169445782739864659241
2^58403+1 = 18453278158807901728617611
2^58403+1 = 31032600768149928601
2^58417+1 = 13533869202558829361
2^58417+1 = 180698068396193
2^58417+1 = 2484321432878794497823883
2^58427+1 = 2717282223113603
2^58427+1 = 6488451566429349971
2^58441+1 = 1647031362498352843
2^58441+1 = 20903315642310401
2^58451+1 = 477022191825163
2^58453+1 = 221493381287504099
2^58453+1 = 862907624147147
2^58481+1 = 392166789852344953
2^58537+1 = 1748775412729800956539
2^58537+1 = 1915244822884817
2^58549+1 = 2516859212029484825219
2^58603+1 = 534188239901243
2^58631+1 = 2498644841439059155265587
2^58711+1 = 60160961374513753483
2^58733+1 = 11323563806077317859
2^58733+1 = 75453626218790102617
2^58757+1 = 3991192573896183135331
2^58771+1 = 635763772130333761
2^58787+1 = 331741418901684063113
2^58787+1 = 4973034012941514907
2^58789+1 = 239170468933132843
2^58789+1 = 3470978136312412771
2^58897+1 = 35718268998614819626787
2^58897+1 = 9733367778620560849
2^58901+1 = 21285568508658724489
2^58909+1 = 98105451585964169
2^58921+1 = 2224740281718503449
2^58943+1 = 2342900041646333626938713
2^58979+1 = 985454664510451
2^59011+1 = 29251200538799783342419
2^59021+1 = 1109319445315273
2^59021+1 = 55477154848504896707
2^59051+1 = 119155629283676279602993
2^59053+1 = 9450369236080037765603
2^59077+1 = 65653548258897499
2^59083+1 = 2355296547506561
2^59093+1 = 1205994570213067337
2^59093+1 = 59859698429278201
2^59093+1 = 60267430541357735535451
2^59113+1 = 4829188723578019
2^59113+1 = 516744037204459
2^59119+1 = 450122567720677556521331
2^59119+1 = 61602188114907641053311381898145416451
2^59123+1 = 404722643418061027858616593
2^59123+1 = 592349073403979
2^59167+1 = 14023367944611401
2^59197+1 = 13783864150429267
2^59197+1 = 147686300455733820833779
2^59197+1 = 368080211808121819
2^59209+1 = 381340122397570291
2^59221+1 = 1200801042891113668464899
2^59233+1 = 1006858246373394813044513
2^59243+1 = 105990540949622824645879627
2^59273+1 = 101538562508478859
2^59333+1 = 3216861339965751001
2^59333+1 = 5035771476157102763
2^59357+1 = 165903541529681
2^59357+1 = 1990826076411113
2^59369+1 = 56382027291031626473
2^59369+1 = 914301287943468281
2^59399+1 = 142400141325610248713
2^59407+1 = 10468366314853609
2^59441+1 = 21101360863054861921993
2^59441+1 = 5471158890228384481
2^59447+1 = 24535026225311449
2^59453+1 = 1787939506999535582137
2^59471+1 = 657608720887020953
2^59473+1 = 94191516708803089
2^59513+1 = 77231819904279790508179
2^59561+1 = 186360907334162408096969969
2^59561+1 = 39106947788574946601
2^59581+1 = 9702323062597273
2^59617+1 = 74777843483494211
2^59621+1 = 11550150279731882203337
2^59651+1 = 33769035419031713
2^59663+1 = 229910242356729235423867
2^59663+1 = 3555131586302944577
2^59669+1 = 20684790440635175003
2^59669+1 = 243615294794630825267
2^59669+1 = 6710962505723512313
2^59671+1 = 391886505396956729
2^59693+1 = 12069151210664672819
2^59693+1 = 1431236790854947
2^59693+1 = 184946558714995633
2^59693+1 = 272332660577464742467
2^59699+1 = 14557472274186761
2^59699+1 = 688555859503197763219
2^59707+1 = 20491784540092885339
2^59753+1 = 49987378984871105504249
2^59779+1 = 2281076125894840363
2^59797+1 = 93961281914907858827
2^59833+1 = 1715373024332083
2^59887+1 = 96650462655278404337
2^59951+1 = 1836095011749178307
2^59951+1 = 3148540622252762761
2^59951+1 = 59369484527768709449
2^59957+1 = 142582080049717783043
2^59971+1 = 124801859883416747
2^59981+1 = 1291951161801753914698049[/CODE]

[CODE]ECM found a factor in curve #11, stage #2
Sigma=4386452412346322, B1=50000, B2=5000000.
