AMC 10 Step by Step

2002 AMC 10BProblem 6P1-10~2 minPrint

Primes Quadratics Apply an identity: SFFT, sum of squares, difference of cubes, Vieta Use an invariant, parity, or coloring argument

For how many positive integers $n$ is $n^2 - 3n + 2$ a prime number?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2002 12B #3.