20091222, 21:23  #34  
Nov 2003
2^{2}×5×373 Posts 
Toss Up!
Quote:
5799 6, 338+ c222 950762354554992360834931338167078172382237056559450288273. c165 Dodson ECMNET Whether to do this by SNFS (exponent divisible by 13) or GNFS is a tossup. Since the former requires no polynomial search, I would go with that. 

20091223, 07:33  #35  
"Sander"
Oct 2002
52.345322,5.52471
29×41 Posts 
Quote:
Last fiddled with by smh on 20091223 at 07:33 

20091223, 07:51  #36 
Oct 2004
Austria
2×17×73 Posts 
Silverman means that the c165 cofactor can either be done by SNFS or by GNFS (with almost equal difficulty).
Last fiddled with by Andi47 on 20091223 at 07:52 
20091223, 07:52  #37  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
lists B1 and sigma, the remaining question is the c165 cofactor, rather than the p57. This was found during pretesting for the next round of NFS@Home reservations. Sounds like Greg still plans snfs. Bruce 

20091223, 09:21  #38 
"Sander"
Oct 2002
52.345322,5.52471
29×41 Posts 

20100101, 08:28  #39  
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
4E9_{16} Posts 
6,323+ has been completed up
Quote:
http://escatter11.fullerton.edu/nfs/numbers.html Last fiddled with by Raman on 20100101 at 08:31 Reason: only, by now itself, just simply, right now 

20100101, 09:19  #40 
Jul 2003
So Cal
2,083 Posts 
As Raman reports, 6,323+ finished a bit early and squeaked into 2009. It was originally due midDecember, but the linear algebra failed. A few relations were trimmed, and a new matrix was constructed and successfully solved. The log is attached.
In total, NFS@Home factored 22 Cunningham composites in its nearly four month existence, and has six more currently in linear algebra. I'm looking forward to what 2010 will bring! 
20100107, 22:05  #41 
Jul 2003
So Cal
2,083 Posts 
6,331+ is factored. As a test, it was completed with 32bit large primes. The size of the matrix generated was about the same size as would have been generated with 31bit LPs, demonstrating that the matrix size does not strongly depend of the large prime bound. The log is attached.
68digit prime factor: 10001312033685801300032151531732232582514112692078389782701922973061 160digit prime factor: 65895276032273530263048875365535917359061535246511133624566186538715266554188340585/ 77770302531875655837482720443630406486478245944869941397820842114167390421773 
20100107, 22:31  #42  
A Sunny Moo
Aug 2007
USA (GMT5)
1869_{16} Posts 
Quote:


20100108, 19:09  #43 
Jul 2003
So Cal
823_{16} Posts 
Not a problem. I usually add them, but yesterday was a crazy day and I didn't get to it.
6,332+ is now also factored by SNFS. This one was routine. The log it attached. 69digit prime factor: 650106680542055228216904187084969212101711180529566573956155238949369 108digit prime factor: 437044495846780459786775320213708755010180640454196959129029284718895597993040438934936850297533075756275529 
20100204, 22:36  #44 
Jul 2003
So Cal
2,083 Posts 
NFS@Home has completed 6,338+. Another routine SNFS following Bruce's ECM find, but a nice split. The cofactor was definitely out of reach of ECM.
prp82 factor: 7374816340411679132081492812954747890931208487192188857067501570272900803526414417 prp83 factor: 19672458683457789288278992418450933122786990415625278087649712338543546066768023737 
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