Problem

erdos:316

False ↔ ∀ (A : Finset ℕ), 0 ∉ A → 1 ∉ A → ∑ n ∈ A, 1 / ↑n < 2 → ∃ A₁ A₂, Disjoint A₁ A₂ ∧ A = A₁ ∪ A₂ ∧ ∑ n ∈ A₁, 1 / ↑n < 1 ∧ ∑ n ∈ A₂, 1 / ↑n < 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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