All open problems
Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 1101: I

  1. There is NO good sequence with polynomial growth.

Mathematical statement

  1. There is NO good sequence with polynomial growth.

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_1101.parts.i

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_1101.parts.i :    ¬  u, IsGood u   k : , (fun n => (u n : )) =O[atTop] (fun n => (n : ) ^ k) := 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