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Old 2019-07-18, 12:29   #320
Dylan14
 
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I have done the Primo certification on the cofactor of W32369: http://factordb.com/index.php?id=1100000000026866864 (still processing at the time of post). This cert took 645490s or about 179.3 hours to do.
Now I will take on W32377.
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Old 2019-07-18, 12:33   #321
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Quote:
Originally Posted by Dylan14 View Post
I have done the Primo certification on the cofactor of W32369: http://factordb.com/index.php?id=1100000000026866864 (still processing at the time of post). This cert took 645490s or about 179.3 hours to do.
Now I will take on W32377.
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Old 2019-07-19, 00:32   #322
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Someone found a 53-digit factor for W5237: 28101629210906800044136226409280228946441472707288921

I found out by checking FactorDB.

I'm ECM testing the 5k Wagstaff range myself right now, but only up to t=40. I tested this very same exponent a few weeks ago, but obviously found nothing.

Does anyone know who found it?

Obviously, this is also a factor of M10474. Maybe Ryan Propper is checking composite Mersenne exponents too now?
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Old 2019-07-24, 16:59   #323
axn
 
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11·421 Posts
Default 125k-130k

Code:
2^125017+1 = 14971644694903872043
2^125029+1 = 9042454211011037563
2^125093+1 = 167613452471535857
2^125113+1 = 15479509894438605881201201
2^125113+1 = 3140890065442810864845174379
2^125131+1 = 1319047591062538993509851
2^125149+1 = 3442045077314090048233
2^125197+1 = 152244519528027645122737
2^125207+1 = 1125319824377829299
2^125329+1 = 373794273972413323
2^125353+1 = 83372834431711211
2^125383+1 = 3730493729527095787
2^125387+1 = 1813121548142943019
2^125527+1 = 240922615781683284953027
2^125591+1 = 1386700299039738497
2^125651+1 = 27076150915182507899
2^125659+1 = 22452642881256916098649
2^125669+1 = 23745871740976910066819
2^125687+1 = 40698051999038540737
2^125737+1 = 115246885072123705291
2^125753+1 = 1751641466786083493365993
2^125789+1 = 1638472472142985057
2^125803+1 = 344667603909637553
2^125821+1 = 79148863605616627
2^125927+1 = 116227734985621243
2^125927+1 = 334015377635458546053017
2^126013+1 = 1898389691244977822874113
2^126019+1 = 190810412334714041
2^126127+1 = 121003976698202243
2^126131+1 = 25495095449212362987161
2^126131+1 = 671905790418264419
2^126151+1 = 21601783675322682127403
2^126173+1 = 2249306078942271619
2^126173+1 = 54642667278005657295443
2^126199+1 = 170152974856814358195323
2^126211+1 = 97774039466600417
2^126223+1 = 269462091395378478329
2^126241+1 = 112818075188897649775869019
2^126241+1 = 6755268795903294493819
2^126337+1 = 1240459878832430601529
2^126337+1 = 402597625017339992905619
2^126359+1 = 233300637170999615311681
2^126397+1 = 2345122699532146379
2^126397+1 = 843045056861513867731
2^126457+1 = 1942854177940834889
2^126457+1 = 5984249387700482057
2^126461+1 = 11197134760664602083264571
2^126481+1 = 110129090651718038593859
2^126487+1 = 5897076513785013041
2^126493+1 = 49601884685843728217162177
2^126499+1 = 3013273628544237713
2^126601+1 = 4393544744710185923
2^126719+1 = 1640716259517190444289
2^126739+1 = 20792550957573573259
2^126823+1 = 34694244457436191843
2^126839+1 = 2829071052920699763161
2^126851+1 = 6394723606264934539
2^126857+1 = 33194837096489987603593
2^126923+1 = 18163701112529686348681
