Erdős problem 333 · problems.science

Let $A\subseteq \mathbb{N}$ be a set of density zero. Does there exist a $B$ such that $A\subseteq B+B$ and $\lvert B\cap \{1,\ldots,N\}\rvert =o(N^{1/2})$ for all large $N$ ?

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Erdős AI contributions wiki · 25 Dec, 2025
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