Does anyone know this Number Theory factoid? Define Prime Ratio (N) as the number of primes <=N divided by N. There are 4 prime numbers less than or equal to 10 (2,3,5,7), so the Prime Ratio(10) is 4/10 PR(11)=5/11 PR(12)=5/12 etc. Does the Prime Ratio converge as n>>infinity? Is this an open question?
Im not sure im every happy with the statement n >> infinity ill assume you mean n -> infinity. As far as I know the major convergence tests, at least, require being able to determine the nth term which isn't always possible here as you cant predict prime numbers. I cant think of a good reason why it would converge. But as I say I don't know if theres a proof i don't know all that much about very pure maths.
OK, its an obscure little Number therory question that I don't have the answer to. Thanks for showing me the --> limit symbol (I forgot about "much larger"). Primes are odd. I know that there are infinite pairs of primes where both p and p+2 are prime, so primes don't nessesarily get rarer as n gets large.
