Fermat's Last Theorem over $\mathbb{Q}(\sqrt{5})$ and $\mathbb{Q}(\sqrt{17})$

Imin Chen, Aisosa Efemwonkieke, David Sun

We prove Fermat's Last Theorem over $\mathbb{Q}(\sqrt{5})$ and $\mathbb{Q}(\sqrt{17})$ for prime exponents $p\ge 5$ in certain congruence classes modulo $48$ by using a combinat…