Erdős sumset conjecture

In additive combinatorics, the Erdős sumset conjecture is a conjecture which states that if a set $A\subset \mathbb {N}$ has a positive upper density then $A$ contains the sumset $B+C$, where $B$ and $C$ are infinite subsets of $\mathbb {N}$. It was posed by Paul Erdős, and was proven in 2019 in a paper by Joel Moreira, Florian Richter and Donald Robertson.

See also

List of conjectures by Paul Erdős