2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166581We prove a certain relation between Legendre's conjecture and Bertrand's postulate in terms of a certain transformation of Legendre's function phi. We show a certain property of a prime.6 pages; changed corollary in introduction; added [6] for referencesGeneral Mathematics00A05; 11A41On a certain relation between Legendre's conjecture and Bertrand's postulatetext