DEF0313canonicalv1ABC Quality
ABC quality check: for coprime a+b=c, verify c < rad(abc)². Weak form (ε=1) of ABC conjecture. Verified for all coprime pairs up to bound 15. Quality ratio computed at primorial levels.
Payload
ABC Quality
ABC quality check: for coprime a+b=c, verify c < rad(abc)². Weak form (ε=1) of ABC conjecture. Verified for all coprime pairs up to bound 15. Quality ratio computed at primorial levels.
ABC Quality
Summary
ABC quality check: for coprime a+b=c, verify c < rad(abc)². Weak form (ε=1) of ABC conjecture. Verified for all coprime pairs up to bound 15. Quality ratio computed at primorial levels.
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.jsonlline 248 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Arithmetic.ABCConjecture - Name:
abc_triple_check
Dependencies
- Canonical: III.D97
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.D98abc-qualitydef:abc-qualityRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (1)
Appears in (1)
Downstream uses (computed) (2)
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.