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-   -   Status of Wagstaff testing? and testing Mersenne primes for Wagstaff-ness (https://www.mersenneforum.org/showthread.php?t=23523)

 axn 2020-08-28 01:33

178k-179k

[CODE]2^178021+1 = 53291761850599835531
2^178067+1 = 1320625435316852603
2^178067+1 = 7198050638355970137286058849
2^178117+1 = 28267026588553964047770067
2^178187+1 = 1666952508666434561953
2^178187+1 = 3987353679176770363576663409
2^178207+1 = 69222990918768170609
2^178223+1 = 208603312013319939787
2^178223+1 = 536925465345546485027
2^178249+1 = 5618687141945356859
2^178361+1 = 71459459341152021865721
2^178439+1 = 994242993702109195786529
2^178469+1 = 3564375812775506533081
2^178481+1 = 6034758874709906587
2^178501+1 = 739710672946414640659
2^178513+1 = 6211768678058763258039737
2^178571+1 = 693757174623898333156217
2^178597+1 = 115568704378887143467
2^178603+1 = 1228180794092911891
2^178609+1 = 27807031046655414731
2^178609+1 = 82419738909549593
2^178757+1 = 80946102539918003
2^178781+1 = 75029333777378383374443
2^178873+1 = 512831560613449313801
2^178873+1 = 652605318677656051
2^178877+1 = 1139256817532672225369
2^178877+1 = 12240801230984419080530203
2^178889+1 = 4068422916356557067
2^178931+1 = 2855527131600066321361
2^178931+1 = 531848550531075775729
2^178939+1 = 18416852333702095624018239017[/CODE]

 axn 2020-09-07 14:41

179k-180k

[CODE]2^179029+1 = 41310431965823413656683449
2^179083+1 = 1792200143196195457427
2^179083+1 = 49812943670932589645593
2^179089+1 = 16737373736913886523
2^179089+1 = 957393083474638075481
2^179111+1 = 1066049309575603259201
2^179143+1 = 1397764894674620419
2^179161+1 = 20194520235891693617
2^179173+1 = 234852915502796438223403
2^179261+1 = 12604267692368831777
2^179321+1 = 321998202625312393
2^179393+1 = 4302654896542853030849
2^179411+1 = 48151399090193134036219
2^179411+1 = 79524658079866817
2^179429+1 = 1364797644970471222619291
2^179471+1 = 98802492176214528985302961
2^179497+1 = 248550391357724982601
2^179497+1 = 269544824884305318011
2^179497+1 = 2851639606810720433
2^179533+1 = 19994211801775261441
2^179533+1 = 501723940682809073
2^179563+1 = 3353767919279618803
2^179579+1 = 256541036618455051
2^179593+1 = 143384779232532923
2^179651+1 = 867584388379744930801
2^179657+1 = 4320142403979007848169
2^179687+1 = 5587195625643711681817
2^179717+1 = 37908666370916547060764963
2^179737+1 = 713040758985623177
2^179749+1 = 1616107599536428579753
2^179749+1 = 200954146198827200233
2^179807+1 = 5578751369046860419
2^179813+1 = 13307154381001902689
2^179821+1 = 1922115423305084700547
2^179821+1 = 3189812303164635961
2^179827+1 = 90076076690414251
2^179903+1 = 136266996668788362067
2^179903+1 = 1888396336891729595818532747
2^179939+1 = 2339781110851374977
2^179947+1 = 15107071402517353081
2^179951+1 = 1858344078223577742907
2^179981+1 = 177074530660671446281
2^179989+1 = 49210950478067983571[/CODE]

 axn 2020-09-15 02:02

180k-181k

[CODE]2^180073+1 = 529177529574833417081
2^180073+1 = 57294368098941995181747710561
2^180097+1 = 13481683846649636744156659
2^180161+1 = 3338880716108152547
2^180179+1 = 955625595136915380089
2^180233+1 = 166220683215372445095619
2^180233+1 = 94261133454035201
2^180241+1 = 207833611704680977
2^180241+1 = 422822589445998139
2^180281+1 = 35663766151341525799331
2^180311+1 = 21704894721522377731
2^180361+1 = 6475638326967574998649033
2^180371+1 = 810481362170037427
2^180379+1 = 340037218067125579270218161
2^180391+1 = 898235879844004769
2^180491+1 = 37036341608895034507
2^180511+1 = 5814302847706220731
2^180539+1 = 4647977469897069273733841
2^180569+1 = 1593528697398056963
2^180617+1 = 269923610359415938837174961
2^180623+1 = 515062568237368837513
2^180647+1 = 37483055369357702339
2^180647+1 = 639387966991450553
2^180773+1 = 226309505931986731
2^180793+1 = 11512535529178632787[/CODE]

