Fermat's Last Theorem/Historical Note/Fermat's Note

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Historical Note on Fermat's Last Theorem: Fermat's Note in Diophantus's Arithmetica

Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos et generaliter nullam in infinitum ultra quadratum potestatem in duos ejusdem nominis fas est dividere: cujus rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet.

Loosely translated from the Latin, that means:

The equation $x^n + y^n = z^n$ has no integral solutions when $n > 2$. I have discovered a perfectly marvellous proof, but this margin is not big enough to hold it.

This was written against problem $8$ of Book $\text {II}$ of Claude Bachet's Diophanti Alexandrini Arithmeticorum.