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  "body": "\n## Statement\n\nIn arithmetic combinatorics, the **Erdős–Szemerédi theorem** states that for every [[finite set|070R982G4B]] $A$ of [[integers|0C4JS9RF5M]], at least one of the sets $A+A$ and $A\\cdot A$ (the sets of pairwise sums and pairwise products, respectively) form a significantly larger set. More precisely, the Erdős–Szemerédi theorem states that there exist positive constants $c$ and $\\varepsilon$ such that, for any non-empty set $A\\subset\\mathbb{N}$,\n",
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