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For every n≥21, r(n)>0 when n≡0 mod 3 and r(n)<0 when n≡1 or 2 mod 3.

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

Statement

For every n≥21, r(n)>0 when n≡0 mod 3 and r(n)<0 when n≡1 or 2 mod 3. Open residue: Exact cutoff 21; source develops the asymptotic sign mechanism.

Assessment

Renown 1/5

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

Attackability 5/5

The coefficients are exact integers and the proposed cutoff is explicit; computation can stress-test huge ranges while analytic bounds target the tail.

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

Verification note

Compute coefficients with exact recurrences; a single sign failure is a certificate. — 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

I’m attacking this

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