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Number Theory

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Primes in Polynomials: Finite or Infinite?

NUMTH-BMHJF1

Consider the polynomial $f(n)=n^2 -4n + 3$. Determine if the set

$$ \{ n \in \mathbb{N} : f(n) \textrm{ is prime } \} $$

is finite or infinite. Select ONE answer.

A

Finite.

B

Infinite.

C

It is impossible to determine.