2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129490This paper provides a proof of a LLT-like test for Fermat numbers, based on the properties of Lucas Sequences and on the method of Lehmer.11 pagesNumber TheoryHistory and Overview11A51, 11B39 (Primary) 11-03, 01A55, 01A60 (Secondary)A LLT-like test for proving the primality of Fermat numberstext