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 2013-10-20, 16:34 #1 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 24·3·7·19 Posts 2^947+1 status As an attempt to steer away from instant gratification, I'm doing 2^947+1 myself. I am 3% through; it will take about four months.
2013-10-21, 00:33   #2
R.D. Silverman

Nov 2003

22×5×373 Posts

Quote:
 Originally Posted by fivemack As an attempt to steer away from instant gratification, I'm doing 2^947+1 myself. I am 3% through; it will take about four months.
It is so nice to have resources!

2014-02-25, 22:46   #3
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

22·7·337 Posts

Quote:
 Originally Posted by fivemack I am 3% through; it will take about four months.
Could be any day now, then?

 2014-02-26, 06:40 #4 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 137778 Posts Are we there yet?
 2014-02-26, 10:19 #5 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 24×3×7×19 Posts 725 million relations collected so far. I've sieved 20-114, 140-173, 190-200. Probably another month and a half to go, depending entirely on whether the machines crash mysteriously the day after I go to Mexico. It turns out that I do not have the required temperament just to leave all my computers working on a problem and go and do something else for six months, so the estimates (30 hours per MQ on machine one, 72 hours per MQ on machine two, 60 hours per MQ on machine three) don't correspond well with the actual elapsed time.
 2014-04-12, 16:09 #6 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 24×3×7×19 Posts Linear algebra started Code: Sun Apr 6 23:30:56 2014 found 241393747 hash collisions in 907238334 relations Sun Apr 6 23:31:17 2014 added 1218600 free relations Sun Apr 6 23:31:17 2014 commencing duplicate removal, pass 2 Sun Apr 6 23:41:08 2014 found 214115403 duplicates and 694341531 unique relations Mon Apr 7 01:32:52 2014 begin with 694341531 relations and 605484726 unique ideals ... Mon Apr 7 06:58:22 2014 commencing in-memory singleton removal Mon Apr 7 06:58:28 2014 begin with 118530589 relations and 97145799 unique ideals Mon Apr 7 06:59:36 2014 reduce to 118083954 relations and 91048903 ideals in 9 passes Mon Apr 7 06:59:36 2014 max relations containing the same ideal: 17 Mon Apr 7 07:00:31 2014 relations with 0 large ideals: 4682145 Mon Apr 7 07:00:31 2014 relations with 1 large ideals: 21135870 Mon Apr 7 07:00:31 2014 relations with 2 large ideals: 42173655 Mon Apr 7 07:00:31 2014 relations with 3 large ideals: 35687344 Mon Apr 7 07:00:31 2014 relations with 4 large ideals: 12631170 Mon Apr 7 07:00:31 2014 relations with 5 large ideals: 1591912 Mon Apr 7 07:00:31 2014 relations with 6 large ideals: 86220 Mon Apr 7 07:00:31 2014 relations with 7+ large ideals: 95638 Mon Apr 7 07:00:31 2014 commencing 2-way merge Mon Apr 7 07:01:34 2014 reduce to 69068937 relation sets and 42033886 unique ideals Mon Apr 7 07:01:34 2014 commencing full merge Mon Apr 7 07:10:06 2014 memory use: 3570.7 MB Mon Apr 7 07:10:12 2014 found 31495168 cycles, need 28242086 Mon Apr 7 07:10:20 2014 weight of 28242086 cycles is about 3163276282 (112.01/cycle) Mon Apr 7 07:10:20 2014 distribution of cycle lengths: Mon