20090216, 12:43  #1 
Nov 2003
2^{2}·5·373 Posts 
Current Effort
7,277+ has (barely) finished sieving. I will do some
oversieving to make the matrix more manageable. Please reserve 6,335 for me. I will do it next. My surgery is on Mar 2. I will switch projects toward the end of next week... Meanwhile, there is quite a gap between the first two holes in the 2 table. It would be nice if someone did M827. I don't have the resources. My upper limit is about 780 bits. It would also be nice if people were to work on the 2LM table. It is, as always, relatively neglected. Bob 
20090216, 14:12  #2 
(loop (#_fork))
Feb 2006
Cambridge, England
2·11·17^{2} Posts 
2,1606M would take about 40M CPUseconds, which isn't really worth the setup effort on a cluster or the admin effort for a distributed attack, while being a bit much for a single computer; it would fit my resources quite nicely, but what's not committed to linalg jobs will be doing a largish personal GNFS for the next couple of months.
2827 would be a nice one for mersenneforum, but mersenneforum's factorisers are booked up until May; if nobody else has done it by then it might be an opportunity for calm relaxation after the big GNFS. 
20090216, 15:03  #3  
Nov 2003
2^{2}×5×373 Posts 
Quote:
and ~15 machines halftime, several of which are coreduos. Most of the latter have only 1G of DRAM. The DRAM limit also limits my factor base size. 7,277+ is about 780 bits and took me 3 months to sieve. 

20090216, 16:29  #4 
Jun 2008
2^{3}×3^{2} Posts 
What would it take to do M827? I don't know anything about polynomial selection and such (and I'd like to keep it that way), so would anyone like to team up or something?

20090216, 17:02  #5 
(loop (#_fork))
Feb 2006
Cambridge, England
2·11·17^{2} Posts 
M827 would require about 20000 CPUhours for the sieving followed by a couple of weeks on a quadcore with 8G memory for the linear algebra; if you don't have such a box, I'll happily run the linear algebra if you do the sieving.
If you're interested, PM me, and I'll run a parameterselection job and send you a .poly file. 
20090216, 17:16  #6 
Jun 2008
2^{3}·3^{2} Posts 
I should have figured... 20000hrs is quite a bit out of my league. Thanks for the estimate and offer.

20090217, 08:01  #7 
Nov 2008
2·3^{3}·43 Posts 
What would the poly be, anyway? Hmmm...
Code:
c5: 4 c0: 1 Y1: 1 Y0: 46768052394588893382517914646921056628989841375232 Code:
c6: 1 c0: 2 Y1: 1 Y0: 348449143727040986586495598010130648530944 
20090217, 10:13  #8 
(loop (#_fork))
Feb 2006
Cambridge, England
2×11×17^{2} Posts 
A 10MQ bothsides chunk for 10^2631 was about 4000 CPUhours, so M827 is not amazingly much larger than things you've done already, but it depends how much access you have to the cluster.

