Gratuitous OPN factors - Page 6

em99010pepe · 2011-04-25, 21:45

By SNFS

Code:

c107 of 539138352221959300586747681^7-1
r1=4105102308445849726177310422341596460866870103001 (pp49)
r2=6160911124680644729978950493296715419024171730558444018749 (pp58)
SNFS difficulty: 161 digits.

em99010pepe · 2011-04-27, 06:43

By SNFS

Code:

c132 of 960504640604568232011264258601^7-1
prp64 factor: 1358595262593054785529397716325944671558817628493898611848221317
prp68 factor: 86535751011232442420778248249043337514578295853529825001500303239631
SNFS difficulty: 180 digits.

wblipp · 2011-04-28, 13:56

User bachmann of yoyo@home is Takin' Care of Business. This number is one of Richard Brent's composites, one of Mishima Hisonari's cyclotomic numbers, and one of Pace Neilsen's (aka Zetaflux's) "need two factors of at least twelve digits."

Code:

199^97-1
P46:  1116173064868738638714722252909548689620974867
P165: 187943812082802661407904812846277964121476559376012256975121324670920282971988808286237350039547462644612844257450104254897514601634964426819053692725188660145929687

warut · 2011-04-28, 16:44

From Pascal's t450.txt, by SNFS:

Code:

C180 of 829007553280001^13-1
P66: 244316270467798922099499163062392617445757818428062275461394932481
P114: 431270209853861890413454655009005012897134129975728564495875029092186029456858668816942069921128699039686259656973

From Pascal's t500.txt, by SNFS:

Code:

C162 of 496833428679257^13-1
P52: 5578700186667308765930097782904197770169276667072323
P110: 24387417905409786629720887673261291471682277941530382880684906426213349473147301405762559677204101998198835529

wblipp · 2011-04-30, 21:34

A Brent composite that is also a Mishima cylclotomic numer and a Nielsen "need two factors of 12 or more digits."

ECM to 2t50 by yoyo@home
SNFS Sieving by RSALS
Post Processing by Carlos Pinho

Code:

239^97-1 
P79: 7414622572278019648719623032505447065580210313299234961534218469867261282352441
P140: 78522070977714916009946026654155333730171678366928489435167355967078177579969482964151464885769385473810692232275836553530215309631092705021

warut · 2011-05-01, 15:23

From Pascal's t1200.txt, by GNFS:

Code:

C104 of 502128718657^17-1
P50: 14151689723211186790997922961491236883959283717593
P55: 3507547411090302525205712300634623357244420146961945139
 
C104 of 27165280475539108537657277629480034766128404094411860708574493602925733^3-1
P47: 40514433966154956693053995237956039694497161251
P58: 1529851666807533129766821585871243351669210375311989910703
 
C104 of 35299625458349373263694428647681105940344066130317005875526655899325226750193482348838661^3-1
P52: 1013428864758437028210569107077526794350969184597979
P53: 68580531504798752462934410630237182260451724441382193
 
C104 of 38725887511690526799069179620322838572877426353319739^3-1
P45: 170826168012193000633750633765510973940004903
P60: 418050806523212346617822348994537624286649986805613942732247
 
C104 of 89750891226859561026843569717682367278270240722218139^3-1
P40: 5190353181577718071208718881795371707841
P65: 14238168588501835033431116549356880904201514672385712947120529769
 
C104 of 57107820900800527554836788002428211912988468701330250476883125513254939077506815840731^3-1
P52: 4597983849548097936350963212415537166294855595121293
P53: 16153114766856705944816343325776178314686428924368511
 
C104 of 22257104699687159126501043914419403716470394746559058177534870052669514909631517548751056353512930147350325205812215984352071053895671645756433474031499568590101906329546953+1
P34: 1315947729326445821945152786289951
P71: 58689134373420716733062565426738022147326204246934294185439862020240211
 
C104 of 347246277500160758884799614576160548196665857576318625370075101^3-1
P45: 430868891169995777252772358188608184444483907
P60: 193931071446635411114507640068142991904225161210949934392161
 
