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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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apologiabiology

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

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