An Extension to Fermat's Pythagorean Triangle Area Proof, and Further Doubt to His Proof of Fermat's Last Theorem

Richard Kaufman

Journal of Mathematics Research, 2024, vol. 16, issue 3, 46

Abstract: Pierre de Fermat proved that the area of a Pythagorean triangle is not a perfect square. If he also had a proof of Fermat’s Last Theorem, then he could have easily extended his triangle area proof to show that primitive Pythagorean triangles could not have an area that is a perfect cube or higher power. Because there is no record of this, we might suppose that he did not ultimately accept that he had a valid proof of Fermat’s Last Theorem.

Date: 2024
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