2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86983A route to the derivation of the numbers $s$ to the transcendental equation $ζ(s)=0$ is presented. The solutions to this equation require the solving of a geodesic flow in an infinite dimensional manifold. These solutions enable one approach to a formula generating the prime numbers.7 pages, LaTeXGeneral Physicstext