- #1
MrAwojobi
- 19
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Attached is the proof.
MrAwojobi said:A simple argument shows why A^n + B^n ≠ (P+Q)^n if n is odd.
Obviously, if n is even, A^n + B^n = C^n collapses to the Pythagorean equation.
MrAwojobi said:I have revamped the proof again so that n is not required to be odd.
Fermat's Last Theorem and Beal's Conjecture are two famous mathematical problems that involve finding integer solutions to equations with exponents. Fermat's Last Theorem states that for the equation x^n + y^n = z^n, there are no integer solutions for n greater than 2. Beal's Conjecture is a similar problem but with a different equation: A^x + B^y = C^z. Both problems were first proposed by mathematicians Pierre de Fermat and Andrew Beal, respectively.
These problems are important because they have intrigued mathematicians for centuries and have been notoriously difficult to prove. They also have connections to other areas of mathematics, such as number theory and algebraic geometry.
A "simple proof" refers to a proof that is relatively easy to understand and does not require advanced mathematical concepts. In the case of Fermat's Last Theorem and Beal's Conjecture, a simple proof would involve using basic mathematical principles and techniques to prove the problems.
As of now, no simple proof has been found for these problems. The official proofs of Fermat's Last Theorem and Beal's Conjecture are complex and require advanced mathematical knowledge. However, there have been attempts at simpler proofs, but they have not been widely accepted by the mathematical community.
Even though the official proofs for these problems have been published, they are still relevant because they continue to spark interest and inspire new research in mathematics. Additionally, there are still many open questions and variations of these problems that can be explored.