2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213785Let $η$ be a quadratic irrationality. The variant of Hua Loo Keng's problem involving primes such that $a<\{ηp^2\}<b$, where $a$ and $b$ are arbitrary real numbers of the interval $(0,1)$, solved in this paper.Number Theory11L07Hua Loo Keng's Problem Involving Primes of a Special Typetext