2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141523A classical problem in analytic number theory is to study the distribution of $αp$ modulo 1, where $α$ is irrational and $p$ runs over the set of primes. We consider the subsequence generated by the primes $p$ such that $p+2$ is an almost-prime (the existence of infinitely many such $p$ is another topical result in prime number theory) and prove that its distribution has a similar property.14 pagesNumber Theory11J71, 11N36text