Problem

erdos:464

True ↔ ∀ (n : ℕ → ℕ), StrictMono n → (∀ (k : ℕ), 0 < n k) → IsLacunary n → ∃ θ, Irrational θ ∧ ¬Dense (Set.range fun k => ↑(θ * ↑(n k)))

Open Current State

Declared status: proved (Lean)
Formalization: formalized
Subjects: number theory
OEIS: N/A
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjecturessource:jayyhk-erdos-lean
Statement: www.erdosproblems.com

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