 axn 2020-09-23 17:11

181k-182k

[CODE]2^181031+1 = 4539282868521690809873
2^181087+1 = 583220928363898193
2^181201+1 = 378599683202077370507
2^181211+1 = 78063361679692049
2^181219+1 = 1568762826538016763403
2^181303+1 = 153584660956548721937
2^181361+1 = 12437681378122578502301977
2^181499+1 = 74689718897841953
2^181513+1 = 20808159917538173504753520643
2^181607+1 = 79579560850048926763244587
2^181609+1 = 89900693675604913
2^181639+1 = 125415244545953953
2^181669+1 = 6548327960020933936849
2^181729+1 = 71068116110675243713
2^181763+1 = 376866099304982053073
2^181787+1 = 122720545958534750700137
2^181787+1 = 144290716066803298125083
2^181903+1 = 6290744768958448209371
2^181967+1 = 13049862603959197428584662153
2^181967+1 = 377894824970618539043
2^181967+1 = 406514768563919642057
2^181981+1 = 56520745580298161651
2^181997+1 = 159794311221439171[/CODE]

 axn 2020-10-02 14:25

182k-183k

[CODE]2^182009+1=147704046657248152898401
2^182009+1=3193379401330177797011
2^182009+1=3375236255839455737
2^182027+1=157795743703740834520057
2^182141+1=149277234675966874085704891
2^182201+1=3171648186404257966729
2^182233+1=1266997331431563169
2^182309+1=24747088651038082523
2^182339+1=221410655646133427
2^182423+1=20330740652063076885457671337
2^182431+1=156213670478276789249
2^182453+1=945675125808261721
2^182471+1=4439534693941471489
2^182473+1=2321706645261050543641
2^182549+1=183563511473106769
2^182549+1=252695093065224758909377
2^182549+1=314927458071282907
2^182579+1=21394458720180635603
2^182579+1=63933191183736987257
2^182587+1=974559927115813141723
2^182599+1=769820413757295617
2^182659+1=347990438059357014811
2^182681+1=1580731008780796761323
2^182681+1=4904379224933459003
2^182747+1=1179274237772842619469401
2^182813+1=245781857305610299
2^182821+1=175725262564545628217
2^182851+1=708365715277962343775531
2^182857+1=61704130979618646907897
2^182899+1=645646732509462251
2^182927+1=345186007486111171
2^182969+1=282616890610721811457
2^182999+1=8063152111815790793[/CODE]

 axn 2020-10-10 16:55

183k-184k

[CODE]2^183023+1 = 173261792843097073
2^183023+1 = 38817123227377773657403
2^183037+1 = 166240186193141251
2^183041+1 = 16275694048614271643
2^183059+1 = 130017100225269608033
2^183263+1 = 6331398879810158411
2^183299+1 = 234196071878425023827
2^183301+1 = 4972355695277840903927867513
2^183317+1 = 12661592478563752178731
2^183329+1 = 465375001540402211
2^183349+1 = 4868930043760680734633
2^183473+1 = 987820708035368209521787
2^183479+1 = 44945855745992915668184731
2^183499+1 = 251405290608965586146849
2^183523+1 = 38695085589353569417
2^183527+1 = 628227925122907807457
2^183577+1 = 705312049002373642943419
2^183581+1 = 8905373881779336251
2^183587+1 = 9770648145314670869600735083
2^183593+1 = 5512504291078844649143513
2^183593+1 = 6261883530799682033
2^183661+1 = 18173807503982608850473
2^183661+1 = 27593325213055472169495689
2^183661+1 = 890152633522517587
2^183691+1 = 17289439100059684057
2^183713+1 = 6061598272229395361
2^183713+1 = 72010388113014047243
2^183761+1 = 68622483756858527411
2^183763+1 = 650139235627058227
2^183871+1 = 4429425839405638777
2^183881+1 = 2200384144207391493073
2^183919+1 = 154806913788870768809
2^183919+1 = 687879206778434603417
2^183949+1 = 34725231779069664438673
2^183959+1 = 2278262338184428378337[/CODE]

