To get really blown away, consider (again if necessary) that the average spacing between neighboring primes (primes!) less than N roughly approaches ln N [1]...

To get really blown away, consider (again if necessary) that the average spacing between neighboring primes (primes!) less than N roughly approaches ln N [1]... Stunning. [1] http://en.wikipedia.org/wiki/Prime_number_theorem http://en.wikipedia.org/wiki/Prime_number_theorem