3 problems

Let $f(n)$ denote the number of isomorphism classes of finite groups of order $n$. Surjectivity conjecture. For every positive integer $m$, there exists an integer $n$ such that ……

Let $f(n)$ be the number of isomorphism classes of groups of order $n$, and let $\lambda$ be the number of prime divisors of $n$, counted with multiplicities. McIver–Neumann conjec…

Enumeration conjecture.