## {2, 3, 5, 7, . . . 1789, 1801}

{2, 3, 5, 7, . . . 2203, 2207}

Meditations on the distribution of primes in the natural number sequence

{2, 3, 5, 7, . . . 2203, 2207}

Meditations on the distribution of primes in the natural number sequence

_These prints are visualizations of prime numbers as distributed in the natural number sequence. Mathematician Stanislaw Ulam discovered this phenomenon of these "strongly non-random patterns" by starting at a grid's center and assigning a natural number (1, 2, 3, . . . ) to each cell. As he spiraled outward, h marked the prime numbers so they were visually distinct from non-primes. A composition of diagonal lines emerged. This configuration is also referred to as Ulam's Cloth or Ulam's Rose. The hexagon to the right is Robert Sachs' spiral, made in the same fashion but using a hexagonal matrix rather than a typical grid.

Copyright Abigail Woods Anderson, 2015