2 problems

Let $K=\mathbb{Q}(\sqrt{\mathfrak{d}})$ range over real quadratic fields, where $\mathfrak{d}\geq 2$ is square-free, and let $\mathcal{O}_K$ denote the ring of integers of $K$. The…

Let $K$ range over real quadratic number fields, and let $\mathcal{O}_K$ denote the ring of integers of $K$. Infinitude conjecture. It is conjectured that there are infinitely many…