## A Bijection

While grading an assignment on cardinality, I ran into the answer to the following problem:

Exercise 1Show that is a bijective map .

## Polynomials

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

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

*Hint*: Look at and .

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

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