Number Theory

    

Beal’s Conjecture is Tenable

Authors: Zhang Tianshu

In this article, first classify A, B and C according to their odevity, and thereby get rid of two kinds of AX+BY≠CZ. Then, affirm that there are AX+BY=CZ in which case A, B and C have a common prime factor by several concrete equalities. After that, prove that there are AX+BY≠CZ where A, B and C have not a common prime factor by the mathematical induction with the aid of interrelations of 3 integers relating to symmetry after divide AX+BY=CZ in four. Finally, reach the conclusion that Beal’s conjecture is tenable via the comparison between AX+BY=CZ and AX+BY≠CZ under the given requirements.

Comments: 20 Pages.

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Submission history

[v1] 2020-02-26 09:04:38

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