"Chen prime" meaning in English

See Chen prime in All languages combined, or Wiktionary

Noun

Forms: Chen primes [plural]
Etymology: Named after Chinese mathematician Chen Jingrun, who proved in 1966 that there are infinitely many such numbers. Head templates: {{en-noun}} Chen prime (plural Chen primes)
  1. (number theory) Any prime number p such that p+2 is either a semiprime or another prime. Wikipedia link: Chen Jingrun, Chen prime Categories (topical): Number theory Related terms: cousin prime, prime gap, prime pair, sexy prime
    Sense id: en-Chen_prime-en-noun-cH2WhYTb Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, number-theory, sciences

Inflected forms

{
  "etymology_text": "Named after Chinese mathematician Chen Jingrun, who proved in 1966 that there are infinitely many such numbers.",
  "forms": [
    {
      "form": "Chen primes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Chen prime (plural Chen primes)",
      "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"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "2013, Laura Hemphill, Buying In, Haughton Mifflin Harcourt (New Harvest), page 278,\nShe tried counting Chen primes. 2, 3, 5... 7, 11... 13... 17... She couldn't concentrate."
        },
        {
          "ref": "2014, Christian Bessiere et al., “Reasoning about Constraint Methods”, in Duc-Nghia Pham, Seong-Bae Park, editors, PRICAI 2014: Trends in Artificial Intelligence, Springer, page 804:",
          "text": "There are even magic square of primes, like this one containing Chen primes discovered by Rudolf Ondrejka:[…]",
          "type": "quote"
        },
        {
          "ref": "2014, Rajesh Kumar Thakur, The Power of Mathematical Numbers, Ocean Books, page 155:",
          "text": "A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes.[…]There are infinitely [many] Chen primes and the first ten are: 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Any prime number p such that p+2 is either a semiprime or another prime."
      ],
      "id": "en-Chen_prime-en-noun-cH2WhYTb",
      "links": [
        [
          "number theory",
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        [
          "prime number",
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        ],
        [
          "semiprime",
          "semiprime"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any prime number p such that p+2 is either a semiprime or another prime."
      ],
      "related": [
        {
          "word": "cousin prime"
        },
        {
          "word": "prime gap"
        },
        {
          "word": "prime pair"
        },
        {
          "word": "sexy prime"
        }
      ],
      "topics": [
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        "number-theory",
        "sciences"
      ],
      "wikipedia": [
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    }
  ],
  "word": "Chen prime"
}
{
  "etymology_text": "Named after Chinese mathematician Chen Jingrun, who proved in 1966 that there are infinitely many such numbers.",
  "forms": [
    {
      "form": "Chen primes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Chen prime (plural Chen primes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "cousin prime"
    },
    {
      "word": "prime gap"
    },
    {
      "word": "prime pair"
    },
    {
      "word": "sexy prime"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "2013, Laura Hemphill, Buying In, Haughton Mifflin Harcourt (New Harvest), page 278,\nShe tried counting Chen primes. 2, 3, 5... 7, 11... 13... 17... She couldn't concentrate."
        },
        {
          "ref": "2014, Christian Bessiere et al., “Reasoning about Constraint Methods”, in Duc-Nghia Pham, Seong-Bae Park, editors, PRICAI 2014: Trends in Artificial Intelligence, Springer, page 804:",
          "text": "There are even magic square of primes, like this one containing Chen primes discovered by Rudolf Ondrejka:[…]",
          "type": "quote"
        },
        {
          "ref": "2014, Rajesh Kumar Thakur, The Power of Mathematical Numbers, Ocean Books, page 155:",
          "text": "A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes.[…]There are infinitely [many] Chen primes and the first ten are: 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Any prime number p such that p+2 is either a semiprime or another prime."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "prime number",
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        ],
        [
          "semiprime",
          "semiprime"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any prime number p such that p+2 is either a semiprime or another prime."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Chen Jingrun",
        "Chen prime"
      ]
    }
  ],
  "word": "Chen prime"
}

Download raw JSONL data for Chen prime meaning in English (2.0kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-30 from the enwiktionary dump dated 2025-03-21 using wiktextract (fef8596 and 633533e). 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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