Odd perfect related road blocks II - Page 49

wblipp · 2011-04-02, 20:14

The first two are from Richard Brent's Most Wanted list.

ECM to 2 or 3 t50 by A. Bhargava/S. Pelissier and yoyo@home
SNFS Sieving by RSALS
Post Processing by Carlos Pinho

the other factors are from ECM Prep work

Code:

31^157-1
P55: 5372383863057311316757835923344597314388270902596512521
P108: 102857335892460877536703645970866083362627764484818776857665193662163423039431609242688545999931810872909019

19^191-1
P80: 68242299724840351788569038268426245289817965335706655918213265707740953707564871
P129: 251214904493082032563886705050066067238402478385074334628726960398705880246160207410703281325958480421958977181479251296511912873

1031^67-1
P30: 183257111268367608251972799899

1033^79-1
P7: 2043257

1039^79-1
P6: 214723
P227: 34299253719473844529731933778437581110073077166365702949396749671327488280981689872574404159719170889062014332768493385125843309772825733642521492431457288221140994978411047520902638905158552545284885372446335951220526055178341

wblipp · 2011-04-05, 07:00

Another of Richard Brent's Most Wanted numbers that is also a Pascal First Composite and

ECM to 2t50 by A. Bhargava/S. Pelissier and yoyo@home
SNFS Sieving by RSALS
Post Processing by Pace Nielsen

Code:

17^199-1
P54: 587462396161517854556914973071558874858520615454039247
P67: 3081446594894436542915826160990069556489114885425538040772594989367
P82: 3115248683030257146868899381573037423924673454060632117636397265102099854561882767

William

PS: NFS@Home has recently factored the large First Composite 5^389-1

warut · 2011-04-06, 12:29

From Pascal's t450.txt, by GNFS:

Code:

C132 of 5229043^29-1
P61: 1609279036416525290924248374460686815822226858691725493941629
P72: 135644492449635466503156437521094302808393547902117019758829576165241891

From Pascal's t500.txt, by GNFS:

Code:

C131 of 3737657091169^17-1
P60: 135964579475796346699733731186059726237490413976937222111147
P72: 102126539583343121660429516605561759471995432856949737182761786465335057

em99010pepe · 2011-04-06, 19:57

Picked up from the oddperfect.org composite page and SNFS factored by Carlos Pinho

Code:

C150 of 538357^31-1
P57: 158954267255168566549039410606849995889700605974257902049
P94: 1857768230434832128069650700805304225491407096547489714607714969697875907887450000831359997097

wblipp · 2011-04-10, 02:27

Spring housecleaning of factors from various sources. Most reduce or finish composites from the t lists. Some were in my database, some were done anonymously, some were done by Carlos Pinho.

Code:

1009^67-1
prp65: 29935307567918358736730062576926778896441551209995138346098111437
prp65: 59038939005327406101485601953540681245044702419451997572069596921

1031^73-1
P38: 76311034425268069337043403975444608343
P100: 4063629091995746154836313044201434161343585845063842852032108466928140009605136263087756555890466217

1019^73-1
P36: 419503758785941884483455320076774401

25127^41-1
P51: 968775377564620250171512469947974732628878438292703
P105: 237064558529363494839568216901654706695283734499971178425471504388703122607849189075528593273673796282083

682737496472109341658594748416032562780892160430974558396413220364357876150169^3-1
P37: 1226781262202102167563367062143371579
P72: 975060999284654305871688637001362238778610782755702588207377705424658991

69433502216552087300217330881104501292582167869851658609133^3-1
P47: 23231215585033517251941059490735317535356319283
P60: 597093957946325459607131163817678628648438810661741808558561

10585149482510673698257043497801731563775179265942401^3-1
P34: 8991019407830094449972727667054861
P67: 9391049569892762510005469453814121761276120461464585699944583633249

