Gratuitous OPN factors - Page 7

warut · 2011-05-25, 15:27

From Pascal's t450.txt, by SNFS:

Code:

C145 of 53551^37-1
P49: 1099175458083211672279689471069147375858740408741
P97: 2269983515909261974257635021108357797247317144769365064948564091711906514254026617469767115641739
 
C150 of 568972471024107865287021434301977158534824481^5-1
P72: 251547946282641171982649283204723431462511145446857383552640564717086561
P78: 477355994990051373551224118980147810025910854030973798851993845350709294681531
 
C165 of 607127818287731321660577427051^7-1
P42: 200433456975063256101792692473594806387607
P124: 3650056932704115028301367364984159092256032032951735932960833159732513804142244712326869742027147426796470356992656381430251

wblipp · 2011-06-03, 04:37

Three from the tnnn lists of First Composites by Mathew

Code:

57297764864463609752503885277127706597900313695567370545743245423866861493518001^3-1
P54: 831784685747964926455872090116639697282889647126344797
P55: 1833436953305696650714098632782121778504150909448922509

901432965375777287712709068265242936036682448835126280489^3-1
P48: 277069426824010266188268891959851747171436953369
P62: 38102295174378998249926554805559038851769050771010524418352089

184993393445546792221665593^11-1
P67: 1637388050636935634028789656610836650337368429277297387636726840689
P43: 7997287124217618508057090830115038229707379

wblipp · 2011-06-03, 20:32

23^181-1 was one of Richard Brent's Most Wanted composites. It was also one of Pace Nielsen's numbers with only one known factors of at least 12 digits.

ECM to 3t50 by A. Bhargava/S. Pelissier plus yoyo@home
SNFS Sieving by RSALS
Post Processing by Pace Nielsen

Code:

23^181-1
P87: 881106232004264032707461490640766647298501907558899276139024612149707522114298380698763
P112: 8482334337545072457025638341468854575329145752536651767773456511420695005686128275390524460758008615912564386573

wblipp · 2011-06-08, 12:03

A Brent composite that is also a Hisanori Cyclotomic Number that had no known factors.

ECM by Rich Dickerson and yoyo@home
SNFS Sieving by RSALS
Post Processing by Lionel Debroux

Code:

601^79-1
P80: 15086398693916696526666739927150407990433129883477491311163332220902038233575997
P138: 375272255110424663192601308308551954415809194969983175937545745492985296481137375304802098815069318689337329476412319032344596373720781107

wblipp · 2011-06-13, 04:44

Douglas Staple has factored some numbers from the t1200 (and other) files of first composites. Rich Dickerson performed the ECM prep work on these.

Code:

129801019731234648404863065971135821709403788096422289681662995096907^3-1
P46: 4712388238072285033543790321275930677064379377
P64: 2835562754856950295877877569162816925268166322049255301045565227

56979086893706028496045611086491371727631315424726712309971966955156538963^3-1
P44: 41144523658258690389079046359468526437531093
P67: 2864086399527955021891666182128458687933768281163672101223018269577

80938053859323924441034825605861453767680358105990761053090679956450783212695493212057^3-1
P55: 2080320864674494510777333794786475906967970241493406253
P56: 59776215317084709933441133132769952415087430529842695609

8235831262568992194446602277514138790374830588531336803005145951^3-1
P44: 97361316568900902592385425018118635619197381
P67: 2023105683817234565731815974489349059793022303860467333285181138301

1117721867772960738826664407900183091369179193354126690698505177677^3-1
P47: 35753511099445405753488254374996728771442550533
P66: 294032624863449765671920574705012466778429160602936309345020249991

2815556985028702404816240655307245235061485170208977680707601799^3-1
P43: 2146998668609927857770497202539142773612101
P70: 5231037163313168985766330005243587528762801428553638456442660764173973

2378476635989731^13-1
P48: 293133292278866005139971216646911595435741276723
P66: 349046498572686046763502948890001406394508524953273833846172196941

248805012000786619674484429681057622537078367400537646087948146733^3-1
P55: 4487648198796144548043589186112826461402371632700520293
P59: 24066464992826322081399444416249619924027381070465245897361

99974201760950865552980301495219848309518450629685613282321055827318180828437356869^3-1
P45: 263112331717645216852438162902674075557770997
P71: 38638831569310932068024760437911212226039463151864817591152151610055019

4512276897938400100791916152212660411193024659638498404540045116938971884471^3-1
P51: 211949703845367763837221280833530821253806524641071
P65: 67694774640140736475951007802640334320139821188325597372369528411

wblipp · 2011-06-13, 05:16

This was a Brent composite, a Hisanori cyclotomic number, and a Zeta-Flux composite with only one known factor of at least 12 digits. We were slightly unlucky with this - it had ECM to 47 digits (2/9 the SNFS difficulty) that failed to find a 47 digit factor.

