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Old 2010-01-17, 18:36   #12
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Quote:
Originally Posted by rogue View Post
Although it appears to me that I did test the entire range, I found no primes in it for those bases. So far I have retested 811 to about 9200 and haven't found a prime.
I sent Gary the residues for both bases up to n=25K. No primes. Poisson was not kind to me.
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Old 2010-01-23, 21:07   #13
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Gary, are there any sieve files for these k? If so, could a link be added to those files in the first post?
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Old 2010-01-24, 03:36   #14
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Quote:
Originally Posted by rogue View Post
Gary, are there any sieve files for these k? If so, could a link be added to those files in the first post?
Check on the Riesel and Sierp reservations web pages. I post a link to all of the available sieve files out in the right-hand most column. There are a fair # of them but most are for lower bases and so most aren't for bases with 1 k remaining.

After a quick check of unreserved bases with one k remaining, there are sieve files available only for Riesel bases 22 and 26; the latter just recently completed by Max. I know base 26 is sufficiently sieved but you might do some testing on base 22 to see if it is sieved far enough.

I'll put a note in the 1st post that a sieve file is available for those.

Last fiddled with by gd_barnes on 2010-01-24 at 03:36
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Old 2010-03-10, 10:40   #15
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The aliquot sequences project has a good thread called "recommended sequences". I like that idea and may start a thread for "recommended k's or bases" in the future. In the mean time, I'd like to start out by recommending a base to test with one k remaining:

2*170^n-1 for n=50K to (at least) n=100K

This is the smallest Riesel base that has k=2 remaining and it would be great to push it higher. The smallest with k=2 remaining on the Sierp side is base 101, which has already been searched to n=100K and is reserved by Ian to n=200K. So that one is well covered.

This thread was an excellent start by Mark to give some direction to this huge all-encompassing project. So I'll attempt to narrow things down a little further at times with occassional recommended bases and k's.


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Old 2010-04-08, 21:31   #16
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Mark had another good suggestion about 1k's in another thread: Compute the weight of each k remaining.

If anyone knows a program that can be run that can compute the weight of each of these k's and can post it here, that would be very helpful. I'll then add it to the first post.
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Old 2010-04-08, 21:40   #17
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If you could tell me, how to compute it, I could write a script..

I think, It's something like "Sieve n = 1 - 1000 to P = %something% and look, how many n are remaining"?
This should be possible with srsieve easily?
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Old 2010-04-08, 22:04   #18
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Quote:
Originally Posted by gd_barnes View Post
Mark had another good suggestion about 1k's in another thread: Compute the weight of each k remaining.

If anyone knows a program that can be run that can compute the weight of each of these k's and can post it here, that would be very helpful. I'll then add it to the first post.
There is this applet, but it doesn't seem to work anymore. I know it is for base 2, but it could probably be modified for other bases.
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Old 2010-04-08, 22:20   #19
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The standard Nash-weight was defined as n-values remaining after sieving the range 100001<=n<=110000 up to p=511.

So with srsieve the command
Code:
srsieve -n 100001 -N 110000 -P 511 "301*2^n-1"
prints 2254 candidates left for Riesel Base 2 k=301.

The small program 'nash' from T.Ritschel given here calculates a weight of 2158 for this k-value.

I'm using this program to show the Nash weights on www.rieselprime.de for all k-values.

Doing a script for some values should work with all bases and result in a compareable value for all.
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Old 2010-04-08, 23:24   #20
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Attached a file with all one-k-remaining-conjectures from post #1 with their weights (candidates left) with the mentioned srsieve-command above.
Attached Files
File Type: txt One_k_weights.txt (1.8 KB, 323 views)
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Old 2010-04-09, 00:05   #21
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I have 2*1004^n+1 reserved. See this thread. That's just in case someone tries to take it themselves.

Aren't I so lucky to get S227? It has the lowest weight...

Last fiddled with by rogue on 2010-04-09 at 00:06
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Old 2010-04-09, 04:40   #22
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Quote:
Originally Posted by kar_bon View Post
The standard Nash-weight was defined as n-values remaining after sieving the range 100001<=n<=110000 up to p=511.

So with srsieve the command
Code:
srsieve -n 100001 -N 110000 -P 511 "301*2^n-1"
prints 2254 candidates left for Riesel Base 2 k=301.

The small program 'nash' from T.Ritschel given here calculates a weight of 2158 for this k-value.

I'm using this program to show the Nash weights on www.rieselprime.de for all k-values.

Doing a script for some values should work with all bases and result in a compareable value for all.
Hum, I wonder if the program "nash" sieves slightly higher than P=511? I'll try different P-depths as an experiment.

Quote:
Originally Posted by kar_bon View Post
Attached a file with all one-k-remaining-conjectures from post #1 with their weights (candidates left) with the mentioned srsieve-command above.
Excellent. Good work! I'll add them to the first post sometime Friday.


Gary
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