2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111628In this article an upper bound for the first consecutive zeros of the Fermat quotient is given in terms of the zeros of a Mirimanoff polynomial. This bound is obtained by investigating a relation between these polynomials and the factor system of Gauss sums of a certain number field.8 pagesNumber Theorytext