Source labels openChecked July 26, 2026

Erdős Problem 1209: D

Are there $n$ such that $n+2^{2^k}$ is infinitely often squarefree?

Number theory AMS 11

Mathematical statement

Are there $n$ such that $n+2^{2^k}$ is infinitely often squarefree?

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_1209.parts.iii.d

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_1209.parts.iii.d :    answer(sorry) ↔ ∃ n : ℕ, {k | Squarefree (n + 2 ^ (2 ^ k))}.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

Pinned Formal Conjectures sourceformalization erdosproblems.com/429background erdosproblems.com/1102background erdosproblems.com/1209background