All open problems
Source labels openChecked July 26, 2026
Erdős ProblemsField theory and polynomials
Erdős Problem 477: X Pow Three
Probably there is no such for the polynomial .
Mathematical statement
Probably there is no such for the polynomial .
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_477.variants.X_pow_three
Complete statement target, proof intentionally absentLean 4
theorem erdos_477.variants.X_pow_three : letI f := X ^ 3 ∀ A : Set ℤ, ∃ z, ¬ ∃! a ∈ A ×ˢ (f.eval '' {n | 0 < n}), z = a.1 + a.2 := 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