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2017-01-31, 17:19   #56
VBCurtis

"Curtis"
Feb 2005
Riverside, CA

7×617 Posts

Quote:
 Originally Posted by VBCurtis One core of my laptop took 10 days to reach 5000, with exactly 750 k's remaining. A single core of desktop is approaching 6000 now, with 50 more primes found.
550 k's remaining for R2017 at n= 10650. Continuing.

 2017-02-27, 22:19 #57 VBCurtis     "Curtis" Feb 2005 Riverside, CA 431910 Posts 500 k's remain at n = 13500 for R2017. Continuing.
 2017-03-25, 23:44 #58 wombatman I moo ablest echo power!     May 2013 110110010012 Posts S2017 has hit n=10000 (after repeating n=5k-10k 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.
 2018-01-25, 11:10 #59 MisterBitcoin     "Nuri, the dragon :P" Jul 2016 Good old Germany 2DE16 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.
 2018-01-25, 17:18 #60 VBCurtis     "Curtis" Feb 2005 Riverside, CA 7·617 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.
2018-01-25, 20:02   #61
10metreh

Nov 2008

2×33×43 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 no-one 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.
Attached Files
 riesel1031to2048.txt (10.5 KB, 141 views) sierp1031to2048.txt (10.4 KB, 162 views)

 2018-01-29, 10:22 #62 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 10110010110102 Posts Looking at the CKs for 2018 on both sides I am surprised one isn't proven.
 2018-01-29, 10:38 #63 gd_barnes     May 2007 Kansas; USA 5·13·157 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 2018-01-29 at 10:51
2018-01-29, 11:15   #64
MisterBitcoin

"Nuri, the dragon :P"
Jul 2016
Good old Germany

2×367 Posts

Quote:
 Originally Posted by gd_barnes 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.
They are both alive at n=10K.
Will upload the found primes and remaining k´s mid February.

Last fiddled with by MisterBitcoin on 2018-01-29 at 11:16

2018-02-15, 17:48   #65
MisterBitcoin

"Nuri, the dragon :P"
Jul 2016
Good old Germany

2×367 Posts

There you go, all you need is in the .zip.
Tested up to 2,5K with pfgw-script. (pfgw 3.8.3) and than tested up to n=10K with cllr.
No primes between n=2,5K-10K found, on booth sides.
Attached Files
 SR_2018.zip (51.4 KB, 67 views)

 2018-12-31, 16:06 #66 MisterBitcoin     "Nuri, the dragon :P" Jul 2016 Good old Germany 2DE16 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) I´ve only tryed exponent 144 (above is seen using 72; for sure. :P ). Is there any other exponents that I might try? (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 2018-12-31 at 16:33

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