2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79580We show that the use of the main characteristics of the circle map leads naturally to establish a few statements on primes and pseudoprimes. In this way a Fermat's theorem on primes and some interesting properties of pseudoprimes are obtained.13 pages, no figuresHistory and OverviewNumber TheoryA merry-go-round with the circle map, primes and pseudoprimestext