2^62581+1 has a factor: 3746586115387179252611 (ECM curve 11, B1=50000, B2=5000000)
ECM found a factor in curve #1, stage #2
Sigma=7031221505242364, B1=50000, B2=5000000.
2^62581+1 has a factor: 330100331790953723 (ECM curve 1, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
Thus, (2^62581+1)/3 = 1958759661815921 · 330100331790953723 · 3746586115387179252611 · PRP18784

[QUOTE=axn;505003][CODE]ECM found a factor in curve #11, stage #2
Sigma=4386452412346322, B1=50000, B2=5000000.
2^62581+1 has a factor: 3746586115387179252611 (ECM curve 11, B1=50000, B2=5000000)
ECM found a factor in curve #1, stage #2
Sigma=7031221505242364, B1=50000, B2=5000000.
2^62581+1 has a factor: 330100331790953723 (ECM curve 1, B1=50000, B2=5000000)
Cofactor is a probable prime!
[/CODE]
Thus, (2^62581+1)/3 = 1958759661815921 · 330100331790953723 · 3746586115387179252611 · PRP18784[/QUOTE]


Congrats :toot:

[CODE]time ./pfgw64 -k -f0 -od -q"(2^62581+1)/3/1958759661815921/330100331790953723/3746586115387179252611" | ../../coding/gwnum/bpsw-2 - 1 2 62581 1

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

real 0m2.226s
user 0m2.392s
sys 0m0.012s
[/CODE]

60k-63k
[CODE]2^60013+1 = 10622498326640071325929
2^60013+1 = 21235164036950971
2^60029+1 = 141314942210915112049
2^60029+1 = 14365965199172414347753
2^60029+1 = 80084521199508240089
2^60037+1 = 1344227040302218758702179
2^60037+1 = 1863129603863080019
2^60037+1 = 2847187507574801
2^60041+1 = 2869077318697158838187
2^60041+1 = 7935253562567490494963
2^60091+1 = 45634402396521148503353
2^60101+1 = 776313743932821387140483
2^60103+1 = 3192305561962843
2^60103+1 = 58882471671899729029433
2^60107+1 = 36489011186238482329
2^60127+1 = 3040518984911440859
2^60169+1 = 480750031417531
2^60223+1 = 1016052460307744987
2^60251+1 = 91941428904101999723
2^60257+1 = 2637965982408049838723
2^60259+1 = 7317946188263223641
2^60289+1 = 71050203952424309771
2^60293+1 = 505804243297312681
2^60317+1 = 87780356386715799695227
2^60397+1 = 5025974352610696776409
2^60457+1 = 369947808526603
2^60509+1 = 20396240340212235394385729
2^60521+1 = 430800369141387433
2^60539+1 = 10309509934845883324975339
2^60589+1 = 407778231901356427
2^60607+1 = 2528885035906137697
2^60607+1 = 474473682371965019
2^60631+1 = 25558554126440731137227
2^60649+1 = 959472379097316131
2^60659+1 = 2349883462647527507
2^60679+1 = 35953324878575724345619
2^60703+1 = 12590561634715387
2^60703+1 = 45118248209027667942883
2^60719+1 = 42087832992593419206427481
2^60757+1 = 4793419974862426846259
2^60773+1 = 15553136921660013839731
2^60779+1 = 250480140387460747
2^60811+1 = 107099142063686147
2^60859+1 = 250899842753474203
2^60887+1 = 11315545789290437900718859
2^60919+1 = 203013696428367971
2^60923+1 = 1071299720791171360012922297
2^60923+1 = 73816636724542258592579
2^61001+1 = 453086242803563
2^61027+1 = 1092048332703757019
2^61031+1 = 239249301908401571
2^61031+1 = 5946914653537341923
2^61051+1 = 3760765335396464563457
2^61057+1 = 979154747509810701614285803
2^61151+1 = 77575900232132921
2^61153+1 = 9683794508973516930259
2^61283+1 = 1599646274413841723
2^61283+1 = 261729678377273
2^61297+1 = 230041435081471291
2^61333+1 = 122093697040952511476551993
2^61357+1 = 584227854365391121
2^61379+1 = 17794008173331883
2^61409+1 = 3380744447532379
2^61409+1 = 436226494246314898361
2^61417+1 = 222682707721106595620487497609
2^61441+1 = 6300445442936140019
2^61469+1 = 1354799257878100852627
2^61469+1 = 63239101727820719938091
