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Old 2010-04-01, 07:53   #56
Batalov
 
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Phi(4,2^7658614+1)/2

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Non sequitur?

Phil_Moore is from Maryland.
32.893,-117.2535 is definitely in California. You betcha.

P.S. Gotta love the new smilies.
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Happy April's whatever!
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Old 2010-04-01, 22:21   #57
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Quote:
Originally Posted by Raman View Post
6,355+ c211 = p60*p61*p91
In any case, if you assume that this is an ECM miss
...
This number was perhaps somewhat under-tested by ecm. Only
4t50, fewer curves than needed to find a p55 factor. A full ecm
pretest, relative to the sieving difficulty, still would not have been
sufficient to find a p60, or even two. -bd
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Old 2010-05-21, 03:49   #58
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I have brought shame upon my family through the 11th generation: the C171 was a P61.P111.

Code:
P61= 3892757110616175619125134299275807031820501573185619194311329
Thanks to jrk for the polynomial.

(I shall now absent myself from the presence of more worthy people.)d

Last fiddled with by Batalov on 2010-05-21 at 05:40 Reason: a typo fix
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Old 2010-08-20, 16:10   #59
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This C178 GNFS ran a little faster thanks to jrk's suggestion that we try triple large primes on the algebraic side:

n:
Code:
3495720155744160390308702080911694892393254003819177989194364433392602119210358965833430295064663146579080152295928278131537398607330890608815038143831212204077824454760817944697
# norm 1.828473e-17 alpha -7.945069 e 9.914e-14
skew: 5242872.26
c0:  1415684462271305089012313057623015234842880
c1:  56489085491552175398550702459917716
c2: -355405802142076475701272154680
c3: -30573939026244353965597
c4:  18914955682611026
c5:  637985160
Y0: -5594293033634964367018772799829077
Y1:  10914669743009582011
rlim: 60000000
alim: 60000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 90
rlambda: 2.6
alambda: 3.6
This seems to buy around an 8% improvement in speed for GNFS jobs of this magnitude. The individual Q values require more time, but we generate more relations per Q.

The C178 split as P68.P110:

Code:
P68: 76772819749620922859599019064869997729081875556728878881833848945739
P110: 45533304197302470775235834478317413598842411794792485571017691246712640554863455599919842904873592456844389323
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Old 2010-08-21, 02:34   #60
Batalov
 
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That's a very neat trick. Congratulations!
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Old 2010-11-02, 21:04   #61
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NFS@Home has finished 6,346+. A standard, run-of-the-mill SNFS. The log is attached.

Code:
prp95 factor: 56164757259658694865317697513568456493084555649771650505190443472644658585771052699471490056581
prp147 factor: 11960561240826642457187862060325535944398686262517008326251321014
2881955861855697561030442897124917553684448866765015014996075103318345732384959573
Attached Files
File Type: zip 6p346.zip (3.9 KB, 123 views)
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Old 2010-12-01, 21:26   #62
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NFS@Home has finished 6,379+ by SNFS. This is a second-place Cunningham project champion for SNFS difficulty. Perhaps a little more ECM was in order. 690M unique relations produced a 36.3M matrix. The complete log is attached.

Code:
prp62 factor: 39594233382490829759605818014230525162442624379592766682403039
prp208 factor: 4820647143682973621292002958588937598451150284915247942312749863705514560478233011200820934852999072676798890436532716898257110294756505772592641375094560163124805206507825142957485484934879455289116453808211
Attached Files
File Type: zip 6p379.zip (6.2 KB, 143 views)
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Old 2010-12-02, 14:01   #63
R.D. Silverman
 
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Quote:
Originally Posted by frmky View Post
NFS@Home has finished 6,379+ by SNFS. Perhaps a little more ECM was in order.
I concur. Perhaps we can cajole EPFL to running pre-sieving ECM
trials on NFS@Home candidates?????? Just an idea......

I'd like to cajole them into running ECM trials on the 2+ tables as well
as the 2-. They are doing such a terrific job with the latter.
I'm sure they could save a lot of NFS time by picking off some of these
numbers.
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Old 2010-12-02, 14:15   #64
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Quote:
Originally Posted by frmky View Post
This is a second-place Cunningham project champion for SNFS difficulty.
Isn't it third (2,1039- is 1st, 2,1183- is 2nd)?
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Old 2010-12-02, 18:12   #65
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Quote:
Originally Posted by 10metreh View Post
Isn't it third (2,1039- is 1st, 2,1183- is 2nd)?
Yes, it is. So many records are falling lately I can't keep track!
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Old 2010-12-02, 19:04   #66
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Quote:
Originally Posted by frmky View Post
NFS@Home has finished 6,379+ by SNFS. This is a second-place Cunningham project champion for SNFS difficulty. Perhaps a little more ECM was in order.

Code:
prp62 factor * prp208 factor
Despite much reduced resources, the Lehigh pretest on this number
was 23827 new curves (B1 = 260M, B2 = gmp-ecm default) upon it's
selection as a NFS@Home candidate; following an initial test of 1.5t50,
so c. 2400 additional curves. Past 3t55, but short of c. 5t55 = c. t60.

The current test of a new windows7 image is showing 100 cores by day,
600 cores overnight (core 2 duos). That's still below the c. 1200 cores
with the old xp image, but these may be faster, with more memory. But
a lot better than none during the c. six months (I forget how long it's been)
while the windows people had excluded condor/ecm. On purpose. The
daytime test is very good to see, if it passes; the first year-or-so was
24/7, which was dropped to 12/7 on wide-spread belief that there was
serious interference --- especially condor being slow to exit, while people
were trying to get in-class presentations to open. Very not good.

Even if/when enhanced resources are up and stable (they're being very
thorough about testing; which is good), I don't see tests past 2t55 as
good use of the University's resources. Near-term large distributed 16e
projects are a worthwhile exception, but 60% of t60 (= c. 3t55) is about
as far as I'd like to go (that's perhaps t57.5? no promises here about
p59-and-up).

I also find it hard to believe that a boinc project for testing past 2t55
(that is, after 2t55 has failed, running towards t60) would be attractive.
Just too few factors in [2t55, t60], unless one has a very large pool of
very patient users. Besides, GPU projects get far better credit/price than
any CPU app.

-Bruce (Looks like GPUgrid runs on our linux/tessla 20's (c2050), so perhaps
I'll see for myself.)
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