Problem

erdos:369

True ↔ ∀ (ε : ℝ), 0 < ε → ∀ (k : ℕ), 2 ≤ k → ∀ᶠ (n : ℕ) in Filter.atTop, ∃ a, n / 2 ≤ a + 1 ∧ a + k ≤ n ∧ ∀ j < k, ∀ p ∈ (a + 1 + j).primeFactors, ↑p ≤ ↑n ^ ε

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:gpt-erdossource:jayyhk-erdos-leansource:plby-lean-proofssource:vibemathed
Statement: www.erdosproblems.com

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