| 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 | |