2^61511+1 = 1093653941445992683
2^61511+1 = 35976986732571707
2^61511+1 = 45466807817825901539
2^61543+1 = 409958007445049174497
2^61547+1 = 3141045652858871137
2^61631+1 = 7032975205281599883731457761251
2^61637+1 = 1661971505676660311561
2^61657+1 = 196916895913408019
2^61657+1 = 7263374540828172272497
2^61667+1 = 12200006344553779
2^61667+1 = 3581451335047874468267
2^61667+1 = 997307813433907
2^61703+1 = 17846188377544965403326390787
2^61703+1 = 380540646330289
2^61703+1 = 40489713800388655163
2^61717+1 = 7175315091040121
2^61729+1 = 2284108593461138205529
2^61729+1 = 36331683330662695994939
2^61757+1 = 44085423329382955097
2^61819+1 = 16017379052476979
2^61819+1 = 27969898205904957419716680073
2^61909+1 = 11429410459248449
2^61909+1 = 20641734936822725113
2^61927+1 = 67780893401792931977
2^61933+1 = 7518478402199811812622739369
2^61967+1 = 119040030117266977
2^61967+1 = 49163164824047969347
2^61979+1 = 20437316338461356029502689
2^62017+1 = 262636386319052286011
2^62047+1 = 7227172705577383499
2^62047+1 = 8292493510810817089
2^62053+1 = 295298623582928229818474779
2^62099+1 = 2474567254211171929
2^62131+1 = 854250316468193501683
2^62137+1 = 11525180766737113570320353
2^62137+1 = 1397592254604251
2^62137+1 = 14239331818405699
2^62137+1 = 164961090990419
2^62171+1 = 6054654854253996702251
2^62191+1 = 2232545763930587641770139
2^62219+1 = 97401484957275209003
2^62299+1 = 699643095291089
2^62401+1 = 104260322381837876833
2^62417+1 = 9948192300096160793
2^62423+1 = 11256369413120473
2^62459+1 = 839110269596523933974321
2^62477+1 = 3748491523925973390737
2^62477+1 = 39836091741011916089
2^62501+1 = 6003030404449721
2^62507+1 = 139201994098384753
2^62539+1 = 827485637368975027
2^62563+1 = 4887167767253521553
2^62581+1 = 330100331790953723
2^62581+1 = 3746586115387179252611
2^62591+1 = 38741199159855513265403
2^62591+1 = 572057242471967371289
2^62617+1 = 8412429027171963931
2^62633+1 = 2650262527492843739309521
2^62659+1 = 4217725003811083727874451
2^62659+1 = 4727019211972374293033
2^62687+1 = 913305064651938331
2^62743+1 = 506663811556417
2^62753+1 = 149006668283895916633
2^62827+1 = 961777769086588723
2^62861+1 = 516178834391725073
2^62861+1 = 6019210949333683
2^62897+1 = 14658021434042098246801
2^62897+1 = 1558711498348233379
2^62927+1 = 261319465607325666305147
2^62927+1 = 691911801147112129
2^62929+1 = 205899643289639950837600619
2^62939+1 = 1592266582109050382603
2^62939+1 = 53821577177750209369
2^62939+1 = 715815323534566732463969
2^62969+1 = 31347989423467985449
2^62981+1 = 431577658342651
2^62983+1 = 403158714227005416318467[/CODE]

63k-66k
[CODE]2^63029+1 = 696634309814635251379
2^63073+1 = 235651019678932577
2^63079+1 = 2854917660690983219
2^63127+1 = 163627284854439617
2^63127+1 = 333787284109646101235929
2^63131+1 = 5795688532914011
2^63149+1 = 118436974502624836139
2^63149+1 = 221311708850321321
2^63179+1 = 101747462219237953361
2^63241+1 = 91029421450752229653881419
2^63247+1 = 207160540030985336099
2^63277+1 = 75828169865220510889601
2^63281+1 = 356820244124177563
2^63299+1 = 7583698330847494421921
2^63311+1 = 12747451597957864063651
2^63313+1 = 18238998797913787
2^63317+1 = 24192515206225459
2^63337+1 = 340353570696283142595811
2^63389+1 = 143516641316653753
2^63391+1 = 9330954590288010521
2^63421+1 = 41804091224135113
2^63463+1 = 5623233816603439825495753
2^63473+1 = 108147019846616587
2^63527+1 = 64253025578202163621769
2^63533+1 = 155088650542800187
