{"url":"https://inamori.hateblo.jp/entry/20100731/p1","width":"100%","categories":["PE","\u6570\u5b66","\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0"],"description":"http://projecteuler.net/index.php?section=problems&id=140 Problem 137\u3068\u540c\u3058\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\u3088\u308a\u96e3\u3057\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002 \u540c\u3058\u3088\u3046\u306b\u8a08\u7b97\u3057\u3066\u3044\u304f\u3068\u3001 (n + 3)x2 + (n + 1)x - n = 0 x\u304c\u6709\u7406\u6570\u306b\u306a\u308b\u5fc5\u8981\u5341\u5206\u6761\u4ef6\u306f\u5224\u5225\u5f0f\u304c\u5e73\u65b9\u6570\u306b\u306a\u308b\u3053\u3068\u3060\u304b\u3089\u3001 5n2 + 14n + 1 = m2 (5n + 7)2 - 5m2 = 44 \u30da\u30eb\u65b9\u7a0b\u5f0f\u306b\u4f3c\u305f\u65b9\u7a0b\u5f0f\u3001 x2 - 5y2 = 44 \u304c\u89e3\u3051\u308c\u3070\u3088\u3044\u3067\u3059\u3002\u4e00\u822c\u7684\u306b\u89e3\u6cd5\u304c\u3069\u3046\u306a\u3063\u3066\u3044\u308b\u306e\u304b\u77e5\u308a\u307e\u305b\u3093\u304c\u3001(x1, y1)\u3092x2 - 5y2 = \u00b111\u306e\u89e3\u3001(x2, \u2026","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finamori.hateblo.jp%2Fentry%2F20100731%2Fp1\" title=\"Project Euler 140 - inamori\u2019s diary\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_title":"inamori\u2019s diary","image_url":null,"title":"Project Euler 140","version":"1.0","published":"2010-07-31 00:00:00","provider_url":"https://hatena.blog","author_name":"inamori","author_url":"https://blog.hatena.ne.jp/inamori/","type":"rich","provider_name":"Hatena Blog","blog_url":"https://inamori.hateblo.jp/","height":"190"}