{"id":1386,"date":"2017-02-25T01:17:10","date_gmt":"2017-02-24T16:17:10","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1386"},"modified":"2021-03-18T16:13:56","modified_gmt":"2021-03-18T07:13:56","slug":"kyr201602","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201602\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2016\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>\u7d20\u6570 \\(p , q\\) \u3092\u7528\u3044\u3066\r\n\\[\r\np^q +q^p\r\n\\]\r\n\u3068\u8868\u3055\u308c\u308b\u7d20\u6570\u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p>\r\n<hr\/>\r\n\r\n    <div id='extLink1386'>\r\n        <p>\r\n            <a href='https:\/\/www.roundown.net\/nyushi\/kyr201602\/' name='ext1386' onclick=\"showHide(1386,'https:\/\/www.roundown.net\/nyushi\/kyr201602\/',this,'entry');return false;\">\u89e3\u7b54\u306f\u3053\u3061\u3089 &#187;<\/a>\r\n        <\/p>\r\n    <\/div>\r\n    <div id='extText1386' style='display: none'>\r\n        \r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\(M = p^q +q^p\\) \u3068\u304a\u304f.<br \/>\r\n\\(p , q\\) \u306f\u7d20\u6570\u306a\u306e\u3067, \\(2\\) \u4ee5\u4e0a\u3067\u3042\u308a, \u5bfe\u79f0\u6027\u304b\u3089 \\(p \\geqq q \\ ... [1]\\) \u3068\u4eee\u5b9a\u3057\u3066\u3082\u3088\u3044.<br \/>\r\n\u3053\u306e\u3068\u304d\r\n\\[\r\nM \\geqq 2 \\cdot 2^2 = 8 \\quad ... [2]\r\n\\]\r\n\u3086\u3048\u306b, \\(2\\) \u4ee5\u5916\u306e\u7d20\u6570\u306f\u5947\u6570\u3060\u304b\u3089, \\(M\\) \u306f\u5947\u6570\u3067\u3042\u308b.<br \/>\r\n\u3057\u305f\u304c\u3063\u3066, \\(p , q\\) \u306e\u3044\u305a\u308c\u304b\u306f\u5076\u6570\u3067\u3042\u308a, [1] \u3088\u308a\r\n\\[\r\nq = 2\r\n\\]\r\n\u6b21\u306b, \\(p\\) \u304c \\(5\\) \u4ee5\u4e0a\u306e\u7d20\u6570\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3059\u308b.<br \/>\r\n\\(p\\) \u306f \\(2 , 3\\) \u306e\u3044\u305a\u308c\u3067\u3082\u5272\u308a\u5207\u308c\u306a\u3044\u306e\u3067, \u81ea\u7136\u6570 \\(k\\) \u3092\u7528\u3044\u3066\r\n\\[\r\np = 6k \\pm 1\r\n\\]\r\n\u3068\u8868\u305b\u308b.<br \/>\r\n\u3053\u306e\u3068\u304d, \u6cd5\u3092 \\(3\\) \u3068\u3057\u3066\r\n\\[\\begin{align}\r\np^2 & \\equiv ( \\pm 1 ) \\equiv 1 , \\\\\r\n2^p & \\equiv 2 \\cdot 64^k , 32 \\cdot 64^{k-1} \\equiv 2 , 32 \\equiv 2 \\\\\r\n& \\quad \\text{\u2234} \\quad M \\equiv 1+2 \\equiv 0\r\n\\end{align}\\]\r\n\u3064\u307e\u308a, \\(M = 3\\) \u3060\u304c, \u3053\u308c\u306f [2] \u306b\u77db\u76fe\u3059\u308b.<br \/>\r\n\u3057\u305f\u304c\u3063\u3066\r\n\\[\r\np = 3\r\n\\]\r\n\u3053\u306e\u3068\u304d\r\n\\[\r\nM = 3^2 +2^3 = 17\r\n\\]\r\n\u3067, \u7d20\u6570\u3067\u3042\u308b.<br \/>\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u7d20\u6570\u306f\r\n\\[\r\n\\underline{17}\r\n\\]\r\n\r\n        <p>\r\n            <a href='#ext1386' onclick=\"showHide(1386,0,this,'entry');return true;\">&#171; \u89e3\u7b54\u3092\u96a0\u3059 <\/a>\r\n        <\/p>\r\n    <\/div>","protected":false},"excerpt":{"rendered":"\u7d20\u6570 \\(p , q\\) \u3092\u7528\u3044\u3066 \\[ p^q +q^p \\] \u3068\u8868\u3055\u308c\u308b\u7d20\u6570\u3092\u3059\u3079\u3066\u6c42\u3081\u3088. \u89e3\u7b54\u306f\u3053\u3061\u3089 &#187; \u3010 \u89e3 \u7b54 \u3011 \\(M = p^q +q^p\\) \u3068\u304a\u304f. \\(p , q\\) \u306f\u7d20\u6570\u306a\u306e\u3067, [&hellip;]","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":[151],"tags":[140,162],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1386"}],"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=1386"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1386\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1386"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1386"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}