Infinite sets of positive integers
whose sums are free of powers
Florian Luca Mathematical Institute, UNAM, Moreila, MEXICO
Abstract.
In this short note, we construct an infinite set S of positive integers such that for all n 1 and any n distinct elements x1, . . . , xn of S the sum n x i=1 i is not a perfect power.
Palabras claves. Infinite sets of integers, perfect powers.
