20170131, 17:19  #56 
"Curtis"
Feb 2005
Riverside, CA
11×409 Posts 

20170227, 22:19  #57 
"Curtis"
Feb 2005
Riverside, CA
1193_{16} Posts 
500 k's remain at n = 13500 for R2017. Continuing.

20170325, 23:44  #58 
I moo ablest echo power!
May 2013
11011001101_{2} Posts 
S2017 has hit n=10000 (after repeating n=5k10k b/c I used the wrong base )
There are 1011 k remaining. I'll take it to n=15000 and then decide whether to continue. 
20180125, 11:10  #59 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2E6_{16} Posts 
Anyone interested in S/R 2018? I´ve booth tested to n=10K and like to stop.
I´ve stored the information´s at my PC at home, I´ll upload them in the middle of February. 
20180125, 17:18  #60 
"Curtis"
Feb 2005
Riverside, CA
11·409 Posts 
I was just thinking about this! Sure, I'll take R2018 from 10k to 15k, and then pass it along to the next person.
I'll also post k's remaining for R2017 at 20k sometime soon. 
20180125, 20:02  #61 
Nov 2008
2×3^{3}×43 Posts 
Back in 2011 I posted lists of conjectured ks for bases 1031 to 2048 in this thread. Since then I found smaller ks for a few very difficult bases, so here are some updated lists. I know it's likely that noone will ever work on these bases, but I thought it would be good to put the lists up in any case for the sake of correctness  if they even are correct, as these are all just conjectures, and maybe some of the ks can still be improved.

20180129, 10:22  #62 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
5753_{10} Posts 
Looking at the CKs for 2018 on both sides I am surprised one isn't proven.

20180129, 10:38  #63 
May 2007
Kansas; USA
2·47·109 Posts 
The base is b==(2 mod 3), which makes it low weight. That combined with the fact that it is a huge base and has no k's with trivial factors makes it tougher.
k=2 remains on both sides at n=2500. Last fiddled with by gd_barnes on 20180129 at 10:51 
20180129, 11:15  #64  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2×7×53 Posts 
Quote:
Will upload the found primes and remaining k´s mid February. Last fiddled with by MisterBitcoin on 20180129 at 11:16 

20180215, 17:48  #65 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2×7×53 Posts 
There you go, all you need is in the .zip.
Tested up to 2,5K with pfgwscript. (pfgw 3.8.3) and than tested up to n=10K with cllr. No primes between n=2,5K10K found, on booth sides. 
20181231, 16:06  #66 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2E6_{16} Posts 
I have done some experimenting with numbers of the form k*b!^n+1 and found for b=11! the following ck:
5632536606457830 Well, at first i guessed I found the largest ck, but. It´s not that easy because n=1 and n=14 are prime; so the guessed number is not the ck. Well, where are we now? I´ve found some other ck´s. Code:
And their orders: 3,6,8,9,9,9,12,18,24,36,36,72,72 **************** Solution found **************** 3280323810310732029 (primed) **************** Solution found **************** 2778419435096714989 (primed) **************** Solution found **************** 2301476499057487007 (primed) **************** Solution found **************** 51656689484884092 (primed) **************** Solution found **************** 24201424107893047 (primed, tooo) **************** Solution found **************** 20936636839733734 (primed) **************** Solution found **************** 18509009541806713 (now primed) **************** Solution found **************** 15868137785229282 (primed) **************** Solution found **************** 11552808260600936 (primed) **************** Solution found **************** 5632536606457830 (primed) (It seems that the other ck´s are not getting a full covering set; I´m just searching for a prime n<10K. ;) ) more edits: 18509009541806713*39916800^367+1 is prime! 24201424107893047*39916800^180+1 is prime! 2778419435096414989*39916800^148+1 is prime! (not very surprising.) Last fiddled with by MisterBitcoin on 20181231 at 16:33 
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