"Pólya's conjecture" meaning in English

{
  "etymology_text": "Posited in 1919 by the Hungarian mathematician George Pólya.",
  "head_templates": [
    {
      "args": {
        "head": "Pólya's conjecture"
      },
      "expansion": "Pólya's conjecture",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The conjecture (disproved in 1958) that at least half of the natural numbers smaller than any given number have an odd number of prime factors."
      ],
      "id": "en-Pólya's_conjecture-en-name-1DPmqe-f",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "conjecture",
          "conjecture"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "prime factor",
          "prime factor"
        ]
      ],
      "raw_glosses": [
        "(number theory) The conjecture (disproved in 1958) that at least half of the natural numbers smaller than any given number have an odd number of prime factors."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Pólya's conjecture"
}

{
  "etymology_text": "Posited in 1919 by the Hungarian mathematician George Pólya.",
  "head_templates": [
    {
      "args": {
        "head": "Pólya's conjecture"
      },
      "expansion": "Pólya's conjecture",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms spelled with Ó",
        "English terms spelled with ◌́",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "Pages with 1 entry",
        "en:Number theory"
      ],
      "glosses": [
        "The conjecture (disproved in 1958) that at least half of the natural numbers smaller than any given number have an odd number of prime factors."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "conjecture",
          "conjecture"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "prime factor",
          "prime factor"
        ]
      ],
      "raw_glosses": [
        "(number theory) The conjecture (disproved in 1958) that at least half of the natural numbers smaller than any given number have an odd number of prime factors."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "Pólya's conjecture"
}