Gratuitous OPN factors - Page 9

warut · 2011-09-01, 03:01

From Pascal's t450.txt, by GNFS:

Code:

C134 of 310897033^23-1
P46: 6014735330795592400584042952407842856924264491
P88: 8849943365735989543144261430887106186958446892386667592115542044101769109175048793353533
 
C135 of 172918880358232491224830637233905569874719873338729915557207194422824133751^3-1
P49: 1065986364253192818211068837505318751202257058409
P87: 117351193470722633964540682568501661560506209131644139223709004570569525385564146599229

warut · 2011-09-22, 19:23

From Pascal's t450.txt, by SNFS:

Code:

C137 of 88741^37-1
P43: 5273193309004839136541774339700539510764291
P94: 2992790925921451781781753769196694598451560275174104933556686092135810647157620087815102877509

From Pascal's t600.txt, by GNFS:

Code:

C135 of 19531^53-1
P48: 244016823317203043056924205739882680382504301781
P88: 1508743519357453421234463324346075440206501212270298876278852774070647959838610821859431

em99010pepe · 2011-10-25, 11:06

Quote:

Originally Posted by em99010pepe

I'll do 2237^53-1.

Code:

Number: example
N = 1523440012293408638737470565585097391761721006855914091979448309464844673205320010367760111750691501853306331820440664156819765779325025378211775481035029136695021087366574861 (175 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=13000420452166895067067332161521267902831699477187917097956421421708987022933104297 (pp83)
r2=117183903235951373932355545536131338126542084151147797072100327619716389279029984168986627013 (pp93)
Version: Msieve v. 1.48
Total time: 45.06 hours.
Factorization parameters were as follows:
n: 1523440012293408638737470565585097391761721006855914091979448309464844673205320010367760111750691501853306331820440664156819765779325025378211775481035029136695021087366574861
Y0: -1402793861789759972800469350877
Y1: 1
c0: -2237
c1: 0
c2: 0
c3: 0
c4: 0
c5: 0
c6: 1
skew: 3.616410021
type: snfs
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21796641
Relations: 2587182 relations
Pruned matrix : 1457728 x 1457955
Total sieving time: 41.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.27 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,181,6,0,0,0,0,0,0,0,0,7300000,7300000,28,28,55,55,2.5,2.5,100000
total time: 45.06 hours.
Intel64 Family 6 Model 30 Stepping 5, GenuineIntel
processors: 4, speed: 2.41GHz
Windows-7-6.1.7600
Running Python 3.2

pinhodecarlos · 2011-10-28, 13:03

SNFS sieving by RSALS
Post Processing by Carlos Pinho

Code:

227^89-1
prp60 factor: 238489190453048350916192479075772672452189863353189747161819
prp73 factor: 2259961050085133581089238332821102204452544520407504215495886812928008193
prp74 factor: 22272561481152167322052841723147000396140698542385007135582114091419676977

229^89-1
prp91 factor: 6640078017672403791965058436180905910143932382151346936309170843834996314044243569234204543
prp96 factor: 452701893803697979236858066216870203830353323079614974620926009280953565689634787670947526294437

chris2be8 · 2011-10-28, 15:49

sigma(1021^60) = 7560000175233893318967111801899904940742250904366069012951 * 460731907578033030472562711780080775368602412513595266550552106275261342257140634225293284432406601986752897061764412390211

Already in factordb.

Chris

fivemack · 2011-10-28, 22:03

2615572838168805021778786565897113372950929986498373658338304029921

is the smaller interesting factor of 163^89-1 (I managed this in under 24 hours, admittedly on 24 cores, but it finished just after I went out for the evening ...)

chris2be8 · 2011-10-31, 09:45

sigma(2269^52) = 562456758106219694765514785472123229419703216423391461882318069943428601217824417 * 5668864708175640226448111855961754273637651730594786606558387735715772589519342095278765166893

sigma(1301^58) = 12211120656664088724559920106487475772166549243308900287695363 * 348066016043751734695386978892160128616882332958376036749638447421861503611811114125082723285410473162343382775638911293

Both already in factordb. Things should speed up a but now I've got two systems working on the job. I'll post the script when I've finished testing it.

