2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63803We found a regularity of the behavior of primes that allows to represent both prime and natural numbers as infinite matrices with a common formation rule of their rows. This regularity determines a new class of infinite cyclic groups that permit the proposition a plane--spiral geometric concept of the arithmetic.38 pages, 10 figures, 1 Table. Readability is improvedGeneral Mathematics11N05, 11N35, 65D07text