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-   -   3,748+ c204 Smaller-but-Needed (https://www.mersenneforum.org/showthread.php?t=24548)

Batalov 2019-06-28 03:06

3,748+ c204 Smaller-but-Needed
 
Is there any interest in 3,748+ c204 Smaller-but-Needed gnfs cofactor?

VBCurtis 2019-06-28 03:59

I am personally interested in any major-project candidate over 200 digits; the closer to 200 the shorter the job and the more iterations we have to learn from, so I'd be happy to run this number as the next forum project if there's sufficient interest. On CADO, it would run I=15 and 34LP, much less taxing RAM requirement (say, 3GB per client rather than 9+).

2330L is on pace to sieve in 90 thread-years, where most threads are hyper-threads; that's about 50 core-years if we pretend HT does not exist. A C204 should be about 70% that effort, 60 to 65 [hyper]thread-years.

Maybe start a new thread to gauge interest?

pinhodecarlos 2019-06-28 17:22

I’m in.

Dylan14 2019-06-28 21:09

Do we know how much ECM has been done on this cofactor? I would assume at least to the t50 level, since on factordb there is a 51 digit factor of 3^748+1.

swellman 2019-06-28 22:10

[QUOTE=Dylan14;520286]Do we know how much ECM has been done on this cofactor? I would assume at least to the t50 level, since on factordb there is a 51 digit factor of 3^748+1.[/QUOTE]

It’s a good question - I can enqueue the number on Yoyo@Home but at what level?

How about a full t60 followed by most of a t65? But that’s just a guess.

Dylan14 2019-06-28 22:39

[QUOTE=swellman;520290]It’s a good question - I can enqueue the number on Yoyo@Home but at what level?

How about a full t60 followed by most of a t65? But that’s just a guess.[/QUOTE]

Assuming that only a t50 has been done(*), ecm-effort.py says to do
6000@43M
2200@110M
39800@260M
24400@850M

So I would posit a full t60 + half a t65 (~40k curves).

(*) I actually assumed 9000 curves were done at t50 level (B1 = 43M)

R.D. Silverman 2019-06-28 23:42

[QUOTE=Dylan14;520292]Assuming that only a t50 has been done(*), ecm-effort.py says to do
6000@43M
2200@110M
39800@260M
24400@850M

So I would posit a full t60 + half a t65 (~40k curves).

(*) I actually assumed 9000 curves were done at t50 level (B1 = 43M)[/QUOTE]

Bruce did a full t60.

swellman 2019-06-29 01:15

[QUOTE=R.D. Silverman;520295]Bruce did a full t60.[/QUOTE]

In that case I’ll begin enqueuing 3_748+ on Yoyo@Home next week at the t65 level. It will probably take most of the summer to chew it up completely.

Dylan14 2019-06-29 01:16

[QUOTE=R.D. Silverman;520295]Bruce did a full t60.[/QUOTE]

With this bit of information plus the table of optimal ECM parameters, ecm-effort.py now says 22600 curves @ 850M would be enough before passing on to NFS.

swellman 2019-11-09 01:47

Ryan Propper was kind enough to ECM 3,748+ to the t65+ level. It is ready for GNFS.

Anyone interested in a poly hunt? The record e-score for a C204 is 2.630e-15. Suggest focusing on deg 5, as deg 6 is very likely to have inferior performance on a C204.

[CODE] 533439167600904850230361756102700151678687933392166847323827307497363839257031077774321424872955045754669625577486179222154434651598903112919949771321416511589029559325246084363632977829645558547714072241
[/CODE]

R.D. Silverman 2019-11-09 01:51

[QUOTE=swellman;530074]Ryan Propper was kind enough to ECM 3,748+ to the t65+ level. It is ready for GNFS.

Anyone interested in a poly hunt? The record e-score for a C204 is 2.630e-15. Suggest focusing on deg 5, as deg 6 is very likely to have inferior performance on a C204.

[CODE] 533439167600904850230361756102700151678687933392166847323827307497363839257031077774321424872955045754669625577486179222154434651598903112919949771321416511589029559325246084363632977829645558547714072241
[/CODE][/QUOTE]

Was a poly search for 2,2210M finished? Or will Greg do it via an SNFS quartic???


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