20080114, 05:28  #144 
May 2007
Kansas; USA
2×71×73 Posts 

20080114, 05:57  #145 
May 2007
Kansas; USA
2·71·73 Posts 
Riesel base 16:
k=1478 and 3620 are complete to n=100K which include doublechecks to n=65K and 75K respectively. No primes. I'm unreserving them. Curtis's k=443 has completed a doublecheck to n=65K. Gary Last fiddled with by gd_barnes on 20080114 at 05:58 
20080114, 06:45  #146  
Sep 2004
UVic
2×5×7 Posts 
10947 prime found
Quote:
aka 10947*16^35687+1 results file attached. taking sievesierpbase1612243.txt continuing with other reservation 

20080114, 08:46  #147 
May 2007
Kansas; USA
2×71×73 Posts 
Geoff, I am done with analysis on most bases for k's that are multiples of the base (MOB). We are now going to include all k's that are MOB that yield a different prime for n>=1 then k / b but we will be excluding GFN's from all consideration. For Sierp base 6, the following situations exist: k=1296, 7776, and 46656 are GFn's without a prime and are eliminated from consideration. k=90546 is the only k remaining at n=10K that I found that does not have a prime but whose prime will be different than k / b = 90546 / 6 = 15091. That is 15091*6^1+1 is prime. I am assuming your total of 95 k's remaining excluded k's that are multiples of the base. So on the web pages that will be updated shortly, you'll see 96 k's remaining at n=8K. If you could, please add k=90546 to your testing starting at n=10K. Alternatively, I can just put it on the reservation page for people to pick up at a later time. Thanks, Gary 
20080114, 08:55  #148  
May 2007
Kansas; USA
2×71×73 Posts 
Quote:
Keep those primes coming! I just wanted to give you a heads up here. Beginning on Monday, the project will be including k's that are a multiple of the base (MOB) but where the k yields a different prime for n>=1 than k / b but it will be excluding Generalized Fermat #'s (GFn's) from all consideration. I am doing analysis on all bases for these issues but there are a few more difficult ones that I wasn't able to do yet. Base 31 is one of them. The web pages are being updated right now. If you would like to do some analysis on base 31 for this issue, let me know. I have found the impact to be minimal for most bases. As an example, for Sierp base 6 with a conjecture of k=174308, there were 3 GFn's without a prime that were eliminated and only ONE k remaining without a prime at n=10K that was a MOB and will yield a different prime than k / b. I can take care of this but if you'd like to try it, that works for me. If there are any questions, let me know. Thanks, Gary Last fiddled with by gd_barnes on 20080114 at 09:04 

20080114, 09:36  #149 
May 2007
Kansas; USA
10366_{10} Posts 
Michaf,
I've done analysis on Sierp base 24 for k's that are multiples of the base. The only one that needs a prime is k=17496. I tested it up to n=6.5K and changed the # of k's remaining from 172 to 173. Can you test it starting from n=6.5K? If not, I can put it up for reservation. Thanks, Gary 
20080114, 20:43  #150  
Jan 2005
479 Posts 
If you meant all the 0 mod 31's that I left out:
It was a massive amountof 2 numbers: 28458 > 918 69998 > 2258 918*31^175041 is prime, so 2848*31^175031 is prime too. What baffles me, is that I have no record of a prime for 2258 I also have not found it in 1mod2, 1mod3 or 1mod5. duh...just noticed that 2258*31^11 is prime :> which was the problem in the first place. So this amounts to one problematic number, I will incorporate it in my search, Quote:


20080114, 22:17  #151  
May 2007
Kansas; USA
2×71×73 Posts 
Quote:
Great! Yes, the n=1 primes are the potential problems for k * b (as well as n=2/n=3/other low primes for k * b^q). I'll add k=69998 to the pages for Riesel base 31. Since k=2258 was eliminated immediately, I'll show k=69998 reserved by you and tested to n=0K. Thanks for taking care of that! Gary 

20080115, 00:40  #152 
Sep 2004
UVic
2·5·7 Posts 
12243 prime found
12243*2^198772+1 is prime! Time: 53.926 sec.
aka 12243*16^49693+1 results file attached. 
20080115, 00:42  #153 
Sep 2004
UVic
2·5·7 Posts 
completed reservation for 10183
no prime results file attached. taking: sievesierpbase1613438.txt sievesierpbase1614910.txt Last fiddled with by tcadigan on 20080115 at 00:46 
20080115, 02:34  #154  
Mar 2003
New Zealand
10010000101_{2} Posts 
Sierpinski base 6 status
Quote:
Now 60k remain at n=25K. I should be finished to n=30K by the 17th Jan. 

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