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Certain Prime Polynomial

Source:

April 2, 2013
algebrapolynomialquadraticsAMC 10

Problem Statement

For how many positive integers nn is n3−8n2+20n−13n^3-8n^2+20n-13 a prime number?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>more than 4<span class='latex-bold'>(A) </span>1\qquad<span class='latex-bold'>(B) </span>2\qquad<span class='latex-bold'>(C) </span>3\qquad<span class='latex-bold'>(D) </span>4\qquad<span class='latex-bold'>(E) </span>\text{more than 4}
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