# Math Help - A non-constant polynomial which always takes non-square integers

1. ## A non-constant polynomial which always takes non-square integers

Hi!
I can't solve this problam:

Does there exist a non-constant polynomial which always takes non-square integers at integer values of the variables?

How can I prove the solution?

2. Yes, for example $f(n)=4n+3$, because squares are always congruent to 1 or to 0 modulo 4.