User:MarkH21/Fermat's Last Theorem sandbox

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Fermat's Last Theorem
The 1670 edition of Diophantus's Arithmetica includes Fermat's commentary, referred to as his "Last Theorem" (Observatio Domini Petri de Fermat), posthumously published by his son.
Field	Number theory
Statement	For any integer $n > 2$ , the equation $a n + b n = c n$ has no positive integer solutions $(a, b, c)$ .
First stated by	Pierre de Fermat
First stated in	c. 1637
First proof by	Andrew Wiles
First proof in	Released 1994 Published 1995
Implied by	Effective abc conjecture Effective modified Szpiro conjecture Modularity theorem
Generalizations	Beal conjecture Fermat–Catalan conjecture