Question 82
For exactly four integer values of $n$ between 1 and 10, inclusive, the expression $n^{9}+3^{n+1} n^{6}+3^{3 n}$ is a prime number. What is the sum of these four values of $n$?
(A) 12
(B) 16
(C) 18
(D) 22
(E) 25
(A) 12
(B) 16
(C) 18
(D) 22
(E) 25