Apr 7 07:10:20 2014 1 relations: 4746924 Mon Apr 7 07:10:20 2014 2 relations: 1955327 Mon Apr 7 07:10:20 2014 3 relations: 1756761 Mon Apr 7 07:10:20 2014 4 relations: 1682800 Mon Apr 7 07:10:20 2014 5 relations: 1695689 Mon Apr 7 07:10:20 2014 6 relations: 1670962 Mon Apr 7 07:10:20 2014 7 relations: 1663574 Mon Apr 7 07:10:20 2014 8 relations: 1637271 Mon Apr 7 07:10:20 2014 9 relations: 1582850 Mon Apr 7 07:10:20 2014 10+ relations: 9849928 Mon Apr 7 07:10:20 2014 heaviest cycle: 21 relations Mon Apr 7 07:10:22 2014 commencing cycle optimization Mon Apr 7 07:11:31 2014 start with 209594857 relations Mon Apr 7 07:18:56 2014 pruned 9926842 relations Mon Apr 7 07:18:56 2014 memory use: 6192.3 MB Mon Apr 7 07:18:56 2014 distribution of cycle lengths: Mon Apr 7 07:18:56 2014 1 relations: 4746924 Mon Apr 7 07:18:56 2014 2 relations: 2017354 Mon Apr 7 07:18:56 2014 3 relations: 1841433 Mon Apr 7 07:18:56 2014 4 relations: 1772997 Mon Apr 7 07:18:56 2014 5 relations: 1804867 Mon Apr 7 07:18:56 2014 6 relations: 1785619 Mon Apr 7 07:18:56 2014 7 relations: 1788893 Mon Apr 7 07:18:56 2014 8 relations: 1754704 Mon Apr 7 07:18:56 2014 9 relations: 1696359 Mon Apr 7 07:18:56 2014 10+ relations: 9032936 Mon Apr 7 07:18:56 2014 heaviest cycle: 21 relations Mon Apr 7 07:19:22 2014 RelProcTime: 35197 Mon Apr 7 07:19:22 2014 elapsed time 09:46:38 ... Sat Apr 12 14:16:17 2014 commencing linear algebra Sat Apr 12 14:16:21 2014 read 28242086 cycles Sat Apr 12 14:17:17 2014 cycles contain 100827430 unique relations Sat Apr 12 14:27:20 2014 read 100827430 relations Sat Apr 12 14:30:41 2014 using 20 quadratic characters above 4294917296 Sat Apr 12 14:38:06 2014 building initial matrix Sat Apr 12 14:55:00 2014 memory use: 13022.3 MB Sat Apr 12 14:55:13 2014 read 28242086 cycles Sat Apr 12 14:55:16 2014 matrix is 28240603 x 28242086 (12265.0 MB) with weight 3500853676 (123.96/col) Sat Apr 12 14:55:16 2014 sparse part has weight 2904542345 (102.84/col) Sat Apr 12 15:06:26 2014 filtering completed in 3 passes Sat Apr 12 15:06:31 2014 matrix is 28194648 x 28194848 (12254.5 MB) with weight 3497602261 (124.05/col) Sat Apr 12 15:06:31 2014 sparse part has weight 2902289708 (102.94/col) Sat Apr 12 15:08:17 2014 matrix starts at (0, 0) Sat Apr 12 15:08:21 2014 matrix is 28194648 x 28194848 (12254.5 MB) with weight 3497602261 (124.05/col) Sat Apr 12 15:08:21 2014 sparse part has weight 2902289708 (102.94/col) Sat Apr 12 15:08:21 2014 saving the first 48 matrix rows for later Sat Apr 12 15:08:25 2014 matrix includes 64 packed rows Sat Apr 12 15:08:28 2014 matrix is 28194600 x 28194848 (11776.5 MB) with weight 2983072463 (105.80/col) Sat Apr 12 15:08:28 2014 sparse part has weight 2805193976 (99.49/col) Sat Apr 12 15:08:29 2014 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sat Apr 12 15:11:05 2014 commencing Lanczos iteration (6 threads) Sat Apr 12 15:11:05 2014 memory use: 10232.0 MB Sat Apr 12 15:12:50 2014 linear algebra at 0.0%, ETA 515h34m Sat Apr 12 15:13:23 2014 checkpointing every 60000 dimensions ETA 4th May (the gap from 7/4 to 12/4 was to run gpu-msieve and cuda-ecm on some aliquot-sequence numbers, and also factor a C148) Last fiddled with by fivemack on 2014-04-12 at 16:37
