Least quadratic non-residues in algebraic number fields

Let νp denote a totally positive integer of an algebraic number field K such that νp is a least quadratic non-residue modulo a prime ideal p of K, least in the sense that N(νp) is minimal. Then the following result is shown: For x ≥ 2 and ε > 0,

$\text{|p;Np?x}\text{and}\text{N(vp)>Np}{}^{\mathrm{\epsilon }}\text{|=O}{}_{\mathrm{\epsilon }}\text{(}\text{log log}\text{3x).}$