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debrouxl 2015-02-18 17:20

Go ahead for 5443^59-1 :smile:

About the other numbers posted by William:
* the quartics are probably well out of reach for 14e (even quintics of those difficulties can be hard), 15e is a safer bet;
* the other sextics should be alright for 14e. I'll have to test sieve them, but this batch of 5 could arguably be food for clients in the upcoming challenge :smile:

wombatman 2015-02-18 19:42

If more numbers are needed for the upcoming challenge, what about pulling some of the larger ones from Kamada's Wanted Page ([url]http://stdkmd.com/nrr/wanted.htm[/url] )? There's a wide range of numbers available.

VictordeHolland 2015-02-18 23:21

[QUOTE=wombatman;395774]If more numbers are needed for the upcoming challenge, what about pulling some of the larger ones from Kamada's Wanted Page ([URL]http://stdkmd.com/nrr/wanted.htm[/URL] )? There's a wide range of numbers available.[/QUOTE]
Most of those can be done by individuals on a single PC in a couple of days to a few weeks. NFS@home is for numbers that are out of range of individuals without a clusters.

wombatman 2015-02-18 23:24

Towards the very bottom (Section 3) are some SNFS 240 to 300+. Those seem like they'd be pretty appropriate.

VictordeHolland 2015-02-18 23:35

[QUOTE=wombatman;395794]Towards the very bottom (Section 3) are some SNFS 240 to 300+. Those seem like they'd be pretty appropriate.[/QUOTE]
Ahaa, I didn't look down that far :surprised:.

wombatman 2015-02-18 23:48

[QUOTE=VictordeHolland;395795]Ahaa, I didn't look down that far :surprised:.[/QUOTE]

No worries! I was more afraid that I didn't have a proper idea of what constituted a good candidate for NFS@Home! For whoever gets to make the ultimate decision, the SNFS 230+ numbers start at around #300 on the 3rd section of numbers.

Batalov 2015-02-18 23:57

Note that these are only a thin slice of 'all' snfs-235-250+ (up to 300) jobs that his collection has.
These are the most "rewarding" so to say (factored to at most 3-4% of their log size), -- because the factors will have a chance to be larger if you were factoring a c250 with diff. 252 than if you were factoring a c180 with the same diff. 252. Of the latter kind, he has hundreds more (those can be found by wget'ting all the webpages and parsing).

The usual disclaimer applies of course, that they have no practical value. But of course factoring GCWs or Hom.Cunninghams or even straight Cunninghams has no practical value either. At least when one is factoring Cunninghams (or Hom.Cunninghams), one contributes to factoring larger similar numbers (i.e. what will be cyclotomically left of them), while when factoring near- and quasi-repdigits one is factoring [I]just[/I] them.

debrouxl 2015-02-19 10:18

I've just queued 139^133-1 to NFS@Home's 14e, after test sieving confirmed 31-bit LPs did the job.

Once in a while, I queue a near-repdigit number, nowadays preferably a relatively easy one which has received a large amount of ECM work (say, t55 for a SNFS difficulty 235- number).
Oh, that makes me think that I need to report the factors for the current reservation, we've had them for a little while :smile:

chris2be8 2015-02-19 16:53

[QUOTE=debrouxl;395758]Go ahead for 5443^59-1 :smile:

[/QUOTE]

Done.

Chris

wombatman 2015-02-25 03:34

If more numbers are needed, what about the Homogeneous Cunningham numbers? 204 ranging from SNFS ~220 to 250. Maybe a little on the low end, but it could be nice to knock off the larger ones.

Batalov 2015-02-25 03:40

[URL="http://www.mersenneforum.org/showthread.php?p=395791#post395791"]Yes[/URL], especially if worked starting from large towards small (leaving small for individuals).


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