Authors: Philip A. Bloom
For any given positive integral n, we devise an algebraic identity that we show as holding for positive integral Fermat triples equal to (x,y,z) for which x^n+y^n=z^n holds (per our assumption). However, our algebraic identity does not hold for values of n greater or equal to three, thereby contradicting this assumption. Consequently, no positive integral (x,y,z) exists when n has values greater or equal to three.
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