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?

- Oct 28th 2009, 12:11 PMgabor7896A 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? - Oct 28th 2009, 12:37 PMBruno J.
Yes, for example $\displaystyle f(n)=4n+3$, because squares are always congruent to 1 or to 0 modulo 4.