Problem

erdos:299

False ↔ ∃ a, StrictMono a ∧ (∀ (n : ℕ), 0 < a n) ∧ (fun n => ↑(a (n + 1)) - ↑(a n)) =O[Filter.atTop] 1 ∧ ∀ (S : Finset ℕ), ∑ i ∈ S, 1 / ↑(a i) ≠ 1

Open Current State

Declared status: disproved (Lean)
Formalization: formalized
Subjects: number theoryunit fractions
OEIS: N/A
Sources: source:erdos-problemssource:formal-conjecturessource:jayyhk-erdos-leansource:plby-lean-proofs
Statement: www.erdosproblems.com

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