Source labels openChecked July 26, 2026

Primes of the form 2^n + 2^i + 1

*Conjecture (A81091)**: There are infinite primes of the form $2^n + 2^i + 1$ , with $0 < i < n$ .

Number theory AMS 11

Mathematical statement

*Conjecture (A81091)**: There are infinite primes of the form $2^n + 2^i + 1$ , with $0 < i < n$ .

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

conjectureA81091

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem conjectureA81091 :    answer(sorry) ↔ Set.Infinite {p : ℕ | A p} := 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 A81091background Prime Numbers with a fixed number of one bits or zero bits in their binary representationbackground