Parker Glynn-Adey

Polynomials

Posted in Math by pgadey on 2013/03/01

Brandon Hanson told me the following elementary number theory problems last night.

Exercise 1 Every non-constant polynomial takes on a composite value.

Hint: Look at {f(x) = p} and {f(kp + x)}.

Exercise 2 If a non-constant polynomial takes on infinitely many prime values then it is irreducible.