Abstract: This paper presents a concise and elementary proof of Fermat's Last Theorem, whichasserts that the Diophantine equation x^n +y^n =z^n has no non-trivial solutions forany integer n greater than 2. The proof outlined in this work relies solely on elementarymathematical methods, providing a clear and accessible demonstration of thetheorem's validity. By employing fundamental mathematical principles, we illuminatethe impossibility of non-trivial solutions, thereby contributing to the comprehension of this famous conjecture. ...
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