math.prime_factorization

Three distinct suites: educational examples on the calculator page, this legacy regression count (11/11 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

STALE · Build schema 1.0.1 matches page · production binding STALE · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-22.discrete-algebra-cvp. Calculation version 1.0.0. CVP 1.0.0-proposed. 5/5 golden · 3/3 CVP boundary · 5/5 invalid · 3/3 property · 3/3 cross-interface · 1/1 cross-calculator · 5/5 CVP contract. digest cfb4476b4373.

• Golden (oracle-backed) 5 / 5
• CVP boundary 3 / 3
• Invalid input 5 / 5
• Property 3 / 3
• Cross-interface 3 / 3
• Cross-calculator 1 / 1
• CVP contract 5 / 5
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
• Verified scope all published modes
• Assurance Core

• release artifacts aligned PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• rest success payload validates schema PASS

Fingerprint sha256:b89c30b7ff14bba3f4754488b02426f6bed77fbe3e83717d726c89b4d580672e

Input schema sha256:87cce1a3541796472731ab489ebec577a891fa572e053d23bc4123c56d289420 · Output schema sha256:03cb63458fd0dc6ded0829e175d96b9c62c227a6e33a5ffed917dde071a6145f · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Tool

prime-factorization

Engine

prime-factorization

Engine build

2026-10-14

Evidence core

2026-10-14T04:17:16.233Z

Rendered

2026-10-22T14:07:51.535Z

Last reviewed

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Assumptions

• Unique factorization (fundamental theorem of arithmetic)
• Trial division
• n = 1 is neither prime nor composite

Limitations

• Trial division only — not a primality-proving sieve for cryptographic sizes
• n = 1 is neither prime nor composite (empty factorization)
• Domain 1 ≤ n ≤ 10^12
• n < 1 → VALUE_MUST_BE_POSITIVE
• unknown mode → INVALID_MODE