The sum of four prime numbers of two digits is 204. The sum of the first and last i.e, `(p_1 + p_4)` is same as the sum of second number `p_2` and third number `p_3` (i.e., `p_2 + p_3`). Again `p_3 - p_2 = 2 (p_2 - p_1) = 2 (p_4 - p_3)`. The average number of all the four numbers is not a prime number, but a product of two prime numbers one of these prime numbers (out of four) is :

Options

A. 23
B. 89
C. 71
D. can't be determined

Answer

C