The infinitude of $\mathbb{Q}(\sqrt{-p})$ with class number divisible by $16$

Djordjo Milovic

The density of primes $p$ such that the class number $h$ of $\mathbb{Q}(\sqrt{-p})$ is divisible by $2^k$ is conjectured to be $2^{-k}$ for all positive integers $k$. The conjectur…