Question: An integer a is even if a = 2k for some integer k. Likewise, a is odd if a = 2k + 1 for some

An integer a is even if a = 2k for some integer k. Likewise, a is odd if a = 2k + 1 for some integer k. Prove that gcd(a, a + 2) = 1 if a is odd and gcd(a, a + 2) = 2 is a is even

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