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Problem

Using simple mathematical operators (+,- ,> etc.) can it be shown that (assuming $ x) Fermat’s theorem is always true when $ n\ge x$

Request I am sure this approach has been discussed somewhere earlier. If anyone therefore could either direct me to such resource of discussion or show the proof. I have also developed a proof which I shall share tomorrow for a review.

1 Answers 1

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$x^n=z^n-y^n=(z-y)(z^{n-1}+yz^{n-2}+\cdots+y^{n-1})\ge ny^{n-1}\gt xx^{n-1}$ contradiction.

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    You're asking whether there's any discussion of Fermat's equation when $n\lt x$? Considering that we've done the $n\ge x$ case by school algebra, I'd say every serious discussion of Fermat, including the work of Wiles, is a discussion of what happens when $n\lt x$. But perhaps I misunderstand your question.2012-08-12