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Erdős problem 109

Any A⊆NA\subseteq \mathbb{N} of positive upper density contains a sumset B+CB+C where both BB and CC are infinite.

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/109.lean

Formal Conjectures

FormalConjectures/ErdosProblems/109.leanErdos109.erdos_1091 lineExact file
∀ (A : Set ℕ), A.upperDensity > 0 → ∃ B C, B.Infinite ∧ C.Infinite ∧ B + C ⊆ A
SolvedStatement only, no proof

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