AMC 12B 2009 Problem 19

Past Contests AMC 12 AMC 12B - 2009
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1

For each positive integer n, let f(n)=n^{4}-360 n^{2}+400. What is the sum of all values of f(n) that are prime numbers?

Answer Choices
A. 794
B. 796
C. 798
D. 800
E. 802