20180506, 15:24  #298  
May 2004
FRANCE
560_{10} Posts 
Status for k=138847
Quote:
I am continuing this search on this k value because of the prime 138847 *2^12837931 I discovered in April 2003, using the very first LLR version (without IBDWT)! This prime was then the 10th rank in larger known primes. But, in fact, I was then very, very lucky! Indeed, the Nash weight for k=138847 is 29, which correspond to a value of Ck = 0.0476 of the Gallot weight (Cf the paper by Yves Gallot "On the number of primes in a sequence"). Then, it it is interesting to apply the formula given by Yves in page 6 of his work, to compute the expected number of primes found up to exponent N : Pi(N) ~ Ck*log2[(1.5*N+log2(k))/(1+log2(k))] Then, I find : Pi(1400000) ~ 0.80 (but there are 2 primes in this range). Pi (10000000) ~ 0.94 Pi(180000000) ~ 1.13 Pi(360000000) ~ 1.16 The only thing we are sure is 138847 is not a Riesel number, n = 33 and n = 1283793 yielding primes but the chance to find larger primes is rather small... Nevertheless, I hope to be lucky a second time... Best Regards, Jean 

20180506, 22:40  #299  
Dec 2011
After milion nines:)
1348_{10} Posts 
Quote:
So my question is: can for example candidate have weight 30 and still not to produce prime never , or prime exist, but since weight is too low, and position of prime is random, prime cannot be found so quickly. 

20180511, 15:42  #300  
May 2004
FRANCE
2^{4}×5×7 Posts 
Quote:
On the other part, a low weight value for k can be found while there exists a covering set which can be huge, or even, infinite... This possibility remains while no prime are found for this k! Regards, Jean 

20180511, 18:12  #301  
Dec 2011
After milion nines:)
2^{2}×337 Posts 
Quote:
Last fiddled with by Kosmaj on 20180526 at 00:54 

20180521, 14:54  #302 
May 2004
FRANCE
1060_{8} Posts 
Status for k=138847
Hi,
k=138847 is now tested up to n=10,222,017(3,077,139 decimal digits) ; no new prime, continuing. Regards, Jean 
20180624, 05:29  #303 
"Jiahao He"
May 2018
China
42_{10} Posts 
jocelynl Can I reserve k=1466501(=29*61*829)?
Greetings, Grotex 
20180624, 06:37  #304 
"Jiahao He"
May 2018
China
2·3·7 Posts 

20180627, 10:00  #305 
"Jiahao He"
May 2018
China
2×3×7 Posts 

20180627, 13:07  #306 
"Curtis"
Feb 2005
Riverside, CA
2^{3}×3^{2}×61 Posts 
Nobody objects to your request; you posted a question to a member who checks in perhaps 34 times a year. You shouldn't expect an answer in a week!

20180702, 13:05  #307 
May 2004
FRANCE
2^{4}·5·7 Posts 
Status for k=138847
Hi,
k=138847 is now tested up to n=10,508,433(3,163,359 decimal digits) ; no new prime, continuing. Regards, Jean 
20180828, 09:30  #308 
May 2004
FRANCE
2^{4}×5×7 Posts 
Status for k=138847
Hi,
k=138847 is now tested up to n=10,901,697(3,281,743 decimal digits) ; no new prime, continuing. Regards, Jean 
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