{"id":387,"date":"2012-05-03T00:41:20","date_gmt":"2012-05-02T15:41:20","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=387"},"modified":"2021-09-09T09:40:10","modified_gmt":"2021-09-09T00:40:10","slug":"osr201202","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201202\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2012\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>\u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6 (i) , (ii) \u3092\u307f\u305f\u3059\u81ea\u7136\u6570 \\(n\\) \u306b\u3064\u3044\u3066\u8003\u3048\u308b.<\/p>\r\n<ol>\r\n<li><p>(i)\u3000\\(n\\) \u306f\u7d20\u6570\u3067\u306f\u306a\u3044.<\/p><\/li>\r\n<li><p>(ii)\u3000\\(l , m\\) \u3092 \\(1\\) \u3067\u3082 \\(n\\) \u3067\u3082\u306a\u3044 \\(n\\) \u306e\u6b63\u306e\u7d04\u6570\u3068\u3059\u308b\u3068, \u5fc5\u305a\r\n\\[\r\n| l-m | \\leqq 2\r\n\\]\r\n\u3067\u3042\u308b.<\/p><\/li>\r\n<\/ol>\r\n<p>\u3053\u306e\u3068\u304d, \u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u3088.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(n\\) \u304c\u5076\u6570\u306e\u3068\u304d, (i) , (ii) \u3092\u307f\u305f\u3059 \\(n\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(n\\) \u304c \\(7\\) \u306e\u500d\u6570\u306e\u3068\u304d, (i) , (ii) \u3092\u307f\u305f\u3059 \\(n\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(2 \\leqq n \\leqq 1000\\) \u306e\u7bc4\u56f2\u3067, (i) , (ii) \u3092\u307f\u305f\u3059 \\(n\\) \u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>\u6761\u4ef6\u3092\u307f\u305f\u3059 \\(n\\) \u306b\u3064\u3044\u3066, \\(n\\) \u3092\u7d20\u56e0\u6570\u5206\u89e3\u3057\u305f\u5f62\u306b\u3088\u3063\u3066\u5834\u5408\u5206\u3051\u3057\u3066\u8003\u3048\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\\(n = p^k \\) \uff08 \\(p\\) \u306f\u7d20\u56e0\u6570, \\(k\\) \u306f\u81ea\u7136\u6570\uff09\u306e\u3068\u304d<br \/>\r\n\u6761\u4ef6 (ii) \u3088\u308a, \u6761\u4ef6\u3092\u307f\u305f\u3059\u306e\u306f\r\n<ul>\r\n<li><p>\\(p=2\\) \u304b\u3064 \\(k=2 , 3\\) \u306e\u3068\u304d ... [A]<\/li>\r\n<li><p>\\(p \\neq 2\\) \u304b\u3064 \\(k=2\\) \u306e\u3068\u304d ... [B]<\/li>\r\n<\/ul><\/p><\/li>\r\n<li><p><strong>2*<\/strong>\u3000\\(n = p^k q^l\\) \uff08 \\(p , q\\) \u306f\u7d20\u56e0\u6570, \\(k , l\\) \u306f\u81ea\u7136\u6570\uff09\u306e\u3068\u304d<br \/>\r\n\u6761\u4ef6 (ii) \u3088\u308a, \u6761\u4ef6\u3092\u307f\u305f\u3059\u306e\u306f\r\n<ul>\r\n<li><p>\\(|p-q| \\leqq 2\\) \u304b\u3064 \\(k = l = 1\\) \u306e\u3068\u304d ... [C]<\/li>\r\n<\/ul>\r\n<\/p><\/li>\r\n<li><p><strong>3*<\/strong>\u3000\\(n\\) \u304c\u7d20\u56e0\u6570\u3092 \\(3\\) \u3064\u4ee5\u4e0a\u3082\u3064\u3068\u304d<br \/>\r\n\\(3\\) \u3064\u306e\u7d20\u56e0\u6570\u306b\u306f, \u5dee\u304c \\(3\\) \u4ee5\u4e0a\u306b\u306a\u308b\u7d44\u304c\u5c11\u306a\u304f\u3068\u3082 \\(1\\) \u7d44\u3042\u308b\u306e\u3067, \u6761\u4ef6\u3092\u307f\u305f\u3059 \\(n\\) \u306f\u5b58\u5728\u3057\u306a\u3044.