Status of Wagstaff testing? and testing Mersenne primes for Wagstaff-ness

[GP2]

Originally Posted by GP2

(2^1430131+1)/(3*356468732537*36519993971459) is a 430487-digit PRP

I'm going on work on ranges below 1M next.

Tesla V100 is really fast.

In the range from 500k to 1M there were 8541 new second-and-higher factors of size 56 bits or less, and two new PRPs:

(2^730339+1)/(3*27839062003*7943469324347)
(2^758231+1)/(3*27146942976539*73236839266867)

In the 1M to 2M range earlier, I found 16143 new second-and-higher factors of size 57 bits or less, plus the PRP cofactor of exponent 1430131.

[axn]

Originally Posted by GP2

Tesla V100 is really fast.

In the range from 500k to 1M there were 8541 new second-and-higher factors of size 56 bits or less, and two new PRPs:

(2^730339+1)/(3*27839062003*7943469324347)
(2^758231+1)/(3*27146942976539*73236839266867)

[paulunderwood]

Originally Posted by GP2

Tesla V100 is really fast.

In the range from 500k to 1M there were 8541 new second-and-higher factors of size 56 bits or less, and two new PRPs:

(2^730339+1)/(3*27839062003*7943469324347)
(2^758231+1)/(3*27146942976539*73236839266867)

In the 1M to 2M range earlier, I found 16143 new second-and-higher factors of size 57 bits or less, plus the PRP cofactor of exponent 1430131.

Congrats again

 time ./pfgw64 -k -f0 -od -q"(2^730339+1)/(3*27839062003*7943469324347)" | ../../coding/gwnum/hybrid - 1 2 730339 1
                                               
Testing (x + 2)^(n + 1) == 5 (mod n, x^2 + 1)...
Likely prime!

real	5m39.409s
user	11m12.568s
sys	3m39.148s

time ./pfgw64 -k -f0 -od -q"(2^758231+1)/(3*27146942976539*73236839266867)" | ../../coding/gwnum/hybrid - 1 2 758231 1
                                               
Testing (x + 2)^(n + 1) == 5 (mod n, x^2 + 1)...
Likely prime!

real	6m8.764s
user	11m49.092s
sys	4m2.044s

[GP2]

Found one more PRP in the space between 200k and 500k:

(2^318271+1)/(3*46031404238891*654090604244843)

[paulunderwood]

Originally Posted by GP2

Found one more PRP in the space between 200k and 500k:

(2^318271+1)/(3*46031404238891*654090604244843)

Congrats!

time ../../Maths_misc/pfgw/pfgw64 -k -f0 -od -q"(2^318271+1)/(3*46031404238891*654090604244843)" | ../../coding/gwnum/hybrid - 1 2 318271 1
                                               
Testing (x + 2)^(n + 1) == 5 (mod n, x^2 + 1)...
Likely prime!

real	1m17.354s
user	2m19.836s
sys	0m54.920s

[axn]

37000-40000. This includes known factors in some subranges, because factordb was down while i was preparing the worktodo

