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Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 1057

Is it true that C(x)=x1o(1)C(x)=x^{1-o(1)}?

Mathematical statement

Is it true that C(x)=x1o(1)C(x)=x^{1-o(1)}?

This is discussed in problem A13 of Guy's collection [Gu04].

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_1057

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_1057 :    answer(sorry)  Tendsto (fun x  Real.log (carmichaelCounting x) / Real.log x) atTop (𝓝 1) := 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