All open problems
Source labels openChecked July 26, 2026

Green's Open ProblemsCombinatorics

Green's Open Problem 32: Log Regime

Even what happens in the regime ω(p)10logp\omega(p) \sim 10 \log p is unclear [Gr24].

Mathematical statement

Even what happens in the regime ω(p)10logp\omega(p) \sim 10 \log p is unclear [Gr24].

Statement source: Green's Open 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

green_32.variants.log_regime

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem green_32.variants.log_regime :    answer(sorry)     ( ω :   , ω ~[atTop] (fun p  10 * Real.log p)       HasLargeGapDilate ω) := 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