ECM Efforts

[trilliwig]

Another 670 curves on 2,969+C164 with GMP-ECM, B1=11e6, B2=default. Um, I think I'll switch numbers now.

[akruppa]

Originally Posted by flava

Done another 1000 curves (45 digit) for 2,951+, no factor
It makes a total of 2000 curves. I hope it helps.

flava, which B2 value did you use?

Alex

[R.D. Silverman]

Originally Posted by trilliwig

Another 670 curves on 2,969+C164 with GMP-ECM, B1=11e6, B2=default. Um, I think I'll switch numbers now.

2,969+ has been completed to the 45 digit level. I will inform George.
Bruce Dodson just finished of 2,1193+.

I have finished sieving 2,737+ and will start 2,749+ later today.

[xilman]

Originally Posted by R.D. Silverman

2,969+ has been completed to the 45 digit level. I will inform George.
Bruce Dodson just finished of 2,1193+.

I have finished sieving 2,737+ and will start 2,749+ later today.

NFSNET should switch to 2,751+ today or so. Wacky is in charge of the timing of the changeover but current stats suggest to me that we are about finished 11,212+


I've been doing 6,786L.c135 by GNFS on my home box. Sieving finished 2 days ago and the matrix started a few hours ago. It should take about 52 hours to run on my 1.3GHz Athlon. The matrix is 1.3M square and has 48 set bits per row.


Paul

[flava]

Originally Posted by akruppa

flava, which B2 value did you use?

Alex

[Tue Apr 19 04:27:00 2005]
2^951+1 completed 1000 ECM curves, B1=11000000, B2=1100000000
[Mon Apr 25 09:54:13 2005]
2^951+1 completed 1000 ECM curves, B1=11000000, B2=1100000000

[Mystwalker]

Keller and I are currently doing curves for P951 - I expect to be complete with 45 digits within a week or two.

So far, I did ~6% of the total curves needed. Around 4,000 Prime95 resp. 2,000 gmp-ecm curves are left...

[bdodson]

Originally Posted by R.D. Silverman

Hello to All;

I am thankful for the help people have given in applying ECM efforts to
the 2+ table.
....

Before I go further, I ask that some additional ECM effort be expended in
particular on the following numbers: (to at least the 45 digit level)

2,791+, 2,951+, 2,969+, 2,993+, 2,1322M, 2,1334L, 2,1342L.

I'm replying to an email from Bob about running the
first four of the above. I was able to report having already
completed a t45 on all four. After some further discussion,
I offered the view that P791 was already tested sufficiently
to be sieved, but the other three could do with some further
testing. The reason being that my t45 test mostly consisted
of c. 600 ecm6 curves with B1=110M on these, while the
2,7xx+ had 2500 ecm5 curves with B1=43M (which seemed
less likely to miss smallish prime factors).
After setting a curve count in B1=110M curves, I ended
up running B1=260M curves instead, and found the p47 on the
160th curve. Anyone know how much of a t45 has been run/
reported here on the other two, P969 and P993?
And a belated Greetings! to the forum.
B. Dodson (p57 from M997 c301 using prime95;
p59 and p66 with gmp-ecm6, not to mention
the p62 that wasn't a record!)
-----------------------

p47 = 40740225338758415715380694619267076907012248419
GMP-ECM 6.0 [powered by GMP 4.1.90] [ECM]

Using B1=260000000, B2=2317234062121, polynomial Dickson(30), sigma=2953010074
Step 1 took 2347474ms
Step 2 took 806954ms

1804.125 Opteron x10cpu, with Torbjorn's x86_64 gmp development
code using AMD 64-bit assembler

[rogue]

Originally Posted by bdodson

Anyone know how much of a t45 has been run/
reported here on the other two, P969 and P993?

Hi Bruce. I believe that what you are looking for can be found here:

http://www.mersenne.org/ecmp.htm

[dsouza123]

2^993+1 with Prime95 __2 ECM curves, B1=11000000, B2=1100000000

2^993+1 with Prime95 250 ECM curves, B1=44000000, B2=4290000000

[bdodson]

Originally Posted by rogue

Hi Bruce. I believe that what you are looking for can be found here:

http://www.mersenne.org/ecmp.htm

Ah, you'd think that I would have looked there first; just there
didn't seem to be any recent activity on this thread. But now that
I have the current counts, the three remaining Pn's on Bob's list
have already been over-run. Montgomery reports that these
have snfs difficulty 194; 199 and 204 (with the one that factored
at 190; figures that the hard ones would be left), which is likely
the reason Bob's chosen them. The effort spent on ecm pretesting
is way past the optimal percentage of the sieving time, so perhaps
Bob agrees that he's willing to risk sieving without further ecm, freeing
up the curves for something more likely to have a factor in ecm range?

If so, do we know where testing on the other three,

> 2,1322M, 2,1334L, 2,1342L

stands? Incidently, an update on this morning's post, Sean Irving
has added the new c135 to his gnfs queue, so we may reliably expect
factors in the near future.
Bruce

[rogue]

Originally Posted by bdodson

If so, do we know where testing on the other three,

> 2,1322M, 2,1334L, 2,1342L

stands?

Both have enough curves at B1=11e6. 1334L has 40 curves at B1=43e6 and 630 at 11e7.

2,1342L had this factor submitted recently 312689963186011191785543941405234534125118895633. I believe that the cofactor 312119007097134742328978209700769058421902458121821582805367454109670158835039663246756558186935608062761438029523087241093 is prime.