2^63559+1 = 3548239563729587
2^63589+1 = 84468574091829841
2^63607+1 = 42713408662472081727617
2^63629+1 = 18118083331085118107
2^63667+1 = 83685657856456259
2^63691+1 = 3938763945967128683
2^63719+1 = 119325889220861663521
2^63727+1 = 160771335659593
2^63727+1 = 20424493601794907
2^63727+1 = 52518617657730569
2^63727+1 = 710937649684526660243
2^63743+1 = 159281514646907
2^63799+1 = 17099599148442634651907393
2^63803+1 = 2810101363089913
2^63839+1 = 10524371439589369
2^63841+1 = 1443862667864061619
2^63857+1 = 125421316817540245603
2^63863+1 = 2815348261695449
2^63913+1 = 453409128993859
2^63929+1 = 606152239831051
2^63977+1 = 502772955076603
2^63997+1 = 862217354901183643
2^64007+1 = 4745537848213366681
2^64037+1 = 4325576442297915095446691
2^64063+1 = 2685836417856090881
2^64081+1 = 100357417925229413218969123
2^64091+1 = 83474949229422126097
2^64109+1 = 1320424337489386543363
2^64151+1 = 112058705693115862995034543733065342527211
2^64157+1 = 2102633626369165163
2^64157+1 = 36741129757030862909553881
2^64157+1 = 783583326674377
2^64231+1 = 3835667478062219726489
2^64279+1 = 600020909395109895659
2^64301+1 = 50308112377956260746201
2^64373+1 = 148493123847116978775731
2^64373+1 = 9196460607830645447633
2^64381+1 = 2145581331546439273
2^64399+1 = 270440728466409848563297
2^64403+1 = 13499391380645479015526363
2^64439+1 = 1075377076257882039259
2^64451+1 = 522975256676833889
2^64453+1 = 830169255362281
2^64483+1 = 28985740181987489233
2^64489+1 = 17333558388858853091
2^64489+1 = 799018999063100929123
2^64591+1 = 1282621261225277546737
2^64601+1 = 43238353180408779195043
2^64609+1 = 49508039803588489
2^64613+1 = 53117660944031541671969
2^64627+1 = 35092382992625921
2^64633+1 = 1592578462462931
2^64717+1 = 652025681383812779
2^64763+1 = 108565965025854923
2^64763+1 = 18478065862625992921
2^64763+1 = 4281593005798457
2^64811+1 = 168754174582369
2^64811+1 = 1780235517709999379
2^64817+1 = 105305802818231392844174713
2^64849+1 = 12405456423665771
2^64877+1 = 231252742551038627
2^64877+1 = 2577359216943468426289
2^64877+1 = 79456522445364631841
2^64879+1 = 219131940120644474392169
2^64919+1 = 506386771627614499285673
2^64969+1 = 2223286641153881
2^65027+1 = 148412698744643
2^65063+1 = 13756355917335947
2^65063+1 = 40533309198147131
2^65071+1 = 107391791142937011145160923
2^65089+1 = 21892547553332532043417
2^65099+1 = 24511258736809753
2^65101+1 = 7578013206027699953059
2^65129+1 = 10185675333209329
2^65129+1 = 1431319768421664041
2^65147+1 = 672755939180979179
2^65171+1 = 174443199126102307
2^65171+1 = 7623966613353028577
2^65173+1 = 8938353792972807132617
2^65203+1 = 23934991441044833
2^65213+1 = 2917940675706347
2^65239+1 = 3471188865563449921147
2^65269+1 = 121374380225706564793
2^65323+1 = 5554943036533769
2^65323+1 = 56355618237368545603
2^65353+1 = 31189339507228070606297
2^65371+1 = 21997117891193213011
2^65371+1 = 7696526328870419
2^65393+1 = 269965193927297123
2^65407+1 = 24156462490356737
2^65413+1 = 254878579091329
2^65413+1 = 437752871137969
2^65437+1 = 16778227002081896708603
2^65437+1 = 487368433453339
2^65519+1 = 157526450600489
2^65539+1 = 225395061638710121127997523
2^65551+1 = 113862705223017977
2^65557+1 = 3212038841346097457
2^65563+1 = 3154566333535446224209
2^65579+1 = 3465699427030799901289
2^65687+1 = 2737619893994008033
2^65699+1 = 30533108418903612707
2^65701+1 = 1908071388122833
2^65701+1 = 9722176130638555921
2^65713+1 = 55525336633325513
2^65717+1 = 1972661968855175385927761
