{
  "primes": [
    17,
    29,
    37
  ],
  "justification": "Un entier composé possède un diviseur entier entre 2 et sa racine carrée. Pour 17, les restes pour 2, 3, 4 sont 1, 2, 1. Pour 21, ils sont 1, 0, 1 : 21 = 3 × 7. Pour 29, les restes pour 2, 3, 4, 5 sont 1, 2, 1, 4. Pour 33, ils sont 1, 0, 1, 3 : 33 = 3 × 11. Pour 37, les restes pour 2, 3, 4, 5, 6 sont 1, 1, 1, 2, 1. Donc seuls 17, 29 et 37 sont premiers.",
  "analysis": "La vérification couvre chaque diviseur entier de 2 à floor(sqrt(n)), même après un reste nul. Chaque ligne donne n = divisor × quotient + remainder. Si n = ab est composé et a et b dépassent tous deux sqrt(n), alors ab > n, contradiction : cette borne suffit. Les cinq entiers sont supérieurs à 1. Les résultats mesurés sont limités à cette liste et au vérificateur local.",
  "uncertainties": [
    "Aucune incertitude arithmétique identifiée pour ces cinq petits entiers.",
    "Robustesse hors de cette liste, coût, latence, risque et reproductibilité indépendante non mesurés.",
    "Aucun reçu runtime ni résultat des autres chambres disponible."
  ],
  "divisions": [
    {
      "n": 17,
      "limit": 4,
      "checks": [
        {
          "divisor": 2,
          "quotient": 8,
          "remainder": 1
        },
        {
          "divisor": 3,
          "quotient": 5,
          "remainder": 2
        },
        {
          "divisor": 4,
          "quotient": 4,
          "remainder": 1
        }
      ],
      "prime": true
    },
    {
      "n": 21,
      "limit": 4,
      "checks": [
        {
          "divisor": 2,
          "quotient": 10,
          "remainder": 1
        },
        {
          "divisor": 3,
          "quotient": 7,
          "remainder": 0
        },
        {
          "divisor": 4,
          "quotient": 5,
          "remainder": 1
        }
      ],
      "prime": false
    },
    {
      "n": 29,
      "limit": 5,
      "checks": [
        {
          "divisor": 2,
          "quotient": 14,
          "remainder": 1
        },
        {
          "divisor": 3,
          "quotient": 9,
          "remainder": 2
        },
        {
          "divisor": 4,
          "quotient": 7,
          "remainder": 1
        },
        {
          "divisor": 5,
          "quotient": 5,
          "remainder": 4
        }
      ],
      "prime": true
    },
    {
      "n": 33,
      "limit": 5,
      "checks": [
        {
          "divisor": 2,
          "quotient": 16,
          "remainder": 1
        },
        {
          "divisor": 3,
          "quotient": 11,
          "remainder": 0
        },
        {
          "divisor": 4,
          "quotient": 8,
          "remainder": 1
        },
        {
          "divisor": 5,
          "quotient": 6,
          "remainder": 3
        }
      ],
      "prime": false
    },
    {
      "n": 37,
      "limit": 6,
      "checks": [
        {
          "divisor": 2,
          "quotient": 18,
          "remainder": 1
        },
        {
          "divisor": 3,
          "quotient": 12,
          "remainder": 1
        },
        {
          "divisor": 4,
          "quotient": 9,
          "remainder": 1
        },
        {
          "divisor": 5,
          "quotient": 7,
          "remainder": 2
        },
        {
          "divisor": 6,
          "quotient": 6,
          "remainder": 1
        }
      ],
      "prime": true
    }
  ],
  "outcome": "success",
  "claims": [
    {
      "id": "mission-answer",
      "statement": "Parmi 17, 21, 29, 33 et 37, les nombres premiers sont exactement 17, 29 et 37.",
      "evidence": [
        "E1",
        "E2"
      ],
      "uncertainty": "Aucune sur les divisions entières exécutées ; portée limitée aux cinq nombres.",
      "falsificationCriteria": "Réfuter si un diviseur entier d entre 2 et floor(sqrt(n)) divise 17, 29 ou 37 ; si 21 != 3*7 ou 33 != 3*11 ; si une identité n=d*q+r est fausse ou r est hors de [0,d) ; si primes diffère de [17,29,37] ; ou si npm test échoue."
