2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166853This is a survey article on the Hardy-Littlewood conjecture about primes in quadratic progressions. We recount the history and quote some results approximating this hitherto unresolved conjecture.six(6) pages, minor changes were madeNumber Theory11L07, 11L20, 11L40, 11N13, 11N32, 11N37text