{"id":4811,"date":"2025-08-30T10:00:35","date_gmt":"2025-08-30T01:00:35","guid":{"rendered":"https:\/\/winroadrikeijyuku.com\/oita\/?p=4811"},"modified":"2025-08-27T14:42:08","modified_gmt":"2025-08-27T05:42:08","slug":"%e6%95%b4%e6%95%b0%e5%95%8f%e9%a1%8c%e3%81%9d%e3%81%ae%ef%bc%93-%e4%ba%ac%e9%83%bd%e5%a4%a72019-%e5%a4%a7%e5%88%86%e5%b8%82-%e5%a4%a7%e5%ad%a6%e5%8f%97%e9%a8%93-%e6%95%b0%e5%ad%a6-%e5%a1%be","status":"publish","type":"post","link":"https:\/\/winroadrikeijyuku.com\/oita\/2025\/08\/30\/%e6%95%b4%e6%95%b0%e5%95%8f%e9%a1%8c%e3%81%9d%e3%81%ae%ef%bc%93-%e4%ba%ac%e9%83%bd%e5%a4%a72019-%e5%a4%a7%e5%88%86%e5%b8%82-%e5%a4%a7%e5%ad%a6%e5%8f%97%e9%a8%93-%e6%95%b0%e5%ad%a6-%e5%a1%be\/","title":{"rendered":"\u6574\u6570\u554f\u984c\u305d\u306e\uff13 \u6771\u4eac\u5927(2019)  | \u5927\u5206\u5e02 \u5927\u5b66\u53d7\u9a13 \u6570\u5b66 \u587e | \u5927\u5206\u7406\u7cfb\u5c02\u9580\u587eWINROAD"},"content":{"rendered":"<p>\u554f\u984c<\/p>\n<p>n\u3092\uff11\u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b\u3002<\/p>\n<p>(1) \u200b<span class=\"math inherit-color\">\\( n^2+1 \\)<\/span>\u200b\u3068\u200b<span class=\"math inherit-color\">\\( 5n^2+9 \\)<\/span>\u200b\u306e\u6700\u5927\u516c\u7d04\u6570\u200b<span class=\"math inherit-color \">\\( d_ n \\)<\/span>\u200b\u3092\u6c42\u3081\u3088\u3002<\/p>\n<p>(2) \u200b<span class=\"math inherit-color\">\\( (n^2+1)(5n^2+9) \\)<\/span>\u200b\u306f\u6574\u6570\u306e\uff12\u4e57\u306b\u306a\u3089\u306a\u3044\u3053\u3068\u3092\u793a\u305b\u3002(2019 \u6771\u4eac\u5927)<\/p>\n<hr \/>\n<p>(1) \u200b<span class=\"math inherit-color\">\\( 5n^2+9=5(n^2+1)+4 \\)<\/span>\u200b\u3088\u308a\u200b<span class=\"math inherit-color\">\\( n^2+1 \\)<\/span>\u200b\u3068\u200b<span class=\"math inherit-color\">\\( 5n^2+9 \\)<\/span>\u200b\u306e\u6700\u5927\u516c\u7d04\u6570\u200b\u306f<\/p>\n<p>\u200b<span class=\"math inherit-color \">\\( n^2+1 \\)<\/span>\u200b\u3068\uff14\u306e\u6700\u5927\u516c\u7d04\u6570\u3068\u7b49\u3057\u3044\u3002<\/p>\n<p>\u2460 n\u304c\u5076\u6570\u306e\u6642\u200b<span class=\"math inherit-color \">\\( n^2+1 \\)<\/span>\u200b\u306f\u5947\u6570\u3068\u306a\u308a\uff14\u3068\u306e\u6700\u5927\u516c\u7d04\u6570\u306f\uff11<\/p>\n<p>\u2461 n\u304c\u5947\u6570\u306e\u3068\u304d\u200b<span class=\"math inherit-color \">\\( n=2m-1 \\)<\/span>\u200b\u3068\u304a\u304f\u3068<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( n^2+1=(2m-1)^2+1=4m^2-4m+2=2(2m^2-2m+1) \\)<\/span>\u200b\u3068\uff14\u306e\u6700\u5927\u516c\u7d04\u6570\u306f<\/p>\n<p>\u200b<span class=\"math inherit-color \">\\( 2m^2-2m+1 \\)<\/span>\u200b\u306f\u5947\u6570\u3067\u3042\u308b\u306e\u3067\uff12<\/p>\n<p>\u2460\u3001\u2461\u3088\u308a<\/p>\n<p>n\u304c\u5947\u6570\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( d_n=2 \\)<\/span>\u200b\u3001n\u304c\u5076\u6570\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( d_n=1\\)<\/span>\u200b<\/p>\n<p>(2) <span class=\"math inherit-color\">\\( (n^2+1)(5n^2+9) \\)<\/span>\u200b\u304c\u5e73\u65b9\u6570\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3068<\/p>\n<p>\u2460 n\u304c\u5076\u6570\u306e\u6642\u200b<span class=\"math inherit-color\">\\( n^2+1 \\)<\/span>\u200b\u3068\u200b<span class=\"math inherit-color\">\\( 5n^2+9 \\)<\/span>\u200b\u306f\u4e92\u3044\u306b\u7d20\u306a\u306e\u3067<\/p>\n<p><span class=\"math inherit-color\">\\( (n^2+1)(5n^2+9) \\)<\/span>\u200b\u304c\u5e73\u65b9\u6570\u306a\u3089\u3070\u3001\u305d\u308c\u305e\u308c\u304c\u5e73\u65b9\u6570\u3068\u306a\u308a<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( n^2+1=p^2 \\)<\/span>\u3001<span class=\"math inherit-color\">\\( 5n^2+9 =q^2\\)<\/span>\u200b\u3068\u304a\u3051\u308b\u3002<\/p>\n<p>\u3053\u3053\u3067\u200b<span class=\"math inherit-color\">\\( n^2\\lt n^2+1\\lt n^2+2t+1=(n+1)^2 \\)<\/span>\u200b\u3067\u3042\u308b\u306e\u3067\u200b<span class=\"math