2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123624We present an elementary inductive proof which Euler could have obtained, for the corresponding result as the title indicates, had he refined a bit his proof for Fermat's assertion on representing primes as two squares.7 pages, no figures. Version 2: Revised as suggested by the refereesNumber Theory11A41Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missedtext