Best msieve poly scores - Page 7

Max0526 · 2017-08-29, 17:55

cofactor of (64*10^329-1)/9
http://stdkmd.com/nrr/c.cgi?q=71111_329

Code:

# Murphy_E = 1.439e-15, selected by Erik Branger
# Polynomial selection took 4 months on a GTX760
n: 1122306776491337588607322631818708778200214577213206237089370253284687138834200770294167044440649977604444005064220843458726284245767449140856119245849745806395315477933380280425456889166505800707705642211253
Y0: -4842112079991293167491670985200158992968
Y1: 4692246580297096789
c0: 192558034193459742319046371398586259699707875364425
c1: 5387479895042599888816938205129089277819185
c2: -1098937059524264818729815697407187
c3: -104048030268009541344497393
c4: -47857156754642446
c5: 421635720
skew: 326211947.89

Max0526 · 2017-08-29, 17:57

cofactor of (64*10^335-1)/9
http://stdkmd.com/nrr/c.cgi?q=71111_335

Code:

# Murphy_E = 2.611e-15, selected by Erik Branger
# Polynomial selection took 3 months on a GTX760
n: 109171591085766696329154094898413102975244602654436063131236802577739018610372481766336529673096871219819082305153836057313909197892887464895177698907857683478715073482144332103260248475095490460103745877
Y0: -874787825966474636764651895639288018128
Y1: 7711155590735127311
c0: 7141196392545477230382872093858734437613258900875
c1: 209427097645347526234634345978136636660435
c2: -150871290860064104063428589267457
c3: -19921799259530980061064995
c4: 25303191192736094
c5: 213106152
skew: 167658719.81

Max0526 · 2017-08-29, 18:02

cofactor of (7*10^294-61)/9
http://stdkmd.com/nrr/cont/7/77771.htm#N294_C182

Code:

# Murphy_E = 6.732e-14, selected by Erik Branger
# Poly selection took 1 GPU-month with msieve on a GTX760. Searched leading coefficients 1 - 200 000. Second best polynomial had Murphy e 6.313e-014.
n: 18675405572331560310583265774204505301415598498076656561422574471774037555350905938060807377546742508840495332996495761781590487724526878487239887588209751350338083828534569094229647
Y0: -262907824258932813360854376622286599
Y1: 12918700264242667541
c0: -31652508449192112444055628517754755088887425280
c1: 710622943245874510012084357262004430308
c2: 926076829723453969157641294892
c3: -16902794888899212983959
c4: -45854072328508
c5: 14868
skew: 363402240.79

Max0526 · 2017-08-29, 18:06

cofactor of (7*10^298-61)/9
http://stdkmd.com/nrr/cont/7/77771.htm#N298_C178

Code:

# Murphy_E = 1.25e-13, selected by Erik Branger
# Polynomial selection time: 600 hours using Msieve on a GTX760
n: 1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533
Y0: -50007985164397411405521617904412092
Y1: 1632969483417250643
c0: 197461944301254587068536803545794403826093419
c1: -6045815115407106492956712565470778825
c2: -146820987061990775413353885317
c3: 1939789693626539622585
c4: 4802713372914
c5: 3960
skew: 165003214.73

Max0526 · 2017-08-29, 18:13

cofactor of 6*10^273-1
http://stdkmd.com/nrr/cont/5/59999.htm#N273_C169
by RSALS + Serge Batalov

Code:

n: 2652431486750286097666044412986594673070336013037435734459077515614249575320668054345891565002061132272527146562476263651355287602420041688921099981281684543398198368411
R0: -772976358027434400376082204372346
R1:  910258206911733379
A0: -38246169857652274587830882082172254186359125
A1:  1121196927112168218869288195074117015
A2:  104867904901495973390102738857
A3: -884471319272588883739
A4: -12068697784380
A5:  9612
skew 97144922.68, size 2.074e-16, alpha -8.738, combined = 4.326e-13 rroots = 5

