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In this paper, we begin the study of the Fermat equation $x^n+y^n=z^n$ overreal biquadratic fields. In particular, we prove that there are no non-trivialsolutions to the Fermat equation over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ for$n\geq 4$.

Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$