2^37003+1 = 1420915201
2^37003+1 = 33193957153818718077193
2^37013+1 = 2052375661691
2^37013+1 = 74027
2^37019+1 = 1872582788308966931
2^37019+1 = 28805732125660364618237572867
2^37019+1 = 331062557784977938363
2^37021+1 = 198544733042446002571
2^37049+1 = 170549069563
2^37049+1 = 19046848812337
2^37049+1 = 348706369424206469039371067
2^37061+1 = 1055571403
2^37087+1 = 507221520780316559930265131
2^37097+1 = 120726102593
2^37097+1 = 29158243
2^37117+1 = 3395885477227
2^37139+1 = 2323341563
2^37139+1 = 297113
2^37139+1 = 39388834196251
2^37159+1 = 63681905113
2^37171+1 = 24653089448304419637708571
2^37171+1 = 63896768485290351153073
2^37181+1 = 10352480539710847619
2^37181+1 = 230094333076717255902219511561
2^37181+1 = 3014527271002125673
2^37181+1 = 33015272335964251
2^37181+1 = 563098982615796024731
2^37181+1 = 68710489
2^37189+1 = 227650994088233
2^37189+1 = 246471636131631089089
2^37189+1 = 6094676712751177
2^37201+1 = 155190459014481128705180851
2^37217+1 = 1010339798723
2^37217+1 = 97803131332010077125881
2^37223+1 = 48590531108112962739763
2^37243+1 = 8691195750924721
2^37253+1 = 17285393
2^37253+1 = 5667794205889
2^37253+1 = 96957318381543769
2^37277+1 = 334887800719897018081
2^37307+1 = 223843
2^37307+1 = 829356390050443
2^37309+1 = 157966307
2^37309+1 = 373091
2^37313+1 = 15432656801
2^37313+1 = 602076553280598114577946851
2^37321+1 = 671779
2^37339+1 = 212085521
2^37339+1 = 866563513
2^37357+1 = 214878942960892878685187
2^37357+1 = 76208281
2^37361+1 = 2622527023355489
2^37369+1 = 1511249919050742107
2^37369+1 = 43055105181790921
2^37379+1 = 11737943740793960009
2^37379+1 = 150338339
2^37409+1 = 777807929
2^37423+1 = 817346162713
2^37423+1 = 898153
2^37441+1 = 10306649234215300180365063693731
2^37441+1 = 17672153
2^37447+1 = 224683
2^37447+1 = 84405539
2^37463+1 = 14961584749547166488455613243
2^37463+1 = 6276925651
2^37483+1 = 132130504058380646799662741747
2^37483+1 = 240420502287535968461801713081
2^37489+1 = 108396140344211
2^37489+1 = 174906363754163
2^37489+1 = 391160227
2^37489+1 = 87733463637678258830434201
2^37493+1 = 11924011465563293355697771
2^37493+1 = 132463777228200632538304283
2^37501+1 = 130035482854788306044535027602748487346872118419
2^37501+1 = 158722904893698011798881
2^37501+1 = 5403387905503869889303939
2^37501+1 = 68470121495255575057819249
2^37501+1 = 842696194514699290975843057
2^37501+1 = 975912598643
2^37507+1 = 5968359510851
2^37507+1 = 866489939603
2^37511+1 = 271279553
2^37511+1 = 3445300950251
2^37511+1 = 99680092919521
2^37517+1 = 25179708028609
2^37517+1 = 3249030201283
2^37529+1 = 300233
2^37529+1 = 983051597472245251337
2^37537+1 = 5698412464766177080197327401
2^37537+1 = 7376034013321
2^37549+1 = 4414147325818737479412958657677232873
2^37549+1 = 7719916994593
2^37561+1 = 42449349989402527939
2^37561+1 = 96565827802417000276211
2^37567+1 = 1127011
2^37571+1 = 47414603
2^37573+1 = 23026873567304265868108313
2^37573+1 = 759167513679659730503747
2^37589+1 = 513206311051066361305769
2^37591+1 = 7620766287811429449343649
2^37591+1 = 832309849201
2^37591+1 = 9156164972849
2^37607+1 = 316714836323779
2^37619+1 = 158502013651
