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erdos_3

Specification

If $A \subset \mathbb{N} has $\sum_{n \in A}\frac 1 n = \infty$, then must $A$ contain arbitrarily long arithmetic progressions?

Mathematics prize
Prize

$5000

Paul Erdős

Lean 4 Statement 
theorem erdos_3 : answer(sorry) ↔ ∀ A : Set ℕ,
    (¬ Summable fun a : A ↦ 1 / (a : ℝ)) →
    ∃ᶠ (k : ℕ) in Filter.atTop, ∃ S ⊆ A, S.IsAPOfLength k
ID: ErdosProblems__3__erdos_3
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