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arXiv · 2108.08572

Beyond and slightly aside of the Fermat Desert

Boris Bartolomé·Preda Mihailescu
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Abstract

We give a cyclotomic proof of the fact that the equation $\frac{x^p + y^p}{x+y} = p^e z^p$ has no solutions in coprime integers $x,y,z$ and $p > 3$, a prime. This implies in particular Fermat's Last Theorem.

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Boris Bartolomé, Preda Mihailescu. 2021-08-19. Beyond and slightly aside of the Fermat Desert. https://arxiv.org/abs/2108.08572

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