Problem

erdos:258

True ↔ ∀ (a : ℕ → ℕ), (∀ (n : ℕ), 2 ≤ a n) → Filter.Tendsto a Filter.atTop Filter.atTop → Irrational (∑' (n : ℕ), ↑(n + 1).divisors.card / ↑(∏ i ∈ Finset.Icc 1 (n + 1), a i))

Open Current State

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

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