20150218, 17:20  #23 
Sep 2009
977 Posts 
Go ahead for 5443^591
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 
20150218, 19:42  #24 
I moo ablest echo power!
May 2013
3^{2}·193 Posts 
If more numbers are needed for the upcoming challenge, what about pulling some of the larger ones from Kamada's Wanted Page (http://stdkmd.com/nrr/wanted.htm )? There's a wide range of numbers available.
Last fiddled with by Batalov on 20150218 at 19:49 Reason: fixed the link 
20150218, 23:21  #25  
"Victor de Hollander"
Aug 2011
the Netherlands
10010011000_{2} Posts 
Quote:


20150218, 23:24  #26 
I moo ablest echo power!
May 2013
11011001001_{2} Posts 
Towards the very bottom (Section 3) are some SNFS 240 to 300+. Those seem like they'd be pretty appropriate.

20150218, 23:35  #27 
"Victor de Hollander"
Aug 2011
the Netherlands
1176_{10} Posts 

20150218, 23:48  #28 
I moo ablest echo power!
May 2013
1737_{10} Posts 
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.

20150218, 23:57  #29 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}×5×227 Posts 
Note that these are only a thin slice of 'all' snfs235250+ (up to 300) jobs that his collection has.
These are the most "rewarding" so to say (factored to at most 34% 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 quasirepdigits one is factoring just them. 
20150219, 10:18  #30 
Sep 2009
977 Posts 
I've just queued 139^1331 to NFS@Home's 14e, after test sieving confirmed 31bit LPs did the job.
Once in a while, I queue a nearrepdigit 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 
20150219, 16:53  #31 
Sep 2009
2^{2}×3×5×31 Posts 

20150225, 03:34  #32 
I moo ablest echo power!
May 2013
3^{2}×193 Posts 
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.

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