C105 of 48837672001^19-1
P51: 119069083890663104259492688139689394701285434523159
P55: 1207123076246561120644892285140568980527342344639360137

wblipp · 2011-05-03, 00:39

Thirteen factors from ten of the t1200 composites by Christophe Clavier

Code:

1
4044327334866425349644885242265634524420220868186531030902493 6
probable 49588377698734306681689228814270561 (35)
Probable 426564280194728217515746604497436487910201596051886127347591582307255721739759415173143170477978731580521777197148772662598130309895253522975144664907419924154397032150115156447222326041356671654344639093651961360105166780543353415648683696912275325036306254514588457046709147253115809 (285)

2
921021708001781967180155125462561 6
probable 54594115651134011173981534257471954293959 (41)
Composite 3267426015577864088327696671488096279542947436629798843393311394531455971999853562384424919156079968180764470879452485494511647241 (130)

3
826632619 58
probable 203615232621445959923605374502717 (33)
Composite 4881763461751893198598475801002466627696751043163293399521941082655721376536418378977201681836041723119243011051385735184301292005048025072995913601004502680347510191518539141083992852366174907994673054668633409590305650492164669072611402390760082335091463981107701764321014895065082580882226058933659137064845887126612890109711468071146279538505804989736278914909516623442968949006692309079864950543070034639226552975793111962093700211622917341732628032219093084428084165999 (475)

4
1529465251879385183681396169636637 10
probable 254667782514923329137553359403903 (33)
Probable 523626855351215217247630511281955303592548554114177316117413595234234682378092273460488289888903476242489549055225071147534396899867507422098931054144802654212815050334869772582946213185204550307756597544983422164331287091 (222)

5
23055814803246964369 22
probable 38627591459033028622363184983870331 (35)
Composite 211575882188083132286070778676961207255114936444860139949947040971469426626184362913072491968093247511565840515078700696775581858742097909381860021746801589308935204362445267380844625227481442744244587935339386177558172043197290939428146656774505486475525668987984292045048588611680622391116204601791553724111577194963075777967879627 (333)

6
228930588440751346557475232657120414736760960115184204362895294414424231444166829225997580571901 2
probable 26988084824129077983877925895571867 (35)
Composite 6452417722873309896155442149388044713619543823973871714209728249247794980216230420882524057553924919771286059493573381766759527137460123260981461433143 (151)

7
644958282460993813271416750572226621777087729 6
probable 2393272753427721751655653403893602533201 (40)
Composite 257553310382863238733757485904254325293535462635413800734677316252446753518863585518910565306277416371692710519714774291320526591207795687483156570748030283772194214463779566450029283009220618350383394211944967 (210)

8
1032399916298155265716517552330940272285623053095898295507707945945867643680683356448533401148016391074900281141 2
probable 14064880118861741784020081066889973 (35)
Probable 106938602126988739794733157111049624352844829501969656294893325645569646167402624482269538870469532970058546335335589504579558165717299051880066160290920980017937640163799 (171)

9
73844708644354283096117087296721 10
probable 2660485160092313534939320466539667 (34)
Composite 18603372234427100178265623347804614575365835905840466421368237767271156560851324457900990599591283412758973941400037894667034871300302600823268876457383520257494061943786007041050650679800847829275383800864928329376417113486254477660890257307057 (245)

10
32302134217542367 16
probable 4804407750155860947140361377677949 (34)
Composite 1914434575990625701739451056779744194880741891006149601898631628274121379355074582853663109165561803054914426212711032739192125849400699560806010372398591493092146924310968475100815084532783 (190)

wblipp · 2011-05-05, 03:10

Two more first composites from t1200 factored by Christophe Clavier

Code:

11
7478888882073296068963969 10
probable 207777025815648374177632884371730869 (36)
Probable 
9625870689499247833235051787493057698984546068469022750396251453390030371692477189614779461973109830555847154413411703845530105678128521383099621963 
(148)

