20050523, 09:54  #12 
Mar 2005
Poland
22_{16} Posts 
bad luck...
I have tested k=5865 from N=200K to N=300K, on a few machines.
It took over one week with LLR.exe, I sieved to 77billions by newpgen.exe earlier. Only one prime found, 5865*2^2613511. I expected about 36... maybe just this number wasn't so lucky. 
20050717, 04:32  #13 
Nov 2003
111000100110_{2} Posts 
BTW, I tested k=25935 from n=183500 to n=220000 and found one prime for n=219995 (already included in the table above). I don't plan to test this k any further.
I also tested k=67773 from n=183500 to n=236000 and found no primes. I have sieved to n=250000 and will stop there. 
20050919, 20:24  #14  
I quite division it
"Chris"
Feb 2005
England
31×67 Posts 
Quote:
A quick introduction: I am Chris. http://primes.utm.edu/bios/page.php?id=738 I have a limited mathmatical education and find maths very hard but very interesting. If you assume you are talking to an idiot you won't be far wrong! I have been testing the number of primes for various ks up to a few thousand for n up to 15000. Is there any link between the size and frequency of the large gaps between primes and the distribution of the factors of k? For example, will a k made from say 3*3*5*13*19*31 (Nicely grouped factors.) produce a 'smoother' distribution of primes (on average) than say 3*3*5*101*359 (Not so nice.) Also: Does including powers of numbers for the factors that make up k (eg. 3*5*5*5*19*19) affect the 'smoothness' of the distribution of the resulting primes. (Ignoring any reduced chances of finding a prime.) Regards Chris 

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