Another Solution to Beal and Fermat
Ricardo Gil
Abstract
Ricardo Gil
Abstract
The Tijdeman–Zagier conjecture, also known as Beal's conjecture, is a conjecture in number theory: – If A^x+B^y=C^z, Where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor. Equivalently, There are no solutions to the above equation in positive integers A, B, C, x, y, z with A, B, and C being pairwise coprime and all of x, y, z being greater than 2.
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The Tijdeman–Zagier conjecture, also known as Beal's conjecture, is a conjecture in number theory: – If A^x+B^y=C^z, Where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor. Equivalently, There are no solutions to the above equation in positive integers A, B, C, x, y, z with A, B, and C being pairwise coprime and all of x, y, z being greater than 2.
Key concepts: Coprime integers, Fermat's Last Theorem, Number theory, Mathematics, Conjecture, Combinatorics, Prime (order theory), Beal's conjecture