Prime Spirals

Precisely defined yet enticingly elusive, prime numbers occupy a central place in number theory. Evenly divisible only by themselves and 1, these special integers–2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, and so on–pose all sorts of conundrums.

In a square grid, numbering squares instead of line intersections serves as a more convenient square-spiral representation of the integers.