2^37619+1 = 192106036718938959518363603
2^37643+1 = 225859
2^37643+1 = 56668755435161
2^37649+1 = 677683
2^37657+1 = 14549211541057
2^37657+1 = 19902446974323307
2^37663+1 = 1033792163798569658809
2^37663+1 = 8843639312947
2^37691+1 = 22117782015703236293422913
2^37691+1 = 8026599979
2^37691+1 = 92368504499
2^37699+1 = 1228384217
2^37699+1 = 5353259
2^37717+1 = 377171
2^37717+1 = 601162354546337
2^37717+1 = 695309291366953
2^37717+1 = 93743677735247659040177
2^37747+1 = 226483
2^37781+1 = 131114845368468979
2^37783+1 = 55320537957544806664467279281
2^37799+1 = 325190987105742613672777
2^37799+1 = 6350233
2^37811+1 = 13883584536740052619
2^37811+1 = 1551691850574613995620329739
2^37811+1 = 2284169988630511177453680088796699
2^37831+1 = 1165086341473819
2^37831+1 = 16013137554265384387763
2^37831+1 = 444928359131424608483
2^37847+1 = 2119433
2^37853+1 = 109912479696841
2^37861+1 = 2430709685782841
2^37861+1 = 37165796107658591217569
2^37871+1 = 190237976850129643019411
2^37871+1 = 32717817289
2^37879+1 = 1371518592405349313
2^37879+1 = 2802031373107
2^37879+1 = 30019984171577
2^37879+1 = 4930519656211
2^37897+1 = 682147
2^37907+1 = 49190549249
2^37907+1 = 6009017386765470689
2^37951+1 = 13056276761449
2^37951+1 = 1317326693076769
2^37951+1 = 8186015386063774192091
2^37957+1 = 120957149286763
2^37963+1 = 1515717222915587
2^37963+1 = 207200167420957512693282641
2^37963+1 = 560003697812988019
2^37963+1 = 8527649239583615926533875749930147
2^37987+1 = 73100055529
2^37991+1 = 42009156107
2^38039+1 = 22225065689787833
2^38047+1 = 15528863002579257978683
2^38047+1 = 33785737
2^38053+1 = 123955284865337
2^38053+1 = 1600175643996580723
2^38053+1 = 2435393
2^38053+1 = 301879833074047672441
2^38069+1 = 90339369030546348814056691
2^38113+1 = 1257265435862630275009
2^38149+1 = 293364462272129
2^38149+1 = 69042441691
2^38149+1 = 871309956757413140853569
2^38177+1 = 293944683395936296211
2^38183+1 = 120972495771623301283
2^38197+1 = 14153959765259759681950627
2^38197+1 = 44294301627577286490982793
2^38197+1 = 465331543814998801
2^38231+1 = 194224184681
2^38231+1 = 59084808624968317266871985107
2^38237+1 = 3432434945455801913
2^38239+1 = 1010694443904059
2^38239+1 = 108472371365958740924524089121236809
2^38239+1 = 276838249299912394134320419
2^38261+1 = 178977271697655505883
2^38273+1 = 299893842589540431107
2^38329+1 = 331784261904358771
2^38333+1 = 2190206422887043718911825146637207947779
2^38333+1 = 6643059220433
2^38351+1 = 1073113155384971
2^38351+1 = 230387036129
2^38351+1 = 71852985475492646766900884837507
2^38371+1 = 17271997398083
2^38371+1 = 58664597775950137
2^38393+1 = 4974117431200206353908053307
2^38393+1 = 6933895087939334477739374039644648668705169
2^38447+1 = 1307962711628697979
2^38459+1 = 161378075344019
2^38459+1 = 3358023995095499
2^38459+1 = 99478827103391188283
2^38561+1 = 2264959044825251842657
2^38569+1 = 19954053842361023676388860017
2^38609+1 = 1369832689310592348481
2^38609+1 = 22930582560916601582233
2^38639+1 = 429008545743567293051719953209
2^38653+1 = 11511391852683937
2^38653+1 = 8339644517950337
2^38671+1 = 37356201411021439699
