20190628, 23:42  #1 
Nov 2016
23×103 Posts 
10, 323
10, 323 is the first hole of the 10 table as of 2014 (almost 5 years), and until now nobody factored it, currently it is one of the "most wanted" number in the Cunningham project (see http://homes.cerias.purdue.edu/~ssw/...dir150/want135)
The composite cofactor of this number is C271 (i.e. 271 digits), currently there are 3 C271 composite numbers that are being factored (2,1072+, 3,763 and 5, 449) see http://homes.cerias.purdue.edu/~ssw/cun/who), but not including 10, 323, is there any interest for this number? Last fiddled with by sweety439 on 20190628 at 23:43 
20190629, 00:14  #2  
Nov 2003
2^{6}·113 Posts 
Quote:
for GNFS. All of these numbers are being done by SNFS. The size of the composite cofactor is irrelevant. e.g. 2,1072+ is a C323 via SNFS. Quote:
it will start on C318's. It should get to 10,323 in perhaps a year or two. 

20190629, 00:38  #3 
"Curtis"
Feb 2005
Riverside, CA
3^{3}×163 Posts 
OP could do some ECM curves at B1=850M or bigger; if a factor of 60 or more digits is found, any remaining C211 or smaller cofactor is then a GNFS candidate, and one we might be interested in.
This number deserves a t65 or so anyway, so running a few tens of thousands curves on ECM is productive work. Go for it, sweety! 
20190629, 00:54  #4  
Nov 2003
2^{6}·113 Posts 
Quote:
to run ECM start at B1 = 3G or more. I would not bother. The number is ready for NFS. 

20190629, 00:58  #5  
Nov 2003
2^{6}×113 Posts 
Quote:
Bruce and Ryan...... 

20190629, 04:08  #6 
"Curtis"
Feb 2005
Riverside, CA
3^{3}·163 Posts 
Thank you for the correction. I guessed that this was tested only slightly further than the smallerbutneeded C204 in the other active thread.
How high in SNFS difficulty do you think NFS@home can go with 16f/33LP? I wonder when we run out of yield within the Qrange that GGNFS can test. SNFS340? 350? Last fiddled with by VBCurtis on 20190629 at 04:09 
20190629, 10:25  #7  
Nov 2003
2^{6}·113 Posts 
Quote:


20190629, 17:06  #8 
"Beschorner Kurt"
Jul 2016
Germany
19 Posts 
I can put in the YOYOqueue some/a lot of curves with B1=2e9.
But is that useful if NFS@home starts R323snfs in about 1 year? Kurt 
20190629, 19:05  #9 
"Curtis"
Feb 2005
Riverside, CA
3^{3}·163 Posts 
No, as Mr Silverman explained it's ready for NFS already. There are more difficult numbers that haven't had t65+ and make sense for yoyo. I think running 3e9 curves on this number would be for the glory of a 70ishdigit factor rather than necessity.

20190629, 20:39  #10  
Nov 2003
2^{6}×113 Posts 
Quote:
There are plenty of numbers in that list! 

20200922, 22:48  #11 
Nov 2016
23×103 Posts 
10, 323 still not be started to factor (see https://homes.cerias.purdue.edu/~ssw/cun/who.txt), however, 10, 323 is the third most wanted number in https://homes.cerias.purdue.edu/~ssw/cun/want137.txt now, I think we (or NFS@home) should factor it, it is more important than 3,667, 6,451, 7,376+ (which are started) etc.
