20071227, 20:05  #1 
May 2007
Kansas; USA
13·809 Posts 
Bases 251500 reservations/statuses/primes
I started an attempt to prove Sierp base 256, which has a low conjecture of k=1221. There are 2 k's remaining that need a prime, one of which has already been searched to top5000 territory. See the web pages.

20080120, 05:33  #2 
May 2007
Kansas; USA
13·809 Posts 
I am reserving Riesel base 256. I'll take it to either n=15K or n=25K and post the k's that are left on a separate web page.
I started on it yesterday and am currently at n=6K with 85 k's remaining. The conjecture is k=10364. It takes quite a while to test so many k's on such a high base. Alas, we'll be in top5000 territory at n=41.7K! Gary Last fiddled with by gd_barnes on 20100511 at 05:15 Reason: remove base <= 250 
20080121, 20:55  #3 
May 2007
Kansas; USA
13·809 Posts 
Status on Riesel base 256: Now up to n=12.5K on all k's. 65 k's remaining. About 810 more k's can be removed with base 2 primes shown at rieselprime.org but I'm leaving them in to see if there are lower primes, at least until n=25K.
I will be continuing on to n=25K after doing a little more sieving. If you've never messed around with a HUGE base before, it's a trip! Gary 
20080203, 10:33  #4 
May 2007
Kansas; USA
13×809 Posts 
Status for Riesel base 256
For Riesel base 256, I'm now up to n=17.5K. There are 51 k's remaining, which includes the removal of 8 k's with primes for n>17.5K that were found in base 2 testing at various times. Progress is very slow at effectively n=140K base 2 for this many k's.
I'll post all k's remaining once I reach n=25K. This will be a challenging one! Gary 
20080206, 22:42  #5 
May 2007
Kansas; USA
13×809 Posts 
Riesel base 256 status and released
I have tested Riesel base 256 up through n=20K. I am releasing this base to everyone now because its been quite a bit of work to get it up to n=160K base 2! I have created a new base 256 reservations web page that shows all 51 k's remaining. A few are effectively reserved by drive 2 as a result of converting from Riesel base 16.
Important note: Since the base is a power of 2, it LLRs as fast as base 2. A top5000 prime will be reached at n=41.7K. There are 51 k's remaining and I have added a sieved file for n=20K25K for all k's to the new reservations page. The file is ~36 days work due to the large # of k's and large base. I checked all for all possible base 2 conversions from www.rieselprime.org and the top5000 site and I found 8 primes for n>20K. That brought it down from 59 k's remaining. Gary 
20080217, 12:23  #6 
Sep 2005
Raleigh, North Carolina
337 Posts 
Reserving Sierp base 256 k=831 to n=50k
Last fiddled with by gd_barnes on 20100511 at 05:10 Reason: remove base <= 250 
20080218, 03:12  #7 
May 2007
Kansas; USA
2915_{16} Posts 
Thanks for clarifying Grobie. Good luck on base 256. With top5000 primes starting at n=41.7K, it won't take you long to get there!
Gary Last fiddled with by gd_barnes on 20100511 at 05:10 Reason: remove base <= 250 
20080227, 10:42  #8 
Sep 2005
Raleigh, North Carolina
337 Posts 
sierp base 256 k=831 completed to n=50k. No Primes

20080228, 19:02  #9 
May 2007
Kansas; USA
13·809 Posts 
Reserving Riesel base 256 to take all its k's from n=20K to 25K using the sieve file that I originally posted.

20080229, 04:06  #10 
May 2007
Kansas; USA
13·809 Posts 
6414*256^209391 is prime
6815*256^210661 is prime Last fiddled with by gd_barnes on 20210627 at 09:58 Reason: Add 2nd prime 
20080303, 06:36  #11 
May 2007
Kansas; USA
13·809 Posts 
Riesel base 256 completed for n=20K25K; 2 primes previously reported.
Now released. 
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