Version 1
: Received: 23 September 2024 / Approved: 23 September 2024 / Online: 23 September 2024 (10:23:21 CEST)
How to cite:
Ayodele, G. E.; Oshinubi, K.; Ayodele, O. A New Approach to Fermat’s Last Theorem with Several Examples. Preprints2024, 2024091744. https://doi.org/10.20944/preprints202409.1744.v1
Ayodele, G. E.; Oshinubi, K.; Ayodele, O. A New Approach to Fermat’s Last Theorem with Several Examples. Preprints 2024, 2024091744. https://doi.org/10.20944/preprints202409.1744.v1
Ayodele, G. E.; Oshinubi, K.; Ayodele, O. A New Approach to Fermat’s Last Theorem with Several Examples. Preprints2024, 2024091744. https://doi.org/10.20944/preprints202409.1744.v1
APA Style
Ayodele, G. E., Oshinubi, K., & Ayodele, O. (2024). A New Approach to Fermat’s Last Theorem with Several Examples. Preprints. https://doi.org/10.20944/preprints202409.1744.v1
Chicago/Turabian Style
Ayodele, G. E., Kayode Oshinubi and Olamide Ayodele. 2024 "A New Approach to Fermat’s Last Theorem with Several Examples" Preprints. https://doi.org/10.20944/preprints202409.1744.v1
Abstract
These counterexamples have shown the relationships between the power of a Pythagorean equation and Pythagorean’s triples. There are three positive integers that satisfy Fermat’s equation when the power n is equal to 2 in the case of the Pythagorean theorem and it’s applicable relationships in right triangles. On the other hand, as the power varies from positive to negative integers or any integers other than 2, such as in the case of Fermat’s last theorem, the hypotenuse z of a right triangle tends to be equal to one of the sides x or y of the triangle and the other side tends to be equal to zero. And the application of this idea describes the behavior of a mass object in motion. Since the total energy of the object is the sum of its energy in motion and its rest energy, at a particular power n, the total energy of the object tends to be equal to either the rest energy or the photon energy.
Keywords
Fermat’s last theorem Pythagorean’s triples; right triangle; nth root theorem; Pythagorean’s equation; mass-momentum energy
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.