2^38677+1 = 98358024252111187
2^38693+1 = 9738664074893814405953089
2^38699+1 = 712666806404072499953
2^38707+1 = 6676772786369580809
2^38713+1 = 1007409979309383217
2^38713+1 = 569188694874152576973499
2^38737+1 = 237235469761209058807325683513
2^38747+1 = 306437070575347
2^38747+1 = 881358684476209
2^38767+1 = 725696189283910536067
2^38783+1 = 1049264921655764128177
2^38783+1 = 59017099459
2^38803+1 = 1322424591646264819
2^38833+1 = 36006526120705816387
2^38833+1 = 49445959103737810297
2^38861+1 = 108869264917382555737
2^38861+1 = 554826693692148907
2^38867+1 = 26952010129634667929
2^38873+1 = 3544282919006707
2^38891+1 = 58175957953
2^38903+1 = 525239042921546074296641
2^38917+1 = 730993732365428344579738280707
2^38917+1 = 73874195251
2^38923+1 = 5312442896146702709777
2^38953+1 = 2737426902073211576596721
2^38953+1 = 8701573010099
2^38959+1 = 70606272683212768771946273
2^38959+1 = 989354614347556858123
2^38977+1 = 18855453651329
2^39041+1 = 32793190614847824895739
2^39043+1 = 35890104987155973353
2^39089+1 = 125366675985433272825348289
2^39089+1 = 17325242429459
2^39089+1 = 9632637851329
2^39103+1 = 125753312557913
2^39113+1 = 11118156267917015180706812377
2^39113+1 = 77572884529436099
2^39133+1 = 33661520989841
2^39157+1 = 1171866060686707
2^39157+1 = 4283480472311082411683197853467
2^39163+1 = 72772174950222878336356961
2^39181+1 = 53577039921949479639091
2^39181+1 = 68742519178843
2^39191+1 = 848530783117327879811099954011
2^39217+1 = 1042424260924079754163
2^39229+1 = 2728855915835596553
2^39229+1 = 336077276845619
2^39239+1 = 5099340562622782939
2^39251+1 = 142363553425961664826049
2^39301+1 = 127083792203
2^39301+1 = 357696862066077353277433
2^39301+1 = 6260903355204405049403
2^39313+1 = 20374424633723342598828163
2^39323+1 = 197913374032052099107
2^39341+1 = 4909124119832972467
2^39367+1 = 83586846304513
2^39371+1 = 18136326520776863257
2^39373+1 = 421024243744043
2^39383+1 = 1529481112612456273
2^39383+1 = 6889168405518722123
2^39397+1 = 13311537522511028249
2^39397+1 = 13585692897838927844612947
2^39409+1 = 18641433406605707
2^39439+1 = 668058931844258257
2^39443+1 = 263646741089267
2^39443+1 = 2864408211477568369
2^39461+1 = 2721188686754199931
2^39499+1 = 4037288625491361291973169
2^39541+1 = 657930388587933497
2^39551+1 = 18562150308697
2^39551+1 = 34181980543129
2^39563+1 = 204951840059973635058105331
2^39569+1 = 32871179427953
2^39623+1 = 62125911660495220468127420921
2^39631+1 = 412637954800147
2^39659+1 = 1228311172201016179
2^39667+1 = 1003316203870172995992179603
2^39679+1 = 967460613430018259
2^39703+1 = 4647241470203
2^39719+1 = 251181858462003482249401177
2^39733+1 = 3017196325448873
2^39769+1 = 56486345111691419849
2^39799+1 = 74642469542708917261099
2^39829+1 = 2754896958917667733618193
2^39839+1 = 80924721667
2^39839+1 = 87303104923
2^39847+1 = 306214753119464081
2^39869+1 = 46883784455747
2^39869+1 = 57588709092878450611
2^39877+1 = 156745328243354125673401
2^39901+1 = 12051726620807312209
2^39901+1 = 18557064408251659
2^39929+1 = 900538224364298299249
2^39953+1 = 288317496043137571
2^39979+1 = 600607489967979135350963

