We fixed the Lemma 3.2 which is the Lemma 3.1 in the current version.
Keyphrases: Binomial theorem, Fermat's Equation, Linear Diophantine Equations, prime numbers
@booklet{EasyChair:13661, author = {Frank Vega}, title = {A Note on Fermat's Equation}, howpublished = {EasyChair Preprint 13661}, year = {EasyChair, 2024}}