3333121151155141^11-1
P55: 2180832209398586855534592577310222689215442370600374253
P99: 871964363342759841416583098220400463071374603807252248277433385757437871213234298025175974052029483

2232385011981583^11-1
P62: 74945448727098036590790926288173249329253760366490539457272693
P82: 1086093864988353947746772235341232216249843971791749001001086626716602176943417469

51428499134255229801307^7-1
P40: 8467302964269908769651550721644945278181
P44: 17296988618317136178970494505390040077849429
P54: 126330292755024667237363923002771380082295214963151893

88076317550837543760067^7-1
P68: 5898397880705716961795463058322157025943
P106: 96585963129726883350360842956908853637178807339037230402431380259743

313469555227790256879481^7-1
P45: 224953778243311055539192414509172847156045867
P81: 767858956534226020718953465572396371737870475067026601916293427616233466453754853

10195753178238318213316021^7-1
P39: 969788281583095795641852052899977555611
P68: 13308217637211621155312651575922455975967706158852130666564998179991

1169723339615428834795022674668346507972637072026989132703299973^3-1
P40: 1322232993342573900585508365218054774533
P66: 920905298436616394253055588442686820987267440408571357597366147527

17039118605046803898613358569^7-1
P44: 30272272459128947250893376580097235948432241
P60: 456483850720981724823444379604314281049217115442740833148941

4445920625921894859485886279431937154995365646144138427860902102965778617367847477907^3-1
P40: 9177504688899582795203360640936976465063
P63: 257000855858445375312045491671264776756953814743862450809873707

591844849257724269807300757620403665626236644845899786773573341602936225453^3-1
P38: 11094598615732439322349585157717573209
P65: 39587373439086136781585222889065566763380454233257382444861344133

9228242750041962470319626992325126540970611860639873168266215645119^3-1
P24: 588899757585967787140033
P96: 337033580300397244899997585068673029865329234985496584131038392680498962778525327718618201478983

77619973^23-1
62930253568236530590326098481407960190816172261
7044586307688375860960586987303185558223176723150114080528711234159

77619973^23-1 
P47: 62930253568236530590326098481407960190816172261
P67: 7044586307688375860960586987303185558223176723150114080528711234159

110563^37-1 
P43: 7347383900804971613697207834156970993920967
P71: 71788511752770228733690198110330257949894008546604205907102136485818009

3754733257489862401973357979128773^7-1 
P51: 747708137558116605295207845089851800519251787040117
P64: 9586633553170280539820358887014876990683792710889476169498440329

1943777054011345723^11-1 
P42: 807772847725610907836583633940245023992493
P74: 11992974917862309914595244727058975856924023113663294490183964656670020593

32993235595486433^11-1 
P51: 139994070435944295517380316988258630662437301273951
P66: 138739617608740016604358235148555747022532290715820921802529018101

51257353114986779^11-1 
P49: 2779581059143433397273838561576840417051364732191
P68: 83526826592389211655286793826391429891866616350061430758031435442929

5775464745322578520822954101491045929218032858547412479330389^3-1 
P47: 18428137731961929298922058589239102643623974689
P71: 68999265166789620986873043808734666596066045339778713398187666390803303

96535913959128825045192353269^7-1 
P50: 20169643625562395257217114103764277581839693444157
P69: 728545807949480246563339825005665667030591081230542737941409543654869

1331399425301563^13-1 
P51: 345274055867662889451126528021518462715753646045103
P68: 48420830046665222794286174340874802054167908342501440442203646562573

926659^31-1 
P52: 4942243672037906683039918437322450901714534139081697
P67: 3888587689732557142812491551126568547477633496797734120798923441057

840499628243178772249761953^7-1 
P50: 36394580681929445933194341810823274739848170898729
P70: 2464925299912183113290501922341926993685484386967876015675609650238529

3737657091169^17-1 
P60: 135964579475796346699733731186059726237490413976937222111147
P72: 102126539583343121660429516605561759471995432856949737182761786465335057

