Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001540DEF0310canonicalv1

Goldbach Representation

Goldbach representation: every even n ≥ 4 is p+q for primes p,q. Verified computationally up to 100. Partition count r(n) measures additive richness. At primorial levels, partitions grow with depth.

Payload

Goldbach Representation

Goldbach representation: every even n ≥ 4 is p+q for primes p,q. Verified computationally up to 100. Partition count r(n) measures additive richness. At primorial levels, partitions grow with depth.

Goldbach Representation

Summary

Goldbach representation: every even n ≥ 4 is p+q for primes p,q. Verified computationally up to 100. Partition count r(n) measures additive richness. At primorial levels, partitions grow with depth.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-03.jsonl line 243
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Spectral.AdditiveConjectures
  • Name: goldbach_pair

Dependencies

  • Canonical: I.D19b

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001540
  • Primary alias DEF0310
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.D95goldbach-representationdef:goldbach-representation

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000024Book III, Part 10, Chapter 81 (Wave M9)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

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.

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