Primes of the form $an^2+bn+c$? Wondering if this has been proven or disproven. Given:
$a,b,c$ integers
$a$, $b$, and $c$ 
coprime
$a+b$ and $c$ not both even
$b^2$-$4ac$
not a perfect square
are there infinite primes of the form $an^2 + bn + c$?

Take $a = 1$, $b = 0$, $c = 1$. It is currently open whether there are infinitely many primes of the for $x^2 + 1$.
