{"published":"2016-01-24 19:41:01","type":"rich","blog_url":"https://randommemory.hatenablog.com/","version":"1.0","provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["math-other"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F01%2F24%2F194101\" title=\"\u304a\u3063\u304d\u3044\u7d20\u6570 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","author_url":"https://blog.hatena.ne.jp/derwind/","height":"190","title":"\u304a\u3063\u304d\u3044\u7d20\u6570","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/01/24/194101","provider_url":"https://hatena.blog","description":"\u307c\u3051\u30fc\u3063\u3068\u898b\u3066\u305f\u3089\u904e\u53bb\u6700\u5927 2233\u4e07\u6841\u306e\u7d20\u6570\u767a\u898b(2016\u5e741\u670824\u65e5(\u65e5)\u63b2\u8f09) - Yahoo!\u30cb\u30e5\u30fc\u30b9\u3068\u3044\u3046\u8a18\u4e8b\u304c\u3042\u3063\u305f\u3002 $$ 2^{74207281} - 1 $$\u3060\u305d\u3046\u3060\u3002\u5e38\u7528\u5bfe\u6570\u3092\u4f7f\u3063\u3066\u307f\u307e\u3059\u304b\u306d\u3002 $\\log_{10}2 = 0.301029995\\cdots$ \u306b\u6ce8\u610f\u3059\u308b\u3068\u3001\u5e95\u306e\u5909\u63db\u3092\u884c\u3063\u3066\u3001 $$ \\log_{10}2^{74207281} = \\frac{\\log_{2}2^{74207281}}{\\log_{2}10} = \\log_{2}2^{74207281} \\cdot \\log_{10}2 $$\u306a\u306e\u3067\u3001 $$ 22338617.257 \\approx 7420\u2026","image_url":null,"width":"100%"}