Number Theory


An Optimization Approach to Fermat's Last Theorem

Authors: Hassine Saidane

The so-called Fermat's last theorem is actually a conjecture that was proposed by Pierre de Fermat in 1637 where he stated that the Diophantine equation xn +yn = zn, with x, y, z and n being positive integers, has no nonzero solution for n > 2. This conjecture was one of the most notable unsolved problems of mathematics. It was finally proven by Wiles and R. Taylor in late 1994 at the cost of long and complex analysis using new mathematical tools that are not analytically accessible to most mathematicians. In this note, we present a short and easy to grasp solution that is based on an optimization approach.

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Submission history

[v1] 2019-12-16 11:02:37
[v2] 2019-12-18 08:03:36
[v3] 2019-12-21 09:38:26
[v4] 2019-12-21 17:51:34
[v5] 2019-12-22 03:36:32

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