[axn]

40k-42k done to t25

2^40031+1 = 6825843174948850751129
2^40037+1 = 1995121642147039741091
2^40063+1 = 11674067422747
2^40063+1 = 63725810321
2^40111+1 = 314419308428273999964329
2^40111+1 = 490437008374332289
2^40177+1 = 847770616389859
2^40189+1 = 74828395182071418367313
2^40189+1 = 765332382508692787
2^40213+1 = 21523465037827640580078913
2^40253+1 = 48015791051
2^40277+1 = 402395474387168992643
2^40283+1 = 366118019587493153
2^40289+1 = 10113952338121
2^40289+1 = 943821051590034481
2^40343+1 = 37176165755867
2^40343+1 = 43577332771028683793
2^40351+1 = 789053537258097401866633
2^40387+1 = 374924164561475827120313
2^40493+1 = 531013407113963654267
2^40519+1 = 5899550538590036299086233
2^40543+1 = 24889524219023414369
2^40543+1 = 8024349314858587
2^40559+1 = 4728386649279539
2^40577+1 = 504447134955878688347
2^40591+1 = 3179034432883
2^40699+1 = 471799196899606441
2^40751+1 = 2491624073156348649611
2^40759+1 = 418945480661650409
2^40763+1 = 24446052218291703426759641
2^40771+1 = 52684144529488525484965169
2^40787+1 = 209460593970292154034386531
2^40819+1 = 2361989536177186273
2^40819+1 = 5479471203526229197726441
2^40823+1 = 111465650227
2^40841+1 = 216150391320481
2^40841+1 = 56860473841
2^40883+1 = 1176804799830337
2^40883+1 = 26936308311822979041198091
2^40897+1 = 102133305011
2^40897+1 = 577663336099
2^40903+1 = 794600290027299649
2^40927+1 = 1201582898292268841
2^40949+1 = 1657418360980836623521393
2^40949+1 = 45336136254376057
2^40961+1 = 177015111801678265085353
2^40961+1 = 251116040248850277833
2^40961+1 = 2896977538130307525059
2^40961+1 = 34165829055443
2^41011+1 = 108259523448390255233
2^41017+1 = 117054536552653886561
2^41023+1 = 230017618985569
2^41039+1 = 77091140102697318361
2^41113+1 = 472114163792135306329
2^41131+1 = 43491163905793
2^41131+1 = 870626128913
2^41143+1 = 528746713301648738579
2^41149+1 = 59308642390432489
2^41189+1 = 111551097787
2^41189+1 = 328493555596187
2^41201+1 = 995088443863492437589747
2^41203+1 = 111055517179
2^41221+1 = 149714898798860511714137
2^41221+1 = 35289106625093460509243
2^41221+1 = 830695403917073
2^41227+1 = 78090608219266810411
2^41231+1 = 49199855379846235891
2^41243+1 = 654092574553057
2^41263+1 = 431332870268411
2^41333+1 = 996702898478432857
2^41341+1 = 1574567570470633139706401
2^41341+1 = 18813331422577811769043
2^41357+1 = 20690616057984225953
2^41357+1 = 368180321342972304208961
2^41389+1 = 1273621435789736281
2^41389+1 = 5509947219644674283
2^41413+1 = 1187373409283
2^41453+1 = 257347865319812279107
2^41453+1 = 397652125190113
2^41491+1 = 349957057682912633491
2^41507+1 = 12225375279462547
2^41507+1 = 2435801685827
2^41507+1 = 2591812236769106781883
2^41579+1 = 148794363103884300529
2^41593+1 = 5124515191105649
2^41603+1 = 4511480536527986709089
2^41611+1 = 10810654830105281
2^41611+1 = 66977195912893651291
2^41627+1 = 323017120097244211
2^41647+1 = 246203231466308941267
2^41651+1 = 21031740395446902497
2^41687+1 = 106806288867034206543433
2^41687+1 = 1652599061111566889
2^41719+1 = 128291089337589056881751449
2^41809+1 = 15361294684874594462464867
2^41813+1 = 419205644805002861219
2^41813+1 = 63584693905736538212691585479689
2^41849+1 = 4515519164169286444987
2^41849+1 = 6220894250707300883
2^41879+1 = 3525249084577189696635059
2^41893+1 = 87580782242955851
2^41897+1 = 174087934860681987986579
2^41897+1 = 2946080967880849
2^41897+1 = 70681156781018051
2^41897+1 = 7518521850259918481
2^41953+1 = 1863180654394006941683
2^41959+1 = 812857944449
2^41981+1 = 6228788678953752209
2^41999+1 = 50122194587

[GP2]

Re: the exponent of the new Mersenne prime:

Originally Posted by ATH

Found no factors of the corresponding Wagstaff number, but it is not prime

[CODE]no factor for W82589933 from 2^78 to 2^79 [mfaktc 0.21 barrett87_mul32_gs]
(and half way to 2^80 without factors)

I finished the TF=80 level:

no factor for W82589933 from 2^79 to 2^80 [mfaktc 0.21 barrett87_mul32_gs]

[paulunderwood]

Originally Posted by GP2

Re: the exponent of the new Mersenne prime:



I finished the TF=80 level:

no factor for W82589933 from 2^79 to 2^80 [mfaktc 0.21 barrett87_mul32_gs]

2^82589933-3 has small factors: 23,40343

Is it time to test the co-factor? Oh no, not Wagstaff

[axn]

