Reserved for MF - Sequence 276

[swellman]

Originally Posted by RichD

Should we send the remaining ECM work to yoyo?

Yes we can, what level of ECM should be run? It appears it survived a partial t55, and 1280 curves @B1=850M.

Suggest starting with a full t60, then 70,000+ curves @B1=850M. I can submit it to Yoyo’s queue.

[VBCurtis]

Did any ECM get sent to yoyo?

This could be a stretch (in a good way) on the 15e queue, same size as the currently sieving number in the queue, or we could do a short team-CADO sieve on it. Should be 20-25 thread-years of sieving on CADO.

Let's get the ECM finished while we decide?

[swellman]

Yes, someone queued AS 276 for 10,000 curves @B1=260e6. It should start processing in 1-2 weeks. It will take some months to run ECM to the t65 level, but your suggestion about sieving could be fun. We can collectively decide as ECM draws to a close.

[VBCurtis]

0.31*size is a bit under 62 digits of ECM. How about a traditional T60, and a T60 worth of B1=850M curves? CADO is growing faster each year, which would lead one to spend a bit less effort on ECM than historical norms might suggest.

[swellman]

Originally Posted by VBCurtis

0.31*size is a bit under 62 digits of ECM. How about a traditional T60, and a T60 worth of B1=850M curves? CADO is growing faster each year, which would lead one to spend a bit less effort on ECM than historical norms might suggest.

Using the ‘standard values’ for ECM, we need another 32,000 curves @B1=260e6. Under Yoyo’s rules, B1 of 260e6 can run in batches of up 20,000 curves, so two more staggered/sequential runs of 16,000 curves each will get us to t60.

If we get to 1t60 as above, how many curves are then required @B1=850e6 to reach another t60? 24,000?

[VBCurtis]

ecm -v (on v. 7.0.1) says 16400 curves at 850M is a T60.
So, how about 16,000?

[swellman]

Ok, 16,000 curves @B1=850e6 if necessary.

[ryanp]

Originally Posted by swellman

Ok, 16,000 curves @B1=850e6 if necessary.

You might want to hold off with (or abandon) the ECM; I've managed to get the c198 blocker to linear algebra.

Wed Jan 15 22:51:48 2020  Msieve v. 1.54 (SVN 1030)
Wed Jan 15 22:51:48 2020  random seeds: 27aec203 865c9abc
Wed Jan 15 22:51:48 2020  factoring 109195383606515252522077584776725678485768555473338238318013409941976401005701474546743848214849118371708638289789231857351747048294519276913447407027207291338369516000831707430680403843374881650571 (198 digits)
Wed Jan 15 22:51:49 2020  no P-1/P+1/ECM available, skipping
Wed Jan 15 22:51:49 2020  commencing number field sieve (198-digit input)
Wed Jan 15 22:51:49 2020  R0: -123904338970318129534873840456409748287
Wed Jan 15 22:51:49 2020  R1: 14040536491044125964319
Wed Jan 15 22:51:49 2020  A0: -182824484678477482408066091569402617577376336640
Wed Jan 15 22:51:49 2020  A1: 3367805189874746207509867943649508438464
Wed Jan 15 22:51:49 2020  A2: 68863586703820612449900083847336
Wed Jan 15 22:51:49 2020  A3: -92455948574592789320310
Wed Jan 15 22:51:49 2020  A4: -1767391449203617
Wed Jan 15 22:51:49 2020  A5: 3739140
Wed Jan 15 22:51:49 2020  skew 1.00, size 2.340e-19, alpha -6.680, combined = 1.328e-17 rroots = 5
...
Thu Jan 16 04:38:33 2020  building initial matrix
Thu Jan 16 05:20:13 2020  memory use: 24263.8 MB
Thu Jan 16 05:20:47 2020  read 54468541 cycles
Thu Jan 16 05:20:56 2020  matrix is 54468360 x 54468541 (20497.0 MB) with weight 6298230995 (115.63/col)
Thu Jan 16 05:20:56 2020  sparse part has weight 4719548814 (86.65/col)
Thu Jan 16 05:37:53 2020  filtering completed in 2 passes
Thu Jan 16 05:38:07 2020  matrix is 54445246 x 54445426 (20495.3 MB) with weight 6297366951 (115.66/col)
Thu Jan 16 05:38:07 2020  sparse part has weight 4719374597 (86.68/col)
Thu Jan 16 05:41:58 2020  matrix starts at (0, 0)
Thu Jan 16 05:42:07 2020  matrix is 54445246 x 54445426 (20495.3 MB) with weight 6297366951 (115.66/col)
Thu Jan 16 05:42:07 2020  sparse part has weight 4719374597 (86.68/col)
Thu Jan 16 05:42:07 2020  saving the first 48 matrix rows for later
Thu Jan 16 05:42:16 2020  matrix includes 64 packed rows
Thu Jan 16 05:42:23 2020  matrix is 54445198 x 54445426 (19872.6 MB) with weight 5204290166 (95.59/col)
Thu Jan 16 05:42:23 2020  sparse part has weight 4665039836 (85.68/col)
Thu Jan 16 05:42:23 2020  using block size 8192 and superblock size 3784704 for processor cache size 39424 kB
Thu Jan 16 05:46:29 2020  commencing Lanczos iteration (32 threads)
Thu Jan 16 05:46:29 2020  memory use: 19885.5 MB
Thu Jan 16 05:48:10 2020  linear algebra at 0.0%, ETA 949h34m
Thu Jan 16 05:48:36 2020  checkpointing every 70000 dimensions

[swellman]

I’ve asked Yoyo to kill this queued ECM job. Happy factoring!

