Collatz verified to 10⁴
Theorem.Collatz verified to 10⁴ — every start ≤ 10⁴ reaches 1.
Proof.every start ≤ 10⁴ reaches 1 — BOUNDED VERIFICATION, explicitly not a proof; the conjecture remains OPEN.
Checked by exact arithmetic over the stated finite range — a verified witness, evidence toward the claim, not a ∀-proof.
src/thunder/verify/index.ts#discoveredTheoremsWaveSeven
1 · Classification
bounded-witness — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"Collatz verified to 10⁴" 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 discoveredTheoremsWaveSeven.
- 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 (discoveredTheoremsWaveSeven @ 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 discoveredTheoremsWaveSeven (src/thunder/verify/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.