Source labels openChecked July 26, 2026

Smallest number k such that kn + 1 is prime

Conjecture: $a(n) = O(\log(n)\log(\log(n)))$ .

Number theory AMS 11

Mathematical statement

Conjecture: $a(n) = O(\log(n)\log(\log(n)))$ .

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_isBigO

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem a_isBigO : (fun n ↦ (a n : ℝ)) =O[atTop] (fun n ↦ Real.log n * Real.log (Real.log 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

Pinned Formal Conjectures sourceformalization A34693background