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legendre_conjecture

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Does there always exist at least one prime between consecutive perfect squares?

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Lean 4 Statement 
theorem legendre_conjecture :
    answer(sorry) ↔ ∀ n ≥ 1, ∃ p ∈ Set.Ioo (n ^ 2) ((n + 1) ^ 2), Nat.Prime p
ID: Wikipedia__LegendreConjecture__legendre_conjecture
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