Proof of a conjecture of Guy on class numbers

Lynn Chua, Benjamin Gunby, Soohyun Park +1

It is well known that for any prime $p\equiv 3$ (mod $4$), the class numbers of the quadratic fields $\mathbb{Q}(\sqrt{p})$ and $\mathbb{Q}(\sqrt{-p})$, $h(p)$ and $h(-p)$ respecti…