2^65761+1 = 164901189994571
2^65777+1 = 44741042186681943689
2^65837+1 = 11628943726899175150883
2^65837+1 = 1177687273455841
2^65867+1 = 24093518471051083121
2^65867+1 = 70048947327183351383851
2^65881+1 = 988781880288489341291
2^65881+1 = 991992810726619217
2^65957+1 = 111659343744678451
2^65957+1 = 11775541942680641
2^65957+1 = 6883067490538912427291
2^65981+1 = 1541459101669123969
2^65981+1 = 56545795762813866885589739
2^65983+1 = 18136174557135499
2^65993+1 = 96580700943540129045083[/CODE]

66k-70k
[CODE]2^66029+1 = 4682229387671684604187
2^66037+1 = 35517247369506232638683
2^66041+1 = 348438464152937
2^66047+1 = 179071539232518643
2^66067+1 = 479971537857187908923
2^66089+1 = 154776589108819
2^66107+1 = 558119515836894954836232523
2^66109+1 = 149950496615364560363
2^66137+1 = 12527674461124562399657
2^66161+1 = 2328308841001652387038915129
2^66169+1 = 97836117365181952764285307
2^66221+1 = 3144013238125282387
2^66301+1 = 105548443558976905464577
2^66347+1 = 187854267762745377248683
2^66361+1 = 15912574427040812136853670827
2^66361+1 = 4752670124621845180553
2^66361+1 = 841247640280067
2^66361+1 = 983920209032784017
2^66373+1 = 90007853404346531
2^66377+1 = 1802595732315467
2^66383+1 = 18771259608914243
2^66403+1 = 2109629947260867497
2^66431+1 = 3345047821173736059219923
2^66467+1 = 938465863118406377
2^66491+1 = 112545331226264752020299
2^66499+1 = 257750511013773899197073
2^66509+1 = 990401219296098900247916809
2^66541+1 = 1495150995199643
2^66569+1 = 28659589503877085521
2^66571+1 = 28771871363430955888246337
2^66571+1 = 486013112398731564436217
2^66601+1 = 127707655528777153
2^66617+1 = 4459193494437553
2^66653+1 = 15728635469167987959323
2^66653+1 = 381518611581353
2^66739+1 = 172420939219174797539
2^66749+1 = 3174123408633161220706411
2^66751+1 = 1301031772982307610841
2^66797+1 = 78365211217897340589001
2^66809+1 = 25471853005018482259
2^66821+1 = 173148573907340043091
2^66851+1 = 8302769164502137081
2^66883+1 = 37251400651329152459
2^66931+1 = 3323425053052361633339239104281802827
2^66931+1 = 76213325641162739
2^66959+1 = 211531659313336081
2^66959+1 = 823157503466088107
2^66977+1 = 141904123123034046097787
2^67021+1 = 15218086458139653121387
2^67021+1 = 2374941315543634934140771
2^67021+1 = 4556649273753174337
2^67043+1 = 96718010377702277481419
2^67049+1 = 3535792083935832049794827
2^67129+1 = 35299666869673188913897
2^67139+1 = 264031237859507
2^67157+1 = 2545112724956308205826923
2^67181+1 = 191567786274789520570001383217
2^67181+1 = 315304912052569874795321497
2^67189+1 = 498963641473444920659
2^67217+1 = 191096343709374513259
2^67261+1 = 7500260470921144912009
2^67273+1 = 11109877147035079409
2^67273+1 = 12786526706312420973739
2^67339+1 = 75226525152346126921
2^67349+1 = 7674755395215313
2^67391+1 = 98638952687598091
2^67399+1 = 3351222406965187
2^67399+1 = 8879670131493024133175657
2^67429+1 = 52786862383461730339
2^67453+1 = 27658107567464468363281
2^67453+1 = 806195192162919883
2^67477+1 = 6115886865496657
2^67481+1 = 35352536619331621181587
2^67481+1 = 7982706522180866081149633
2^67489+1 = 143322134297030869489
2^67489+1 = 399767591357443165431307
2^67489+1 = 85876801863530368527761
2^67499+1 = 440713272070331866147
2^67537+1 = 12077109739922588899337
2^67537+1 = 1794431197403203763
2^67547+1 = 1057823669930330987
2^67547+1 = 165027455432923067
2^67559+1 = 3757752421392718981952939
2^67579+1 = 395006832190443194489
2^67589+1 = 28125214088228219555953