42k-44k to t25

2^42017+1 = 886691699693896619
2^42019+1 = 417732519753117761
2^42023+1 = 3100602195814665237569758009
2^42061+1 = 17388552079433
2^42071+1 = 8685786832509707880078961
2^42073+1 = 55587916674931
2^42083+1 = 5619115994299
2^42083+1 = 70372761689852688789433
2^42131+1 = 9706456183811
2^42139+1 = 1349606906779
2^42169+1 = 9310841766271248653563
2^42193+1 = 3910039794186164292337
2^42197+1 = 2585026564291697489
2^42197+1 = 312629471177
2^42197+1 = 83379537053214382482193
2^42209+1 = 2736510773309097377936521
2^42209+1 = 4020000574411866494809
2^42221+1 = 503590555291
2^42221+1 = 50430338172163
2^42227+1 = 572500086846753533626387
2^42257+1 = 111396973747
2^42257+1 = 166072325686050907
2^42257+1 = 2477594507033
2^42257+1 = 4484356671288591673
2^42281+1 = 28011749886368852958593
2^42281+1 = 720904830620426376227
2^42323+1 = 1089455846369507
2^42331+1 = 449344834931
2^42349+1 = 182686699713809
2^42349+1 = 332997005527793
2^42373+1 = 2319545941953331263113
2^42391+1 = 28816636983423534577
2^42397+1 = 6967189683241509697
2^42397+1 = 9816517625495411993
2^42409+1 = 558797154441182147
2^42433+1 = 178085588930333219
2^42433+1 = 95189699557327051
2^42451+1 = 71849516830116297521443
2^42457+1 = 162231894155561
2^42461+1 = 154401189067
2^42461+1 = 26477648307233
2^42467+1 = 266266945245868532100627868819
2^42499+1 = 108202369003
2^42533+1 = 206346016802201
2^42569+1 = 458288382737861716571
2^42571+1 = 11446834368539
2^42577+1 = 1722347250059036803
2^42589+1 = 8085431098126538707
2^42643+1 = 34825939982854079467
2^42649+1 = 4629250424827283
2^42667+1 = 148898976222286403
2^42683+1 = 42951673501445087473
2^42689+1 = 40147467697
2^42701+1 = 51167410692911559751609
2^42703+1 = 78482562611
2^42709+1 = 29307389351085773367443617
2^42719+1 = 478166811903784415681
2^42719+1 = 8079920821053138227
2^42727+1 = 2293160140897
2^42727+1 = 72610809564287064842683
2^42743+1 = 8956082795780217721849
2^42767+1 = 705275985643
2^42773+1 = 28500514837316692931
2^42793+1 = 2516313594016121
2^42793+1 = 67784539931
2^42797+1 = 283975382978710979089
2^42821+1 = 559560302466362132027
2^42841+1 = 130937905201248928783977731
2^42841+1 = 6851471078219
2^42853+1 = 24556136426603877787
2^42901+1 = 38227162996291
2^42901+1 = 702310048283
2^42943+1 = 1335050612583781081
2^42961+1 = 17560798505401
2^42961+1 = 2746319320226309520224761
2^42967+1 = 208572817553
2^42967+1 = 3305515439364643
2^42967+1 = 92179170863612049627187
2^42979+1 = 240306585221616417233
2^42979+1 = 6263974698833
2^42989+1 = 769861553631097
2^43013+1 = 115574525765291
2^43019+1 = 1574589353497
2^43037+1 = 6911714765041066567291
2^43049+1 = 33213180854203739
2^43103+1 = 4472889054262801577
2^43103+1 = 7118635564766718521
2^43189+1 = 240855844219998257
2^43201+1 = 1735228028395870681
2^43201+1 = 5739491282194337
2^43201+1 = 84212625247603
2^43261+1 = 83929985431427
2^43271+1 = 10037796595861470407312801
2^43283+1 = 62188321873
2^43283+1 = 63343792165612243
2^43321+1 = 1241890692407608045690093553
2^43427+1 = 1425019967588219
2^43457+1 = 253569179787059721089
2^43457+1 = 28492742883468130523
2^43481+1 = 109031241328043626820741257
2^43487+1 = 253121771829737378753
2^43499+1 = 1198069396549633
2^43517+1 = 313603786130114561
2^43541+1 = 6999036867603030763459
2^43573+1 = 1447612423701209
2^43577+1 = 1089679093978817927281
2^43577+1 = 7593938671219
2^43591+1 = 20137272471049743923
2^43597+1 = 437554259611811
2^43649+1 = 1058631156827
2^43649+1 = 43527478326911057
2^43651+1 = 58335318669639336786353
2^43661+1 = 12314988901380936055283
2^43661+1 = 1319758144469522935571
2^43711+1 = 36410066961154943472043171241
2^43711+1 = 847794701995402516753
2^43721+1 = 207272783645245298993
2^43759+1 = 13919531199292011399419
2^43787+1 = 228151242338472290395321
2^43789+1 = 9083810944139
2^43793+1 = 948696474735660333379337
2^43801+1 = 18240904902256169857961
2^43891+1 = 2519391968575065215041
2^43891+1 = 3162068910199549035987659
2^43913+1 = 520178675288491
2^43943+1 = 1158580880218568729243
2^43951+1 = 16097989039878114641
2^43963+1 = 212923975603
2^43969+1 = 108819053977
2^43969+1 = 260841343849
2^43969+1 = 28384508275737547937473