<\/p><\/li>\r\n<\/ol>\r\n<p>\u4ee5\u4e0a\u306e\u3053\u3068\u304b\u3089, \\(n\\) \u304c\u5076\u6570\u306e\u3068\u304d\u306f<\/p>\r\n<ol>\r\n<li>[A] \u306b\u3064\u3044\u3066\r\n\\[\r\n2^2 =4 , \\ 2^3 =8\n\\]<\/li>\r\n<li>[C] \u306b\u3064\u3044\u3066\r\n\\[\r\n2 \\cdot 3 =6\n\\]<\/li>\r\n<\/ol>\r\n<p>\u3088\u3063\u3066\r\n\\[\r\nn = \\underline{4 , 6 , 8}\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>\\(n\\) \u304c \\(7\\) \u306e\u500d\u6570\u306e\u3068\u304d\u306f<\/p>\r\n<ol>\r\n<li>[B] \u306b\u3064\u3044\u3066\r\n\\[\r\n7^2 =49\n\\]<\/li>\r\n<li>[C] \u306b\u3064\u3044\u3066\r\n\\[\r\n5 \\cdot 7 =35\n\\]<\/li>\r\n<\/ol>\r\n<p>\u3088\u3063\u3066\r\n\\[\r\nn =\\underline{35 , 49}\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<ol>\r\n<li>[A] \u306b\u3064\u3044\u3066\r\n\\[\r\n2^2 =4 , \\ 2^3 =8\n\\]<\/li>\r\n<li>[B] \u306b\u3064\u3044\u3066, \\(33^2 \\lt 1000 \\lt 34^2\\) \u306a\u306e\u3067\r\n\\[\\begin{align}\r\n& 3^2 =9 , \\ 5^2 =25 , \\ 7^2 =49 , \\ 11^2 =121 , \\ 13^2 =169 , \\\\\r\n& 17^2 =289 , \\ 19^2 =361 , \\ 23^2 =529 , \\ 29^2 =841 , \\ 31^2 =961\n\\end{align}\\]<\/li>\r\n<li>[C] \u306b\u3064\u3044\u3066, \\(31 \\cdot 33 \\lt 1000 \\lt 33 \\cdot 35\\) \u306a\u306e\u3067\r\n\\[\\begin{align}\r\n& 2 \\cdot 3 =6 , \\ 3 \\cdot 5 =15 , \\ 5 \\cdot 7 =35 , \\ 11 \\cdot 13 =143 , \\\\\r\n& 17 \\cdot 19 =323 , \\ 29 \\cdot 31 =899\n\\end{align}\\]<\/li>\r\n<\/ol>\r\n<p>\u3088\u3063\u3066\r\n\\[\\begin{align}\r\nn & =\\underline{4 , 6 , 8 , 9 , 15 , 25 , 35 , 49 , 121 , 143 , } \\\\\r\n& \\qquad \\underline{169 , 289 , 323 , 361 , 529 , 841 , 899 , 961}\n\\end{align}\\]\r\n","protected":false},"excerpt":{"rendered":"\u6b21\u306e \\(2\\) \u3064\u306e\u6761\u4ef6 (i) , (ii) \u3092\u307f\u305f\u3059\u81ea\u7136\u6570 \\(n\\) \u306b\u3064\u3044\u3066\u8003\u3048\u308b. (i)\u3000\\(n\\) \u306f\u7d20\u6570\u3067\u306f\u306a\u3044. (ii)\u3000\\(l , m\\) \u3092 \\(1\\) \u3067\u3082 \\(n\\) \u3067\u3082\u306a\u3044 \\(n\\)  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/osr201202\/\">\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":[60],"tags":[142,68],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2012","tag-osaka_r","tag-68"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/387","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=387"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/387\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}