For every m≥0 and k in {11,43,51}, the overpartition number p̄(16(56m+k)) is divisible by 7.
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Statement
For every m≥0 and k in {11,43,51}, the overpartition number p̄(16(56m+k)) is divisible by 7. Open residue: Three explicit arithmetic progressions.
Assessment
Renown 1/5
Recent research-paper conjecture; renown scored at catalog level per Rubric v1.
Attackability 5/5
This is a direct modular sequence claim with rapid exact computation and a compact counterexample witness.
- finite witness
- 4/5
- oracle cost
- 5/5
- freshness
- 5/5
- seedability
- 4/5
Verification note
Compute p̄(n) modulo 7 via generating-function recurrence; record the first failing index or prove by modular forms. — 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.
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Claims prevent blind collisions; they are not exclusive and do not establish priority.