{"id":730,"date":"2013-04-12T08:38:38","date_gmt":"2013-04-11T23:38:38","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=730"},"modified":"2021-10-31T08:29:04","modified_gmt":"2021-10-30T23:29:04","slug":"tkb200703","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb200703\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2007\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\u6b63\u306e\u6574\u6570\u306e\u4e0b \\(2\\) \u6841\u3068\u306f, \\(100\\) \u306e\u4f4d\u4ee5\u4e0a\u3092\u7121\u8996\u3057\u305f\u6570\u3092\u3044\u3046.\r\n\u305f\u3068\u3048\u3070 \\(2000, 12345\\) \u306e\u4e0b \\(2\\) \u6841\u306f\u305d\u308c\u305e\u308c \\(0, 45\\) \u3067\u3042\u308b. \\(m\\) \u304c\u6b63\u306e\u6574\u6570\u5168\u4f53\u3092\u52d5\u304f\u3068\u304d, \\(5 m^4\\) \u306e\u4e0b \\(2\\) \u6841\u3068\u3057\u3066\u73fe\u308c\u308b\u6570\u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>\u81ea\u7136\u6570 \\(m = 10N+k \\ ( k = 0 , 1 , \\cdots , 9 )\\) \u3068\u8868\u3059.<br \/>\r\n\u6cd5\u3092 \\(100\\) \u3068\u3057\u3066\r\n\\[\\begin{align}\r\n5m^4 & \\equiv 5 ( 10N+k )^4 \\\\\r\n& \\equiv 5 ( 100N^2 +20Nk +k^2 )^2 \\\\\r\n& \\equiv 5 k^2 ( 20N+k )^2 \\\\\r\n& \\equiv 5 k^2 ( 400N^2 +40Nk +k^2 ) \\\\\r\n& \\equiv 5 k^4\r\n\\end{align}\\]\r\n\u3057\u305f\u304c\u3063\u3066, \\(5k^4\\) \u306e\u4e0b \\(2\\) \u6841\u306b\u3064\u3044\u3066\u8003\u3048\u308c\u3070\u3088\u3044.<br \/>\r\n\u3042\u3089\u305f\u3081\u3066, \\(k = 0 , \\pm 1 , \\cdots , \\pm 4 , 5\\) \u3068\u304a\u304f\u3053\u3068\u304c\u3067\u304d\u308b.<br \/>\r\n\u3053\u306e\u3068\u304d, \u5404\u6570\u306e\u4e0b \\(2\\) \u6841\u306f\u4e0b\u8868\u306e\u3088\u3046\u306b\u306a\u308b.\r\n\\[\r\n\\begin{array}{c|cccccc} k & 0 & \\pm 1 & \\pm 2 & \\pm 3 & \\pm 4 & 5 \\\\ \\hline k^2 & 0 & 1 & 4 & 9 & 16 & 25 \\\\ \\hline k^4 & 0 & 1 & 16 & 81 & 56 & 25 \\\\ \\hline 5k^4 & 0 & 5 & 80 & 5 & 80 & 25 \\end{array}\r\n\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u5024\u306f\r\n\\[\r\n\\underline{0 , 5 , 25 , 80}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u6b63\u306e\u6574\u6570\u306e\u4e0b \\(2\\) \u6841\u3068\u306f, \\(100\\) \u306e\u4f4d\u4ee5\u4e0a\u3092\u7121\u8996\u3057\u305f\u6570\u3092\u3044\u3046. \u305f\u3068\u3048\u3070 \\(2000, 12345\\) \u306e\u4e0b \\(2\\) \u6841\u306f\u305d\u308c\u305e\u308c \\(0, 45\\) \u3067\u3042\u308b. \\(m\\) \u304c\u6b63\u306e\u6574\u6570\u5168\u4f53\u3092\u52d5\u304f\u3068 &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkb200703\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[105],"tags":[149,109],"class_list":["post-730","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2007","tag-tokyo_b","tag-109"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/730","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=730"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/730\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=730"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=730"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}