 axn 2020-10-17 10:34

199k-200k

[CODE]2^199037+1 = 627249193279444185889
2^199039+1 = 87865287613670545729
2^199207+1 = 9285128156437126547
2^199211+1 = 1869890775733000036955833
2^199261+1 = 974567960511316133064329
2^199313+1 = 13756261357612464416502377
2^199321+1 = 16609916576767395929
2^199337+1 = 3195824516059103366436721
2^199343+1 = 22278650806148599320260459
2^199411+1 = 26504605204831974277633
2^199417+1 = 20757588390224711897
2^199429+1 = 26158792371874488763
2^199483+1 = 471188772527423411
2^199499+1 = 1811158677035064361
2^199567+1 = 258194012934333959611
2^199601+1 = 43344907522208588921
2^199603+1 = 28347150311680313899
2^199621+1 = 19501751067945785123
2^199669+1 = 2508296832101205080449
2^199669+1 = 7410943300114429746337
2^199679+1 = 1028301583180840667
2^199679+1 = 47858615103672488787801419
2^199739+1 = 10383033183173371339
2^199741+1 = 7621721631112074281
2^199751+1 = 544143162346832796731
2^199811+1 = 4787981773776007738284721
2^199831+1 = 74576072712743803
2^199853+1 = 501340793444989088003467
2^199889+1 = 52390449430416310066057
2^199909+1 = 2345124216393177261985177
2^199921+1 = 8849696089760690939
2^199933+1 = 2165265363881163107
2^199999+1 = 39735537531993746627[/CODE]

 axn 2020-10-20 05:42

184k-185k

[CODE]2^184031+1 = 3066962055535703524782090187
2^184031+1 = 3310916668900935201649
2^184031+1 = 8537179521952278577
2^184081+1 = 19318835619480293871001
2^184081+1 = 5034321118894336579
2^184081+1 = 5243565628852248187481
2^184081+1 = 59243192947282906186843
2^184133+1 = 351173386292878649
2^184157+1 = 53627867042207311129
2^184231+1 = 1771891233195933859
2^184241+1 = 17227842942716944474051
2^184271+1 = 110264439872492823193
2^184309+1 = 216246940554216151171
2^184333+1 = 3091721661327139913
2^184369+1 = 4239696475972239881
2^184409+1 = 189807753609030563
2^184417+1 = 19619875484417798422187
2^184441+1 = 401543714356157253763
2^184447+1 = 28004964941318022711118900125547
2^184463+1 = 22159315829096659846547
2^184489+1 = 23758791026251903889
2^184633+1 = 161412433998258689
2^184649+1 = 332583936171794609
2^184703+1 = 41773506728059032309841
2^184727+1 = 516823512414564091241
2^184753+1 = 949999839149831737
2^184777+1 = 1398664806371493547
2^184777+1 = 21729140951308158457
2^184777+1 = 85622679826676600514329
2^184843+1 = 158300940806054833
2^184879+1 = 31303309846773951241
2^184969+1 = 2889189374903494222913
2^184999+1 = 255123726782013857[/CODE]

 axn 2020-10-28 01:28

185k-186k

[CODE]2^185027+1 = 1083777842499641953
2^185027+1 = 89787141833932019
2^185057+1 = 282852866698072157681
2^185077+1 = 16919021276013747377
2^185089+1 = 10900699594074604881521953
2^185089+1 = 221798932094409327898715443
2^185123+1 = 249091823540792164193
2^185131+1 = 614631266097437401961
2^185149+1 = 4632054652645851487481
2^185177+1 = 11070289464064123567067
2^185183+1 = 410204248236457001
2^185299+1 = 2726123297546983707881
2^185303+1 = 22030523950409842310815772731
2^185327+1 = 7004644768153282098139
2^185401+1 = 1377284104461902171
2^185401+1 = 44710542352174493027
2^185467+1 = 1570156116294456363238817
2^185467+1 = 55425949518507998201
2^185467+1 = 93286571979743003
2^185477+1 = 623200626015451653236731
2^185483+1 = 170624566503653489
2^185491+1 = 3055170002964841297
2^185519+1 = 226859023207751855611
2^185531+1 = 531996034759495139
2^185539+1 = 929386990693006986364331
2^185567+1 = 932751605797981486313
2^185599+1 = 592285553429279239544919787
2^185599+1 = 854933907480021563
2^185651+1 = 74158574248997652097
2^185683+1 = 697848717937007996393
2^185693+1 = 27819970850774446813219
2^185723+1 = 21118986264580414108696409
2^185749+1 = 90798595301225353
2^185869+1 = 37595098481095045921
2^185873+1 = 824616873826472953
2^185947+1 = 885397338194474559611
2^185959+1 = 460160292352421660563
2^185987+1 = 2089486125043693379[/CODE]

