{"id":624,"date":"2021-01-19T20:23:08","date_gmt":"2021-01-19T11:23:08","guid":{"rendered":"https:\/\/www.sci-math.com\/?p=624"},"modified":"2022-11-06T11:39:35","modified_gmt":"2022-11-06T02:39:35","slug":"integer","status":"publish","type":"post","link":"https:\/\/www.sci-math.com\/integer\/","title":{"rendered":"\u6574\u6570"},"content":{"rendered":"\n\u4e2d\u5b66\u751f\u3068\u6574\u6570\u554f\u984c\u306b\u6311\u6226\uff01
\n\u5225\u89e3\u306a\u3069\u3082\u51fa\u3066\u697d\u3057\u3081\u307e\u3057\u305f\u3002
\n\u4e0b\u8a18\u306b\u30aa\u30fc\u30bd\u30c9\u30c3\u30af\u30b9\u306a\u89e3\u6cd5\u3092\u793a\u3057\u307e\u3059\u3002\n
\n\u4f8b\u984c
\n\\(\\sqrt{n^2-80}\\) \u304c\u6574\u6570\u3068\u306a\u308b\u3088\u3046\u306a\u81ea\u7136\u6570 \\(n\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u306a\u3055\u3044\u3002\n
\n\u3010\u89e3\u7b54\u3011
\n\\(\\sqrt{n^2-80}=k\\) \u2026\u2460 \u3068\u304a\u304f\u3068
\n\\(k>0\\)
\n\u2460\u306e\u4e21\u8fba\u3092\u4e8c\u4e57\u3057\u3066
\n\\(n^2-80=k^2\\)
\n\\(n^2-k^2=80\\)
\n\\((n+k)(n-k)=80\\)
\n\\(n-k\uff1cn+k\\) \u3088\u308a
\n\\((n-k, n+k)\\)
\n\\(=(2, 40), (4, 20), (5, 16), (8, 10)\\)
\n\u3088\u3063\u3066
\n\\(2n=42, 24, 21, 18\\)
\n\\(n\\) \u306f\u6574\u6570\u306a\u306e\u3067
\n\\(\\underline{n=9, 12, 21}\\) \u2026(\u7b54)\n","protected":false},"excerpt":{"rendered":"

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