Polynomials with range containing an arithmetic progression

112 Views Asked by At

Can I find a polynomial in a second degree in two variables from the values of which can be found an infinite arithmetic progression? Thank you!

1

There are 1 best solutions below

3
On

Try $$f(x,y)=x^2-y^2$$ with a suitable dependence between $y$ and $x$.

$y=x-1$.