All open problems
Source labels openChecked July 26, 2026

Green's Open ProblemsCombinatorics

Green's Open Problem 39: Variant 101

"I do not know how to answer this even with 100 replaced by 1.01." [Gr24]"

Mathematical statement

"I do not know how to answer this even with 100 replaced by 1.01." [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_39.variant_101

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem green_39.variant_101 : answer(sorry)     Tendsto      (fun p : {q :  // q.Prime}         let k := Nat.sqrt p        let c :=1.01 * (k : )⌋₊        (proportionCoverable p k c : ))      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