Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):

A^x + B^y = C^z

Question

Mckinney

Mathematics

9 September, 14:44

Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):

A^x + B^y = C^z

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Answers (1)

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Scarlett Nielsen · Answer 1

hmm

1⁴+2³=3²

or

1+8=9

9=9

true

no common factor except 1 (but if we count 1, ther is no way we can get something with a common prime factor since all numbers have factor of 1)

counter example is

1⁴+2³=3²

Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):A^x + B^y = C^z

Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):

A^x + B^y = C^z