Problem

erdos:844

True ↔ ∀ (N : ℕ), IsGreatest {k | ∃ A ⊆ Finset.Icc 1 N, (∀ a ∈ A, ∀ b ∈ A, ¬Squarefree (a * b)) ∧ A.card = k} (Erdos844.evenOrOddNonSquarefree N).card

Open Current State

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

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