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2010-01-17, 18:36   #12
rogue

"Mark"
Apr 2003
Between here and the

6,529 Posts

Quote:
 Originally Posted by rogue 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.

 2010-01-23, 21:07 #13 rogue     "Mark" Apr 2003 Between here and the 6,529 Posts Gary, are there any sieve files for these k? If so, could a link be added to those files in the first post?
2010-01-24, 03:36   #14
gd_barnes

May 2007
Kansas; USA

295F16 Posts

Quote:
 Originally Posted by rogue 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

 2010-03-10, 10:40 #15 gd_barnes     May 2007 Kansas; USA 245378 Posts 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. Gary
 2010-04-08, 21:31 #16 gd_barnes     May 2007 Kansas; USA 7·17·89 Posts 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.
 2010-04-08, 21:40 #17 Xentar     Sep 2006 Germany 2·5·19 Posts 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?
2010-04-08, 22:04   #18
rogue

"Mark"
Apr 2003
Between here and the

6,529 Posts

Quote:
 Originally Posted by gd_barnes 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.

 2010-04-08, 22:20 #19 kar_bon     Mar 2006 Germany 2×5×293 Posts 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.
2010-04-08, 23:24   #20
kar_bon

Mar 2006
Germany

2·5·293 Posts

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
 One_k_weights.txt (1.8 KB, 323 views)

 2010-04-09, 00:05 #21 rogue     "Mark" Apr 2003 Between here and the 6,529 Posts 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
2010-04-09, 04:40   #22
gd_barnes

May 2007
Kansas; USA

101001010111112 Posts

Quote:
 Originally Posted by kar_bon 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 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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