20090217, 12:04  #9 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
2351_{8} Posts 
I have 90% completed sieving for 6,343
and just started up so with 6,343+ I see that nobody is ready to take up with 11^{229}1? It has been standing in the Wanted Lists for already more than over 3 years. Code:
Sat Jan 31 01:58:21 2009 Sat Jan 31 01:58:21 2009 Sat Jan 31 01:58:21 2009 Msieve v. 1.38 Sat Jan 31 01:58:21 2009 random seeds: 2dd3dbd0 b0e64db8 Sat Jan 31 01:58:21 2009 factoring 4353084279465471236993675231471658322855285085288018587696753593002074624697573400982036418055827897146317140063377813885557624999850231373576930085296121779853543537188567707144180933943323891018955967519960133495049773807349 (226 digits) Sat Jan 31 01:58:24 2009 searching for 15digit factors Sat Jan 31 01:58:28 2009 commencing number field sieve (226digit input) Sat Jan 31 01:58:28 2009 R0: 134713546244127343440523266742756048896 Sat Jan 31 01:58:28 2009 R1: 1 Sat Jan 31 01:58:28 2009 A0: 1 Sat Jan 31 01:58:28 2009 A1: 1 Sat Jan 31 01:58:28 2009 A2: 1 Sat Jan 31 01:58:28 2009 A3: 1 Sat Jan 31 01:58:28 2009 A4: 1 Sat Jan 31 01:58:28 2009 A5: 1 Sat Jan 31 01:58:28 2009 A6: 1 Sat Jan 31 01:58:28 2009 size score = 5.844430e011, Murphy alpha = 2.427706, combined = 2.920803e011 Sat Jan 31 01:58:28 2009 Sat Jan 31 01:58:28 2009 commencing relation filtering Sat Jan 31 01:58:28 2009 commencing duplicate removal, pass 1 Sat Jan 31 02:14:47 2009 found 20341574 hash collisions in 64353153 relations Sat Jan 31 02:15:17 2009 added 2438460 free relations Sat Jan 31 02:15:17 2009 commencing duplicate removal, pass 2 Sat Jan 31 02:21:33 2009 found 26772164 duplicates and 40019449 unique relations Sat Jan 31 02:21:33 2009 memory use: 270.4 MB Sat Jan 31 02:21:33 2009 reading rational ideals above 39911424 Sat Jan 31 02:21:33 2009 reading algebraic ideals above 39911424 Sat Jan 31 02:21:33 2009 commencing singleton removal, pass 1 Sat Jan 31 02:32:28 2009 relations with 0 large ideals: 1258720 Sat Jan 31 02:32:28 2009 relations with 1 large ideals: 4986397 Sat Jan 31 02:32:28 2009 relations with 2 large ideals: 12037173 Sat Jan 31 02:32:28 2009 relations with 3 large ideals: 13662114 Sat Jan 31 02:32:28 2009 relations with 4 large ideals: 6026679 Sat Jan 31 02:32:28 2009 relations with 5 large ideals: 14566 Sat Jan 31 02:32:28 2009 relations with 6 large ideals: 9 Sat Jan 31 02:32:28 2009 relations with 7+ large ideals: 2033791 Sat Jan 31 02:32:28 2009 40019449 relations and about 34943193 large ideals Sat Jan 31 02:32:28 2009 commencing singleton removal, pass 2 Sat Jan 31 02:42:02 2009 found 10094204 singletons Sat Jan 31 02:42:02 2009 current dataset: 29925245 relations and about 23231312 large ideals Sat Jan 31 02:42:02 2009 commencing singleton removal, pass 3 Sat Jan 31 02:50:46 2009 found 3491255 singletons Sat Jan 31 02:50:46 2009 current dataset: 26433990 relations and about 19572969 large ideals Sat Jan 31 02:50:46 2009 commencing singleton removal, pass 4 Sat Jan 31 02:58:54 2009 found 1032240 singletons Sat Jan 31 02:58:54 2009 current dataset: 25401750 relations and about 18524222 large ideals Sat Jan 31 02:58:54 2009 commencing singleton removal, pass 5 Sat Jan 31 03:07:23 2009 found 308750 singletons Sat Jan 31 03:07:23 2009 current dataset: 25093000 relations and about 18213966 large ideals Sat Jan 31 03:07:23 2009 commencing singleton removal, final pass Sat Jan 31 03:17:32 2009 memory use: 476.8 MB Sat Jan 31 03:17:33 2009 commencing inmemory singleton removal Sat Jan 31 03:17:35 2009 begin with 25093000 relations and 22180790 unique ideals Sat Jan 31 03:18:22 2009 reduce to 16003514 relations and 12549620 ideals in 26 passes Sat Jan 31 03:18:22 2009 max relations containing the same ideal: 18 Sat Jan 31 03:18:26 2009 reading rational ideals above 720000 Sat Jan 31 03:18:26 2009 reading algebraic ideals above 720000 Sat Jan 31 03:18:26 2009 commencing singleton removal, final pass Sat Jan 31 03:26:43 2009 keeping 16271467 ideals with weight <= 20, new excess is 1134373 Sat Jan 31 03:27:09 2009 memory use: 498.2 MB Sat Jan 31 03:27:09 2009 commencing inmemory singleton removal Sat Jan 31 03:27:12 2009 begin with 16003609 relations and 16271467 unique ideals Sat Jan 31 03:27:52 2009 reduce to 15972366 relations and 16239731 ideals in 15 passes Sat Jan 31 03:27:52 2009 max relations containing the same ideal: 20 Sat Jan 31 03:27:54 2009 filtering wants 1000000 more relations Sat Jan 31 03:27:54 2009 elapsed time 01:29:33 
20090227, 13:07  #10  
Nov 2003
2^{2}×5×373 Posts 
Quote:
I am filtering the data for 2,277+ now. Paul: I will send the data to you after I have done several filtering passes. The matrix will be too big for me. I have started sieving 6,335. I hope to do 2,865+ after that. 

