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An Ephemeral Analysis of Fermat’s Last Theory, using Diophantine Methods

Last edit: May 5th, 2024

I believe this proof is well conceived and presented in a logical form for the average math aficionado, who is interested in Fermat’s Last Theorem, but can not find the energy to read thru poorly written, boring proofs for this highly symmetrical abstract formula in Number Theory.

In general, the main FLT proof here is quite easy to follow if you have a basic understanding of prime numbers, Modulus mathematics, binomial expansion, and Fermat’s Little Theory. Only proviso, is it may take you a while to absorb, perhaps 2 or 3 hours, in 3 separate sessions. But have no fear of time well spent, I have labored to make this document sparkly and entertaining to the reader, I promise you will not suffer in reading and absorbing it.

Additionally regarding the human factor, this work of mathematical art I have been striving to finish for the last 18 months, has been somewhat analogous to writing out a 400 page novel. I am presently working on the final chapter, the climax, and am starting to relax, as I am seeing the end result in my mind.

As in any major literary work, many edits are needed, and the final form of the multiple simpler proofs which compose the complete proof will be as a hyperlinked pdf, in order to allow ease of transport between the various conceptual aspects of the simpler proofs. This concept is one I am patently aware of, as it is a fundamental improvement in absorbability of highly complex technical documents I normally need to work with, where many MB of characteristics, diagrams, tables and charts as well as written expositions on the various aspects of these arcane properties need to be developed fully. Thus we can apply the hyperlinked pdf concept to mathematical proofs with spectacular improvements in absorptiveness of the proof, not sure why I have never seen an arXiv proof in this logical format before, to use a common USA expression, it is a “no-brainer” to do so.

I am reachable at D.Ross.Randolph345@gmail.com, if you wish to critique or inspire.

This proof is best read using Adobe Reader: An Ephemeral Proof to FLT

P.S.
I have been critiqued that the proof uses too much colorful metaphor, and professional mathematicians may therefore have disdain for it. I responded with a quote by the classical esteemed mathematician, David Hilbert, regarding this connection to reality:

A mathematical theory is not to be considered complete, until you have made it so clear that you can explain it to the first man whom you meet on the street.”

Essentially, without metaphor, our connection to reality is broken, and there can be no sense in the explanation, for the common man.

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