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-   Aliquot Sequences (https://www.mersenneforum.org/forumdisplay.php?f=90)
-   -   Reserved for MF - Sequence 4788 (https://www.mersenneforum.org/showthread.php?t=11615)

ryanp 2016-08-09 03:11

[QUOTE=LaurV;439641]Well, you only need to get it about ~25 digits down...
Then we can handle it :razz:
[COLOR=White](Good job, btw!)[/COLOR][/QUOTE]

No, I'll take it from here. :)

ryanp 2016-08-09 22:56

The c196 isn't going down without a fight...

[CODE]Tue Aug 9 07:14:45 2016 commencing square root phase
Tue Aug 9 07:14:45 2016 reading relations for dependency 1
Tue Aug 9 07:14:49 2016 read 12999656 cycles
Tue Aug 9 07:15:33 2016 cycles contain 37415230 unique relations
Tue Aug 9 07:52:39 2016 read 37415230 relations
Tue Aug 9 07:59:16 2016 multiplying 37415230 relations
Tue Aug 9 09:50:48 2016 multiply complete, coefficients have about 2461.55 million bits
Tue Aug 9 09:51:08 2016 initial square root is modulo 331871
Tue Aug 9 11:39:30 2016 GCD is N, no factor found
Tue Aug 9 11:39:30 2016 reading relations for dependency 2
Tue Aug 9 11:39:32 2016 read 12996972 cycles
Tue Aug 9 11:40:00 2016 cycles contain 37404562 unique relations
Tue Aug 9 12:08:05 2016 read 37404562 relations
Tue Aug 9 12:12:18 2016 multiplying 37404562 relations
Tue Aug 9 13:55:16 2016 multiply complete, coefficients have about 2460.83 million bits
Tue Aug 9 13:55:36 2016 initial square root is modulo 330623
Tue Aug 9 15:42:17 2016 GCD is 1, no factor found
Tue Aug 9 15:42:17 2016 reading relations for dependency 3
Tue Aug 9 15:42:20 2016 read 12996728 cycles
Tue Aug 9 15:42:53 2016 cycles contain 37409626 unique relations[/CODE]

Still going. Hoping for the factors tonight or tomorrow now.

ryanp 2016-08-10 15:08

And down it goes... finally!

[CODE]Tue Aug 9 23:42:59 2016 reading relations for dependency 5
Tue Aug 9 23:43:02 2016 read 12998465 cycles
Tue Aug 9 23:43:42 2016 cycles contain 37408940 unique relations
Wed Aug 10 00:15:32 2016 read 37408940 relations
Wed Aug 10 00:20:42 2016 multiplying 37408940 relations
Wed Aug 10 02:30:05 2016 multiply complete, coefficients have about 2461.15 million bits
Wed Aug 10 02:30:28 2016 initial square root is modulo 331147
Wed Aug 10 04:34:12 2016 sqrtTime: 76767
Wed Aug 10 04:34:12 2016 prp90 factor: 197960268041791496705755968043758950086260703585482289571722979034513456400497557130637399
Wed Aug 10 04:34:12 2016 prp107 factor: 15818497134327367298413284274136162668654068956568721420160960775738778841979266908443552005546059501591211
Wed Aug 10 04:34:12 2016 elapsed time 21:19:29[/CODE]

Batalov 2016-08-10 16:24

Nice split! ;-)

LaurV 2016-08-11 02:53

I think this is one of the largest gnfs factorizations ever done, isn't it? (beside of the RSA numbers, and few other big thingies who in fact involved a lot of [U]collective[/U] effort), this may be one of the largest gnfs factorizations succeeded by an individual (!?).
The actual C177 looks like a piece of cake, in comparison.
Congrats!

ryanp 2016-08-13 21:41

The c177 staunchly resisted ECM, but is in GNFS now. ETA to factor: sometime tomorrow.

ryanp 2016-08-17 01:57

c187 (15465249...) LA is in progress now:

[CODE]Tue Aug 16 16:43:13 2016 commencing linear algebra
Tue Aug 16 16:43:15 2016 read 12431234 cycles
Tue Aug 16 16:43:55 2016 cycles contain 36336667 unique relations
Tue Aug 16 17:23:44 2016 read 36336667 relations
Tue Aug 16 17:25:29 2016 using 20 quadratic characters above 2147483490
Tue Aug 16 17:29:05 2016 building initial matrix
Tue Aug 16 17:59:30 2016 memory use: 5410.3 MB
Tue Aug 16 17:59:44 2016 read 12431234 cycles
Tue Aug 16 17:59:48 2016 matrix is 12431056 x 12431234 (6478.2 MB) with weight 1969154012 (158.40/col)
Tue Aug 16 17:59:48 2016 sparse part has weight 1549035458 (124.61/col)
Tue Aug 16 18:04:58 2016 filtering completed in 2 passes
Tue Aug 16 18:05:04 2016 matrix is 12430700 x 12430878 (6478.1 MB) with weight 1969133778 (158.41/col)
Tue Aug 16 18:05:04 2016 sparse part has weight 1549027613 (124.61/col)
Tue Aug 16 18:07:15 2016 matrix starts at (0, 0)
Tue Aug 16 18:07:19 2016 matrix is 12430700 x 12430878 (6478.1 MB) with weight 1969133778 (158.41/col)
Tue Aug 16 18:07:19 2016 sparse part has weight 1549027613 (124.61/col)
Tue Aug 16 18:07:19 2016 saving the first 48 matrix rows for later
Tue Aug 16 18:07:23 2016 matrix includes 64 packed rows
Tue Aug 16 18:07:25 2016 matrix is 12430652 x 12430878 (6351.3 MB) with weight 1714974825 (137.96/col)
Tue Aug 16 18:07:25 2016 sparse part has weight 1540650919 (123.94/col)
Tue Aug 16 18:07:25 2016 using block size 8192 and superblock size 4423680 for processor cache size 46080 kB
Tue Aug 16 18:09:06 2016 commencing Lanczos iteration (48 threads)
Tue Aug 16 18:09:06 2016 memory use: 5371.8 MB
Tue Aug 16 18:09:56 2016 linear algebra at 0.0%, ETA 109h 1m
Tue Aug 16 18:10:12 2016 checkpointing every 120000 dimensions[/CODE]

Prime95 2016-08-18 01:27

Great work. Maybe we'll see this sequence soon in the "terminations and merges" thread :) Should we start a poll as to how long this downdriver lasts?

flagrantflowers 2016-08-18 01:33

[QUOTE=Prime95;440178]Great work. Maybe we'll see this sequence soon in the "terminations and merges" thread :) Should we start a poll as to how long this downdriver lasts?[/QUOTE]

How many ways can an even sequence end?

Perfect number, amicable pair/X, ?zero?

science_man_88 2016-08-18 02:06

[QUOTE=flagrantflowers;440179]How many ways can an even sequence end?

Perfect number, amicable pair/X, ?zero?[/QUOTE]

more like sociable cycle ,1, or it might not. by sociable cycle I mean N numbers that are the proper divisor sum of each other with N=1.. infinity.

flagrantflowers 2016-08-18 02:48

[QUOTE=science_man_88;440181]more like sociable cycle ,1, or it might not. by sociable cycle I mean N numbers that are the proper divisor sum of each other with N=1.. infinity.[/QUOTE]

So odd sequences cannot end in one and even sequences cannot end in zero?


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