Let N be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of N that is closed under addition, contains the zero element, and whose complement in N is ?nite. If n, ..., n are positive integers with gcd{n, ..., n } = 1, then the set hn, ..., 1 e 1 e 1 n i = {? n +... + ? n - ?, ..., ? ? N} is a numerical semigroup. Every numer e 1 1 e e 1 e ical semigroup is of this form. The simplicity of this concept makes it possible to state problems that are easy to understand but whose resolution is far from being trivial. This fact attracted several mathematicians like...