Something strange happens when you look at the primes

In 1915, Norwegian mathematician Viggo Brun revolutionized twin prime analysis by adapting prime density results to twin prime configurations.

Prime distribution resembles an infinitely high water sprinkler—close to the source (small numbers), droplets (primes) are dense; far away (large numbers), droplets become sparse. Relative prime density decreases as we move toward infinity.

Announced by German mathematician Edmund Landau in 1912 Cambridge as one of four “unattackable” problems, the twin prime conjecture remains unsolved despite over a century of effort and young mathematicians being warned not to waste time on it.