2^126943+1 = 19580317626974647893349067
2^126943+1 = 890592460492104497
2^126943+1 = 9353263916882039436195659
2^126949+1 = 324362955098838298986260849
2^126989+1 = 10730350075035972565207993
2^127081+1 = 7020944612166343427
2^127139+1 = 375959580922500329
2^127163+1 = 236070341753994499
2^127207+1 = 681440066054330983217
2^127271+1 = 15884625181432318860851
2^127271+1 = 51755522283951422059
2^127291+1 = 2108238407552023552455333881
2^127297+1 = 43637188527237313081
2^127399+1 = 11148155280213363089
2^127447+1 = 11043393572403295084321
2^127453+1 = 98014392029705805169
2^127493+1 = 10173828131851964857
2^127601+1 = 146457766486170673
2^127609+1 = 2687345973261134341721
2^127649+1 = 16758680684469367979
2^127649+1 = 5215730515832556711209
2^127657+1 = 871352029999595393
2^127679+1 = 3824818260593741259514793
2^127691+1 = 683781327251558553548611
2^127703+1 = 214727693752281463692569
2^127703+1 = 579880304638668627211
2^127711+1 = 81809133295495853459
2^127837+1 = 102885115700633412217
2^127873+1 = 2885773793293961803
2^127973+1 = 31944703787193380917912124851
2^128021+1 = 177708829776977507
2^128021+1 = 90517193759511729342529
2^128033+1 = 323295041023094976256777
2^128047+1 = 6094128580357064157089
2^128111+1 = 1126509539884596726427
2^128111+1 = 175139465806752258881
2^128119+1 = 42398365715195757386051
2^128153+1 = 58706161022053292327273
2^128213+1 = 7679307045095460809
2^128221+1 = 17506402830785945313649
2^128237+1 = 16976639203187355521
2^128257+1 = 250598955640447313
2^128273+1 = 128492721788654491
2^128341+1 = 151235123994252018366803
2^128393+1 = 584071826209314227
2^128411+1 = 3233920836269221061779
2^128437+1 = 73287933506367323
2^128483+1 = 45520650205898122838603
2^128549+1 = 666753466420573163
2^128603+1 = 649569029937244190438507
2^128629+1 = 23591304531410270419
2^128677+1 = 53265188621798380833243619
2^128717+1 = 3861189570765688363
2^128767+1 = 99447767659981700809
2^128819+1 = 7274177268232578883
2^128831+1 = 934814720998387780656689
2^128833+1 = 2023562994393928639775587
2^128857+1 = 534422133329550601
2^128861+1 = 7116416641053432856411
2^128879+1 = 1524542053188875107
2^128959+1 = 1281960464613804587
2^128971+1 = 13678085347809362153
2^128983+1 = 4543810460864266129
2^128987+1 = 66328113834055647449353
2^129001+1 = 288174956589394158257
2^129001+1 = 4630827335194647597011
2^129011+1 = 93569908218470532833
2^129119+1 = 3649462360172956813417
2^129127+1 = 1822162328959530737
2^129229+1 = 2284172853118684284923
2^129229+1 = 37277840277235942570819
2^129281+1 = 173288611868784654769
2^129341+1 = 297405242234463851
2^129347+1 = 679252926192598787
2^129361+1 = 21683927489395259741731697
2^129361+1 = 3824730915970250971
2^129379+1 = 496565462150014787
2^129401+1 = 23636084769001985977043
2^129401+1 = 283436366941844539
2^129439+1 = 103681874180459353
2^129457+1 = 132277708236604018603363
2^129457+1 = 21144963829865039148697
2^129499+1 = 33537348828088214297
2^129527+1 = 46931228353387044523
2^129533+1 = 218060672005056010409057
2^129539+1 = 4804983326346506951833
2^129589+1 = 6600999827370790575330449
2^129629+1 = 7432013670360695681948611
2^129671+1 = 3067040910038281060691
2^129707+1 = 17581755482484132693931
2^129757+1 = 116163393187066213987
2^129757+1 = 27147464687336514477213713
2^129769+1 = 37020430367674066771
2^129803+1 = 111498773000558873
2^129841+1 = 391451567183253947
2^129887+1 = 3204608126250631169
2^129887+1 = 43450601640322297072348841
2^129937+1 = 3258419832778963387
2^129937+1 = 370775520798040223083
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Old 2019-07-25, 05:45   #324
axn
 
