Number Theory


AAFrempong Conjecture

Authors: A. A. Frempong

The above conjecture evolved when after proving the Beal conjecture algebraically (viXra:1702.0331), the author attempted to prove the same conjecture geometrically. The new conjecture states that if A^x + B^y = C^z, where A, B, C, x, y, z are positive integers, x, y, z > 2, and A ≠ B ≠ C ≠ 2, then A, B and C cannot be the lengths of the sides of a triangle. A proof of the above conjecture may shed some light on the relationships between similar equations and the lengths of the sides of polygons. Counterexamples could be added to the exceptions.

Comments: 2 Pages. Copyright © by A. A. Frempong

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[v1] 2017-04-29 21:17:45

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