Carmichael number in English

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{
  "etymology_text": "Named after Robert Daniel Carmichael (1879–1967), American mathematician.",
  "forms": [
    {
      "form": "Carmichael numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carmichael number (plural Carmichael numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n."
      ],
      "id": "en-Carmichael_number-en-noun-2CpUwOz2",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "composite number",
          "composite number"
        ],
        [
          "modular",
          "modular"
        ],
        [
          "arithmetic",
          "arithmetic"
        ],
        [
          "congruence",
          "congruence"
        ],
        [
          "relation",
          "relation"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "relatively prime",
          "relatively prime"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Carmichael number",
        "Robert Daniel Carmichael"
      ]
    }
  ],
  "word": "Carmichael number"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after Robert Daniel Carmichael (1879–1967), American mathematician.",
  "forms": [
    {
      "form": "Carmichael numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carmichael number (plural Carmichael numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "composite number",
          "composite number"
        ],
        [
          "modular",
          "modular"
        ],
        [
          "arithmetic",
          "arithmetic"
        ],
        [
          "congruence",
          "congruence"
        ],
        [
          "relation",
          "relation"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "relatively prime",
          "relatively prime"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Carmichael number",
        "Robert Daniel Carmichael"
      ]
    }
  ],
  "word": "Carmichael number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-23 from the enwiktionary dump dated 2025-01-20 using wiktextract (0c0c1f1 and 4230888). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"Carmichael number" meaning in English

Noun

Inflected forms