mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   NFS@Home (https://www.mersenneforum.org/forumdisplay.php?f=98)
-   -   Linear algebra reservations, progress and results (https://www.mersenneforum.org/showthread.php?t=20023)

fivemack 2017-06-25 04:18

I think I have the reservations and completed-work synchronised now

Taking C206_129_95 (ETA morning of July 6)

fivemack 2017-06-25 10:05

[QUOTE=VBCurtis;461659]If 148^83+83^148 can get another ~60-70MQ scheduled to get raw rels over 700M, I can get the LA started before I leave.[/quote]

I have stuck another 100MQ on C195_148_83

swellman 2017-06-25 19:13

C205_125_117
 
Reserving C205_125_117 for postprocessing. Thank you.

fivemack 2017-06-26 07:57

Taking C208_138_73

ETA July 3rd

Revised ETA July 6th, because I forgot to restart it to run over the weekend when my machine crashed late on Friday night

swellman 2017-06-27 22:51

[QUOTE=VBCurtis;461659]If 148^83+83^148 can get another ~60-70MQ scheduled to get raw rels over 700M, I can get the LA started before I leave. It's a 4-node Dell C6100, for which MadPoo sent me his drawer of server DDR2 4GB sticks; two nodes have 32gb and two have 24gb, so I can run a second LA job over summer.
[/QUOTE]

I'm very curious to see if a) you can now get 148_83 into LA with your hardware; and b) how long it will take to solve it. Rooting for success!

What is the minimum number of relations for a 33-but job? I had assumed it was north of 900M, but you often seem to solve 31 and 32-bit jobs with less than the typical number of relations so I'm rethinking the issue. Good luck whatever the final number is.

VBCurtis 2017-06-28 03:56

[QUOTE=swellman;462209]I'm very curious to see if a) you can now get 148_83 into LA with your hardware; and b) how long it will take to solve it. Rooting for success!

What is the minimum number of relations for a 33-but job? I had assumed it was north of 900M, but you often seem to solve 31 and 32-bit jobs with less than the typical number of relations so I'm rethinking the issue. Good luck whatever the final number is.[/QUOTE]

I solved 13*2^864-1 with 15e/33LP and needed 620M raw relations to build a TD=124 matrix. But that was SNFS-264 or so, much smaller than this candidate. 13*2^837-1 was also 15e/33LP, took 557M raw relations for ~SNFS-256; I believe that one would have been quicker as 32LP, but not by much; that factorization provides a reasonable lower bound for # of relations needed, I think- that matrix built at TD=116.
13*2^827-1, a C251, built a TD=116 matrix with 326M raw relations with 15e/32.

Two data points with small inputs isn't enough to fit a regression for # of relations vs input size; I look forward to seeing if 750M is enough for this rather large task. I'll wait a day or two to try filtering, since I may need every last relation. If I accept that 8 digits of SNFS diffculty requies 60M more relations (per the two above data points), 750M relations should be sufficient for SNFS-279ish; well short of this GNFS-194. Maybe I'll need 825M to get TD above 120...

I plan to gather more 33LP data by running some snfs-250 through NFS@home as 14e/33; I think 550-575M rels will work, and wish to demonstrate this.

fivemack 2017-06-29 07:49

I have done three 33-bit GNFS jobs above 190 digits.

[code]
192.3 15e 971.4Mr/680.3Mu 39.1M 1140hrs i7/5820Kx6 td=128, td=144 failed
193.1 15e 873.0Mr/659.5Mu 34.5M 706hrs i7/4930Kx6 td=120
196.8 16e 885.4Mr/645.7Mu 33.4M 852hrs K10/1900x24MPI td=120
[/code]

I would be quite surprised if you can make a usable matrix with less than 850M raw relations at this level; accordingly I have pushed Q_max up to 900M.

I have also done some SNFS jobs with 33-bit large primes
[code]
272.8 15e 1064.4Mr/790.2Mu 44.2M 1550hrs i7/5820Kx6 td=160
278.9 15e 985.4Mr/742.4Mu 42.8M 1290hrs K10/1900x48MPI td=136, td=144 failed
[/code]

I think it would be useful to record the size as well as the density of the matrices you obtained in previous work

swellman 2017-06-30 20:04

[QUOTE=swellman;462058]Reserving C205_125_117 for postprocessing. Thank you.[/QUOTE]

ETA is 19 July.

RichD 2017-07-04 02:24

I'll take C215_145_52 next.

fivemack 2017-07-05 12:21

Taking C198_149_50

swellman 2017-07-05 13:40

[QUOTE=VBCurtis;461659]If 148^83+83^148 can get another ~60-70MQ scheduled to get raw rels over 700M, I can get the LA started before I leave. It's a 4-node Dell C6100, for which MadPoo sent me his drawer of server DDR2 4GB sticks; two nodes have 32gb and two have 24gb, so I can run a second LA job over summer.
[/QUOTE]

Any progress on 148^83+83^148?


All times are UTC. The time now is 23:10.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.