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For every m≥0 and k in {11,43,51}, the overpartition number p̄(16(56m+k)) is divisible by 7.

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

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.

I resolved this

I’m attacking this

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