MathDB
Quadratic Prime?

Source:

February 27, 2008
quadratics

Problem Statement

For how many positive integers n n is n^2\minus{}3n\plus{}2 a prime number? <spanclass=latexbold>(A)</span> none<spanclass=latexbold>(B)</span> one<spanclass=latexbold>(C)</span> two<spanclass=latexbold>(D)</span> more than two, but finitely many<spanclass=latexbold>(E)</span> infinitely many <span class='latex-bold'>(A)</span>\ \text{none} \qquad <span class='latex-bold'>(B)</span>\ \text{one} \qquad <span class='latex-bold'>(C)</span>\ \text{two} \qquad <span class='latex-bold'>(D)</span>\ \text{more than two, but finitely many}\\ <span class='latex-bold'>(E)</span>\ \text{infinitely many}