Erdős sumset conjecture

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