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Fermat's Lifetime
In Fermat's lifetime he proved the case when n=4 -
Fermat's Conjecture
Fermat's initial conjecture of Fermat's Last Theorem -
Euler's Proof
Euler proved Fermat's Last Theorem for the case n=3 -
Lejeune Dirichlet's Proof
Lejeune Dirichlet proved Fermat's Last Theorem for the case n=5 -
Adrien Marie Legendre's Proof
Adrien Marie Legendre proved Fermat's Last Theorem for the case n=5 -
Gabriel Lame's Proof
Gabriel Lame proved Fermat's Last Theorem for the case n=7 -
Proof for all n < 125,000
With the use of a computer, Fermat's Last Theorem was proved for all n < 125,000 -
Yoichi Miyaoka's Proof
Yoichi Miyaoka proved Fermat's Last Theorem in an arithmetic algebraic geometric way which made this proof easier for the public to understand. There were flaws in this proof. -
Andrew Wiles and Richard Taylor Proof
Finally in 1995 a valid proof of Fermat's Last Theorem was presented and publish in the Annals of Mathematics