Let \(P_1\) be the set of all primes {2,3,5,7,....} and for each integer n, let \(P_n\) be the set of all prime multiples of n {2n, 3n, 5n, 7n,....}. Which of the following intersections is nonempty?
A)\(P_1\cap P_{23}\)
B) \(P_7\cap P_{21}\)
C)\(P_{12}\cap P_{20}\)
D)\(P_{20}\cap P_{24}\)
E) \(P_5\cap P_{25}\)
Please, help

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