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2005-09-19, 20:24   #14
Flatlander
I quite division it

"Chris"
Feb 2005
England

31·67 Posts

Quote:
 Originally Posted by lsoule ... It looks like the # of primes found in 0-10k isn't always a good predictor of larger primes (unless the range happens to hit the arbitrarily large gaps between primes...). Any pointers here? thanks, Larry
Hi
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