Simple Proof of Fermat's Last Theorem and Beal's Conjecture

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Discussion Overview

The discussion revolves around a proposed proof of Fermat's Last Theorem and Beal's Conjecture, with participants sharing various iterations and arguments related to the proof's validity and assumptions. The scope includes theoretical aspects and mathematical reasoning.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant claims to have attached a proof of Fermat's Last Theorem.
  • Another participant notes that the proof requires n to be odd and that A and B are not necessarily integers, suggesting amendments to the proof.
  • A simple argument is proposed to show why A^n + B^n ≠ (P+Q)^n if n is odd, but a request for this argument is made by another participant.
  • There is a mention that if n is even, A^n + B^n = C^n relates to the Pythagorean theorem, but one participant expresses confusion and requests a proof for this statement.
  • One participant indicates they have revised the proof to not require n to be odd.
  • Another participant challenges a statement regarding common prime factors, asserting it is merely a restatement of Beal's conjecture without proof.
  • A participant mentions adding an extra paragraph to their article to provide further explanations for their claims.

Areas of Agreement / Disagreement

Participants express differing views on the validity and completeness of the proof, with some requesting additional clarification and proof for specific claims. The discussion remains unresolved with multiple competing perspectives on the proof's assumptions and implications.

Contextual Notes

There are limitations regarding the assumptions made about the nature of A, B, and n, as well as unresolved mathematical steps in the proposed proofs. The discussion also highlights the dependence on definitions related to Beal's conjecture.

MrAwojobi
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Attached is the proof.
 

Attachments

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I forgot to mention that n is odd and A and B are not necessarily integers in the transformation. This slight ammendments are in this new attachment.
 

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MrAwojobi said:
A simple argument shows why A^n + B^n ≠ (P+Q)^n if n is odd.

Please provide this argument. I mean, I can give proofs like this to. You simply leave out the hard part...


Obviously, if n is even, A^n + B^n = C^n collapses to the Pythagorean equation.

I do not see this. Please provide a proof...
 
I have revamped the proof again so that n is not required to be odd.
 

Attachments

MrAwojobi said:
I have revamped the proof again so that n is not required to be odd.

The statement "it should be clear that since the coefficients referred to previously are set in a particular way for each part, the only way they can equal each other is if C and B and therefore A have a common prime factor" is not proven. It is merely a restatement of Beal's conjecture.
 
ramsey2879

I have added an extra paragraph to my article and this offers more explanations to my claims.
 

Attachments

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