he distribution of primes throughout the natural numbers is a wonderful mystery that has always entertained mathematicians—professional and amateur, genius and ordinary—yet complete understanding has eluded their attempts. The names of those who have considered the problems discussed in this article and related problems form a “mathematics hall of fame” and span at least twenty-three centuries. This list includes Euclid, Euler, Fermat, Gauss, Legendre, and so on. This article highlights some of the well-known properties of primes and explores some properties that are not as wellknown but that are accessible to anyone who understands what a prime number is and who has a healthy amount of curiosity.