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Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 912: Tao

A heuristic of Tao using the Cramér model for the primes suggests this is true with c=2πc=\sqrt{2\pi}.

Mathematical statement

A heuristic of Tao using the Cramér model for the primes suggests this is true with c=2πc=\sqrt{2\pi}.

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_912.variants.tao

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_912.variants.tao :    (fun n => (h n : )) ~[atTop] (fun n => √(2 * Real.pi) * (n / Real.log n) ^ (1 / 2 : )) := 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