ECM by yoyo@home
SNFS sieving by RSALS
Post Processing by Lionel Debroux

Code:

151^97-1
P47: 64603214813598749499589762836572440726624287389
P128: 46774552470812517563676178438579860699004542887839183741925378516077196277758326419147288575699448599617566801588450813544583933

wblipp · 2011-06-15, 14:46

Among a batch of nine composites from the oddperfect composites page factored by Douglas Staple are these two from Pascal's t1000 file of First Composites

Code:

202195159735394456004909664983807097083558103099363627636333055741617^3-1	
P49: 2704915402739749739196848965579065046969487269663
P71: 78603930298296304125982040235267798626105059018843962444086344961824267

276381555342723340427367878750776334201495248431299103304959909959911^3-1
P46: 1242674667227447769394639170708129726035926849
P75: 202496738259705353508348110099385064186750328786140227799741018624366922941

wblipp · 2011-06-16, 03:42

A Brent composites factored during the ECM Prep work

Code:

1019^71-1
P44: 90043277971405128281309622139097699849477207
P146: 11732130861372886787396593862262620631423507792218002771540727924543366440259568060289178174135363911466477339247938829971087504513804058580696739

1013^67-1
P42: 572111670315459975453650421293073030402521
P154: 2040607362041654508298088389192462443535030794463478558529273846354716473031032418830956091785380236007662962000544146935716498492993097035068736324117253

1021^67-1
P40: 8721404828127508013318567924967537916913

wblipp · 2011-06-16, 16:05

A Brent composite and Mishima Cyclotomic number with no previously known factors

Code:

277^89-1
P102: 538139121290110957955191655682084798734740994219956776960507384269553973900709114074422679233930050681
P114: 161769185712208667167648102646758523127648861908584684979895548587086452765742556012439236900499775646621542414481

wblipp · 2011-06-18, 03:29

The first of these was unlucky. The number was taken to 2t50 ECM yet the P49 factor was missed. These are both Brent composites. We are nearing the end of the Brent composites from Pascal's first composites list (t600 in this case) that are suitable for RSALS.

ECM to 2t50 by Rich Dickerson and yoyo@home
SNFS Sieving by RSALS
Post Processing by Pace Nielson aka ZetaFlux

The second number was factored by yoyo@home during the ECM Prep process.

Code:

(2467^73-1)
P49: 4200963205442801054856927556687247508990844543639
P122: 27433895877549729740634629236913232008680643258397208648673240466334814260631219162660890884534447727715501390690742494131

1033^73-1
P44: 34628338116756406790890883444822064686565809
P170: 28476424596281143416179333549571916593336450458076649099746038257880408248181188898124290890344178657272388140347688283380027332265030171436387053953875441909256534005673

wblipp · 2011-06-18, 12:40

Another Brent composite from the t600 list of First Composites factored by yoyo@home as part of the ECM Prep before RSALS

Code:

2017^73-1
P49: 1582158195436979870907547530142458259929364558741
P147: 531261155656673646413405568525956077557862152791642963938131552175586501097359889029171251960734743841083369156942878432092181203262009333279233337

2011-06-13, 05:16	#72
wblipp "William" May 2003 New Haven 2×7×13² Posts	This was a Brent composite, a Hisanori cyclotomic number, and a Zeta-Flux composite with only one known factor of at least 12 digits. We were slightly unlucky with this - it had ECM to 47 digits (2/9 the SNFS difficulty) that failed to find a 47 digit factor. ECM by yoyo@home SNFS sieving by RSALS Post Processing by Lionel Debroux Code: 151^97-1 P47: 64603214813598749499589762836572440726624287389 P128: 46774552470812517563676178438579860699004542887839183741925378516077196277758326419147288575699448599617566801588450813544583933 Last fiddled with by wblipp on 2011-06-18 at 12:35

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2011-06-03, 20:32	#69
wblipp "William" May 2003 New Haven 2366₁₀ Posts	23^181-1 was one of Richard Brent's Most Wanted composites. It was also one of Pace Nielsen's numbers with only one known factors of at least 12 digits. ECM to 3t50 by A. Bhargava/S. Pelissier plus yoyo@home SNFS Sieving by RSALS Post Processing by Pace Nielsen Code: 23^181-1 P87: 881106232004264032707461490640766647298501907558899276139024612149707522114298380698763 P112: 8482334337545072457025638341468854575329145752536651767773456511420695005686128275390524460758008615912564386573

2011-06-08, 12:03	#70
wblipp "William" May 2003 New Haven 4476₈ Posts	A Brent composite that is also a Hisanori Cyclotomic Number that had no known factors. ECM by Rich Dickerson and yoyo@home SNFS Sieving by RSALS Post Processing by Lionel Debroux Code: 601^79-1 P80: 15086398693916696526666739927150407990433129883477491311163332220902038233575997 P138: 375272255110424663192601308308551954415809194969983175937545745492985296481137375304802098815069318689337329476412319032344596373720781107

2011-06-18, 03:29	#76
wblipp "William" May 2003 New Haven 100100111110₂ Posts	The first of these was unlucky. The number was taken to 2t50 ECM yet the P49 factor was missed. These are both Brent composites. We are nearing the end of the Brent composites from Pascal's first composites list (t600 in this case) that are suitable for RSALS. ECM to 2t50 by Rich Dickerson and yoyo@home SNFS Sieving by RSALS Post Processing by Pace Nielson aka ZetaFlux The second number was factored by yoyo@home during the ECM Prep process. Code: (2467^73-1) P49: 4200963205442801054856927556687247508990844543639 P122: 27433895877549729740634629236913232008680643258397208648673240466334814260631219162660890884534447727715501390690742494131 1033^73-1 P44: 34628338116756406790890883444822064686565809 P170: 28476424596281143416179333549571916593336450458076649099746038257880408248181188898124290890344178657272388140347688283380027332265030171436387053953875441909256534005673