mersenneforum.org Status of Wagstaff testing? and testing Mersenne primes for Wagstaff-ness
 Register FAQ Search Today's Posts Mark Forums Read

 2019-07-18, 12:29 #320 Dylan14     "Dylan" Mar 2017 22·32·13 Posts 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.
2019-07-18, 12:33   #321
paulunderwood

Sep 2002
Database er0rr

1100100110012 Posts

Quote:
 Originally Posted by Dylan14 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.

 2019-07-19, 00:32 #322 GP2     Sep 2003 2×1,289 Posts 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?
 2019-07-24, 16:59 #323 axn     Jun 2003 5·919 Posts 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
 2019-07-25, 05:45 #324 axn     Jun 2003 5×919 Posts 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
 2019-07-26, 11:37 #325 Dylan14     "Dylan" Mar 2017 22·32·13 Posts I have done the Primo certification for W32377: http://factordb.com/index.php?id=1100000001189041877. This took 647851 s or ~ 180 hours to do.
 2019-07-27, 11:06 #326 axn     Jun 2003 10001111100112 Posts 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
2019-08-01, 21:38   #327
paulunderwood

Sep 2002
Database er0rr

C9916 Posts

Quote:
 Originally Posted by GP2 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

2019-08-01, 21:52   #328
paulunderwood

Sep 2002
Database er0rr

322510 Posts

Quote:
 Originally Posted by GP2 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

 2019-08-04, 14:48 #329 paulunderwood     Sep 2002 Database er0rr 322510 Posts Done "W35851": http://www.factordb.com/index.php?qu...54919454473787
 2019-08-05, 02:45 #330 axn     Jun 2003 459510 Posts 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

 Similar Threads Thread Thread Starter Forum Replies Last Post a nicol Math 3 2017-11-15 20:23 ryanp Wagstaff PRP Search 26 2013-10-18 01:33 Batalov GMP-ECM 9 2012-08-24 10:26 diep Math 27 2010-01-13 20:18 eepiccolo Math 6 2006-03-28 20:53

All times are UTC. The time now is 04:18.

Sun Jun 7 04:18:01 UTC 2020 up 74 days, 1:51, 0 users, load averages: 1.50, 1.64, 1.44

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.