Max0526 · 2017-08-29, 19:40

RSA-704
https://eprint.iacr.org/2012/369.pdf
by SHI BAI AND EMMANUEL THOMÉ AND PAUL ZIMMERMANN

Code:

n: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359 
R0: -10040119372014939875708192394943108
R1: 1701314346829200310007393599
A0: 631618785519411550157074523461307229101210175
A1: 275791344247583495761263211927712634450
A2: -11187228497714282733145127980606483
A3: 931957113890545875115664715
A4: 1938361239259842311964
A5: 62813641710611
A6: 10614120
skew 2332416.43, size 2.402e-015, alpha -9.456, combined = 9.426e-016 rroots = 4

Max0526 · 2017-08-29, 19:48

RSA-210
http://www.mersenneforum.org/showpost.php?p=354259
by ryanp

Code:

n: 245246644900278211976517663573088018467026787678332759743414451715061600830038587216952208399332071549103626827191679864079776723243005600592035631246561218465817904100131859299619933817012149335034875870551067
R0: -8311128239923121259046301811046853
R1: 63190692009226810471
A0: -46373978032319633360321876974395396247530766893600
A1: 4926444336634688706035599320492329943566740
A2: 415031002380786834672968277117654072
A3: -35317070927593920606305065701
A4: -1333072472407237353592
A5: 44263602924186
A6: 744120
skew 21829368.04, size 3.501e-15, alpha -11.183, combined = 1.204e-15 rroots = 6

Max0526 · 2017-09-06, 19:07

cofactor of 434040:3059
http://www.mersenneforum.org/showpos...&postcount=909
by richs

Code:

# norm 1.215438e-014 alpha -5.992013 e 4.496e-012 rroots 5
n: 193772627436498719691399371635139917650415631165444129989632973066769346863702474240220073470345031874593997015736878532869569858946276674743265111984081
skew: 11059975.16
c0: 714364181918696418157020125640001905
c1: 10952754678896260587986816145552
c2: 2646592400904787922886346
c3: -419947073011879588
c4: -17998728499
c5: 540
Y0: -814666335894843441556680853706
Y1: 10374901361511881

Max0526 · 2017-09-08, 22:14

(not a record, my mistake)

Max0526 · 2017-09-12, 20:17

cofactor of (34*10^236-7)/9
http://factordb.com/index.php?id=1100000000583303989
http://stdkmd.com/nrr/c.cgi?q=37777_236

Code:

# Murphy_E = 8.53090237e-13, selected by Maksym Voznyy
# selected by CADO-NFS; lognorm: 50.03, alpha: -6.68 (proj: -2.10), E: 43.36, nr: 3
n: 190999371374769990567169679785634304029054810939437612119082562487152753473568508069121243576880601102728957463172210507472286973634116487374558825601264531122768909
Y0: -72116415298183255817045850676196
Y1: 1346704612709324275133
c0: -6980903105363019450469286535170882700
c1: -110052072025994891905848159072775
c2: 2838244516700166889152188
c3: 4739570388586936095
c4: -977789603568
c5: 783360
skew: 3147038.346
type: gnfs

Max0526 · 2017-10-23, 10:30

cofactor of 3408:1671
http://factordb.com/index.php?id=1100000000960775421
selected by CADO-NFS

Code:

n: 206126198520335998469134386020008749480733049152712107835914145741704733292914301600869914866579422918568099165679123078042285531615037983736118335674577501855025337380741475484791
Y0: -49737679034182624290841791985730141
Y1: 27672595519131845458109
c0: 2219849781219933688594222529717085731472640
c1: -271554560588094070095431200467698240
c2: -190982434081120390397977978648
c3: 7059677881789437129545
c4: 842795255774262
c5: 14220360
skew: 16095335.04878
# lognorm 56.65, E 48.89, alpha -7.77 (proj -2.70), 3 real roots
# MurphyE = 8.72619934e-14

2017-09-08, 22:14	#75
Max0526 "Max" Jun 2016 Toronto 37D₁₆ Posts	C154 (not a record, my mistake) Last fiddled with by Max0526 on 2017-09-08 at 22:16 Reason: human error

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