20171220, 15:17  #1 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
2^{3}×643 Posts 
Cunningham ECM efforts
Hi all,
Whereabouts can I see who is doing ECM on the First five holes published here http://homes.cerias.purdue.edu/~ssw/cun/champ? 
20171220, 16:05  #2  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
11727_{10} Posts 
Quote:
Best I can advise it that if you want to join in you should run tests at the p60 level at the very minimum and preferably at p70. 

20171221, 09:22  #3 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
5144_{10} Posts 
Thank you Paul. Gonna issue an email to Sam because thereโs should be more coordination between who does the ecm and sieving so they donโt overlap each other.
Last fiddled with by pinhodecarlos on 20171221 at 09:28 
20171221, 09:27  #4 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
2^{3}×643 Posts 
I was wondering if yoyo can handle or be interested is supporting ecm efforts.
Last fiddled with by pinhodecarlos on 20171221 at 09:28 
20171221, 13:14  #5 
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
3^{2}×1,303 Posts 

20171221, 13:17  #6 
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
3^{2}·1,303 Posts 
Very few people have both the compute power and inclination to find Cunningham factors. As far as we know, everyone coordinates their work through Sam. That's the purpose of his reservation system. No need for further action, in other words.

20171221, 13:23  #7 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
2^{3}·643 Posts 
Ah see. Thank you Paul.

20171221, 13:29  #8 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
5144_{10} Posts 

20220725, 19:09  #9 
"Bob Silverman"
Nov 2003
North of Boston
2^{3}·3·313 Posts 
Update
Here is an update to a post that I made some time ago.
This post contains info about recent ECM efforts. There are currently 37 unfinished numbers from the 1987 hardcover edition of the Cunningham book. It would be nice to finish them. They are all from base 2, with index < 1200 for 2,n+ and index < 2400 for 2LM. These numbers were added in the early 1960's to the original 1925 tables. The original Cunningham book only took n <= 600. So these have been waiting for a while....... None of them have been sieved and are waiting for or running LA: () None of them are sieving: () According to Sam one is queued to start sieving: (2.2246M C221 via GNFS). Two more are "within reach" of NFS@Home: 2,1091+ and 2,1109+ [C225 via GNFS]. There are 34 left *if* these get done. According to Greg, these last two push NFS@Home limits. Perhaps 2,2350M, 2,1180+ and 2,2390L are within range of NFS@Home as octics? [unclear] They get quite a bit harder after that via SNFS. Of course the 2 table was finished to index 1200, so the rest are all doable, but it would take a massive effort. It is an open question as to how large a number can be done by NFS@Home. Greg says ~330 digits SNFS (225 GNFS) so even the smallest, e.g. 2,1097+, 2,2194LM are seemingly out of reach. How about a very large ECM effort to pick off as many of the rest as we can? Below is the current YoYo ECM Effort; 9900 @B1 = 2.9G is in progress. (default B2) Both Bruce Dodson and Ryan Propper have previously done extensive trials, aided by assorted efforts of others. The exact total is unknown. EPFL did 20K curves @1G for 2+ I've run 1000 curves at B1 = 3G with higher B2 limits than the GMP default. [I used equal B1/B2 times] Would it be worth it for YoYo to do a full t70? ========================================================================================== 2,1180+ 12010 @850M 9910 @2.9G 2,1139+ 12010 @850M 9910 @2.9G 2,1091+ 12010 @850M 9910 @2.9G 2,1097+ 12010 @850M 9910 @2.9G 2,2194M 12010 @850M 9910 @2.9G 2,2194L 12010 @850M 9910 @2.9G 2,2206L 12010 @850M 2,1109+ 12010 @850M 9910 @2.9G 2,2222L 12010 @850M 9910 @2.9G 2,2222M 12010 @850M 9910 @2.9G 2,1108+ 12010 @850M 9910 @2.9G 2,2246M 12010 @850M 9910 @2.9G 2,2246L 12010 @850M 9910 @2.9G 2,1124+ 12010 @850M 9910 @2.9G 2,1123+ 12010 @850M 9910 @2.9G 2,1129+ 12010 @850M 9910 @2.9G 2,2266L 12010 @850M 9910 @2.9G 2,1136+ 12010 @850M 9910 @2.9G 2,2278M 12010 @850M 9910 @2.9G 2,1147+ 12010 @850M 9910 @2.9G 2,1151+ 12010 @850M 9910 @2.9G 2,2306L 12010 @850M 9910 @2.9G 2,2302L 12010 @850M 9910 @2.9G 2,1153+ 12010 @850M 9806 @2.9G 2,2318M 12010 @850M 8212 @2.9G 2,1159+ 12010 @850M 2,1163+ 12010 @850M 2,1168+ 12010 @850M 2,2342M 12010 @850M 2,2350M 12010 @850M 2,2354M 12010 @850M 2,2354L 12010 @850M 2,2378L 12010 @850M 2,2374L 12010 @850M 2,1187+ 12010 @850M 2,2390L 12010 @850M 
20220725, 20:30  #10 
Jul 2003
So Cal
2,621 Posts 
2,2246M, and now that the NFS@Home linux sieves support octics, 2,2350M, 2,1180+ and 2,2390L are up next.

20220725, 20:33  #11 
Jun 2012
111101001001_{2} Posts 
As a point of reference, Yoyo should finish its current ECM effort on the 1987 Cunninghams in MarApr 2023. This was 9,900 curves @2900e6 on 43 composites in 2526 months.
Kicking up B1 to 7600e6 on the remaining 3337 composites will take 34 years(?). But what else can be done? (I did wonder recently if running 1,000 curves @B1=26e9 (fixed value for t80 on Yoyo@Home) was worth trying but it would still take years to run. For only a thousand curves. Seems like a lot of work for a small payoff.) Some details about running higher B1 values on Yoyo can be found here. 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Recommended bases and efforts  gd_barnes  Conjectures 'R Us  190  20230226 09:01 
Doublecheck efforts; S66/S79 to start with  gd_barnes  Conjectures 'R Us  16  20140807 02:11 
Cunningham ECM Now Futile?  R.D. Silverman  GMPECM  4  20120425 02:45 
ECM efforts mistake?  10metreh  mersennewiki  1  20081228 13:31 
ECM Efforts  R.D. Silverman  Factoring  63  20050624 13:41 