On a Problem of Erdős and Sárközy
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Let A={a1, a2, …}
N and put A(n)=∑ai≤n1. We say that A is a P-set if no element ai divides the sum of two larger elements. It is proved that for every P-set A with pairwise co-prime elements the inequality A(n)<2n2/3 holds for infinitely many n
N.
N and put A(n)=∑ai≤n1. We say that A is a P-set if no element ai divides the sum of two larger elements. It is proved that for every P-set A with pairwise co-prime elements the inequality A(n)<2n2/3 holds for infinitely many nN.