Eta: Yoyo has removed this composite from the queue.

[ryanp]

Originally Posted by swellman

I’ve asked Yoyo to kill this queued ECM job. Happy factoring!

Eta: Yoyo has removed this composite from the queue.

Done:

Fri Jan 31 18:07:21 2020  lanczos halted after 175358 iterations (dim = 44757197)
Fri Jan 31 18:12:18 2020  recovered 27 nontrivial dependencies
Fri Jan 31 18:12:35 2020  BLanczosTime: 1188950
Fri Jan 31 18:12:35 2020  elapsed time 330:15:51
Fri Jan 31 18:13:16 2020  
Fri Jan 31 18:13:16 2020  
Fri Jan 31 18:13:16 2020  Msieve v. 1.54 (SVN 1030M)
Fri Jan 31 18:13:16 2020  random seeds: c8f004e8 05b3e9f0
Fri Jan 31 18:13:16 2020  factoring 109195383606515252522077584776725678485768555473338238318013409941976401005701474546743848214849118371708638289789231857351747048294519276913447407027207291338369516000831707430680403843374881650571 (198 digits)
Fri Jan 31 18:13:16 2020  no P-1/P+1/ECM available, skipping
Fri Jan 31 18:13:16 2020  commencing number field sieve (198-digit input)
Fri Jan 31 18:13:16 2020  R0: -123904338970318129534873840456409748287
Fri Jan 31 18:13:16 2020  R1: 14040536491044125964319
Fri Jan 31 18:13:16 2020  A0: -182824484678477482408066091569402617577376336640
Fri Jan 31 18:13:16 2020  A1: 3367805189874746207509867943649508438464
Fri Jan 31 18:13:16 2020  A2: 68863586703820612449900083847336
Fri Jan 31 18:13:16 2020  A3: -92455948574592789320310
Fri Jan 31 18:13:16 2020  A4: -1767391449203617
Fri Jan 31 18:13:16 2020  A5: 3739140
Fri Jan 31 18:13:16 2020  skew 1.00, size 2.340e-19, alpha -6.680, combined = 1.328e-17 rroots = 5
Fri Jan 31 18:13:16 2020  
Fri Jan 31 18:13:16 2020  commencing square root phase
Fri Jan 31 18:13:16 2020  reading relations for dependency 1
Fri Jan 31 18:13:23 2020  read 22380572 cycles
Fri Jan 31 18:14:35 2020  cycles contain 75554662 unique relations
Fri Jan 31 18:31:17 2020  read 75554662 relations
Fri Jan 31 18:42:42 2020  multiplying 75554662 relations
Fri Jan 31 21:00:46 2020  multiply complete, coefficients have about 4765.96 million bits
Fri Jan 31 21:01:28 2020  initial square root is modulo 221173
Fri Jan 31 23:31:24 2020  GCD is 1, no factor found
Fri Jan 31 23:31:24 2020  reading relations for dependency 2
Fri Jan 31 23:31:31 2020  read 22374954 cycles
Fri Jan 31 23:32:50 2020  cycles contain 75539154 unique relations
Fri Jan 31 23:49:57 2020  read 75539154 relations
Sat Feb  1 00:00:54 2020  multiplying 75539154 relations
Sat Feb  1 02:18:57 2020  multiply complete, coefficients have about 4764.98 million bits
Sat Feb  1 02:19:39 2020  initial square root is modulo 220663
Sat Feb  1 04:49:54 2020  GCD is 1, no factor found
Sat Feb  1 04:49:54 2020  reading relations for dependency 3
Sat Feb  1 04:50:01 2020  read 22382375 cycles
Sat Feb  1 04:51:18 2020  cycles contain 75559558 unique relations
Sat Feb  1 05:08:22 2020  read 75559558 relations
Sat Feb  1 05:19:25 2020  multiplying 75559558 relations
Sat Feb  1 07:36:51 2020  multiply complete, coefficients have about 4766.28 million bits
Sat Feb  1 07:37:34 2020  initial square root is modulo 221399
Sat Feb  1 10:07:23 2020  sqrtTime: 57247
Sat Feb  1 10:07:23 2020  p84 factor: 115811652415074430329935229497883718139386333570140430192433462563325778921416841179
Sat Feb  1 10:07:23 2020  p114 factor: 942870439454173764749515216519692345075485692628131194583415532480950775535570172320719279093090977132152432543249
Sat Feb  1 10:07:23 2020  elapsed time 15:54:07

[swellman]

Is anyone currently working this series?