## AAFrempong Conjecture

**Authors:** A. A. Frempong

The above 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. This conjecture evolved when after proving the Beal conjecture algebraically (viXra:1702.0331), the author attempted to prove the same conjecture geometrically. 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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### Submission history

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

[v2] 2017-07-15 00:24:28

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