 axn 2020-10-29 01:48

186k-187k

[CODE]2^186013+1 = 15748083763136456177209
2^186023+1 = 2957528297971240769
2^186023+1 = 3402564142067436324961
2^186103+1 = 19771015720037170163
2^186113+1 = 1264254694532649649
2^186113+1 = 1749334182278066622401
2^186163+1 = 222616039509644431342387
2^186187+1 = 13199271202969862921
2^186187+1 = 20019988696652894179
2^186191+1 = 1897101472028076329457131
2^186191+1 = 990277752466980673
2^186211+1 = 122192835705630923
2^186227+1 = 274495111056860933347
2^186239+1 = 50813940129478179431655089
2^186247+1 = 226624428159729731
2^186253+1 = 56961240657650945537
2^186283+1 = 6672183213705107046161
2^186317+1 = 2045450087818948099
2^186317+1 = 80982142529700619
2^186377+1 = 34268714308628897914763
2^186379+1 = 11612837880807314003843
2^186391+1 = 56563876014079737097
2^186419+1 = 28027979928983244920209
2^186419+1 = 494957124478775099
2^186481+1 = 1751994290017631250661457
2^186583+1 = 1184388217657709619005419
2^186601+1 = 461028278059086467
2^186629+1 = 1797521859941530207393
2^186647+1 = 11631782649413914674204313
2^186647+1 = 226623519555038339113
2^186647+1 = 511832426132525161157602049
2^186649+1 = 1964131017769064219
2^186653+1 = 1147521675240936169758979
2^186701+1 = 607703715843134609
2^186709+1 = 5700471557565950178953
2^186733+1 = 3453877838390317145322721
2^186757+1 = 7302570709281500527673
2^186859+1 = 92018509516509165049
2^186917+1 = 887039887286310624322434971
2^186947+1 = 4763529256011569539681[/CODE]

 sweety439 2020-10-29 02:19

Can you give a list for factorization for Phi(n,2), like [URL="https://oeis.org/A250197/a250197_2.txt"]this factorization for Phi(n,2) for n<=1280[/URL], but for larger n, or the base 2 analog of [URL="https://stdkmd.net/nrr/repunit/Phin10.txt"]https://stdkmd.net/nrr/repunit/Phin10.txt[/URL]?

 Dr Sardonicus 2020-10-29 16:32

The [url=https://homes.cerias.purdue.edu/~ssw/cun/pmain1020.txt]Main tables[/url] for the [url=https://homes.cerias.purdue.edu/~ssw/cun/]Cunningham Project[/url] give all that is known as of October 13, 2020 for 2^n - 1 and 2^n + 1, odd n < 1300; 2^n + 1, n = 4k-2, n < 2600; and 2^n + 1, n = 4k, n <= 1300.

I'm not sure about what's known for n > 1300, apart from factors found for specific reasons, as in this thread.

 axn 2020-10-29 16:54

All known factors should be available in factordb.

 axn 2020-11-06 17:57

187k-188k

[CODE]2^187027+1 = 93280062041601923
2^187067+1 = 167657338910185123
2^187073+1 = 1773547043131252961179
2^187091+1 = 7490974414010726201
2^187111+1 = 12085454218928510429154251
2^187123+1 = 15237076331343916532363
2^187129+1 = 13054812070733883811
2^187141+1 = 2767727424596022073
2^187277+1 = 16648130154426565870451
2^187367+1 = 2851213614560745669761
2^187393+1 = 4325900451522429451666409
2^187409+1 = 23682536026839095233
2^187441+1 = 356811465049602822379
2^187507+1 = 136182070752022075763
2^187531+1 = 234824523235406579
2^187547+1 = 21734337743760654848729
2^187559+1 = 119141644147537859
2^187597+1 = 328082017140957356779
2^187631+1 = 135257665033256813773319179
2^187651+1 = 118958604171619114907
2^187699+1 = 16754593966508176403
2^187763+1 = 1594694862869556281
2^187823+1 = 315252188853125984642449
2^187823+1 = 353873670894420161
2^187843+1 = 1611721668010771099
2^187861+1 = 138185409779245238777
2^187927+1 = 1123741668557525881
2^187931+1 = 4158259200700500195538209227
2^187951+1 = 423208240806304897
2^187963+1 = 3539214169878534957289
2^187963+1 = 386995130744702202497
2^187963+1 = 749025383074373851
2^187973+1 = 79294752365737873[/CODE]

