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Source labels openChecked July 26, 2026
Erdős Problem 373: Suranyi
Surányi was the first to conjecture that the only non-trivial solution to a!b!=n! is 6!7!=10!.
Mathematical statement
Surányi was the first to conjecture that the only non-trivial solution to a!b!=n!
is 6!7!=10!.
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_373.variants.suranyi
Complete statement target, proof intentionally absentLean 4
theorem erdos_373.variants.suranyi : {(n, a, b) : ℕ × ℕ × ℕ | n ! = a ! * b ! ∧ 1 < n ∧ 1 < a ∧ 1 < b ∧ b ≤ a ∧ a + 1 ≠ n} = {(10, 7, 6)} := 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