20080712, 21:28  #1 
Quasi Admin Thing
May 2005
39B_{16} Posts 
Bases 5011030 reservations/statuses/primes
@Garys edit: actually i'm now running a perfect test for base 781 sierpinski and it actually finds primes just the same as with bases below or equal 255. But if one take a look at the pfgwdoc.txt file, and looks under "b" it states something with bases having to be between 2 and 255

20080712, 21:40  #2 
Jan 2005
1DF_{16} Posts 
That's the base it uses internaly to prove primality, it has nothing to do with the formula you are testing (No need to set it usually, it choses for you automagically...)
See http://primes.utm.edu/prove/prove2_2.html for more reading material 
20080713, 00:26  #3  
May 2007
Kansas; USA
2×3^{6}×7 Posts 
Quote:
Based on that, test whatever base you want but please limit them to bases with somewhat low conjectured kvalues. Gary Last fiddled with by gd_barnes on 20080713 at 00:27 

20080716, 10:53  #4 
May 2007
Kansas; USA
2·3^{6}·7 Posts 
KEP had mentioned testing base 781 with PFGW for primality proving. That got me curious because so many k's on this base have trivial factors. So I checked the conjecture of it and it is k=528 with a covering set of {17 23}.
Seeing that there were only ~120130 k's that would need to be tested after eliminating all k==(1 mod 2), (2 mod 3), (4 mod 5), and (12 mod 13) that had trivial factors, I decided to give it a whirl. It's not bad at all with just 2 k's remaining, k=346 & 370, at n=3K. Based on this and my earlier test of k=4 on Sierp base 242 to n=3K, I will reserve all 3 of the k's on these 2 bases up to n=10K. Gary Last fiddled with by gd_barnes on 20080716 at 21:11 
20080716, 21:11  #5 
May 2007
Kansas; USA
10011111011110_{2} Posts 
One kvalue is now down for Sierp base 781:
346*781^4210+1 is prime. Gary Last fiddled with by gd_barnes on 20100118 at 07:54 Reason: remove bases <= 500 
20080719, 10:54  #6 
May 2007
Kansas; USA
27DE_{16} Posts 
Sierp base 781 k=370 is complete to n=10K. No primes.
No more work to be done on it. 
20080719, 14:11  #7 
Quasi Admin Thing
May 2005
13×71 Posts 
@ Willem and Gary: Excuse me for asking a ton of questions, but if it is not the covering sets (as I thought) that comes as output in the line saying something with "examining the primes in the covering set"(1) in the command line program, then what is it?
Example given: Sierpinski base: 1023 1.: 13,61,1321 (covering no/yes?) k: 632462 Exponent: 6 Hope it is clear what I asked, and also, if the "1." isn't the conjecture, the why is the covering.exe program only programmed to come up with a solution only and not a covering set on the same time? My questions doesn't mean that I'll do any more conjectures, as stated earlier I doesn't have the skills, but they are simply out of curiosity and a slim hope of someday understanding Regards Kenneth! Last fiddled with by KEP on 20080719 at 14:14 
20080719, 15:57  #8  
Jan 2006
Hungary
2^{2}×67 Posts 
Quote:
1321 divides 632462*1023^(3q+1)+1 61 divides 632462*1023^(3q+2)+1 13 divides 632462*1023^(3q+3)+1 covering all values of n. Willem. 

20080719, 16:22  #9  
Quasi Admin Thing
May 2005
13×71 Posts 
Quote:
Kenneth! 

20080719, 16:38  #10  
Jan 2006
Hungary
2^{2}×67 Posts 
Quote:
Willem 

20090410, 21:05  #11 
Quasi Admin Thing
May 2005
13×71 Posts 
Hello
As part of my goal for this year, aswell in order to make sure my computer is not running idle while away on 3 weeks vacation some 4 weeks from now, I've decided to reserve 679 different Riesel bases with 1 thing in common, they all have k<=100K. All bases should be reported as completed in the end of this year. Also all bases will be tested to n=25K or proven. Already as I speak, 14 bases has been tested and 10 has been proven This also means, that the Sierp base 63 reservation will still run, though it will only run in idle mode, so during nighttime and awaytime from the computer, the Sierpinski base 63 reservation will get full attention. Hope that everyone is alright with this new approach Also I'll start by knooking down the riesel conjectures with the lowest predicted kvalue. Regards KEP Ps. Will frequently return my output results to Gary, as more and more bases gets completely proven or tested to n=25K 
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