    }
  ],
  "scopeCompletion": {
    "scopeRef": "mission.txt",
    "completedRefs": [
      "answer.json",
      "solution.md"
    ]
  },
  "provenance": {
    "role": "basic_implementation",
    "chamber": "direct",
    "recipe": "direct",
    "source": "mission_prompt",
    "methodId": "prompt_defined",
    "workspace": "local assigned workspace",
    "tools": [
      "node",
      "npm test"
    ],
    "otherChamberOutputsUsed": false
  },
  "evidence": [
    {
      "id": "E1",
      "source": "Node.js exhaustive integer division executed locally",
      "result": [
        {
          "n": 17,
          "limit": 4,
          "checks": [
            {
              "divisor": 2,
              "quotient": 8,
              "remainder": 1
            },
            {
              "divisor": 3,
              "quotient": 5,
              "remainder": 2
            },
            {
              "divisor": 4,
              "quotient": 4,
              "remainder": 1
            }
          ],
          "prime": true
        },
        {
          "n": 21,
          "limit": 4,
          "checks": [
            {
              "divisor": 2,
              "quotient": 10,
              "remainder": 1
            },
            {
              "divisor": 3,
              "quotient": 7,
              "remainder": 0
            },
            {
              "divisor": 4,
              "quotient": 5,
              "remainder": 1
            }
          ],
          "prime": false
        },
        {
          "n": 29,
          "limit": 5,
          "checks": [
            {
              "divisor": 2,
              "quotient": 14,
              "remainder": 1
            },
            {
              "divisor": 3,
              "quotient": 9,
              "remainder": 2
            },
            {
              "divisor": 4,
              "quotient": 7,
              "remainder": 1
            },
            {
              "divisor": 5,
              "quotient": 5,
              "remainder": 4
            }
          ],
          "prime": true
        },
        {
          "n": 33,
          "limit": 5,
          "checks": [
            {
              "divisor": 2,
              "quotient": 16,
              "remainder": 1
            },
            {
              "divisor": 3,
              "quotient": 11,
              "remainder": 0
            },
            {
              "divisor": 4,
              "quotient": 8,
              "remainder": 1
            },
            {
              "divisor": 5,
              "quotient": 6,
              "remainder": 3
            }
          ],
          "prime": false
        },
        {
          "n": 37,
          "limit": 6,
          "checks": [
            {
              "divisor": 2,
              "quotient": 18,
              "remainder": 1
            },
            {
              "divisor": 3,
              "quotient": 12,
              "remainder": 1
            },
            {
              "divisor": 4,
              "quotient": 9,
              "remainder": 1
            },
            {
              "divisor": 5,
              "quotient": 7,
              "remainder": 2
            },
            {
              "divisor": 6,
              "quotient": 6,
              "remainder": 1
            }
          ],
          "prime": true
        }
      ]
    },
    {
      "id": "E2",
      "source": "npm test -> node verify.cjs",
      "exitCode": 0,
      "stdout": "\n> test\n> node verify.cjs\n\nPASS independent trial division\n",
      "stderr": ""
    },
    {
      "id": "E3",
      "source": "SHA-256 comparison before and after artifact creation and npm test",
      "before": {
        "verify.cjs": "f537ffd58c5a7490018232b45459cf08cb638672f887eea3c2f7340535792475",
        "package.json": "d28de45cffefcd6eb7ed9306a54f4e1209a92c90144444239859c70ba6a5471a",
        "mission.txt": "76f2b20e2a9b183cada259386b4e08ff38b4eee679190665cd587b7661275463"
      },
      "after": {
        "verify.cjs": "f537ffd58c5a7490018232b45459cf08cb638672f887eea3c2f7340535792475",
        "package.json": "d28de45cffefcd6eb7ed9306a54f4e1209a92c90144444239859c70ba6a5471a",
        "mission.txt": "76f2b20e2a9b183cada259386b4e08ff38b4eee679190665cd587b7661275463"
      },
      "unchanged": true
    }
  ],
  "acceptanceChecks": [
    {
      "id": "A1",
      "description": "Liste exacte et champs analysis, justification, uncertainties conformes au vérificateur local.",
      "evidence": [
        "E2"
      ],
      "passed": true
    },
    {
      "id": "A2",
      "description": "Tous les diviseurs jusqu’à la racine carrée vérifiés pour les cinq entiers.",
      "evidence": [
        "E1"
      ],
      "passed": true
    },
    {
      "id": "A3",
      "description": "verify.cjs, package.json et mission.txt conservés octet pour octet.",
      "evidence": [
        "E3"
      ],
      "passed": true
    }
  ],
  "executionLimits": {
    "scope": "Cinq entiers assignés ; aucune promotion ni comparaison inter-chambres.",
    "unmetPreconditions": [
      "Outils organisationnels GenOS non disponibles dans la liste active."
    ],
    "independentVerification": "Vérificateur local fourni ; pas de vérification indépendante externe."
  },
  "counterfactual": {
    "condition": "Chambre scellée direct assignée ; capacité locale disponible pour une exécution séquentielle.",
    "intervention": {
      "type": "none",
      "dimension": "resource_capacity",
      "description": "Aucune variation de capacité appliquée ; aucun effet contrefactuel mesuré."
    }
  },
  "evidenceVector": {
    "correctness": 1,
    "coverage": 1,
    "robustness": null,
    "reproducibility": null,
    "novelty": null,
    "cost": null,
    "latency": null,
    "risk": null,
    "uncertainty": null,
    "constraintCoverage": null
  },
  "evidenceVectorEvidence": {
    "correctness": [
      "E2"
    ],
    "coverage": [
      "E1"
    ]
  },
  "hardConstraintsPassed": true,
  "budgetStatus": {
    "status": "within assigned scope",
    "tokenBudget": null,
    "executionBudgetConsumed": null
  }
}