Is it true that for any $d \ge 4$, there exists a smooth, degree $d$ surface $X$ in $\mathbb{P}^3$ with maximal Picard rank i.e., Picard rank of $X$ equals $h^{1,1}(X)$ (another way of restating this is that the natural morphism from $H^2(X,\mathbb{Z})$ to $H^2(X,\mathcal{O}_X)$ is surjective)?