four 3-digit Armstrong numbers
Theorem.four 3-digit Armstrong numbers — {153, 370, 371, 407} = every 3-digit n with n = Σ (digits)³.
Proof.EXACTLY {153, 370, 371, 407} equal the sum of their own digit-cubes — the complete sweep of all 900 three-digit numbers finds only these four (153 = 1³ + 5³ + 3³).
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#discoveredTheoremsWaveThirtyTwo
1 · Classification
finite-complete — 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
"four 3-digit Armstrong numbers" 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 discoveredTheoremsWaveThirtyTwo.
- 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 (discoveredTheoremsWaveThirtyTwo @ src/9/1) 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 discoveredTheoremsWaveThirtyTwo (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.