Source labels openChecked July 26, 2026

Erdős Problem 349

It seems likely that the sequence is complete for all for all $t>0$ and all $1 < \alpha < \frac{1+\sqrt{5}}{2}$ .

Number theory AMS 11

Mathematical statement

It seems likely that the sequence is complete for all for all $t>0$ and all $1 < \alpha < \frac{1+\sqrt{5}}{2}$ .

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

complete_for_alpha_in_Ioo_one_to_goldenRatio

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem complete_for_alpha_in_Ioo_one_to_goldenRatio (t α : ℝ) (ht : 0 < t)    (hα : α ∈ Set.Ioo 1 ((1 + √5) / 2)) : IsGoodPair t α := 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/349background