20210212, 19:58  #12 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
24F8_{16} Posts 
Yeah, for this table I did not put "/q" hints (in the last/"comment" column)  because not all of them are.
There are many easy sextics there, but there is no compelling reason to do them right now. (because there will be no credit. All that folks do on xtend tables will go uncredited.) One should wait for the moment of merge of xtend tables into general tables. 
20210212, 22:25  #13  
Apr 2020
2^{3}×3×13 Posts 
Does
Quote:


20210212, 23:52  #14 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}·7·13^{2} Posts 
The latter. (Usually Sam did that ecm'ming himself; recently he started opening these to the public. You can safely assume that a t55 level is definitely already done on all of these.)
It does also mean a small mix of other methods, especially if/when they are easier than ecm. E.g. if Sam hits a c200 with a p59, then he runs a small GNFS himself; and so does anyone who previously participated in these preextension sprints. If you ask me, it is a more meaningful weekend hobby job than moving some sevendigitseed aliquot sequence 2 or 3 steps higher. 
20210226, 19:25  #15 
Apr 2020
2^{3}×3×13 Posts 
2,2786M c219 = p56 * c163 (GNFS in progress)
Can confirm that ECM is very much worthwhile:
Code:
Input number is 112962684910978005979707883110687425334751394055520879404011959657332843602530827086693504635422750727754158030487431949129607839267073568635226319122113659002180679302496838174314943902966481942043022475798041473053257 (219 digits) Using B1=400000000, B2=4767896883766, polynomial Dickson(30), sigma=1:950355941 Step 1 took 887735ms Step 2 took 208937ms ********** Factor found in step 2: 18079030929723990295640293502821337497340759521793530157 Found prime factor of 56 digits: 18079030929723990295640293502821337497340759521793530157 Composite cofactor 6248271013533942187625468605111142926663041596213979398984907236621613347487386335033546137192022175920901985083517768960203749984569259931558968042151449551468301 has 163 digits 
20210227, 16:10  #16  
Jun 2012
3,037 Posts 
Sam now reports running ECM for ~300 curves per number
Quote:
I was going to queue the new work by increasing number of digits, but willing to take requests. It will take years to get these all up to the just the t60 level. And don’t forget the 1987 list is still in play. This strategy tries to please everyone thus guaranteeing no one will be pleased. One other observation from Sam Quote:
One last note  I was recently reminded of this page. What’s the protocol here? Best to avoid any numbers on the GIMPS page? Or will any additional “rogue” ECM work be embraced? Last fiddled with by swellman on 20210227 at 16:11 

20210227, 18:41  #17  
Apr 2020
470_{8} Posts 
Quote:
I've got a few machines running curves on composites below c250, reasoning that if an ECM factor leaves behind a composite cofactor, then it will be within GNFS range  and that's worked out nicely, as you can see above. Quote:


20210228, 13:51  #18 
Apr 2020
2^{3}×3×13 Posts 
Pleased to see that Sam has credited me with a new record ECM factor
Code:
3458 2,2750M c185 33064259907061907187454540598801861343151128939115124241607813225512323356759645078501. p99 Balfour ECM Last fiddled with by charybdis on 20210228 at 14:07 
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