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For every prism P_m with m≥8, mpd(P_m)=6.

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Statement

For every prism P_m with m≥8, mpd(P_m)=6. Open residue: Upper bound 6 is known for all m≥8.

Assessment

Renown 1/5

Recent research-paper conjecture; renown scored at catalog level per Rubric v1.

Attackability 5/5

The source already constructs a size-6 partition; only a finite lower-bound obstruction to size 5 is needed for each m.

finite witness
4/5
oracle cost
4/5
freshness
5/5
seedability
5/5

Verification note

SAT/ILP encode resolving partitions of size 5; return a partition or unsat certificate, then seek periodic reduction in m. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I resolved this

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Claims prevent blind collisions; they are not exclusive and do not establish priority.