Sierpinski/ Riesel bases 6 to 18

[jasong]

Is there somewhere where we can find the n-values for the low k? If not, maybe someone could help with scripts(in Windows) that can take a list of prime k/n equations and find the k-values that are missing below a certain level. I could do each base up to 10,000 then and there would be a database for n-values that yield certain k/b prime and a list of what's left after 10,000 as well as a reference to this thread.

If there isn't a reference site for this, maybe someone could help me accomplish this?

[gd_barnes]

Originally Posted by robert44444uk

After a bit of fiddling about with [7,43,37,31,13] came up with the riesel candidate 213410 for base 6. 133946 is trivial.

Regards

Robert Smith

Originally Posted by robert44444uk

Did a little work this afternoon of base 6. Using the covering set [7,43,37,31,13] repeating every 24n provides a Sierpinski number 243417.

I will try to do the Riesel later.

Note that the alternative set [7,43,37,31,97] repeating every 24n could also provide a lower Sierpinski value. However 243417 is at 0.73% of the product of this set's cover primes, and there are only 24 values to check, if I was any good at statistics I could tell you what the probability is, but I am not!!

Regards

Robert Smith

According to my calculations: Here are the lowest Riesel and Sierpinski numbers base 6:

Riesel: k=84687

Sierpinksi: k=174308

Both have a covering set of [7,13,31,37,97] and repeat every 12 n.

I realize the above are older posts from Jan. 2007 and that perhaps someone has come up with some updated info. since that time. If there is newer info. that I missed reference base 6, can you refer me to it? Or if not and you'd like to know how I came up with the values, I can explain.

Maybe this will make the conjectures a little easier to prove base 6!

I am in the process of putting together all of the information that I can in order to create a web page that has all of the Riesel-Siepinski information for all bases <= 50. So any information that I can get helps.


Thanks,
Gary

[gd_barnes]

I'm looking for a continuation of the base 6 to 18 thread discussion that seemed to end abruptly in Feb. Was it moved somewhere or did it just die out?

There was a lot of interesting work going on in the thread and I am putting together a web page of much of the information that is in it.


Thanks,
Gary

[mdettweiler]

It's right here, just two threads down from yours at the moment. Maybe you passed over it somehow?

[gd_barnes]

Originally Posted by Anonymous

It's right here, just two threads down from yours at the moment. Maybe you passed over it somehow?

No...of course I saw that thread. I said was the CONTINUATION of it moved? That thread just died in Feb. 2007. I don't get it. There was so much information flying back and forth and then it's like it went off into never-never land somewhere like a moderator moved it somewhere or something.

I guess another question would be...is there more info. for the Riesel-Sierpinski problems for base 6 and higher other than just that thread?


Gary

[Citrix]

I think people just lost interest. Base 10 is still alive. You can use the other projects section, if you want to work on a particular base.

[masser]

merged gd_barnes thread questioning the activity level of this thread....

[mdettweiler]

Originally Posted by gd_barnes

No...of course I saw that thread. I said was the CONTINUATION of it moved? That thread just died in Feb. 2007. I don't get it. There was so much information flying back and forth and then it's like it went off into never-never land somewhere like a moderator moved it somewhere or something.

I guess another question would be...is there more info. for the Riesel-Sierpinski problems for base 6 and higher other than just that thread?


Gary

Oh, I see now. I had misunderstood your post.

[gd_barnes]

Originally Posted by Citrix

I think people just lost interest. Base 10 is still alive. You can use the other projects section, if you want to work on a particular base.

Oh, that's too bad. I had hoped it 'continued' somewhere else. It looks like Robert mostly kept it going but he left and it was getting hard to follow without a single place for all of the info. by base. Maybe those things caused it to die out.

I have a web page that lists all known Riesel primes base 10 at gbarnes017.googlepages.com/primes-kx10n-1.htm including the info. in this thread and the other one in this forum.

Masser, would you have any objection to me seeing if I can get things started again in this thread?

I've got a spreadsheet started that contains a lot of additional research that I've done that I'll be using to create a web page in the near future. Perhaps a web page will jump start interest again. More than one person had asked for it previously in this thread.


Thanks,
Gary

[masser]

Originally Posted by gd_barnes

Masser, would you have any objection to me seeing if I can get things started again in this thread?

I have no objection at all, but perhaps all of these threads about other bases belong in the new Open Projects sub-forum. As moderator of this project, I feel that we should maintain focus on the base 5 project. The other bases only serve as a distraction to our project.

[mdettweiler]

Originally Posted by masser

I have no objection at all, but perhaps all of these threads about other bases belong in the new Open Projects sub-forum. As moderator of this project, I feel that we should maintain focus on the base 5 project. The other bases only serve as a distraction to our project.

That would probably be a good idea, considering that Sierpinski Base 4 is already over there anyway.