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Erdős problem 1136

Does there exist A⊂NA\subset \mathbb{N} with lower density >1/3>1/3 such that a+b≠2ka+b\neq 2^k for any a,b∈Aa,b\in A and k≥0k\geq 0?
Retained from Formal Conjectures · not edited here
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Accepted in Vela Mathematics Program

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