Termination of GF(2) factor-encoding product orbits
TheoremDB P11596 · discrete dynamical systems
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Encode as a polynomial over using its binary digits. Factor that polynomial into irreducibles, encode each factor as an integer, and multiply those encodings by ordinary integer multiplication to obtain . Starting from each integer absent from the image of , must iteration of reach a fixed point?
Lean 4
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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.
- [1]TheoremDB P11596 link
Recorded progress
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Discussion
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