# Problem #992

 992 For how many positive integers $n$ is $n^2-3n+2$ a prime number? $\mathrm{(A) \ } \text{none}\qquad \mathrm{(B) \ } \text{one}\qquad \mathrm{(C) \ } \text{two}\qquad \mathrm{(D) \ } \text{more than two, but finitely many}\qquad \mathrm{(E) \ } \text{infinitely many}$ This problem is copyrighted by the American Mathematics Competitions.
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