Authors: Zhang Tianshu
First, we classify A, B and C according to their respective odevity, and ret rid of two kinds from AX+BY=CZ. Then, affirm AX+BY=CZ such being the case A, B and C have a common prime factor by concrete examples. After that, prove AX+BY≠CZ such being the case A, B and C have not any common prime factor by the mathematical induction with the aid of the symmetric law of odd numbers after the decomposition of the inequality. Finally, reached such a conclusion that the Beal’s conjecture can hold water after the comparison between AX+BY=CZ and AX+BY≠CZ under the given requirements.
Comments: 26 Pages.
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[v1] 2014-12-02 22:18:18
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