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Erdős problem 333

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Let A⊆NA\subseteq \mathbb{N} be a set of density zero. Does there exist a BB such that A⊆B+BA\subseteq B+B and ∣B∩{1,…,N}∣=o(N1/2)\lvert B\cap \{1,\ldots,N\}\rvert =o(N^{1/2}) for all large NN?

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Exact provenance

Problem row
sha256:41c337cc551f9378a8bd739d402a397020e4dc267e8c56e51595f51ab7df44f1
Metadata
sha256:7fd2edb295a672f98216547c912db26f7f397af3bbf0c74e2d801d65cd68e387
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:2f9c2152f5592458550d4857ffc0168d8984b946f3226744b4521eed9336e174
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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