"Waring's problem" meaning in English

{
  "etymology_text": "The problem was proposed in 1770 by Edward Waring.",
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      "expansion": "Waring's problem",
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  "lang_code": "en",
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      "glosses": [
        "The problem of whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k."
      ],
      "id": "en-Waring's_problem-en-name-AIp6SYmv",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "power",
          "power"
        ]
      ],
      "raw_glosses": [
        "(number theory) The problem of whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k."
      ],
      "related": [
        {
          "word": "Hilbert-Waring theorem"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Edward Waring"
      ]
    }
  ],
  "word": "Waring's problem"
}

{
  "etymology_text": "The problem was proposed in 1770 by Edward Waring.",
  "head_templates": [
    {
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      "expansion": "Waring's problem",
      "name": "en-prop"
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Hilbert-Waring theorem"
    }
  ],
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      "glosses": [
        "The problem of whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "power",
          "power"
        ]
      ],
      "raw_glosses": [
        "(number theory) The problem of whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Edward Waring"
      ]
    }
  ],
  "word": "Waring's problem"
}