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If An = Pn + 1, where Pn is the product...

If `A_n = P_n + 1`, where `P_n` is the product of the first n prime numbers, then consider the following statements :
1. `A_n` is always a composite number.
2. `A_n` + 2 is always an odd number.
3. `A_n +1` is always an even number.
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

3 only

D

2 and 3 only

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