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Default 114k-116k

Code:
2^114001+1 = 3892323188051837770004539
2^114041+1 = 6363688797878321401
2^114043+1 = 658158286513631661021377
2^114073+1 = 2706634478134824473
2^114083+1 = 15768479951686599329
2^114113+1 = 18644211061708479631627
2^114157+1 = 103432527552452049769283
2^114197+1 = 45621761073983313283
2^114203+1 = 152233530752812627
2^114203+1 = 3240093028945216097321
2^114217+1 = 59782514212033830403
2^114221+1 = 265229897643698093177834249
2^114319+1 = 29049272401134955771
2^114329+1 = 4707060024919257001
2^114377+1 = 25848050414189112073153753
2^114377+1 = 278570668680762803
2^114451+1 = 1583920201353597905561
2^114547+1 = 424066148804874760088603
2^114571+1 = 314943009485847233
2^114577+1 = 33625644024221957377
2^114613+1 = 30530259329846165089
2^114613+1 = 862272668036945711443
2^114643+1 = 1442874130724362067
2^114649+1 = 241161905458087026323
2^114649+1 = 2605035157311700667
2^114649+1 = 395848842680911544609
2^114713+1 = 360027441586007447299
2^114743+1 = 363690536981293584763
2^114749+1 = 1265388202166388160481
2^114749+1 = 130919486141694227
2^114757+1 = 33192087123915445922199164947
2^114761+1 = 5401133821288035225762922777
2^114781+1 = 3401887084058386681
2^114809+1 = 96745627886942603
2^114827+1 = 25483739181396706163
2^114859+1 = 12470837542371415819
2^114901+1 = 54118579100939748739
2^114913+1 = 80421055366593539325163
2^114941+1 = 88187558747609793426121
2^114973+1 = 501503128223767000651
2^115021+1 = 115354096227432969780821032409
2^115021+1 = 222880163443760960323
2^115057+1 = 76760770736385312419
2^115067+1 = 23586099640602214554701099
2^115067+1 = 3444831106745188243
2^115123+1 = 410274899547584417
2^115123+1 = 7665239433016124977
2^115183+1 = 8111279104509642988067
2^115211+1 = 233502030399622769
2^115249+1 = 12965127953995654219
2^115301+1 = 2605990492966411417
2^115319+1 = 3039461847157658369510473
2^115321+1 = 28333251213787134859
2^115327+1 = 99568019717036754612667
2^115337+1 = 121484084555172179
2^115553+1 = 15735702654770252129
2^115571+1 = 451076321170275296137
2^115603+1 = 10865556222813793723769
2^115613+1 = 52848650564359296581574427
2^115679+1 = 3718019199240222761603
2^115693+1 = 96393477300662732363
2^115751+1 = 434679871411099790146387
2^115757+1 = 472166627250288650681
2^115793+1 = 1023770269397259767633
2^115849+1 = 137943819921252937
2^115859+1 = 65497081034000666046697
2^115861+1 = 41514828689662694713769
2^115933+1 = 8357371763220087563
2^115963+1 = 1087222604151145273451371
2^115963+1 = 65082919615267165994586041
2^115979+1 = 151816508446374379
2^115981+1 = 449734111911913896110125921
2^115981+1 = 7835635038499454375801
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Old 2019-07-26, 11:37   #325
Dylan14
 
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I have done the Primo certification for W32377: http://factordb.com/index.php?id=1100000001189041877. This took 647851 s or ~ 180 hours to do.
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Old 2019-07-27, 11:06   #326
axn
 
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Default 130k-132k

Code:
2^130003+1 = 8552971432487761052297
2^130069+1 = 291505231566707491
2^130183+1 = 6202030351070230051
2^130337+1 = 30571110575373807497
2^130337+1 = 3558810310997090353
2^130399+1 = 26776404676366266149480971
2^130411+1 = 21276440002081818445423979
2^130423+1 = 3449429807331381775289
2^130439+1 = 2011201776992594448115739
2^130469+1 = 2524909325613510305463611
2^130469+1 = 598151672007037279180697
2^130477+1 = 11678533436683014721
2^130489+1 = 121138702596163469259811
2^130517+1 = 2897970474089075393
2^130547+1 = 508006319976349508311993
2^130579+1 = 1523045453621444959350779
2^130621+1 = 9128619307406165799425729
2^130657+1 = 185880109834595640449
2^130687+1 = 2465324010508352852846723
2^130687+1 = 6383007919297667849
2^130693+1 = 1266101263818972419
2^130729+1 = 36675899698773063046067
2^130807+1 = 1225853296424814694577
2^130807+1 = 1526465032849840942052993
2^130807+1 = 486552140243201573689
2^130817+1 = 675714563300731846571
2^130843+1 = 23415749153315254791213517097
2^130927+1 = 6720345000876501011
2^131009+1 = 337222115532246753452257
2^131041+1 = 94756828864670013737
2^131111+1 = 4134580064265494008220249
2^131149+1 = 2058573813879090154763
2^131203+1 = 11485335909484552667
2^131203+1 = 4608807453033761107579
2^131213+1 = 4480395049854197089283
2^131231+1 = 1449690052324264346120731
2^131293+1 = 4456614121954063177
2^131317+1 = 4158090709683842473
2^131357+1 = 27267528853728268801
2^131363+1 = 991871290979643956009
2^131381+1 = 16022567099737987644721
2^131413+1 = 104898861753259068899
2^131431+1 = 11586661541553362440055081
2^131431+1 = 1493018261087821241
2^131431+1 = 854287924841090737
2^131441+1 = 134061490732110029801659
2^131449+1 = 660979322776939057
2^131477+1 = 32442801060187363619
2^131477+1 = 9169191162895510177
2^131507+1 = 1878456481180320189131
2^131507+1 = 7369441625341798430805233
2^131543+1 = 751611778731653530282843
2^131561+1 = 377403700485346753
2^131581+1 = 652903415124239420633
2^131641+1 = 1046956550251161567859
2^131731+1 = 274458070639271081
2^131731+1 = 9216762775327900063486097
2^131777+1 = 60837541127866618150914731
2^131861+1 = 4073291166546743323073
2^131933+1 = 52198579281678351726251
2^131933+1 = 60106613239604555759459
2^131947+1 = 783129442513340497
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Old 2019-08-01, 21:38   #327
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Quote:
Originally Posted by GP2 View Post
Congratulations on the PRP for 114743

