Pythagorean Triples, B\'ezout Coefficients and the Erdos-Straus Conjeceture
Abstract
This paper is a preliminary expository paper that outlines the relationship between solutions to the Erdos-Straus conjecture for a given prime p and their corresponding Pythagorean triples. This paper also uses B\'ezout Coefficients to find a relationship between the solutions to the conjecture and roots of a second degree polynomial.
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