All open problems
Source labels openChecked July 26, 2026

Green's Open ProblemsCombinatorics

Ben Green's Open Problem 37

Determine a strict upper bound (little o) for m(N, k).

Mathematical statement

Determine a strict upper bound (little o) for m(N, k).

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_37_littleO

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem green_37_littleO (k : ) :    (fun N  (m N k : )) =o[atTop] (answer(sorry) :   ) := 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