Erdős problem 1136 · problems.science

Does there exist $A\subset \mathbb{N}$ with lower density $>1/3$ such that $a+b\neq 2^k$ for any $a,b\in A$ and $k\geq 0$ ?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:76ada974a9cde5816f469250b7dd2a520d887ec3fcf4b3b2d596226f52e07a81
Metadata: sha256:4ccda6d4d780d12c0c0527907273da490d3715c97577f115a87e6881c40a66bc
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:343afa75d56b66857a76731efa42819c88e66641f5de7812a048ff954dc1f67d

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207