erdos_26.variants.tenenbaum

Specification

Tenenbaum asked the weaker variant where for every $\epsilon>0$ there is some $k=k(\epsilon)$ such that at least $1-\epsilon$ density of all integers have a divisor of the form $a+k$ for some $a\in A$.

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Lean 4 Statement

theorem erdos_26.variants.tenenbaum : answer(sorry) ↔ ∀ᵉ (A : ℕ → ℕ), StrictMono A → IsThick A →
    (∀ ε > (0 : ℝ), ∃ k, IsWeaklyBehrend (A · + k) ε)

ID: ErdosProblems__26__erdos_26.variants.tenenbaum

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