The numbers \(D, N,\) and \(P\) are positive integers, such that \(D < N,\) and \(N\) is not a power of \(D.\) Is \(D\)

[VJesus12]

The numbers \(D, N,\) and \(P\) are positive integers, such that \(D < N,\) and \(N\) is not a power of \(D.\) Is \(D\) a prime number?

(1) \(N\) has exactly four factors, and \(D\) is a factor of \(N.\)
(2) \(D = 3^P + 2\)

Answer: C

Source: Magoosh