20090227, 18:26  #11 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
10011101001_{2} Posts 
I will rather, better start up with the Linear Algebra (post processing) for 6,343, on this Sunday, when my Laptop becomes available as it is up so, thus, hence.
Post processing stages of steps, within the sequence are including Filtering, Linear Algebra, and then the Square Root to yield the ultimate factor, at once, after all, of course, for ever, every factoring attempt or try, indeed, really. Resuming up for the 6,343+ case, since, within my Desktop computer... starting up yet, still, as usual. Code:
found 25164005 hash collisions in 80687050 relations added 1 free relations commencing duplicate removal, pass 2 found 32276277 duplicates and 48410774 unique relations memory use: 504.8 MB reading rational ideals above 49872896 reading algebraic ideals above 49872896 commencing singleton removal, pass 1 relations with 0 large ideals: 1874920 relations with 1 large ideals: 7069231 relations with 2 large ideals: 14885574 relations with 3 large ideals: 15102575 relations with 4 large ideals: 6686766 relations with 5 large ideals: 801487 relations with 6 large ideals: 49276 relations with 7+ large ideals: 1940945 48410774 relations and about 36043797 large ideals commencing singleton removal, pass 2 found 9154899 singletons current dataset: 39255875 relations and about 25950160 large ideals commencing singleton removal, pass 3 found 2273290 singletons current dataset: 36982585 relations and about 23624999 large ideals commencing singleton removal, pass 4 found 455260 singletons current dataset: 36527325 relations and about 23167444 large ideals commencing singleton removal, final pass memory use: 620.1 MB commencing inmemory singleton removal begin with 36527325 relations and 28174352 unique ideals reduce to 29890382 relations and 21264048 ideals in 15 passes max relations containing the same ideal: 28 reading rational ideals above 720000 reading algebraic ideals above 720000 commencing singleton removal, final pass keeping 25130109 ideals with weight <= 20, new excess is 2120356 memory use: 950.8 MB commencing inmemory singleton removal begin with 29890382 relations and 25130109 unique ideals reduce to 29877824 relations and 25117550 ideals in 9 passes max relations containing the same ideal: 20 removing 2947073 relations and 2547073 ideals in 400000 cliques commencing inmemory singleton removal begin with 26930751 relations and 25117550 unique ideals reduce to 26676726 relations and 22311691 ideals in 11 passes max relations containing the same ideal: 20 removing 2179210 relations and 1779210 ideals in 400000 cliques commencing inmemory singleton removal begin with 24497516 relations and 22311691 unique ideals reduce to 24351101 relations and 20383765 ideals in 9 passes max relations containing the same ideal: 20 removing 1939410 relations and 1539410 ideals in 400000 cliques commencing inmemory singleton removal begin with 22411691 relations and 20383765 unique ideals reduce to 22288165 relations and 18718834 ideals in 7 passes max relations containing the same ideal: 20 removing 1810876 relations and 1410877 ideals in 400000 cliques commencing inmemory singleton removal begin with 20477289 relations and 18718834 unique ideals reduce to 20361103 relations and 17189870 ideals in 8 passes max relations containing the same ideal: 20 removing 1734572 relations and 1334572 ideals in 400000 cliques commencing inmemory singleton removal begin with 18626531 relations and 17189870 unique ideals reduce to 18512575 relations and 15739400 ideals in 9 passes max relations containing the same ideal: 20 removing 1372117 relations and 1058555 ideals in 313562 cliques commencing inmemory singleton removal begin with 17140458 relations and 15739400 unique ideals reduce to 17061016 relations and 14600167 ideals in 8 passes max relations containing the same ideal: 20 relations with 0 large ideals: 227581 relations with 1 large ideals: 834673 relations with 2 large ideals: 2668971 relations with 3 large ideals: 4655425 relations with 4 large ideals: 4664752 relations with 5 large ideals: 2658624 relations with 6 large ideals: 810498 relations with 7+ large ideals: 540492 commencing 2way merge failed to reallocate 245760000 bytes 
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