 axn 2020-11-07 02:17

188k-189k

[CODE]2^188107+1 = 653775933513408919963
2^188159+1 = 246535478649675829249
2^188197+1 = 3126305333546483489
2^188261+1 = 78508796621992867771
2^188281+1 = 1339468462911942839796641
2^188291+1 = 316432399448701708057
2^188299+1 = 1449215641848983990873
2^188317+1 = 20255826347594739689
2^188323+1 = 13626867339374301014939
2^188389+1 = 1152245956325215859
2^188389+1 = 1423100990824458577
2^188431+1 = 383433379800251747318593
2^188437+1 = 452845870835898197731
2^188443+1 = 60139930851023701311451
2^188491+1 = 38929236513778615057
2^188491+1 = 549676633329942342276889
2^188527+1 = 756255254682346708297
2^188533+1 = 2659395280293844144571
2^188563+1 = 8292813314933361016417
2^188579+1 = 688881947613892821953
2^188677+1 = 1489516446916178953
2^188681+1 = 1221572281895537235162823811
2^188687+1 = 717281332499277471659
2^188687+1 = 816834003221119411531305189827
2^188701+1 = 26101615273658551387
2^188701+1 = 62596401317613830263217412139
2^188707+1 = 2492133954971603804033
2^188711+1 = 3624492595018154981772401
2^188779+1 = 31065038697319181537
2^188827+1 = 174513165543868729
2^188827+1 = 20013002096740787411
2^188831+1 = 13097121949498115833
2^188831+1 = 1828434873324785953
2^188831+1 = 6649806620616851281361
2^188833+1 = 1212315784226053540849
2^188843+1 = 123330837316977943362011
2^188869+1 = 217359754451105353313
2^188869+1 = 755425547490511889
2^188911+1 = 27325390561826338337
2^188911+1 = 6229945467543243091
2^188933+1 = 270142109645531707
2^188933+1 = 3972925038423008816779
2^188939+1 = 314063757512756512344619
2^188941+1 = 141027751669759132883
2^188953+1 = 4024513545065700361
2^188983+1 = 32607615694265360899
2^188999+1 = 278952816848830355483639081
2^188999+1 = 31028514562606473370097[/CODE]

 axn 2020-11-16 18:05

189k-190k

[CODE]2^189011+1 = 2507085911135037069449033
2^189017+1 = 91509819679994113
2^189067+1 = 518379693187305883
2^189127+1 = 172362306382997453347
2^189127+1 = 235186328400822452963
2^189139+1 = 564699739349407470019
2^189239+1 = 18700318729635760587899
2^189253+1 = 814719423304107641
2^189257+1 = 42236768932837975600331
2^189347+1 = 2207587847359101209
2^189361+1 = 256035024256050635747
2^189361+1 = 475342587776255066279011
2^189377+1 = 63331044268486688347427
2^189389+1 = 8601556032018421763
2^189421+1 = 115060887756225619193
2^189437+1 = 75899758083816027655793633
2^189473+1 = 195257878771001947273
2^189491+1 = 319477165871282342449
2^189517+1 = 161470381016653649
2^189529+1 = 1345938364415133107
2^189529+1 = 16159541445823648294547
2^189547+1 = 86651282271389107
2^189583+1 = 41442341065252218871602763
2^189583+1 = 50582790450651796147
2^189583+1 = 6611324380294792241
2^189643+1 = 110550538577484863227
2^189671+1 = 2114152432906445401129534601
2^189691+1 = 258188420009499086003536513
2^189701+1 = 2441840025800070251
2^189767+1 = 2600436807019268827
2^189799+1 = 452281133650851883747
2^189817+1 = 21903853750525520843
2^189851+1 = 1008165824700201179
2^189851+1 = 90605075601528767513737
2^189949+1 = 93046626903765627794041
2^189967+1 = 84913293937093744875721[/CODE]

 sweety439 2020-11-17 16:10

Have all exponents <= 13372531 (the largest known Wagstaff exponent, found in 2013) been tested?

 paulunderwood 2020-11-17 18:28

[QUOTE=sweety439;563506]Have all exponents <= 13372531 (the largest known Wagstaff exponent, found in 2013) been tested?[/QUOTE]

