Quadratic-residue conjecture for squarefree integers

Let $d$ range over square-free positive integers, and let $\left(\frac{d}{p}\right)$ denote the Legendre symbol for an odd prime $p$. Quadratic-residue conjecture. All but finitely many square-free $d$ have

$$\left(\frac{d}{p}\right)=1$$

for some odd prime $p<\frac{1}{2}\sqrt D$. The paper presents this as a conjectural reason that infinitely many $d$ should not force the normalized minimal Mahler measure to approach $1$.