In this paper, we shall consider an analogue of this for real quadratic
fields. Let m be a positive integer and fm(x) be a polynomial of the form
fm(x)=x2+x−m. We call a polynomial fm(x) a Rabinowitsch polynomial
if for t=[`m] and consecutive integers x=x0, x0+1, ..., x0+t−1, |f(x)|
is either 1 or prime. We shall prove the following theorems