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Source labels openChecked July 26, 2026
Erdős Problem 770: Iii
Is it true that if p is the greatest prime such that p - 1 ∣ n and p > n ^ ε, then h n = p?
Mathematical statement
Is it true that if p is the greatest prime such that p - 1 ∣ n and p > n ^ ε, then
h n = p?
Statement source: Erdős Problems statement material
Statement terms: Source-specific
Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
erdos_770.parts.iii
Complete statement target, proof intentionally absentLean 4
theorem erdos_770.parts.iii : answer(sorry) ↔ ∀ ε > 0, ∀ᶠ n in atTop, let p := sSup {m : ℕ | m.Prime ∧ m - 1 ∣ n} p > (n : ℝ) ^ (ε : ℝ) → h n = p := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References