Elements with unique length factorization of a numerical semigroup generated by three consecutive numbers

Pedro A. García-Sánchez, Laura González, Francesc Planas-Vilanova

Let $S$ be the numerical semigroup generated by three consecutive numbers $a,a+1,a+2$, where $a\in \mathbb{N}$, $a\ge 3$. We describe the elements of $S$ whose factorizations have…