Asked by Arthur

x and y are positive integers such that 6^x + 2^y + 2 is a perfect square. Find all possible values of x and y.

Answers

Answered by Steve
aside from 6^2 + 2^6 = 10^2

I can't think of any others. My number theory skills are not sufficient for me to come up with a proof. What unit are you studying for this? It might give me a clue.
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