inherit-color\">\\( n^2\\lt p^2\\lt (n+1)^2 \\)<\/span>\u200b<\/p>\n<p>\u3053\u308c\u306fp\u304c\u6574\u6570\u3067\u3042\u308b\u3053\u3068\u306b\u77db\u76fe\u3059\u308b\u3002<\/p>\n<p>\u2461 n\u304c\u5947\u6570\u306e\u3068\u304d\u3001\u200b<span class=\"math inherit-color\">\\( n^2+1 \\)<\/span>\u200b\u3068\u200b<span class=\"math inherit-color\">\\( 5n^2+9 \\)<\/span>\u200b\u306e\u6700\u5927\u516c\u7d04\u6570\u306f\uff12\u306a\u306e\u3067<\/p>\n<p><span class=\"math inherit-color\">\\( (n^2+1)(5n^2+9) \\)<\/span>\u200b\u304c\u5e73\u65b9\u6570\u306a\u3089\u3070\u3001\u200b<span class=\"math inherit-color\">\\( n^2+1=2p^2 \\)<\/span>\u3001<span class=\"math inherit-color\">\\( 5n^2+9 =2q^2\\)<\/span>\u200b\u3068\u304a\u3051\u308b\u3002<\/p>\n<p><span class=\"math inherit-color\">\\( 5n^2+9 =2q^2\\equiv4(mod 5)\\)<\/span><\/p>\n<p>\uff12\u3068\uff15\u306f\u4e92\u3044\u306b\u7d20\u306a\u306e\u3067\u200b<span class=\"math inherit-color\">\\( q^2\\equiv2(mod 5) \\)<\/span>\u200b<\/p>\n<p>\u3053\u3053\u3067<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( q\\equiv0(mod5) \\)<\/span>\u200b\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( q^2\\equiv0(mod5) \\)<\/span>\u200b\u3001<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( q\\equiv1(mod5) \\)<\/span>\u200b\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( q^2\\equiv1(mod5) \\)<\/span>\u200b\u3001<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( q\\equiv2(mod5) \\)<\/span>\u200b\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( q^2\\equiv4(mod5) \\)<\/span>\u200b\u3001<\/p>\n<p>\u200b<span class=\"math inherit-color\">\\( q\\equiv3(mod5) \\)<\/span>\u200b\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( q^2\\equiv4(mod5) \\)<\/span>\u200b\u3001<\/p>\n<p><span class=\"math inherit-color\">\\( q\\equiv4(mod5) \\)<\/span>\u200b\u306e\u3068\u304d\u200b<span class=\"math inherit-color\">\\( q^2\\equiv1(mod5) \\)<\/span>\u200b\u3001<\/p>\n<p>\u3053\u308c\u3089\u306f\u200b<span class=\"math inherit-color\">\\( q^2\\equiv2(mod 5) \\)<\/span>\u200b\u306b\u77db\u76fe\u3059\u308b\u3002<\/p>\n<p>\u2460\u3001\u2461\u3088\u308a<\/p>\n<p><span class=\"math inherit-color\">\\( (n^2+1)(5n^2+9) \\)<\/span>\u200b\u306f\u6574\u6570\u306e\uff12\u4e57\u306b\u306a\u3089\u306a\u3044\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\uff08\u5927\u5206\u7406\u7cfb\u5c02\u9580\u587e<span class=\"s1\">WINROAD <\/span>\u9996\u85e4\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u554f\u984c n\u3092\uff11\u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b\u3002 (1) \u200b\\( n^2+1 \\)\u200b\u3068\u200b\\( 5n^2+9 \\)\u200b\u306e\u6700\u5927\u516c\u7d04\u6570\u200b\\( d_ n \\)\u200b\u3092\u6c42\u3081\u3088\u3002 (2) \u200b\\( (n^2+1)(5n^2+9) \\)\u200b\u306f\u6574\u6570\u306e\uff12\u4e57\u306b\u306a\u3089\u306a\u3044<\/p>\n<p><a href=\"https:\/\/winroadrikeijyuku.com\/oita\/2025\/08\/30\/%e6%95%b4%e6%95%b0%e5%95%8f%e9%a1%8c%e3%81%9d%e3%81%ae%ef%bc%93-%e4%ba%ac%e9%83%bd%e5%a4%a72019-%e5%a4%a7%e5%88%86%e5%b8%82-%e5%a4%a7%e5%ad%a6%e5%8f%97%e9%a8%93-%e6%95%b0%e5%ad%a6-%e5%a1%be\/\" class=\"more-link\">\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"vkexunit_cta_each_option":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-4811","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4811","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/comments?post=4811"}],"version-history":[{"count":5,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4811\/revisions"}],"predecessor-version":[{"id":4818,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/4811\/revisions\/4818"}],"wp:attachment":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/media?parent=4811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/categories?post=4811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/tags?post=4811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}