Quote Originally Posted by TriLogic View Post
As the ratio of prime numbers diminishes in relation to increase in numbers then we would have to project eventual 0% --> infinity. But it is proven that primes are infinite and we have no reason to believe that the ratio will ever become fixed. So what happens after .001% as N --> infinity.
That may be true as long as the curvilinear function is continuous and you can wait forever. But, let's be realistic. Assume we can calculate primes for several years with today's high speed computers as Storm is doing. Then go up a notch and use a Cray. I have a feeling that you would still never obtain in your lifetime a ratio of (Number of Primes / Largest Prime) that was less than 0.05.

I am judging this based on Storm's findings alone, and that's rather good empirical evidence. Can anyone find a published discussion of this ratio: (Number of Primes / Largest Prime)? If so, what is your conclusion?