 2014-05-03, 22:42 #7 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 24·3·7·19 Posts Linear algebra done Code: Sat Apr 12 15:08:28 2014 matrix is 28194600 x 28194848 (11776.5 MB) with weight 2983072463 (105.80/col) Sat Apr 12 15:08:28 2014 sparse part has weight 2805193976 (99.49/col) Sat Apr 12 15:08:29 2014 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sat Apr 12 15:11:05 2014 commencing Lanczos iteration (6 threads) Sat Apr 12 15:11:05 2014 memory use: 10232.0 MB Sat Apr 12 15:12:50 2014 linear algebra at 0.0%, ETA 515h34m Sat Apr 12 15:13:23 2014 checkpointing every 60000 dimensions Sat May 3 21:18:59 2014 lanczos halted after 445870 iterations (dim = 28194599) Sat May 3 21:19:24 2014 recovered 39 nontrivial dependencies Sat May 3 21:19:25 2014 BLanczosTime: 1839788 Sat May 3 21:19:25 2014 elapsed time 511:03:09 Sat May 3 21:21:25 2014 Sat May 3 21:21:25 2014 Sat May 3 21:21:25 2014 Msieve v. 1.52 (SVN 952) Sat May 3 21:21:25 2014 random seeds: ece05c6c 791a6b70 Sat May 3 21:21:25 2014 factoring 10043208114491264804179083298391231973312377937445803901159034772482570674044331352202149635565259461053937738648225843572812880677442189386001220582374066889927639514347376185241129744973725819976341678434342729 (212 digits) Sat May 3 21:21:26 2014 no P-1/P+1/ECM available, skipping Sat May 3 21:21:26 2014 commencing number field sieve (212-digit input) Sat May 3 21:21:26 2014 R0: 365375409332725729550921208179070754913983135744 Sat May 3 21:21:26 2014 R1: -1 Sat May 3 21:21:26 2014 A0: 2 Sat May 3 21:21:26 2014 A1: 0 Sat May 3 21:21:26 2014 A2: 0 Sat May 3 21:21:26 2014 A3: 0 Sat May 3 21:21:26 2014 A4: 0 Sat May 3 21:21:26 2014 A5: 0 Sat May 3 21:21:26 2014 A6: 1 Sat May 3 21:21:26 2014 skew 1.00, size 5.487e-14, alpha 1.888, combined = 1.246e-14 rroots = 0 Sat May 3 21:21:26 2014 Sat May 3 21:21:26 2014 commencing square root phase Sat May 3 21:21:26 2014 reading relations for dependency 1 Sat May 3 21:21:29 2014 read 14096426 cycles Sat May 3 21:22:03 2014 cycles contain 50392692 unique relations Sat May 3 21:30:33 2014 read 50392692 relations Sat May 3 21:36:28 2014 multiplying 50392692 relations Sat May 3 22:35:29 2014 multiply complete, coefficients have about 1371.80 million bits Sat May 3 22:35:34 2014 initial square root is modulo 1424149 Sat May 3 23:35:00 2014 sqrtTime: 8014 Sat May 3 23:35:01 2014 prp65 factor: 22975205222554546114010145307351411496025395212488281695009106987 Sat May 3 23:35:01 2014 prp147 factor: 437132465943413660702686151864039550227452294488019446708578944533056499456088034550429379770729594712071066859290963976253884943867357239818955867 Sat May 3 23:35:01 2014 elapsed time 02:13:36 I have also informed Sam Wagstaff of this
 2014-05-04, 00:17 #8 jasonp Tribal Bullet     Oct 2004 2·29·61 Posts Kudos on a huge solo job!
 2014-05-04, 00:35 #9 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22·7·337 Posts Congrats, Tom! You are a seasoned marathoner!
 2014-05-04, 00:46 #10 bsquared     "Ben" Feb 2007 2·32·191 Posts Nice work Tom, congrats!
 2014-05-04, 01:13 #11 pinhodecarlos     "Carlos Pinho" Oct 2011 Milton Keynes, UK 22×5×13×19 Posts I take my hat off.

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