Unknown. We tested up to 10^7. Ryan worked independently to find the two records.

 axn 2020-11-25 05:38

190k-191k

[CODE]2^190031+1 = 48077710933058669722529
2^190093+1 = 55135981143431058671257
2^190121+1 = 38477336342052106777
2^190147+1 = 7832399627127774994007131
2^190271+1 = 96566573425033830294859
2^190297+1 = 74368920726189611
2^190301+1 = 173366336948763307
2^190321+1 = 93677236942153794073
2^190537+1 = 4439215131533896825193
2^190543+1 = 288142184650394248123
2^190543+1 = 5901989372124472593064363
2^190573+1 = 9453550385425692517739
2^190583+1 = 1638182801273110454304073
2^190633+1 = 1124811022503483353
2^190633+1 = 94536947316200563
2^190667+1 = 1887551580498981451
2^190667+1 = 554561060381422935481
2^190711+1 = 7270624885258188731
2^190807+1 = 1789398360174779668481
2^190811+1 = 96798035688331655203
2^190843+1 = 32984909840919336035804449
2^190843+1 = 362659467865533744368059
2^190871+1 = 24789912272846936441
2^190913+1 = 6449646901771763228449
2^190997+1 = 153084291836130139[/CODE]

 axn 2020-11-29 02:32

191k-192k

[CODE]2^191027+1 = 83707242311801130809
2^191047+1 = 215268608996088845861659
2^191173+1 = 483955543477658943227
2^191227+1 = 8352231616484113192919177
2^191249+1 = 3986196224710980257
2^191251+1 = 20071262522741437285409
2^191251+1 = 2160656731797737748831779
2^191339+1 = 49662243586100155331
2^191413+1 = 10271567280280606528793
2^191459+1 = 49935917845311566851633
2^191467+1 = 5067264826567356751313
2^191467+1 = 777474138790398739
2^191533+1 = 26556745693108847467
2^191561+1 = 87506680388694289
2^191657+1 = 754719532512444979
2^191677+1 = 2311549173307975163
2^191689+1 = 326994620734369001
2^191707+1 = 2278691836971857771876779
2^191773+1 = 1625718863126465495723
2^191773+1 = 330301400901882089
2^191783+1 = 7797830980113038539
2^191803+1 = 66650987180533298563
2^191827+1 = 6046163401262031881
2^191831+1 = 20704857534614354604241
2^191837+1 = 8171361078182304019
2^191903+1 = 159099977155956066059
2^191929+1 = 136840905012055681263907[/CODE]

 axn 2020-12-05 01:40

192k-193k

[CODE]2^192007+1 = 4747284486926419751921
2^192013+1 = 20418744627774436944851
2^192029+1 = 173878142347053133819
2^192037+1 = 449175200282212505834563
2^192047+1 = 52268916203404815617
2^192103+1 = 110184757802623419874243
2^192103+1 = 35280129108090039217489
2^192113+1 = 6949683960675151331
2^192133+1 = 7278910741008951043
2^192133+1 = 88553290291099031051
2^192149+1 = 1054227612599591561
2^192187+1 = 58054346475033276649
2^192191+1 = 4599638626568047070366593
2^192193+1 = 1021277370294511898593
2^192251+1 = 14396857581711905299
2^192323+1 = 8506061515542083257
2^192373+1 = 59731185684945241139
2^192383+1 = 17131173829809903972457
2^192391+1 = 2733460399924682369
2^192529+1 = 11338039266311252077339
2^192539+1 = 1107239798697728347
2^192557+1 = 144834169555333202993
2^192557+1 = 2275350485020655841299
2^192571+1 = 2158530200873098643
2^192571+1 = 2292293401422352870049
2^192583+1 = 192455599644767099
2^192583+1 = 60013711685266436723
2^192613+1 = 12039585816201759713
2^192613+1 = 30771887653361759633
2^192613+1 = 6622627280503890236569
2^192613+1 = 82550969604673001
2^192677+1 = 279668360632986529
2^192697+1 = 1753696381861448684227
2^192743+1 = 1340674319541401731
2^192757+1 = 47015517959261867777
2^192833+1 = 109944238389562888806043
2^192859+1 = 215577386848691413691
2^192961+1 = 10014571784976809291
2^192977+1 = 122665688516036753
2^192977+1 = 41088487788666336091
2^192979+1 = 10813180244798202377[/CODE]