Chris K

pinhodecarlos · 2011-10-31, 17:27

SNFS sieving by RSALS
Post Processing by Carlos Pinho

Code:

6781^59-1
prp70 factor: 6423529725151630502383845139730174453335200540386250152785265769861493
prp117 factor: 245123537376934027870511097857814615777386061310491347083298687710540005138213610503163787390305081471684687111209487

chris2be8 · 2011-11-02, 08:34

(1361^61-1)/1360 = 201962298227304353331021393993392187391021113281614591567339301163940601819523965718014897119 * 532765906329380567136389437549209255986217097429877090019837203313887115236945322775864414700419

Definitely not an ECM miss...

Chris K

chris2be8 · 2011-11-03, 10:20

(1481^61-1)/1480 = 6007145411376111876855725964882107490397091021350021 * 2850550305071703635956211461547562317049227599967035438151370527117482321056182427867902586759917692979334893549538441111300828348819101641

Chris K

chris2be8 · 2011-11-04, 09:41

(1487^61-1)/1486 = 743029066194999582544103252001750832064039282258066862683563 * 29372740427819560086018674018169655398328015411790542998506002222005352122683846280422910181310131482617773035025296653013462560227

Chris K

2011-10-28, 22:03	#94
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 2×13²×19 Posts	2615572838168805021778786565897113372950929986498373658338304029921 is the smaller interesting factor of 163^89-1 (I managed this in under 24 hours, admittedly on 24 cores, but it finished just after I went out for the evening ...) Last fiddled with by fivemack on 2011-10-28 at 22:03

2011-10-31, 17:27	#96
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 1353₁₆ Posts	Gratuitous OPN factors SNFS sieving by RSALS Post Processing by Carlos Pinho Code: 6781^59-1 prp70 factor: 6423529725151630502383845139730174453335200540386250152785265769861493 prp117 factor: 245123537376934027870511097857814615777386061310491347083298687710540005138213610503163787390305081471684687111209487 Last fiddled with by pinhodecarlos on 2011-10-31 at 17:27

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2011-10-28, 15:49	#93
chris2be8 Sep 2009 2·7·149 Posts	sigma(1021^60) = 7560000175233893318967111801899904940742250904366069012951 * 460731907578033030472562711780080775368602412513595266550552106275261342257140634225293284432406601986752897061764412390211 Already in factordb. Chris

2011-10-31, 09:45	#95
chris2be8 Sep 2009 2·7·149 Posts	sigma(2269^52) = 562456758106219694765514785472123229419703216423391461882318069943428601217824417 * 5668864708175640226448111855961754273637651730594786606558387735715772589519342095278765166893 sigma(1301^58) = 12211120656664088724559920106487475772166549243308900287695363 * 348066016043751734695386978892160128616882332958376036749638447421861503611811114125082723285410473162343382775638911293 Both already in factordb. Things should speed up a but now I've got two systems working on the job. I'll post the script when I've finished testing it. Chris K

2011-11-02, 08:34	#97
chris2be8 Sep 2009 2×7×149 Posts	(1361^61-1)/1360 = 201962298227304353331021393993392187391021113281614591567339301163940601819523965718014897119 * 532765906329380567136389437549209255986217097429877090019837203313887115236945322775864414700419 Definitely not an ECM miss... Chris K

2011-11-03, 10:20	#98
chris2be8 Sep 2009 2×7×149 Posts	(1481^61-1)/1480 = 6007145411376111876855725964882107490397091021350021 * 2850550305071703635956211461547562317049227599967035438151370527117482321056182427867902586759917692979334893549538441111300828348819101641 Chris K

2011-11-04, 09:41	#99
chris2be8 Sep 2009 2×7×149 Posts	(1487^61-1)/1486 = 743029066194999582544103252001750832064039282258066862683563 * 29372740427819560086018674018169655398328015411790542998506002222005352122683846280422910181310131482617773035025296653013462560227 Chris K