All open problems
Source labels openChecked July 26, 2026
Erdős Problem 313: Primary Pseudoperfect Are Infinite
It is conjectured that the set of primary pseudoperfect numbers is infinite.
Mathematical statement
It is conjectured that the set of primary pseudoperfect numbers is infinite.
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_313.variants.primary_pseudoperfect_are_infinite
Complete statement target, proof intentionally absentLean 4
theorem erdos_313.variants.primary_pseudoperfect_are_infinite : Set.Infinite {n | IsPrimaryPseudoperfect n} := 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