If \(m\) and \(n\) are positive integers and \(mn = k,\) is \(m + n = k + 1?\)

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If \(m\) and \(n\) are positive integers and \(mn = k,\) is \(m + n = k + 1?\)

(1) \(m = 1\)

(2) \(k\) is a prime number.

Answer: D

Source: GMAT Prep