Riesel/Sierp #'s for bases 3, 7, and 15

[KEP]

Originally Posted by gd_barnes

OK, I'll note this on the reservations page.

I told you finding millions of small primes would get boring after a while!

Since this involves reservations, I'll move it over to the reservations thread. We're using this thread for discussion about the conjecture values.

Thanks for the update and good luck on Sierp base 19! It may turn out to take more total CPU time than Riesel base 3 because it's not a very prime base.


Gary

You did tell me and you were right... this just shows that you've way more insight than me ... so to Gary and anyone else, good luck on what you might decide to run!

Kenneth

[robert44444uk]

I'm running Sierpinski 3, but the computer has been going for over a week on 360-cover !! This is a case where I think that mooted k is the lowest.

[PrimeMogul]

Originally Posted by gd_barnes

Prof. Caldwell has an unpublished math paper that he sent me shortly after the project started on the Sierpinski side only. It lists conjectures for all bases <= 100. I do not know if he wished the paper to be public info. so if you'd like some conjectured values from it, I'll send him a note asking if it's OK to reveal that info.

Finally the old draft is public some 18 months late...

http://www.utm.edu/staff/caldwell/preprints/2to100.pdf

Any comments, corrections, ... welcome. Most of what we had done is now duplicated by others--and of course for many bases you have searched far further.

CC

[gd_barnes]

Originally Posted by PrimeMogul

Finally the old draft is public some 18 months late...

http://www.utm.edu/staff/caldwell/preprints/2to100.pdf

Any comments, corrections, ... welcome. Most of what we had done is now duplicated by others--and of course for many bases you have searched far further.

CC

Ah, very good. Thanks Prof. Caldwell.

I got the draft that you sent in an Email and have been taking a look at it over the last few days. I have a couple of comments but will reserve those until I'm done in the next couple of days.

To all: Now that Chris has made this public info., I'll see about getting our web pages updated to include all of the Sierp conjectures up to base 100 over the next few weeks. One note though: The k's remaining in the paper on the various bases do not relieve of us of finding the primes hence new bases still need to be started from scratch.

One thing that is different in the paper than what we are doing here: Prof. Caldwell's group allowed k's with all or partial algebraic factors to be the lowest conjectured k-value with a covering set. For this project, we only allow 'numeric' covering sets (i.e. no algebraic factors) to be the conjectured k-value. The reason for this is that it would make for extremely low conjectures on the Riesel side for any base that was a perfect square and hence rather 'uninestering' in both a project and a mathematical sense. Although less apparent on the Sierp side, it also leads to some 'less interesting' conjectures from a project perspective. The best example there is base 16, which would have an easily proven conjecture of k=2500.

So for the purposes of this project, we eliminate k's from consideration that have all or partial algebraic factors for the same reason that we eliminate k's with a single trivial factor.

Chris, I was able to conclude that your group had searched most bases to n=30K-40K. Is that correct? If you have any detailed info. about primes found, search ranges, etc. on the various bases, could you forward them to me?


Thanks,
Gary

[PrimeMogul]

Originally Posted by gd_barnes

Chris, I was able to conclude that your group had searched most bases to n=30K-40K. Is that correct? If you have any detailed info. about primes found, search ranges, etc. on the various bases, could you forward them to me?

Yes Gary. I am going to Japan in about a week and am very busy right now. Would when I get back in November be okay? I can send you the pfgw logs so you can see (and verify) the primes found. I think the logs
are all still intact. If you want it sooner I can send all without
cleaning things up.

I also updated the paper slightly. I noticed my versions were out of
sync and the one which referenced Gerbicz fine program was not there.
Comparing to his program found a small error in his program which he
has since fixed.

[gd_barnes]

Originally Posted by PrimeMogul

Yes Gary. I am going to Japan in about a week and am very busy right now. Would when I get back in November be okay? I can send you the pfgw logs so you can see (and verify) the primes found. I think the logs
are all still intact. If you want it sooner I can send all without
cleaning things up.

I also updated the paper slightly. I noticed my versions were out of
sync and the one which referenced Gerbicz fine program was not there.
Comparing to his program found a small error in his program which he
has since fixed.

Yes, November would be fine. That's excellent that you still have the pfgw logs available so those would be greatly helpful.

[gd_barnes]

I moved several posts that had specific testing statuses, primes, and k's remaining for Riesel base 3 to the "Riesel base 3 statuses thread" and for Riesel base 15 to "Bases <= 32 statuses thread".

I was having a heck of a time verifying some statuses on old base 15 efforts for web page updates until I finally found some here.