All open problems
Source labels openChecked July 26, 2026
Numbers $n$ such that $n^2 + \pi(n)$ is prime.: Infinite
Conjecture: the sequence A228828 is infinite.
Mathematical statement
Conjecture: the sequence A228828 is infinite.
Statement source: OEIS statement material
Statement terms: CC-BY-SA-4.0
Attributed source material. Reuse must follow the linked attribution and share-alike terms.
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
a.infinite
Complete statement target, proof intentionally absentLean 4
theorem a.infinite : {a n | n}.Infinite := 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