[axn]

44k-47k to t25

2^44017+1 = 267194752391898449
2^44021+1 = 124069137634402633
2^44027+1 = 4415740999123244966281
2^44053+1 = 83909550720192670483
2^44071+1 = 287479038209589888223633
2^44071+1 = 596623824186443
2^44087+1 = 19118504572426966659687283
2^44101+1 = 5481190502231761
2^44111+1 = 7252485474922433899
2^44131+1 = 118426799050909889809
2^44131+1 = 5892148311892711168291
2^44159+1 = 111064747249161714194531
2^44189+1 = 18445742035574175107
2^44189+1 = 75695080930251613832367194721319937
2^44203+1 = 131477189257481
2^44203+1 = 1640386491915725523499
2^44207+1 = 389819263644090121
2^44221+1 = 19984311041507290529
2^44221+1 = 5401890805486667595953
2^44221+1 = 84276876062096891
2^44249+1 = 110637293454504748196963
2^44249+1 = 226980696701269737491819
2^44263+1 = 1627249428893802281
2^44263+1 = 36723831729142530026233
2^44267+1 = 5014370044966706651
2^44269+1 = 1765909474339047091
2^44269+1 = 3181310819223614148017
2^44273+1 = 1829378918179049
2^44279+1 = 295846747978241939
2^44293+1 = 1229667755497249
2^44293+1 = 47633257748727817393
2^44351+1 = 3507907708453504670971
2^44357+1 = 184250828383225267
2^44357+1 = 4674404819617294928939
2^44381+1 = 25111697137766329116337
2^44383+1 = 35376188769756072193
2^44453+1 = 1001071676879323054859339
2^44483+1 = 7203540974573720557379
2^44491+1 = 269825106267933163104691
2^44491+1 = 301388371298041
2^44491+1 = 8355449795629361
2^44507+1 = 10238704970749486057
2^44507+1 = 2669531741845349954100547
2^44533+1 = 7143384145295464745849
2^44543+1 = 3850435181473
2^44549+1 = 61494967311829924762651
2^44587+1 = 166092835897031198033
2^44617+1 = 2831912823371
2^44633+1 = 37355937356357154937
2^44657+1 = 10652225374934391193081
2^44687+1 = 448804211429219864327849
2^44711+1 = 4036889711723549587
2^44729+1 = 828118162939
2^44741+1 = 356190006165844407847889614498003
2^44789+1 = 79036550539
2^44809+1 = 116114723105613661493627
2^44809+1 = 1900748894074374467
2^44867+1 = 376669443507389991419
2^44879+1 = 2351224300784088352700793736729
2^44879+1 = 329377576801930417
2^44893+1 = 351349228411
2^44893+1 = 579047739666383153
2^44909+1 = 1289406729497
2^44909+1 = 16925917597622827
2^44917+1 = 1337548883722189753
2^44927+1 = 25881326576214493201
2^44939+1 = 13102384958578474205461027
2^44939+1 = 18808927263630889002723816379
2^44953+1 = 209092586081
2^44971+1 = 65523036587375918713
2^44983+1 = 379944068249609
2^45007+1 = 4762445137864858862827
2^45061+1 = 22553984899221212579
2^45061+1 = 814362295020920034089
2^45121+1 = 1116499382003
2^45121+1 = 459185750485843
2^45121+1 = 512680606642027466500483529
2^45127+1 = 212566996754087203643706019
2^45127+1 = 215739502888184441099
2^45127+1 = 72312663888078049
2^45127+1 = 77059587233
2^45131+1 = 13879323856918383708851
2^45137+1 = 1794806453611
2^45137+1 = 2007104451329
2^45179+1 = 232645343590575329
2^45181+1 = 30568948181171
2^45233+1 = 512446955329590159223764473
2^45247+1 = 311406381352867249
2^45263+1 = 513217241281
2^45263+1 = 62918702373097268752938217
2^45281+1 = 332427944279944273
2^45289+1 = 305679464171
2^45289+1 = 580370901825454103459
2^45307+1 = 157821610049833365379
2^45319+1 = 162268820334284574815229467
2^45319+1 = 355767926977
2^45319+1 = 657986332139051
2^45329+1 = 140786071889
2^45361+1 = 52612409831086142973491