12
503012547928376782084903806575479566568946308294060381 4
probable 11822731827471352300080403306001 (32)
Probable 
185257134115711200780322492073284041273643788561853485054816757289578748555830540811658903348211

wblipp · 2011-05-07, 15:34

A Brent composite with no previously known factors, factored by yoyo@home member Team_Elteor_Borislavj~Elteor

Code:

1061^71-1
P48: 430608283701359876974963189829706000118087418497
P165: 146691183191012672445837480882956808640024269200096195376261916801080516490645400579646716063486317168028468672240186839188534511519109344994985687634621372617734443

wblipp · 2011-05-08, 03:00

This was as highly wanted factorization to simplify the Pascal's proof. The base is sigma(83^4)

ECM to 2t50 by Michael Rao and yoyo@home
SNFS Sieving by RSALS
Post Processing by by Carlos Pinho

Code:

48037081^31-1
P86: 96729928861856601077825738668558148324811031259811986602087832417955986886232737020183
P145 factor: 2895592361185117172151468269515824863097426208399305731430856297504352221537893296259073087917048512468616037764443807178278471182475799271730657

schickel · 2011-05-14, 02:04

One from t1200 via ECM:

Code:

4458089037939243589600335968442165228154366154087 10

p42 = 341648633778390779188062711013328987536411

c441 = 124525305823446382585558918873416200205116421924142868839956890898946955396007924870507049068724290720945278060204753984214750493013660744379464104880132679036304334388129415170893588560222628142409481846064199580139383381574590693196602858324263655614512284279226618803260829781327567481174219807536163622406499407133943047910646749856528435953519382227025673121602251224071505494075497950685691727391258104450376057614996045737799894189981

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Gratuitous factors thread	fivemack	Factoring	521	2021-07-22 09:22
Known factors	ATH	PrimeNet	2	2014-09-04 19:45
Missing factors at the 'Known Factors' page	MatWur-S530113	PrimeNet	11	2009-01-21 19:08
JasonG's gratuitous C++ thread	jasong	Programming	16	2006-11-07 01:03
Gratuitous hardware-related banana thread	GP2	Hardware	7	2003-11-24 06:13

2011-04-25, 21:45	#56
em99010pepe Sep 2004 B0E₁₆ Posts	By SNFS Code: c107 of 539138352221959300586747681^7-1 r1=4105102308445849726177310422341596460866870103001 (pp49) r2=6160911124680644729978950493296715419024171730558444018749 (pp58) SNFS difficulty: 161 digits.

2011-04-28, 13:56	#58
wblipp "William" May 2003 New Haven 2·7·13² Posts	User bachmann of yoyo@home is Takin' Care of Business. This number is one of Richard Brent's composites, one of Mishima Hisonari's cyclotomic numbers, and one of Pace Neilsen's (aka Zetaflux's) "need two factors of at least twelve digits." Code: 199^97-1 P46: 1116173064868738638714722252909548689620974867 P165: 187943812082802661407904812846277964121476559376012256975121324670920282971988808286237350039547462644612844257450104254897514601634964426819053692725188660145929687

2011-04-30, 21:34	#60
wblipp "William" May 2003 New Haven 2×7×13² Posts	A Brent composite that is also a Mishima cylclotomic numer and a Nielsen "need two factors of 12 or more digits." ECM to 2t50 by yoyo@home SNFS Sieving by RSALS Post Processing by Carlos Pinho Code: 239^97-1 P79: 7414622572278019648719623032505447065580210313299234961534218469867261282352441 P140: 78522070977714916009946026654155333730171678366928489435167355967078177579969482964151464885769385473810692232275836553530215309631092705021

2011-05-08, 03:00	#65
wblipp "William" May 2003 New Haven 93E₁₆ Posts	This was as highly wanted factorization to simplify the Pascal's proof. The base is sigma(83^4) ECM to 2t50 by Michael Rao and yoyo@home SNFS Sieving by RSALS Post Processing by by Carlos Pinho Code: 48037081^31-1 P86: 96729928861856601077825738668558148324811031259811986602087832417955986886232737020183 P145 factor: 2895592361185117172151468269515824863097426208399305731430856297504352221537893296259073087917048512468616037764443807178278471182475799271730657