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If 3p^2 = q^2 and p and q are integers, how do I prove that 3 is a common divisor for p and q?
My attempt: q^2 is divisible by 3, so q is divisible by 3. I can't prove that p is divisible by 3.
My attempt: q^2 is divisible by 3, so q is divisible by 3. I can't prove that p is divisible by 3.