feat(ErdosProblems): 1139 #1890
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Paul-Lez
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Jan 26, 2026
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Paul-Lez
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Paul-Lez
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Thanks for the PR! A few minor comments:
| @[category research open, AMS 11] | ||
| theorem erdos_1139 : | ||
| answer(sorry) ↔ | ||
| let u := Nat.nth (fun n ↦ 0 < n ∧ Ω n ≤ 2) |
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| let u := Nat.nth (fun n ↦ 0 < n ∧ Ω n ≤ 2) | |
| letI u := Nat.nth (fun n ↦ 0 < n ∧ Ω n ≤ 2) |
| theorem erdos_1139 : | ||
| answer(sorry) ↔ | ||
| let u := Nat.nth (fun n ↦ 0 < n ∧ Ω n ≤ 2) | ||
| atTop.limsup (fun k : ℕ ↦ (((u (k + 1) : ℝ) - (u k : ℝ)) / Real.log ↑k : EReal)) = ⊤ := by |
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I think the indexing may need to be shifted by 1 in some places here (in the denominator?): the u sequence in the informal version starts a 1 while in the formal version it starts at 0.
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Formalizing Erdos Problem 1139: https://www.erdosproblems.com/1139