Can anyone explain what is meant by distribution of prime numbers?
In simple terms, this refers to how prime numbers are spread throughout all the numbers. We know there are infinitely many primes, and that the primes “thin out” as the numbers get larger. That spread, or distribution, is of central importance in number theory. It has been proved that the proportion of primes less than x is asymptotically equal to x/ln x. That means, if you track the proportion of primes less than x as x becomes very large, the proportion will approach this fraction.
