20170201, 13:34  #67 
Nov 2016
2,819 Posts 
Found an additional exclusion:
Riesel k=12: base 307 has a covering set of [5, 11, 29] Thus, there are only 6 bases remain for Riesel k=12: 263, 593, 615, 717, 912, 978. Last fiddled with by sweety439 on 20170201 at 13:38 
20170201, 15:43  #68 
Nov 2016
2,819 Posts 
Also, for the "number of remaining k's" column of the text files for the remain bases, why 7*1004^n+1 and 10*1004^n+1 lists 3k, but 2*1004^n+1 lists 1k? As you say, S1004 should list 3k since k=2, 7 and 10 remain for that same base, like the example for S593, all 4*593^n+1, 8*593^n+1 and 12*593^n+1 list 3k since k=4, 8 and 12 remain for that same base, and the example for S824, both 5*824^n+1 and 8*824^n+1 lists 2k since k=5 and 8 remain for that same base, but why for S230, 12*230^n+1 lists 2k but 4*230^n+1 lists 1k? S230 should list 2k since k=4 and 12 remain for that same base.
Last fiddled with by sweety439 on 20170201 at 16:08 
20170201, 22:24  #69 
May 2007
Kansas; USA
3·3,449 Posts 
My files have been fixed on my machine. Whenever I post them again, you will see the corrections.

20170209, 01:39  #70  
Romulan Interpreter
Jun 2011
Thailand
2×3×5×313 Posts 
Quote:
2*522^622881 is prime! (169279 decimal digits, P = 29) Time : 768.095 sec. And out of your interest range, but yet ok for our sweetytweety (see the thread I posted yesterday about cllr bug), 2*1487^364321 is prime! (115574 decimal digits, P = 9) Time : 420.446 sec. Last fiddled with by LaurV on 20170209 at 02:14 

20170209, 15:49  #71 
Nov 2016
2819_{10} Posts 
There is a research for k=2 and some Sierpinski/Riesel bases (including some bases b>1030): http://mersenneforum.org/showthread.php?t=6918

20170310, 19:10  #72  
Nov 2016
2,819 Posts 
Quote:


20170310, 19:26  #73  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2·13·31 Posts 
Quote:
Code:
Primality testing 10*992^54431 [N1, BrillhartLehmerSelfridge] Running N1 test using base 3 Factored: 13 composite 10*992^54431 is composite (5.8175s+0.0003s) 

20170310, 21:10  #74 
May 2007
Kansas; USA
3·3,449 Posts 
OK thanks. The prime is 10*992^54331. There was a typo in my file. I have corrected it on my machine.

20170816, 17:58  #76 
Nov 2016
2,819 Posts 
I am now reserving 2*801^n+1, 7*1004^n+1, 10*449^n+1 and 12*312^n+1 and found that 10*449^18506+1 is prime. (2*801^n+1 is currently at n=26600, 7*1004^n+1 is currently at n=28374, and 12*312^n+1 is currently at n=12394, all no prime found)
This is the result text file for 10*449^n+1. 
20170816, 22:27  #77 
May 2007
Kansas; USA
10347_{10} Posts 
I have updated the files in post #62.