 axn 2020-12-06 15:55

193k-194k

[CODE]2^193003+1 = 3619512060014721593
2^193013+1 = 1595625687947231648819
2^193057+1 = 230186313310366661123
2^193073+1 = 11591932521278808971
2^193093+1 = 3511660677938291382499
2^193139+1 = 77357800184227164127883873
2^193147+1 = 4683734698523272715291
2^193153+1 = 4570818000081093227069363
2^193163+1 = 4209468523570747944883
2^193181+1 = 46753455761636361113
2^193201+1 = 7920717475785399763
2^193301+1 = 10375020018607997281
2^193301+1 = 3631758681155192531
2^193337+1 = 116294549059055366731
2^193367+1 = 33467430669130266829577
2^193367+1 = 653291252011103243117771
2^193373+1 = 213199190222051893457561
2^193373+1 = 3032632737157127207970017
2^193379+1 = 6878634871166249474131
2^193393+1 = 1816193363125192902619
2^193393+1 = 2782374591947980577
2^193469+1 = 790487818313924539603
2^193559+1 = 222063282736628852537
2^193597+1 = 341796885487758485387
2^193601+1 = 274668829833055135393
2^193601+1 = 464280560123641413697
2^193603+1 = 120314849506057482737
2^193603+1 = 276182312297837844427
2^193607+1 = 44384468690567418158626537
2^193619+1 = 42637770466918997963
2^193649+1 = 7515777017703208043
2^193649+1 = 957623630807966849
2^193663+1 = 180460878243332873
2^193723+1 = 3061299627814168412316059
2^193723+1 = 65092482151560974417
2^193727+1 = 474540371281804259
2^193751+1 = 236665200624331849848427
2^193793+1 = 113441137914489761
2^193813+1 = 1126111935597462661891
2^193877+1 = 54279841737389970859
2^193883+1 = 92444187675201881
2^193891+1 = 1717965564349933961
2^193891+1 = 33077657606554310171
2^193937+1 = 999667507514684722152403
2^193943+1 = 22030828092784915739
2^193979+1 = 43275660115443749263669601[/CODE]

 axn 2020-12-10 10:32

194k-195k

[CODE]2^194003+1 = 1857608211628879747
2^194083+1 = 13539991743514858464187
2^194083+1 = 3424479298215256507
2^194093+1 = 3202792143198684713
2^194119+1 = 1512827762818668913
2^194197+1 = 1302782765896211084371
2^194239+1 = 4912282038499930691
2^194431+1 = 1298017008003433526843
2^194431+1 = 18563058409851614481369121
2^194431+1 = 7894882781434644448273
2^194507+1 = 270156874791384559470083
2^194521+1 = 92908072756236019
2^194591+1 = 296851229788389641
2^194659+1 = 103450590877792074313
2^194671+1 = 2748941939024023289
2^194687+1 = 16943398467529883849
2^194707+1 = 3048699363200083896923
2^194767+1 = 101464606095123499
2^194813+1 = 113480836295460728920963
2^194827+1 = 10480284658536862313
2^194827+1 = 6559098061987452083
2^194839+1 = 6038783463539614943401
2^194839+1 = 798100920959428771
2^194911+1 = 2545616663768365009
2^194917+1 = 147559760421394765849
2^194963+1 = 729545183879650651[/CODE]

 axn 2020-12-14 08:28

195k-196k

[CODE]2^195029+1 = 34447480161740911597439171
2^195047+1 = 12988353746148897091
2^195071+1 = 34873867980566579651
2^195103+1 = 57093222436578930556627
2^195127+1 = 737167544937375763
2^195157+1 = 53275970824470684179
2^195161+1 = 3016393519715672699
2^195277+1 = 149974712206754987
2^195281+1 = 25375417942014901927739
2^195319+1 = 173296392577701252318779
2^195353+1 = 21690466337675987611
2^195359+1 = 107580752776045841
2^195407+1 = 1662408142558067633426609
2^195407+1 = 615162915729675736177
2^195427+1 = 112855633827872899
2^195493+1 = 20102938237929183691
2^195527+1 = 100623951360729803
2^195539+1 = 976827464700461417
2^195677+1 = 130793807755999285625422626707
2^195691+1 = 597356169038285353
2^195709+1 = 1617955369369767394441
2^195709+1 = 41210447419783620204355699
2^195733+1 = 211029813312664513
2^195781+1 = 97717375084304609
2^195791+1 = 3636093478663590697
2^195863+1 = 20380502879595302777
2^195863+1 = 968504793581422487401667
2^195929+1 = 52499116562610536089
2^195929+1 = 9126746382587566261169
2^195973+1 = 11020163924891218651
2^195973+1 = 16035279819743589907[/CODE]

