Sylvester–Frobenius ab−a−b witnessed
Theorem.Sylvester–Frobenius ab−a−b witnessed — largest non-representable = ab−a−b for (3,5), (4,9), (9,20) by sweep + window closure.
Proof.largest non-representable = ab−a−b for (3,5), (4,9), (9,20) by sweep + window closure — Sylvester 1882 cited for all coprime pairs.
Checked by exact arithmetic over the stated finite range — a verified witness, evidence toward the claim, not a ∀-proof.
src/thunder/verify/index.ts#discoveredTheoremsWaveTen
1 · Classification
bounded-witness — computed witness within a cited frame (the unbounded form leans on the cited literature)
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"Sylvester–Frobenius ab−a−b witnessed" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation discoveredTheoremsWaveTen.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (discoveredTheoremsWaveTen @ src/thunder/verify) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes discoveredTheoremsWaveTen (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.