The overall density of primes is known, and decreases continuously as the numbers get larger (See http://en.wikipedia.org/wiki/Prime_number_theorem http://en.wi

The overall density of primes is known, and decreases continuously as the numbers get larger (See http://en.wikipedia.org/wiki/Prime_number_theorem http://en.wikipedia.org/wiki/Prime_number_theorem) What this theorem says is that no matter how large the numbers get, no matter how sparsely the primes are spread out, on average, there will always be pairs of primes that are relatively close (within 600 of each other)