A bit of Math:
German mathematician Carl Friedrich Gauss - April 30, 1777 - 1855…
Among his many contributions is the formulation of the prime number theorem:
The prime number theorem states that if a random number nearby some large number N is selected, the chance of it being prime is about 1 / ln(N), where ln(N) denotes the natural logarithm of N. For example, near N = 10,000, about one in nine numbers is prime, whereas near N = 1,000,000,000, only one in every 21 numbers is prime. In other words, the average gap between prime numbers near N is roughly ln(N).
Etching of Gauss by Siegfried Detlev Bendixen, 1828