Prime Checker & Generator (Sieve) implementation

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner

Guth Instruments

Lifecycle

verified-with-binding-errata

Evidence ID

t4-045

Effect

Computation or source lookup only

Input and validation requirements

The extreme integer 9007199254740993 cannot be represented exactly by ordinary JavaScript Number arithmetic and silently rounds to 9007199254740992. Accepting it without rejection or exact-integer handling can invalidate primality and range results. The range endpoint convention is also ambiguous unless explicitly defined.

Required corrections

[
  {
    "vector": 1,
    "field": "classification",
    "wrong": "composite",
    "correct": "neither prime nor composite",
    "cause": "1 is a unit — neither prime nor composite"
  }
]

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "operation": "primality_test",
    "n": 1
  },
  "expected_outputs": {
    "prime": false,
    "classification": "composite"
  },
  "working": "1 is less than 2. By definition, primes are integers greater than 1. Therefore 1 is not prime and the result is composite/non-prime."
}

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche4/tranche4-results.json
• tranche errata record