2^45377+1 = 280212289990561
2^45389+1 = 685549008898729352651
2^45413+1 = 107834905981796824489
2^45433+1 = 332393651420209
2^45481+1 = 10930049309399699
2^45497+1 = 3015781325533313576316817
2^45503+1 = 16960822484760067
2^45541+1 = 109164672672139537027
2^45541+1 = 930149786369
2^45569+1 = 196106837577283
2^45569+1 = 757695659885886451
2^45587+1 = 24723899383690771123290251
2^45589+1 = 110293229057723507
2^45613+1 = 77198266153082285603842027
2^45641+1 = 1162317358854677328155161
2^45659+1 = 2579070292844728273691
2^45659+1 = 5037282693407580192481
2^45667+1 = 21266391110435514539
2^45673+1 = 24974244078844334538361
2^45673+1 = 87589378942337
2^45691+1 = 34444647603401029764433
2^45697+1 = 882581713267
2^45707+1 = 18584875708471727756641
2^45757+1 = 5098421208222289640815337
2^45763+1 = 1108355927545011584373841
2^45767+1 = 5852704178315872217
2^45779+1 = 7319381890783808081
2^45823+1 = 1796201532422903867
2^45823+1 = 23541704328031162266259681
2^45823+1 = 525828047893122458881
2^45827+1 = 25074451603071363912371
2^45827+1 = 693888955307115855924653016563
2^45833+1 = 82883043859254674731
2^45853+1 = 5200609142397297227299
2^45863+1 = 686736416270823462873361
2^45869+1 = 10181089648651643339
2^45869+1 = 527415823299357850280257
2^45887+1 = 160473239961179
2^45893+1 = 531104727883
2^45949+1 = 40160911473620534972329
2^46091+1 = 16412139014380742984368579
2^46093+1 = 654986077369334616993097
2^46099+1 = 641754770787652535145299
2^46103+1 = 10210230110838678352540219
2^46103+1 = 589432718728400939971
2^46103+1 = 6084939274422679082449
2^46147+1 = 10693014154573331744458579
2^46183+1 = 83028575398819
2^46187+1 = 478322548392001
2^46199+1 = 125853371230879731839137
2^46199+1 = 3712119920290720721
2^46219+1 = 988537546247209339
2^46229+1 = 10882240030241
2^46229+1 = 4158277140040140394380193
2^46271+1 = 488639309294713
2^46279+1 = 15137152707943191862815883
2^46307+1 = 164198193338759299
2^46307+1 = 639816653719159619713
2^46327+1 = 1422497478332536410587
2^46337+1 = 1722322174763545673
2^46349+1 = 51256354454883975337
2^46381+1 = 1843701330173087611
2^46411+1 = 2077094438752113293521
2^46439+1 = 128037554910619
2^46447+1 = 350128530644047185473
2^46471+1 = 241771625858206868729
2^46499+1 = 24908492040970792931
2^46523+1 = 192898661199880033997424179
2^46523+1 = 356855028335876209
2^46567+1 = 7947822740914932756329
2^46573+1 = 418738799297194609
2^46591+1 = 479818171004059873
2^46633+1 = 30079504559332212029871377
2^46649+1 = 194024013569
2^46649+1 = 30289578987216793
2^46649+1 = 3406698407099149153
2^46649+1 = 442890985282787
2^46663+1 = 24184236186581539
2^46687+1 = 967559544007986691
2^46703+1 = 11244283680659
2^46703+1 = 379856795569
2^46723+1 = 6132098460641
2^46747+1 = 970828780358939050029017939
2^46747+1 = 97159245283
2^46757+1 = 42271320449
2^46769+1 = 1934434369449749952457
2^46769+1 = 8299992377426199727897
2^46807+1 = 800417153394161
2^46811+1 = 1244294351915018497969537
2^46829+1 = 203040394644015492102113
2^46831+1 = 3141191957021773586211971
2^46853+1 = 20758268128177
2^46867+1 = 279141065575822705601
2^46867+1 = 800839679249936267
2^46901+1 = 43900895614369462257409
2^46901+1 = 6882805157909752756793
2^46933+1 = 23032739958671317577
2^46957+1 = 125483982735696582916601
2^46993+1 = 14479587117430434222539