109^107-1 
P58: 8724653076864025568241556645288686421741993359415338731831
P76: 4696967530832930249636109939551702530436947249631391463294130167552184072047

25787410725831757959146713713317822610189675080799991351212363415295039167342856622948848174679505679798952305687733595104465214622128104881^2-1 
P13: 5680174468667
P126: 252216536149651066063522217756866177377665440899737558199810663236950578122434256793157737598062551097492620550135354602002147

127^113-1 
P51: 140181581203042574337271028133337517940041111878369
P103: 1807733474707303116072862670848657823684575250443103225022450118900897394639261687397621273863617965643

347568611538691^13-1 
P46: 1351336472129976829629085813606430666497486193
P109: 2447044967226842772559142290805004688932587177244307173344647843250302559040695986384359716692471234029260827

2942502763501759^11-1 
P55: 1004371827102144949822082460346674352146892295207897891
P101: 48447823551415877222824928859704974434376957537683440462669617728207392259723737577069080600498158411

31^157-1 
P55: 5372383863057311316757835923344597314388270902596512521
P108: 102857335892460877536703645970866083362627764484818776857665193662163423039431609242688545999931810872909019

830088529041623897^11-1 
P43: 3563698221070777211671732377406749157565261
P49: 1895328409370139659814294531147788551849625389333
P88: 2090576413596219556982266629568846896466322123532051294709989362650353732925589542122409

17^199-1 
P54: 587462396161517854556914973071558874858520615454039247
P67: 3081446594894436542915826160990069556489114885425538040772594989367
P82: 3115248683030257146868899381573037423924673454060632117636397265102099854561882767

19^191-1 
P80: 68242299724840351788569038268426245289817965335706655918213265707740953707564871
P129: 251214904493082032563886705050066067238402478385074334628726960398705880246160207410703281325958480421958977181479251296511912873

11^263-1 
P60: 448866386956193192214273839601521010068755980565222687036249
P70: 3805495238649664538616336052778899623309981186689102866978291285109261
P80: 21157936133594973189041981958904376742762430532830485531460898866265603483652053

3851^67-1 
P62: 30983944613524273709112450003433575198344982256870708738256479
P70: 4885049903416899775629034162659414180756436005880433470177688791394791
P88: 6205032490830871264023023895972180073061892954910216627498127171012110103074317412998247

10534712234400438364326051101268091387747998934246363^13-1
P31: 1384380238456269213213194110933


1010078997272203451328435288754544435240089820195074256880840886087^7-1
P32: 11953963658725699660530763677403

1405879735145054540232148557896172727656054879616291227880788877^7-1
P31: 1377131326814751147521924458067

2511282478463599^41-1
P35: 60614649041095830177518115603551083

314099165782502788630320432948288283964884261631190979311254387384104740264096195611532035699643096736347620242426058431603267715588247518069109740222139330494574511464587041854539^3-1
P7: 1145359
P10: 7117207831
P10: 8941866301

106041019574217229753^29-1
P32: 16662283624293785149556178102863

2195718342447395713472736842058644679585755754433512723954141149^11-1
P28: 4090114992902972527840945369

3209464745430699310951969687^19-1
P30: 474224245563156936794114904727

35613271398054634765430994608208717929829595048790195209363^7-1
P22: 4012200941703933896737

221110919^83-1
P36: 596836058190429122643797074842420541

1928708209591445637142417907441^19-1
P31: 2177000700385451977809149250149

179417336996188328621549259050231465795189491231286540219097850318189403620706897528951270103234071999006528692050259938919457^5-1
P32: 16114421721725489773191161877931

1160918792274249961649145365170162660322013605999^11-1
P28: 6095186622415216243427313101
P31: 1368081206154133895425274964263

327668647153^47-1
P33: 434790800653213620204026730563371

329422297^73-1
P31: 4830494556449149514637283299191

905411190098403760111461395795646217^11-1
P27: 903229563693816816642954737

36313138890414869617^31-1
P30: 208185122208543978900152324543
P33: 268095348205960447805302080148559

14206649495362841331033984851853160070773232046277380601985921102654130855864210026228331398348010312280859963796801292345839907288870263240908324054921935765221242129815612243996147^3-1
P31: 1110114140482176009207924061861

wblipp · 2011-04-12, 19:27

A Brent composite that is also one of Hisanori Mishima's cyclotomic numbers and one of Pace's "want two large factors" numbers. The only previously known factor was 27641897.

