PRP0108canonicalv1Radical-Primorial Identity
Radical-primorial identity: rad(M_k) = M_k for all k. Primorial tower consists of squarefree numbers — the natural domain for ABC. ABCD coordinates decompose via tower; radical inherits decomposition. Verified at depth 4.
Payload
Radical-Primorial Identity
Radical-primorial identity: rad(M_k) = M_k for all k. Primorial tower consists of squarefree numbers — the natural domain for ABC. ABCD coordinates decompose via tower; radical inherits decomposition. Verified at depth 4.
Radical-Primorial Identity
Summary
Radical-primorial identity: rad(M_k) = M_k for all k. Primorial tower consists of squarefree numbers — the natural domain for ABC. ABCD coordinates decompose via tower; radical inherits decomposition. Verified at depth 4.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
No immediate manuscript proof block was extracted in this pilot run.
Source Context
- Registry source:
book-03.jsonlline 250 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Arithmetic.ABCConjecture - Name:
radical_primorial_4
Dependencies
- Canonical: III.D97, III.T65
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.P41radical-primorial-identityprop:radical-primorialRelease lines
corpus_v3_workingcorpus_v2Relations
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
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.