Fermat's last theorem

Fermat's last theorem (sometimes abbreviated as FLT and also called Fermat's great theorem) is one of the most famous theorems in the history of mathematics. It states that:

Early history

The theorem needs only to be proven for n=4 and in the cases where n is a prime number.{{ref|simple}} For various special exponents n, the theorem had been proven over the years, but the general case remained elusive.

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Fermat himself proved the case n=4, while Euler proved the theorem for n=3. The case n=5 was proved by Dirichlet and Legendre in 1825, and the case n=7 by Gabriel Lamé in 1839.

Related Topics:
Euler - Dirichlet - Legendre - 1825 - Gabriel Lamé - 1839

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In 1983 Gerd Faltings proved the Mordell conjecture, which implies that for any n > 2, there are at most finitely many coprime integers a, b and c with an + bn = cn.

Related Topics:
1983 - Gerd Faltings - Mordell conjecture - Coprime - Integer

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