ECM to 2t50 by yoyo@home
SNFS Sieving by RSALS
Post Processing by Pace Nielsen

Code:

359^97-1
P104: 19694013729706207394188181998727165792675957031695791816692755779614102124854855239445987603087768220303
P135: 358406935233382263336831239723166693091009692899489703386264391140395407384131625451552834509562842202036488071065547727359719646380631

wblipp · 2011-04-12, 21:11

One of Richard Brent's most wanted composites that is also in Pascal's t600 list of first composites. The previously known factors were P9*P20*P22

ECM to 2t50 by A. Bhargava/S. Pelissier and yoyo@home
SNFS Sieving by RSALS
Post Processing by Carlos Pinho

Code:

61^137-1
P64 : 7103557719482232387419616177851313002140469260765409533945283057
P130: 1118548381651032348701984904589445344306331781046402582925491365725292880072120591596969182509141320753851293022597962689499757549

wblipp · 2011-04-13, 18:54

From t800.txt, via ECM, by Rich Dickerson

Code:

3972332967275287475085197754254087096088810369983815348810177459259145298181233^3-1
15588750032956819913092921493632286259359840447629006270919243452959666983334399350565050450416974030133
P46: 1086574357070949059024616842409649790486791189
P59: 14346694205980544283233696259648585875189759718158687323297

warut · 2011-04-16, 22:37

From Pascal's t1200.txt, by GNFS:

Code:

C102 of 99573556995674648106753060334273862483696033987057590947087851183649384918157^3-1
P48: 636960798853368185013374233384886425772055069547
P54: 864820016184312894494877628993425110572691846650807777
 
C102 of 494816894793945434195756741367539^7-1
P50: 51341011278810669769305030411629305769209256061809
P53: 11581270867856408368139233587405928011626232190898023
 
C102 of 3629378485482267483971355810346937314791371069873589259^3-1
P47: 47743903800495707163439537319434261179506209243
P56: 17395226028291506788698960017713264015013108562213897001
 
C103 of 24452820270055756779741604357910597^5-1
P51: 845252095250579613557905430562209796693266810817071
P52: 2861516469746402674249513252961050475479801474256081
 
C103 of 10287301027831939865616345985094754032323^5-1
P46: 9401889997267805736780261843749703129393287041
P57: 263786431777534038002601311299964757102839092988354940401
 
C103 of 37210900657356331719985328819357023^5-1
P46: 1191169279059920954759206032017442606077105611
P58: 2260581301152215704247167499808236137208191015462713051971
 
C103 of 32993235595486433^13-1
P50: 17428107294087352640523946953980544425099280452099
P54: 182400646603528503457719952488658081039160669944916279
 
C103 of 578633300810814724324411340188175959^5-1
P49: 3759988911345556170274950229439754354751001715091
P54: 901704932798165634810762941155399271096867733763220291
 
C104 of 21934750662566119249175390601284030927098831715040851640522763561^3-1
P51: 141846413765944980954159537901685137630732571039077
P54: 116386642112313989727382352916711324714852776123172919
 
C104 of 256614030077851660697470860764999651127451247726020912343694477113070403130503882797738983^3-1
P52: 2566989964636715091887360651660519809156312488552223
P52: 6668927290435389997227375487869703682782407962178289

wblipp · 2011-04-17, 17:59

All from Pascal's txxx lists of first composites. The first is also a Brent composite and a Mishima Cyclotomic Number.

