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f89a930 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | import OAI.NumberTheory.Jacobsthal.Model
namespace OAI
namespace Erdos970.NumberTheoryLean.Targets
/-- The strengthened main theorem of Manuscript 293, revision ad16712e.
The interval, prime-factor and translation quantifiers are unchanged. -/
def JacobsthalIteratedLog : Prop :=
∃ C : ℝ, 0 < C ∧ ∀ k : ℕ, 0 < k →
∃ m : ℕ, IsJacobsthalBound k m ∧
(m : ℝ) ≤ C * (k : ℝ) ^ 2 / (Real.log (Real.log (3 * (k : ℝ)))) ^ 2
end Erdos970.NumberTheoryLean.Targets
end OAI
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