Number Theory

   

Ingenious Proof of Fermat's Last Theorem

Authors: A. A. Frempong

An ingenious proof of Fermat's Last theorem has been covered in this paper. Fermat's Last theorem states that if A, B, C, n are positive integers; A, B, and C are coprime, and n > 2, then the equation A^n + B^n = C^n, has no solutions. The principles applied in the proof are based on the properties of the factored Beal equations. However, the proof is by contradiction. The main principle for obtaining relationships between the prime factors on the left side of the equation and the prime factor on the right side of the equation is that the greatest common power of the prime factors on the left side of the equation is the same as a power of the prime factor on the right side of the equation. High school students can learn and prove this theorem as a bonus question on a final class exam.

Comments: 9 Pages. Copyright © by A. A. Frempong

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Submission history

[v1] 2020-03-14 02:32:08
[v2] 2023-07-08 22:49:57
[v3] 2023-07-19 05:12:55

Unique-IP document downloads: 362 times

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