Code:

547^73-1
P59: 32658574558855389821347032247290732233511450874612217767519
P77: 21795557585254976177243900314457407864625545225664474459333288693424898174153

1020392150510893^11-1
P54: 174540541577366188482954319713297252732158252495078839
P87: 823274969692260378535088036043293640092354103645299004315048498980264934768757844883149

343230305345881^11-1
P58: 2993186362309037002174794371802214514295326888399778855991
P81: 259188688963924561021125241101352552400378537578521664040614638331460884728854897

warut · 2011-04-21, 00:43

Brent composites (including a Mishima cyclotomic number and a nice 3-way split), by SNFS:

Code:

C135 of 6101^41-1
P67: 2687001421128825673805481443414257184463040605952492002300015997373
P69: 129035946528896160557528653535675785940467965535791855193784538786889
 
C125 of 6301^41-1
P55: 1113388255942449528687596332095462152445270633515233537
P71: 23711010270063066186723283460436727211829705952210190018403118788889921
 
C153 of 9631^41-1
P51: 122718053308488618537543942054945928443933729759691
P51: 156783426840445894646342550946735335478548231981001
P53: 36269593285375936549943675898747799861470342218093761
 
C151 of 8971^43-1
P71: 84511591714411435819168418753907271283325952498139228756936134840993531
P80: 64357579462990918887860850514267657914689740164411582192144500760643568870203481
 
C168 of 701^61-1
P65: 28547377901961327430347368393965876787899268084981126013544774247
P103: 4545746995801423582775925764017362918945147970486223989487941427105097790009502608579520761069846560253

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2011-04-05, 07:00	#530
wblipp "William" May 2003 New Haven 4476₈ Posts	Another of Richard Brent's Most Wanted numbers that is also a Pascal First Composite and ECM to 2t50 by A. Bhargava/S. Pelissier and yoyo@home SNFS Sieving by RSALS Post Processing by Pace Nielsen Code: 17^199-1 P54: 587462396161517854556914973071558874858520615454039247 P67: 3081446594894436542915826160990069556489114885425538040772594989367 P82: 3115248683030257146868899381573037423924673454060632117636397265102099854561882767 William PS: NFS@Home has recently factored the large First Composite 5^389-1

2011-04-06, 19:57	#532
em99010pepe Sep 2004 2·5·283 Posts	Picked up from the oddperfect.org composite page and SNFS factored by Carlos Pinho Code: C150 of 538357^31-1 P57: 158954267255168566549039410606849995889700605974257902049 P94: 1857768230434832128069650700805304225491407096547489714607714969697875907887450000831359997097

2011-04-12, 19:27	#534
wblipp "William" May 2003 New Haven 2×7×13² Posts	A Brent composite that is also one of Hisanori Mishima's cyclotomic numbers and one of Pace's "want two large factors" numbers. The only previously known factor was 27641897. ECM to 2t50 by yoyo@home SNFS Sieving by RSALS Post Processing by Pace Nielsen Code: 359^97-1 P104: 19694013729706207394188181998727165792675957031695791816692755779614102124854855239445987603087768220303 P135: 358406935233382263336831239723166693091009692899489703386264391140395407384131625451552834509562842202036488071065547727359719646380631

2011-04-12, 21:11	#535
wblipp "William" May 2003 New Haven 2×7×13² Posts	One of Richard Brent's most wanted composites that is also in Pascal's t600 list of first composites. The previously known factors were P9P20P22 ECM to 2t50 by A. Bhargava/S. Pelissier and yoyo@home SNFS Sieving by RSALS Post Processing by Carlos Pinho Code: 61^137-1 P64 : 7103557719482232387419616177851313002140469260765409533945283057 P130: 1118548381651032348701984904589445344306331781046402582925491365725292880072120591596969182509141320753851293022597962689499757549