20070109, 05:59  #1 
Jun 2005
lehigh.edu
2^{10} Posts 
Top 10 GMPECM for the year
Anyone that felt there wasn't a chance at making the top10 ECM
list, as being too difficult in 2006 might consider posting an entry on the brand new 2007 list. Well, almost new, just a p46 and a p50 so far; with eight free slots  a p10 makes the list! Actually, Paul probably won't appreciate a flood of 8 p1x's, but seriously, here's your chance to make the list with a p35p40 from one of the servers (running gmpecm?) on less tested numbers. Bruce (http://www.loria.fr/~zimmerma/records/ecmnet.html for the top 10 of 2007, only the p50 listed, with a p46 Cunningham report pending http://www.loria.fr/~zimmerma/cgibin/last.cgi?date) Last fiddled with by akruppa on 20070109 at 08:48 Reason: fixed url 
20070110, 15:34  #2  
Jun 2005
lehigh.edu
2^{10} Posts 
update, free slots going fast!
Quote:
grabbing a slot with a p43 from 823^5771. CWI has the new top entry, a p51, also a nonCunningham. Today's p46 (the 2nd from our condor xp grid) takes the 3rd slot away from the earlier p46, pushing Alex's p43 down to 5th (sorry ). Bruce 

20070115, 15:12  #3 
Jun 2005
lehigh.edu
1024_{10} Posts 
get'm while they're (still) cheap!
Well, that went quicker than I expected. Lehigh turned out to be
unusually idle over the semester break; and, as reported in the Cunningham Tables thread, CWI decided to join the "competition" with "all of our machines". So it's not a surprize that CWI grabbed the last two free spots on the top10 ecm for 2007 (that is, gmpecm). So why am I (still) occupying bandwith here? Good Question! News Flash: prelims are over! While it is true that there are no longer free slots, there are still (at least) four relatively inexpensive slots. The first 10 factors reported included 3 at 50ormore digits, and 3 with 49digits. Next is a single 47digit prime factor. While Alex's 43digit factor won't last (having been bumped to 10th of the ten slots), a 48digit or large 47digit factor has a plausible chance of staying on the list for a while. (Depending, perhaps, on how long CWI stays interested.) A prime factor of 5052 digits has a good chance of staying on the top10 list for a month or two. Of course, the list is for the top10 _of 2007_ for which (judging by 2005 and 2006) one needs a factor of 56 or 55digits. But one point established by the ecm records is that persistently looking for 5052 digit factors does occasionally pick up larger factors  for example, the 2nd largest of 2006, with 61digits, was found with (first step limit) B1 = 43M, optimal for finding 50digit factors. Besides which, everyone factoring anything other than Cunningham numbers might notice that we managed to bump all nonCunninghams out of the top10 in 2006 [unlike 2005]; so perhaps you'll have better luck this year! Bruce 
20070119, 15:31  #4  
Nov 2003
2^{2}×5×373 Posts 
Quote:
extensions. 

20070119, 15:53  #5  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
that the 2nd largest factor of the group order of the lucky curve (random sigma value) is 201209201, so B1 > 201M, perhaps likely B1=260M (p60 optimal); and largest factor 7140622896769, so B2 (2nd step limit) > 7.14e12. These are larger than the primes in the orders used for many of the previous p6x ecm factors. That brings the stats to CWI: 7, bdodson: 3. As I was predicting upon hearing Peter's declaration that CWI was joining the competition. A certain amount of rivalry is good, productive, yes? bdodson 

20070119, 16:03  #6 
Oct 2004
Austria
2×17×73 Posts 

20070120, 15:07  #7  
Jun 2005
lehigh.edu
1024_{10} Posts 
Update
Quote:
perhaps some "reflective narative" on the current stats are in order (or, at least, nottoofar outoforder!). Things have moved rather quickly, as CWI, has in fact remained interested. That p47 is now in the 10th slot, and seems unlike to last much past the weekend (if it isn't already gone, pending Willemien's reading of overnight factors). The best that can be said towards keeping this competition from entirely turning primarily into a spectator sport is that the 49digit prime factors aren't too large, so that a p49 above 4.0*10^48 will remain above the four p49's on the current page (actually, 3.6 would be above 3 of the 4). Quote:
grin here? ... ) , the above jab spectacularly missed the mark, unless anyone imagines that the new p61, coming from 77^1031, won't last the year. Actually, the new p6x coming so early in the new year is Really, Really good news, seems to me. We now have eight, and Richard Brent's champs list for alltime, allprogram ecm factors has just two p59's as the last p5x remaining (this list being restricted to prime factors from large composites, not easier by Msieve, et. al.). As we get nearer to 10 p6x's, past experience would suggest that a p7x would no longer be premature. On to 256bit ecm factors! Bruce 

20070124, 16:06  #8  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
I know, at the moment) are bdodson: 5, CWI: 4, R.Hooft: 1. Of course, I'd gladly trade a couple small p5x's for a p6x; so perhaps we're tied, or so. At last we have a top10 factor that's neither Cunningham nor on the Brent extension; Hooft's p50 has base 337, beyond the Cunningham limit of 12, and the Brent limit of 99. Bruce 

20070124, 16:31  #9  
Nov 2003
1110100100100_{2} Posts 
Quote:
any ECM results? From the Fibonacci/Lucas tables, Blair Kelly has found a 51 digit factor of L1853, a 51 digit factor of F1605, and a 52 digit factor of F1506..... Should these not be included???? 

20070124, 16:34  #10  
Nov 2003
2^{2}×5×373 Posts 
Quote:
Blair's web pages states that the results are from GMPECM..... 

20070124, 16:36  #11 
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
2^{4}·7·101 Posts 

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