2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137045In this paper we review the properties of families of numbers of the form $6n\pm1$, with $n$ integer (in which there are all prime numbers greater than 3 and other compound numbers with particular properties) to later use them in a new sieve that allows the separation of numbers $n$ that generate primes from those that only generate compounds. In principle, this can be used to find the amount of prime numbers up to a given number $h$; this means, $π(h)$.5 pages, no figures, 2 tablesGeneral Mathematics11A41, 11N35, 11N80text