Cunningham ECM efforts

[pinhodecarlos]

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?

[xilman]

Originally Posted by pinhodecarlos

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?

To the best of my knowledge you can't. Not easily anyway. Sam has never made that information public and, AFAIK, he can't do so because he's not told it either.

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.

[pinhodecarlos]

Thank you Paul. Gonna issue an email to Sam because there’s should be more coordination between who does the ecm and sieving so they don’t overlap each other.

[pinhodecarlos]

Originally Posted by xilman

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.

I was wondering if yoyo can handle or be interested is supporting ecm efforts.

[xilman]

Originally Posted by pinhodecarlos

I was wondering if yoyo can handle or be interested is supporting ecm efforts.

Yoyo seems to be doing just fine. Overnight the team found two GCW factors, a P57 and a P54. Of the same number!

[xilman]

Originally Posted by pinhodecarlos

Thank you Paul. Gonna issue an email to Sam because there’s should be more coordination between who does the ecm and sieving so they don’t overlap each other.

Very few people have both the compute power and inclination to find Cunningham factors. As far as we know, everyone co-ordinates their work through Sam. That's the purpose of his reservation system. No need for further action, in other words.

[pinhodecarlos]

Originally Posted by xilman

Very few people have both the compute power and inclination to find Cunningham factors. As far as we know, everyone co-ordinates their work through Sam. That's the purpose of his reservation system. No need for further action, in other words.

Ah see. Thank you Paul.

[pinhodecarlos]

Originally Posted by xilman

Yoyo seems to be doing just fine. Overnight the team found two GCW factors, a P57 and a P54. Of the same number!

What are the odds?

[R.D. Silverman]

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

[frmky]

2,2246M, and now that the NFS@Home linux sieves support octics, 2,2350M, 2,1180+ and 2,2390L are up next.

[swellman]

As a point of reference, Yoyo should finish its current ECM effort on the 1987 Cunninghams in Mar-Apr 2023. This was 9,900 curves @2900e6 on 43 composites in 25-26 months.

Kicking up B1 to 7600e6 on the remaining 33-37 composites will take 3-4 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.