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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          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
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          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
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        {
          "kind": "topical",
          "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "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 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"Carmichael number" meaning in English

Noun

Inflected forms