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  "body": "\n## Statement\n\nIn additive combinatorics, the **Erdős sumset conjecture** is a conjecture which states that if a subset $A$ of the [[natural numbers|0MWKJ44V5A]] $\\mathbb{N}$ 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.\n",
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