There are smaller Wagstaff exponents with uncertified PRPs: 31601, 32369, 32377, 35677, 35851, 41269, 53759, 62581, 70921, 80819, 83423, 85517, 91159, 102299

There are also these uncertified Wagstaff prime exponents: 95369, 117239. Also the prime for 42737 has an old-fashioned certificate (that maybe can be verified with the Maple program, I'm not sure) rather than a Primo certificate.

A lot of work if anyone wanted to tackle it.

PS,
Also Mersenne PRPs with exponents 78737, 82939, 84211, 86137, 86371, 87691, 106391
Code:
? ispseudoprime((2^41269+1)/3)
0

Last fiddled with by paulunderwood on 2019-08-01 at 21:38
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Old 2019-08-01, 21:52   #328
paulunderwood
 
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Quote:
Originally Posted by GP2 View Post
Congratulations on the PRP for 114743

There are smaller Wagstaff exponents with uncertified PRPs: 31601, 32369, 32377, 35677, 35851, 41269, 53759, 62581, 70921, 80819, 83423, 85517, 91159, 102299

There are also these uncertified Wagstaff prime exponents: 95369, 117239. Also the prime for 42737 has an old-fashioned certificate (that maybe can be verified with the Maple program, I'm not sure) rather than a Primo certificate.

A lot of work if anyone wanted to tackle it.

PS,
Also Mersenne PRPs with exponents 78737, 82939, 84211, 86137, 86371, 87691, 106391
Code:
? ispseudoprime((2^41269+1)/3)
0
Silly me. What is the cofactor? Answer on: http://mprime.s3-website.us-west-1.a...th_factors.txt

Last fiddled with by paulunderwood on 2019-08-01 at 22:00
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Old 2019-08-04, 14:48   #329
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Done "W35851": http://www.factordb.com/index.php?qu...54919454473787
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Old 2019-08-05, 02:45   #330
axn
 
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11·421 Posts
Default 132k-133k

Code:
2^132001+1 = 1233631356982642193
2^132019+1 = 11676365730006475259
2^132071+1 = 26871429497566200585283849
2^132071+1 = 6713891489149482227902993
2^132113+1 = 7826268976313187313
2^132157+1 = 34983030466439808324713
2^132199+1 = 84428471521478686316723
2^132247+1 = 8363359398567267547931
2^132257+1 = 1146021381367952923
2^132313+1 = 11836807971407883913
2^132329+1 = 13121494791879180529
2^132347+1 = 5131969476597623506291
2^132383+1 = 18296051320473285089
2^132383+1 = 3998892172972540849913
2^132403+1 = 2190196415278719721
2^132437+1 = 206260297243358898611
2^132439+1 = 224004281875426697
2^132439+1 = 238788002609980045594321
2^132439+1 = 368899493892384680527651
2^132469+1 = 293190053580584929
2^132541+1 = 46980021756603897461051
2^132607+1 = 433183846141292918899
2^132611+1 = 60210863712599153830681
2^132619+1 = 36147738048893812746971
2^132623+1 = 1718182949123519467
2^132679+1 = 24338378979651425021657
2^132689+1 = 98439752488856033
2^132701+1 = 3857600654202374092601476907
2^132721+1 = 625287293298930347945569
2^132751+1 = 1231762925124467369
2^132751+1 = 52685275118327026078939403
2^132763+1 = 1606088470184783131
2^132763+1 = 19316575800332994703369
2^132857+1 = 51484844551566998902812739
2^132859+1 = 1494857290283590903151627
2^132859+1 = 54321531026848772477579
2^132859+1 = 564243873913672889
2^132911+1 = 1794662420514931921
2^132929+1 = 17257581800468749603
2^132989+1 = 80638406019931908621710603
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