20110324, 19:01  #67 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{2}×3×797 Posts 
A fourway split is looming on the horizon...
As the numbers keep growing, sooner or later a p6X * p6Y * p6Z * p6W may happen  but most probably not in 2+/2 series that have an advantage of a more effective ECM implementation and deeper testing; for these series, even a p6X would look like an ECM miss. 
20110403, 13:31  #68 
Jun 2005
lehigh.edu
1024_{10} Posts 
As Serge notes in an update to the 11 list yesterday, 11^{17^2}1
= 11^2891 is also done, but the factors haven't yet been reported. Another ECMNET factorization, C204 = p62 * p142, with a report in to Sam and Paul, but loria.fr seems to be down for the weekend. Just to avoid any unnecessary suspense, that's Code:
p62=55046695546239509301375603158875976783741983320572166350721391 one may notice from Serge's update of the Garo Tables, 11 is now of length six, and is perhaps another candidate for an extension fairly soon. Bruce 
20111129, 17:53  #69  
Jun 2005
lehigh.edu
10000000000_{2} Posts 
Quote:
Code:
p62 =42056897140345980513090610629221667708001747337163664155114169 shown paging for larger numbers, B1=9e8, which is the local approximation to the middle epfl runs with B1=1e9 (on 2+). So c191c233 has gotten (relatively) pounded, past t60, towards 2t60. For examples, the first two holes on this 11 list, as well as the new 5th hole, are unlikely to have small factors; with p5x's removed (to 80% or better). These three are diff 280287's. The 3rd hole, C268 is from the range c250c288, on which the pc/grid has completed 2t55 (B1=400M or B1=600M). The 4th, at C300 is in the current undertested range, each one getting a new 2t55, ordered by size, two C289's running. Two examples from October were p58 and p59, both from C283's, with B1=600M. Undertested. Bruce 

20120827, 13:07  #70 
Jun 2003
Ottawa, Canada
495_{16} Posts 
RSALS has finished 11,339:
Code:
prp90 factor: 643810446382567117188524103323463470990370010759293381799712563863244254073580461427551183 prp144 factor: 264324357713710461902909612177604515669918586522740973726126103121758058526717788889149540436368339883627634262655027633736947692141680465595887 
20130119, 19:42  #71 
Jul 2003
So Cal
2^{2}×547 Posts 
NFS@Home has finished 11,301.
Code:
prp106 factor: 3976039483499389676430116832962806242630315542305918376132402951153973900378536972807171245752233930860633 prp156 factor: 143431603274489333827632922976306375527002795502061753282652525122256521218096635020753694428605246222986451058439320718556500751743561220306419401130484819 
20160211, 16:45  #72  
Sep 2009
2^{7}×17 Posts 
I think this is worth repeating here, since 11^3111 is one of the first 5 holes in it's table.
Quote:


20160212, 02:32  #73 
Romulan Interpreter
Jun 2011
Thailand
2^{4}·13·47 Posts 
Yay! Give back RDS' permission to access the forum, make him happy for some time!
Last fiddled with by LaurV on 20160212 at 02:33 
20160212, 02:41  #74 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{2}·3·797 Posts 
No joy there. I can readily tell you what he would say (and, sadly, it is true*):
"This is a (so called) useless factor." __________ *check this forum way back for other people's opinions on similar factors, as well. It has nothing to do with the size of the factor, only with the result on the ETA for factoring this particular number. The change in ETA is almost zero. 
20160213, 17:03  #75 
Sep 2009
2^{7}·17 Posts 
Slightly more significantly, (11^3111)/10 was the first hole with no known factors. So the factor was at least worth a mention.
Chris 
20160801, 06:38  #76 
Jul 2003
So Cal
2^{2}·547 Posts 
11^2831 is done.

20160905, 16:25  #77 
Jun 2005
lehigh.edu
2^{10} Posts 

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