20061101, 20:47  #23 
Feb 2005
29 Posts 
3,545 factored
According to http://www.loria.fr/%7Ezimmerma/records/c120355
Alex Kruppa has finished today factorisation from 3^5451, c154 with GNFS. Factors are (P68*P86) 99797555942653388706432640777540240541708135578117354589424604772651* 70549530892728294493276303172849776626644270595004198630179160774667442550143936689531 congratulations Have you got any plans to do yet more 3base numbers? For example 3,506+ or 3,539. Heikki 
20061101, 21:28  #24 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Oh cool, I didn't know I did!
I've done the sieving but found that I couldn't do the matrix easily on machines accessible to me, so I asked Paul Zimmermann for help. Looks like the matrix is finished now... and maybe I should check my email more often. Edit: about plans, I think the 3 numbers are too hard for me now, especially as it isn't clear how much cpu time I'll have available in the near future. Iirc, there are some 3+ numbers with difficulty <220 I could take on. Or I may work on other bases again, or leave the Cunningham tables for a while and do, for example, Aliquot sequences (where PaulZ and I have made good progress on the 276 sequence). If there's a project for factoring 3,499+ sometime where volunteer sievers can contribute, I'd much like to help out. Edit2: I just saw that the easiest remaining 3+ number is the 3,506+ you mentioned at difficulty ~220. I don't think I can take this on atm. Alex Last fiddled with by akruppa on 20061102 at 06:20 
20070509, 18:59  #25  
Jun 2005
lehigh.edu
2^{10} Posts 
close call
Quote:
difficulty 220.43, I even double checked to make sure that no one had it reserved. The factor p50 = 20179225620456881076565285297998895427104238023763 showed up just a few curves short of the 2nd t50. Just to be clear, 3, 539 c197 = p50*p147. An Opteron factor, B1 = 260M. Bruce PS  the Dec 22, 2006 update lists this as a 5th hole, as above; don't see any other 3 factors on page 104 or 105 (so far!). 

20070509, 19:43  #26 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Woohoo, another 3 number gone! Twelve to go...
Alex 
20071201, 11:05  #27 
"Nancy"
Aug 2002
Alexandria
4643_{8} Posts 
I've done another 10791 curves at B1=100M on 3,565 c160, bringing the total at B1=110M to 23053, 1.3 times the expected number to find a p55 factor. I think this one is ready for SNFS or GNFS now.
Alex Last fiddled with by akruppa on 20071201 at 11:07 
20071201, 14:52  #28  
Jun 2005
lehigh.edu
400_{16} Posts 
Quote:
difficulty 214 ... ah, degree 4? I was about to say snfs seemed easier, but not if it needs a quartic. Speaking of which, I was looking at phi.exe outputs (from the windows binary), for which the difficulty seems given correctly; but the default doesn't seem to give the polyn that corresponds to the difficulty. I was looking at one that ought to have a degree 6 polyn, but it looks like phi is defaulting to degree 5; while both the deg5 polyn and deg6 are given with the same difficulty. Sorry for the quibble. As long as we're on 3 here, I also have 3, 527 C160 at 4*t50; same gnfs size, but snfs a hefty 251.44. The other small one being 3, 553 C163; which I have at 3*t50 (since the difficulty 226 was below the more intensive run, which started at difficulty 230). Perhaps this one is an easier one for snfs, ready to run after another t50orso? Any of the larger ones also nearready to run? Bruce 

20071203, 09:28  #29 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
> As long as we're on 3 here, I also have 3, 527 C160 at 4*t50
I've done 7800 curves before (see #22) so this one should have 5*t50 and probably almost 1*t55, so it would be ready for sieving as well. Alex 
20071207, 15:52  #30 
"Nancy"
Aug 2002
Alexandria
9A3_{16} Posts 
I've done 10000 curves at B1=110M on 3,553 c163.
Alex 
20071214, 11:44  #31 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Did 10240 curves at B1=110M on 3,593 c214.
Alex 
20071214, 23:35  #32 
Jun 2005
lehigh.edu
2^{10} Posts 
Uhm, my 3*t50's were
(a) 155c165: 2500/9000 + 3000/7771 + 600/1538, 1.053% t50 then (b) added 3000/3155 on diff >= 220: min{1.053, 1.025}+ .9508 = 1.9758 * t50 then 5600/3133  I have c151c179 in continuous rotation for the remainder of 2007; that's an update to 3.75*t50  those /3133's are B1=110M's from small memory xps on the pc_grid. So your 10,000 curves is another 3*t50, a total of 6.75*t50; this one's wayover run. I'm trimming this out out of my que. Bruce 
20071215, 00:08  #33 
Jun 2005
lehigh.edu
2^{10} Posts 
An underrun range for me; seems not to be a nearterm sieving
candidate, at difficulty 282.93. I expect to finish a 2nd t50 (one of the last two large number input ranges for 2007), at 3. c195c233: 620/3155(=t45) + 1335/1538 (1.064% t50) then 2700/3133 of the 2nd, with another 500 qued. The rest of c190c233, diffculty under 250 has 4*t50, except for the last eight numbers from difficulty 240249.99 still running on Opterons; and c211c233 difficulty 250334, which is pausing at 2*t50. Aside from those two large number input ranges, the rest are running the 100 smallest Cuninghams (except ones ready for sieving), for the last 23 weeks of 2007 (one more p6x? this year? or start over again to try 10 p6xs in 2008, if we don't make it this year). Only other exceptions are the quadcores, getting an early start on a 2008 second run on C251C384, doing the largest 25 first. Bruce 
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