DEF0215canonicalv1Partition Count at Primorial
r(M_k): Goldbach partition count at primorial levels. r(M_2)=1, r(M_3)=3, r(M_4)>0. Increasing sequence.
Payload
Partition Count at Primorial
r(M_k): Goldbach partition count at primorial levels. r(M_2)=1, r(M_3)=3, r(M_4)>0. Increasing sequence.
Partition Count at Primorial
Summary
r(M_k): Goldbach partition count at primorial levels. r(M_2)=1, r(M_3)=3, r(M_4)>0. Increasing sequence.
Statement
\label{def:goldbach-partition-primorial}
$r(M_k)$~counts representations $M_k = p + q$ with $p \le q$ prime.
Computed values: $r(M_2) = 1$, $r(M_3) = 3$, $r(M_4) > 0$.
\textbf{Lean:} \texttt{goldbach\_partition\_count\_at\_primorial}.\quad
\textbf{Registry:} III.D103.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-03.jsonlline 258 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.texlines 170-176
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Spectral.GoldbachDeep - Name:
goldbach_partition_count_at_primorial
Dependencies
- Canonical: III.D99, III.D95
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
III.D103partition-count-at-primorialdef:goldbach-partition-primorialRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (3)
Appears in (1)
Downstream uses (computed) (6)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
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Version & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.