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-   -   Recommended bases and efforts (https://www.mersenneforum.org/showthread.php?t=13196)

 Puzzle-Peter 2011-10-18 16:35

[QUOTE=rogue;274910]What??? Isn't S63 keeping you occupied? :smile:[/QUOTE]
Occupied, yes. Entertained, weeeeellllllllllllll..... but there's light at the end of the tunnel :smile:

 gd_barnes 2011-10-19 07:37

I'd like to make an "unofficial" recommendation: Both sides of base 150 to n=25K. Completing these would put all bases < 190 with CK < 100K at n=25K. These bases shouldn't be too bad for some of our regular heavy hitters. Both have a CK=49074 and I expect them to have 200-250 k's remaining at n=25K. I have already tested them to n=2500. At that depth, R150 has 427 k's remaining and S150 has 401 k's remaining.

If anyone is interested in them, I can post the list of k's remaining at n=2500.

After R150/S150, the only base < 200 with CK < 100K that would need to be tested to n=25K is R193. But it is kind of a bad one. With CK=80802, it has 844 k's remaining at n=2500.

In a couple of weeks, I'll "officially" add to the recommended list bases < 256 with CK < 100K that have not yet been done to n=25K. There are something like 6-8 of them and I have done them all to n=2500. As for difficulty, most of them are somewhere in between R150/S150 and R193.

Gary

 gd_barnes 2011-11-01 06:21

10 new bases have been added to the recommended list. There is an attachment with each of their k's remaining at n=2500. R150 & S150 would be the highest priority. Completion of them would complete all bases <= 190 with conjectures k<100K to n=25K.

Edit: Completion of all 10 bases would complete all bases <= 256 with conjectures k<100K to n=25K.

 gd_barnes 2012-01-23 07:06

Mathew has been kind enough to provide us with some more sieve files for the various bases recommended to n=25K. They are on the reservations pages and are shown with an asterisk in the first post of this thread.

 gd_barnes 2012-01-30 05:14

Mathew has provided sieve files for both sides of base 223. All recommended new bases now have links to sieve files on the reservations pages.

 gd_barnes 2012-02-03 09:05

I have a recommendation of all 1k bases <= 256 up to n=200K.

 gd_barnes 2012-05-31 06:46

1 Attachment(s)
I received an interesting analysis from Ian. In it, he suggested testing all bases with 3 or 4 trivial factors that have a CK < 1M. These bases should have fewer k's remaining then most bases of similar size and CK. The analysis is attached. I have added the bases to the 1st post of this thread with a link to this post.

Gary

 gd_barnes 2012-08-05 01:48

Several of the new recommended bases in the 1st post here have been tested to n=2500 and sieve files have been provided for n=2.5K-25K.

 gd_barnes 2012-09-09 09:42

I have added R106 as recommended to n=25K. It has already been tested to n=10K with k<=100K already tested further to n=25K. There is a fully sieved file on the reservations page with the 1578 k's remaining for the range of k>100K and n=10K-25K.

 gd_barnes 2012-10-10 22:51

I have added R451 and S451 for n=10K-25K to the recommended list. Ian recently completed them to n=10K. There aren't too many k's remaining.

 gd_barnes 2012-10-12 17:46

I have added S79 for n=2.5K-25K. For completeness, I also added R51 for n=10K-25K, which is currently being worked on by Lennart.

Completion of these would put all bases <= 100 with CK < 20M at n=25K! :smile:

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