2^67601+1 = 84710224755148644858270899
2^67607+1 = 23606129668968272291
2^67651+1 = 140042743586095312333932698323
2^67679+1 = 110496492499384723
2^67733+1 = 16991969657848707538771
2^67757+1 = 1547902431170119918163
2^67759+1 = 3691743741330262150335091
2^67763+1 = 267486530747742713238005443
2^67829+1 = 4747853787789189529
2^67853+1 = 1950251814680685008249
2^67853+1 = 3002577996005165899
2^67883+1 = 389685622427711777
2^67901+1 = 167913890504273377
2^67927+1 = 13143780749388635751499
2^67931+1 = 739382026252785353
2^67939+1 = 8157446235974768796473
2^67943+1 = 221983066119994476491960867
2^67961+1 = 166557299327963
2^67961+1 = 83670937404870624859
2^67979+1 = 519531720469087203432607603
2^67979+1 = 69988934314981296707
2^67987+1 = 3849030004622719547
2^67993+1 = 158334727151926117099
2^67993+1 = 892819458308507
2^68023+1 = 180212008267777
2^68023+1 = 795280454454108769
2^68053+1 = 1183297602887849
2^68071+1 = 4898012655892680871721
2^68141+1 = 110545591670332043
2^68161+1 = 580057676552611
2^68213+1 = 7689166188642383572177
2^68279+1 = 4079733179203793
2^68311+1 = 1628153211407223289
2^68311+1 = 2735097071107481
2^68329+1 = 156735660208301925985498081
2^68351+1 = 30758436849203994299
2^68371+1 = 159216858574858387
2^68437+1 = 27498268649021207708507
2^68449+1 = 55998638924393723
2^68449+1 = 86874075238293154547
2^68477+1 = 412652114788709142961283
2^68483+1 = 5652921209437764621005947
2^68483+1 = 974016239808497
2^68491+1 = 51285160191293183714843
2^68501+1 = 1538786629719922650472081
2^68507+1 = 70588460413492269914593
2^68531+1 = 2177413703745136135360051
2^68531+1 = 786865741704958313
2^68543+1 = 6011537703826281624419
2^68567+1 = 73484844170042713
2^68567+1 = 90193429887166257601
2^68597+1 = 279249912101850598408547
2^68611+1 = 3194904433269516051659
2^68683+1 = 21923008713344797603
2^68687+1 = 506901826764059
2^68711+1 = 133637581215474064092174289
2^68713+1 = 176294669241831638259698389682729
2^68729+1 = 163068574143457
2^68743+1 = 397249206958552363
2^68749+1 = 110616278627541027308249
2^68771+1 = 25210324699478772906053033
2^68777+1 = 2529985912591769267
2^68813+1 = 2688694569113449745604491
2^68821+1 = 18778712075563900045624403
2^68891+1 = 126257308593089153
2^68891+1 = 25680074084892672746683
2^68897+1 = 1393743511847347083889
2^68917+1 = 3549372970829097299
2^68993+1 = 140464914810879283
2^68993+1 = 7108015059251218210531
2^69029+1 = 12969505272600013978793
2^69031+1 = 232868144767171
2^69031+1 = 77663942411966463821603
2^69061+1 = 10568018443460280617
2^69119+1 = 180754642953793
2^69143+1 = 11091129295927541881
2^69197+1 = 303707507816658224603
2^69239+1 = 127013769164110489
2^69257+1 = 35697650773175059187059
2^69259+1 = 47101939684803725779
2^69371+1 = 8652743650055703272923
2^69379+1 = 31988049702673777
2^69379+1 = 469680559861807567171
2^69389+1 = 2203018766133914891
2^69431+1 = 744365146855750931115089
2^69467+1 = 2493902245351333716986335939
2^69497+1 = 32655916814200145971
2^69593+1 = 47620670021624028958033
2^69623+1 = 42331276981729361155121
2^69691+1 = 207438238956982404490313
2^69737+1 = 12882828524691526201
2^69779+1 = 1870811869941369587
2^69779+1 = 5067233861608832923
2^69809+1 = 2584229926382101099
2^69833+1 = 167340523560282197903989241
2^69833+1 = 194138375888823573430603
2^69847+1 = 1915922439158489
2^69857+1 = 480196463614849
2^69899+1 = 7471577301522497
2^69941+1 = 9215690152724147[/CODE]

[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