A simple proof of Fermat's Last Theorem.

Описание: Accepted for publication -
Theoretical Mathematics and Applications
The scientific press Ltd.

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by
Md Razib Talukder
ID: 071211
Mathematics Discipline, SET School
Khulna University, Khulna
Bangladesh.

For over three centuries, Fermat's Last Theorem stood as mathematics' greatest enigma—a simple riddle that defied the world's most brilliant minds. The 17th-century mathematician Pierre de Fermat claimed to have a "truly marvelous proof," but the margin of his book was too small to contain it. He took his secret to the grave, launching a 350-year quest for a solution.

In 1994, Andrew Wiles finally cracked the problem with a monumental, 100-page proof that relied on advanced, modern mathematics far beyond Fermat's own knowledge. This left a haunting question: Was Fermat lying? Or did he possess a hidden path, a stroke of genius lost to time?

In this video, I present a discovery that aims to answer that very question. I believe I have uncovered a short and elegant proof, one that aligns with the simple, cunning methods Fermat himself would have used. This is not the complex abstract mathematics of the 20th century, but a return to the roots of number theory—a logical argument of beautiful simplicity.

What will you discover in this video?

We will first journey through the history of this legendary problem, understanding why it captivated and tormented generations of mathematicians. We will explore the core principles of exponents and whole numbers that form the bedrock of the theorem, explaining the puzzle in a clear, visual way that anyone can grasp.

Then, I will unveil the proof. You will see how a fundamental property of how numbers behave when raised to powers creates an inescapable contradiction. The argument hinges on a logical paradox, a hidden imbalance that emerges when we assume a solution exists. By examining the inherent nature of odd and even, of structure and progression, we will build a chain of reasoning that leads to one inevitable conclusion: no such solutions are possible.

This is not just a solution; it is a restoration of Fermat's boast. It is the proof he might have written, a demonstration that the most profound truths can sometimes be revealed not by complexity, but by clarity and insight.

I invite you to watch with an open mind. Judge the logic for yourself. Could this be the lost marvel Fermat hinted at? Does this simple argument finally close one of history's longest and most fascinating intellectual chapters?

Join the discussion in the comments below. Do you find the proof convincing? Where do you see its strengths, and what potential weaknesses do you perceive? Let's explore this mathematical mystery together.