 axn 2020-12-17 15:33

196k-197k

[CODE]2^196039+1 = 7412595136035802859089
2^196051+1 = 29305441243021759275888079452183060283
2^196139+1 = 10993624280412977347
2^196201+1 = 461221505056240902473
2^196331+1 = 106886425616703668779
2^196459+1 = 15740152059347375089
2^196477+1 = 12002268060822243027553
2^196499+1 = 1026870985167331060579
2^196499+1 = 3081924685785212764459
2^196501+1 = 9687547370554069619
2^196541+1 = 32799048432719699833
2^196583+1 = 29878137539617379939753
2^196597+1 = 2779294068168287507
2^196709+1 = 4343207860752886201
2^196739+1 = 23304390803767042603
2^196751+1 = 199686119208026443
2^196751+1 = 872566129041148215113931427
2^196771+1 = 30819685334848592033
2^196799+1 = 5706832677664073497
2^196871+1 = 975690948850323259
2^196961+1 = 265913871986822161[/CODE]

 axn 2020-12-21 18:12

197k-198k

[CODE]2^197023+1 = 15248082654866523673
2^197089+1 = 378784801903633358243
2^197117+1 = 133458055587472171
2^197159+1 = 111520712868581033
2^197257+1 = 16527556688160486289
2^197261+1 = 45767119887990538856761
2^197261+1 = 825000328517847033393403
2^197269+1 = 466457158899132649
2^197273+1 = 61968220734938966011426714249
2^197273+1 = 69699548674822331282099
2^197347+1 = 396110860108863089
2^197369+1 = 480409460527122911641165653977
2^197423+1 = 22701958995388810319587
2^197423+1 = 234109424412339370409
2^197597+1 = 4595656101030514577
2^197683+1 = 3601711257632203959193
2^197711+1 = 244976742110554393
2^197711+1 = 39151516375017722681
2^197767+1 = 475392682306535412964980041
2^197803+1 = 2397193104197490466262587
2^197807+1 = 71877522051511466443
2^197837+1 = 30953572553018197627
2^197887+1 = 3678819356784737225861607467
2^197893+1 = 10556663937011646187
2^197909+1 = 81145057386270547
2^197957+1 = 1038964215321533527123
2^197957+1 = 6261410804376561787
2^197957+1 = 965352223361605891688153
2^197963+1 = 25376271523805408936699
2^197969+1 = 34613859754051747193[/CODE]

 axn 2020-12-27 08:11

198k-199k

Final range
[CODE]2^198083+1 = 89369268912117721
2^198109+1 = 1429192290851691773681
2^198109+1 = 264167055532834451
2^198277+1 = 8350013695131377906233
2^198281+1 = 133240742423860743787
2^198281+1 = 1836927352202215657
2^198301+1 = 2936303338703459147
2^198337+1 = 147956939667435036230033
2^198347+1 = 110940527345154961457
2^198347+1 = 706316721588302323003
2^198439+1 = 26949324191395707443
2^198491+1 = 15016007391176136463843
2^198533+1 = 5036582912381099440892753
2^198571+1 = 436003515152136697
2^198641+1 = 42609768521096470963
2^198647+1 = 19340590691888939569
2^198689+1 = 12878957565964556947
2^198719+1 = 6061445209035687047777867
2^198733+1 = 2192795538031661177
2^198761+1 = 4498311982344455449
2^198769+1 = 39620248035535635569
2^198823+1 = 8340358358521420219046827
2^198833+1 = 1525973795202788475179
2^198839+1 = 20720693521759924873
2^198851+1 = 29151007328770674371
2^198859+1 = 132868136741243664403
2^198859+1 = 2198450685455690259729204073
2^198899+1 = 13474574921247949027
2^198901+1 = 1266133567111095608161
2^198937+1 = 13668789713972074310963
2^198953+1 = 144523936325439896313165697
2^198977+1 = 13990229907311227019
2^198977+1 = 957856922728714739[/CODE]

[color=red][b][size=4]MODERATOR NOTE:[/size] [color=darkred]axn[/color] informs me that this is indeed final.[/b][/color]