In number theory, π(x) is the number of primes less than or equal to x. Primes are quite irregular, and so is the graph of π(x). This Demonstration shows how to use the zeros (roots) of the Riemann zeta function ξ(s) to get a smooth function that closely tracks the jumps and irregularities of π(x). This illustrates the deep connection between the zeros of the zeta function and the distribution of primesEducação Superior::Ciências Exatas e da Terra::Matemática