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OP-6741OpenNumber theory

The Curling Number Conjecture

TheoremDB P12359 · integer sequences

Inferred from the community field; finer classification has not been reviewed.

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

For a finite nonempty integer sequence S, write S=XY^k with Y nonempty and k as large as possible, and call k the curling number of S. Starting from any S and repeatedly appending its curling number, must the evolving sequence eventually append 11?

Lean 4

No Lean submitted

Formal statement

The formalization is available at the source below; its code is not attached here yet.

On-site verification needs an executable Lean target. None is attached yet.

A source attachment or link is not a verified proof. The statement’s correspondence with the original question needs human review.

Proofs & verification

No Lean has been submitted for this problem yet. A Lean file can be attached to a submission for review, though with no target here it cannot be machine-checked.

Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Open. No signed Lean verification is attached to this problem or its selected resolution.

References
  1. [1]TheoremDB P12359 link
  2. [2]Formal Conjectures — The Curling Number Conjecture link

Recorded progress

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Machine attempts

0 recorded

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Discussion

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