20151218, 00:19  #1 
Aug 2005
166_{8} Posts 
ECM report
Where does the data for the ECM report come from? It does not match exponent status for say, just to pick a random exponent, 9007753. I do not see the 714 Bound #1 equals 3,000,000 curves listed in the ECM report in the exponent status history for 9007753.

20151218, 01:06  #2 
"Curtis"
Feb 2005
Riverside, CA
13×397 Posts 
The ECM individual report lists only curves reported via Prime95. Manuallyreported curves are manually added to the curve totals, but not to the individual reports.

20151218, 02:06  #3  
Nov 2008
3·167 Posts 
Quote:


20151218, 03:16  #4 
"Curtis"
Feb 2005
Riverside, CA
13×397 Posts 
What does that link demonstrate? Please explain.
If your mostrecent submissions on that link were manually submitted, change my "are" to "were", as for quite a few years the manual submissions were not [consistently] posted. It's still the reason the individualreport counts don't match the total work done in many cases. 
20151218, 03:49  #5 
Aug 2005
118_{10} Posts 
So, who did the 714 Bound #1 = 3,000,000 curves? I must have a secret helper.

20151218, 06:34  #6 
"Curtis"
Feb 2005
Riverside, CA
13×397 Posts 
Ah, I see. Curves run at various bounds can be converted the site uses a primitive conversion that 3 curves at 1M is "worth" 1 curve at 3M. It's not very accurate, but that's how it works. A better conversion is 1500 curves at 1M is about the same fraction of a T40 as 250300 curves at 3M, but that's not how it works on the site.
If you bring up a list of ECM work, you'll see the lowest # of 3M curves as 527 or so; this is the number of curves at 3M equivalent to a T35. That is, the moment someone completes enough work for 1580 curves at 1M, the column changes to "complete" and the 3M column changes to 527 (or 526?). This reflects the chances that curves run at 1M find a factor in the 40digit range. So, your own curves at 1M were your secret helper. 
20151218, 07:09  #7 
Aug 2005
1110110_{2} Posts 
Thank you. That is an extremely helpful answer. So If someone did 17,100 44M curves would 40D, 45D and 50D show done with a head start on 55D? I would not actually do the 44M curves before finishing the 3M curves except for benchmark timing purposes. I am just asking so as to test my new understanding of the ECM report.

20151218, 19:21  #8 
"Curtis"
Feb 2005
Riverside, CA
1429_{16} Posts 
Yes, definitely. Largerbound curves will find the smaller factors, just not as efficiently (in terms of time spent to find, say, a 40digit factor) as the "optimal" bounds.
Unfortunately, smallerbound curves have a vanishingly small chance to find large factors (say, sixty curves at 50k have almostno chance to find a 40+ digit factor), but the B1 conversion is done linearly for simplicity; that is, 60 curves at 50k is "worth" 3M B1points, even though those 60 curves have no meaningful contribution to a T40. 
20151219, 02:58  #9  
Nov 2008
3·167 Posts 
Quote:
Like this M29287 

20151219, 04:58  #10 
"Curtis"
Feb 2005
Riverside, CA
1429_{16} Posts 
Cool! This encourages me to do a bit more work with GMPECM on the smallest compositeswithnoknownfactor.

20151219, 09:07  #11  
"Victor de Hollander"
Aug 2011
the Netherlands
2^{3}·3·7^{2} Posts 
Quote:
There was a post where George quoted the conversion formula used by Primenet to convert the larger GMPECM Stage 2 bounds to the bounds used by Primenet. I can't find it at the moment, as I'm typing from a phone. 

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