Theorems

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Fermat's Last Theorem

Fermat's Last Theorem states the absence of non-trivial integer solutions to the equation:

$x^n + y^n = z^n$

Namely, it seemed there are no integer solutions except for the trivial ones that set $n$ to 1

This is easily stated but has proved to be one of the most vexing problems in the whole history of mathematics.

and the search for a proof led to the development of whole new branches of mathematics, but it was only in the last decade of the 20th century that Andrew Wiles finally completed the task.

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Fermat's Last Theorem

Fermat's Last Theorem states the absence of non-trivial integer solutions to the equation:

x^n + y^n = z^n

Namely, it seemed there are no integer solutions except for the trivial ones that set

n

to 1

This is easily stated but has proved to be one of the most vexing problems in the whole history of mathematics.

and the search for a proof led to the development of whole new branches of mathematics, but it was only in the last decade of the 20th century that Andrew Wiles finally completed the task.