{"id":820,"date":"2013-06-12T01:25:23","date_gmt":"2013-06-11T16:25:23","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=820"},"modified":"2021-09-09T07:28:00","modified_gmt":"2021-09-08T22:28:00","slug":"osr201303","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201303\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2013\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(4\\) \u500b\u306e\u6574\u6570\r\n\\[\r\nn+1 , \\ n^3+3 , \\ n^5+5 , \\ n^7+7\r\n\\]\r\n\u304c\u3059\u3079\u3066\u7d20\u6570\u3068\u306a\u308b\u3088\u3046\u306a\u6b63\u306e\u6574\u6570 \\(n\\) \u306f\u5b58\u5728\u3057\u306a\u3044. \u3053\u308c\u3092\u8a3c\u660e\u305b\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>\\(n\\) \u3092 \\(3\\) \u3092\u6cd5\u3068\u3059\u308b\u5270\u4f59\u306b\u5206\u985e\u3057\u3066\u8003\u3048\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\\(n \\equiv 0 \\ ( \\mod 3 )\\) \u306e\u3068\u304d\r\n\\[\r\nn^3+3 \\equiv 0^3+3 \\equiv 0 \\quad ( \\mod 3 ) \\ .\r\n\\]\r\n\\(n \\gt 0\\) \u306a\u306e\u3067, \\(n^3+3\\) \u306f \\(3\\) \u3067\u306f\u306a\u3044 \\(3\\) \u306e\u500d\u6570\u3068\u306a\u308b.<\/p><\/li>\r\n<li><p><strong>2*<\/strong>\u3000\\(n \\equiv 1 \\ ( \\mod 3 )\\) \u306e\u3068\u304d\r\n\\[\r\nn^5+5 \\equiv 1^5+5 \\equiv 0 \\quad ( \\mod 3 ) \\ .\r\n\\]\r\n\\(n \\gt 0\\) \u306a\u306e\u3067, \\(n^5+5\\) \u306f \\(3\\) \u3067\u306f\u306a\u3044 \\(3\\) \u306e\u500d\u6570\u3068\u306a\u308b.<\/p><\/li>\r\n<li><p><strong>3*<\/strong>\u3000\\(n \\equiv -1 \\ ( \\mod 3 )\\) \u306e\u3068\u304d\r\n\\[\r\nn^7+1 \\equiv (-1)^7+7 \\equiv 0 \\quad ( \\mod 3 ) \\ .\r\n\\]\r\n\\(n \\gt 0\\) \u306a\u306e\u3067, \\(n^7+7\\) \u306f \\(3\\) \u3067\u306f\u306a\u3044 \\(3\\) \u306e\u500d\u6570\u3068\u306a\u308b.<\/p><\/li>\r\n<\/ol>\r\n<p>\u4ee5\u4e0a\u3088\u308a, \u4efb\u610f\u306e\u6b63\u306e\u6574\u6570 \\(n\\) \u306b\u5bfe\u3057\u3066, \\(n^3+3 , n^5+5 , n^7+7\\) \u306e\u3044\u305a\u308c\u304b\u304c, \\(3\\) \u3067\u306a\u3044 \\(3\\) \u306e\u500d\u6570\u306b\u306a\u308a, \u3059\u3079\u3066\u304c\u7d20\u6570\u3068\u306a\u308b\u3053\u3068\u306f\u306a\u3044.<\/p>\r\n","protected":false},"excerpt":{"rendered":"\\(4\\) \u500b\u306e\u6574\u6570 \\[ n+1 , \\ n^3+3 , \\ n^5+5 , \\ n^7+7 \\] \u304c\u3059\u3079\u3066\u7d20\u6570\u3068\u306a\u308b\u3088\u3046\u306a\u6b63\u306e\u6574\u6570 \\(n\\) \u306f\u5b58\u5728\u3057\u306a\u3044. \u3053\u308c\u3092\u8a3c\u660e\u305b\u3088.","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":[90],"tags":[142,111],"class_list":["post-820","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2013","tag-osaka_r","tag-111"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/820","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=820"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/820\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}