# Theorems ) ) ## 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.