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-   -   Sierpinski/ Riesel bases 6 to 18 (https://www.mersenneforum.org/showthread.php?t=6895)

jasong 2007-05-22 01:10

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 2007-11-25 08:41

[quote=robert44444uk;95436]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[/quote]

[quote=robert44444uk;95426]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[/quote]


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! :smile:

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 2007-11-27 02:46

Was base 6 to 18 discussion moved ?
 
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 2007-11-27 03:12

It's [url=http://www.mersenneforum.org/showthread.php?t=6895]right here[/url], just two threads down from yours at the moment. :smile: Maybe you passed over it somehow?

gd_barnes 2007-11-27 06:48

[quote=Anonymous;119318]It's [URL="http://www.mersenneforum.org/showthread.php?t=6895"]right here[/URL], just two threads down from yours at the moment. :smile: Maybe you passed over it somehow?[/quote]

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 2007-11-27 09:18

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 2007-11-27 16:36

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

mdettweiler 2007-11-27 16:54

[quote=gd_barnes;119322]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[/quote]
Oh, I see now. :smile: I had misunderstood your post. :blush:

gd_barnes 2007-11-27 20:09

[quote=Citrix;119330]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.[/quote]

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 [URL="http://gbarnes017.googlepages.com/primes-kx10n-1.htm"]gbarnes017.googlepages.com/primes-kx10n-1.htm[/URL] 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 2007-11-28 15:07

[QUOTE=gd_barnes;119369]
Masser, would you have any objection to me seeing if I can get things started again in this thread?
[/QUOTE]

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 2007-11-28 16:15

[quote=masser;119428]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.[/quote]
That would probably be a good idea, considering that Sierpinski Base 4 is already over there anyway.


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