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SOLVED
Any $A\subseteq \mathbb{N}$ of positive upper density contains a sumset $B+C$ where both $B$ and $C$ are infinite.
#109
:
[ErGr80]
additive combinatorics
The
Erdős sumset conjecture
. Proved by Moreira, Richter, and Robertson
[MRR19]
.
Additional thanks to
: Antonio Girao
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