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Fermat's last theorem states that no three positive integers a, b, and c satisfy the equation aⁿ + bⁿ = cⁿ for any integer value of n greater than 2.
- Fermat said that he had a proof of it, but that it was too long to fit in the margin, and it has never been recovered.
- It withstood a huge amount of attention from contemporary mathematicians before eventually being proven by Andrew Wiles https://www.dailymotion.com/video/x223gx8 in a complex proof that routed through fields of mathematics that did not exist in Fermat's time.
- Given that, it's likely that Fermat did not have a real proof.
- But if Fermat really had a proof, if there were really some simpler proof that contemporary mathematicians all somehow missed, this would be jarring and, personally, would assault my metaphysics and make the universe a dimmer place.
- Closes yes if a relatively simple medium-length proof that Fermat could have credibly had is found.
