{"id":13917,"date":"2013-09-09T00:41:51","date_gmt":"2013-09-08T16:41:51","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=13917"},"modified":"2017-08-01T21:13:47","modified_gmt":"2017-08-01T13:13:47","slug":"%e3%80%90%e7%a7%91%e5%ad%b8%e5%a4%a7%e4%ba%ba%e7%89%a9%e3%80%91%e5%bc%b5%e7%9b%8a%e5%94%90-%e5%8d%8a%e7%94%9f%e7%a3%a8%e5%8a%8d%ef%bc%8c%e4%b8%80%e8%88%89%e6%8f%9a%e5%90%8d%e5%a4%a9%e4%b8%8b%e7%9f%a5","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=13917","title":{"rendered":"\u3010\u79d1\u5b78\u5927\u4eba\u7269\u3011\u5f35\u76ca\u5510-\u534a\u751f\u78e8\u528d\uff0c\u4e00\u8209\u63da\u540d\u5929\u4e0b\u77e5\u7684\u6578\u5b78\u5bb6"},"content":{"rendered":"<p><span style=\"color: #800000;\"><strong>\u25a0 <\/strong><strong>\u4e00\u500b\u8cea\u6a38\u5e73\u6de1\uff0c\u7121\u8996\u5916\u5728\u4e16\u754c\u7d1b\u7d1b\u64fe\u64fe\uff0c\u5c0d\u71b1\u611b\u7684\u5b78\u8853\u7814\u7a76\u53c8\u6709\u8457\u7121\u6bd4\u6bc5\u529b\u7684\u6578\u5b78\u5bb6\u6545\u4e8b\u3002<\/strong><\/span><\/p>\n<p><strong>\u4f5c\u8005<\/strong>\u2502\u9673\u6587\u6960\uff08\u570b\u7acb\u6e05\u83ef\u5927\u5b78\u7269\u7406\u6240\u7562\uff09<br \/>\n<strong>\u8cac\u7de8<\/strong>\u2502Vita Chen\uff08\u570b\u7acb\u81fa\u7063\u5927\u5b78\u79d1\u5b78\u6559\u80b2\u767c\u5c55\u4e2d\u5fc3\uff09<\/p>\n<p style=\"text-align: center;\">\uff08\u5e8f\uff09<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u57282013\u5e74\u7684\u6578\u5b78\u754c\u6709\u500b\u6fc0\u52f5\u4eba\u5fc3\u7684\u7814\u7a76\u8207\u7a81\u7834\uff0c\u9f13\u821e\u4e86\u8a31\u591a\u9ed8\u9ed8\u5f9e\u4e8b\u5b78\u8853\u7814\u7a76\u7684\u5b78\u8005\u5011\uff0c\u5176\u7814\u7a76\u7684\u91cd\u8981\u6027\u8207\u7a81\u7834\u548c\u4e3b\u89d2\u50b3\u5947\u6027\u7684\u4eba\u751f\uff0c\u90fd\u8b93\u4eba\u60f3\u8d77\u767e\u9918\u5e74\u524d\u4e00\u4ee3\u7269\u7406\u5b78\u5de8\u64d8\u611b\u56e0\u65af\u5766\u7684\u5883\u9047\u3002\u9019\u5c31\u662f\u672c\u6587\u8981\u4ecb\u7d39\u7684\u4e3b\u89d2\uff0c\u83ef\u4eba\u6578\u5b78\u5bb6\u5f35\u76ca\u5510\u7684\u6545\u4e8b\u3002<\/p>\n<p>\u5728\u8b1b\u8ff0\u5f35\u76ca\u5510\u4e0d\u51e1\u7684\u4e00\u751f\u524d\uff0c\u5148\u8ac7\u8ac7\u4ed6\u4eca\u5e74\u56db\u6708\u6295\u7a3f\u5728\u6578\u5b78\u5e74\u520a\u300aAnnals of Mathematics\u300b\u7684\u4e00\u7bc7\u8ad6\u6587\u201c\u8cea\u6578\u9593\u7684\u6709\u9650\u9593\u8ddd\u201d\u300aBounded gaps between primes\u300b\u3002\u5728\u9019\u7bc7\u8ad6\u6587\u4e2d\uff0c\u4ed6\u9996\u6b21\u8b49\u660e\u4e86\u7121\u7aae\u591a\u7684\u5b7f\u751f\u8cea\u6578\u5c0d\uff0c\u5176\u5dee\u5c0f\u65bc\u4e03\u5343\u842c\u3002<\/p>\n<figure id=\"attachment_13918\" aria-describedby=\"caption-attachment-13918\" style=\"width: 553px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/case.ntu.edu.tw\/blog\/?attachment_id=13918\" rel=\"attachment wp-att-13918\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-large wp-image-13918 \" title=\"\u5f35\u76ca\u5510\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2013\/09\/.png-1024x638.png\" alt=\"\" width=\"553\" height=\"345\" \/><\/a><figcaption id=\"caption-attachment-13918\" class=\"wp-caption-text\">\u5f35\u76ca\u5510\u6295\u7a3f\u300aAnnals of Mathematics\u300b\u4e4b\u8ad6\u6587<\/figcaption><\/figure>\n<p><!--more--><br \/>\n\u6b64\u4e00\u95dc\u65bc\u8cea\u6578\u7684\u7814\u7a76\uff0c\u89e3\u6c7a\u4e86\u4eba\u5011\u9577\u4e45\u4f86\u5c0d\u65bc\u5b7f\u751f\u8cea\u6578\u662f\u5426\u5177\u6709\u7121\u7aae\u591a\u7684\u5206\u4f48\u9019\u4e00\u731c\u60f3\u3002\u90a3\u9019\u6a23\u7684\u4e00\u500b\u7814\u7a76\uff0c\u662f\u5c6c\u65bc\u4e00\u500b\u5927\u554f\u984c\u5462\uff1f\u9084\u662f\u6578\u5b78\u7814\u7a76\u7684\u4e00\u500b\u5c0f\u5206\u652f\u5462\uff1f\u6211\u5011\u53ef\u4ee5\u7531\u5b83\u96b8\u5c6c\u65bc\u8457\u540d\u7684\u5e0c\u723e\u4f2f\u727923\u500b\u6578\u5b78\u554f\u984c\uff0c\u800c\u5f97\u77e5\u5f35\u76ca\u5510\u7684\u7814\u7a76\u662f\u6975\u5176\u91cd\u8981\u7684\uff01\u90a3\u4ec0\u9ebc\u662f\u5e0c\u723e\u4f2f\u7279\u768423\u500b\u57fa\u672c\u554f\u984c\u5462?\u9019\u662f\u4e00\u4ee3\u6578\u5b78\u5de8\u4eba---\u5341\u4e5d\u4e16\u7d00\u6578\u5b78\u5bb6\u4ee3\u8868\u5927\u885b-\u5e0c\u723e\u4f2f\u7279\uff08David Hilbert\uff09\uff0c\u65bc1900\u5e74\u5728\u5df4\u9ece\u53ec\u958b\u7684\u570b\u969b\u6578\u5b78\u5bb6\u5927\u6703\uff0c\u5728\u4e00\u7cfb\u5217\u6f14\u8b1b\u201c\u6578\u5b78\u554f\u984c\u201d\u4e2d\u63d0\u51fa23\u500b\u4ed6\u5c0d\u65bc\u6578\u5b78\u9019\u9580\u5b78\u554f\u5168\u9762\u601d\u8003\u7684\u57fa\u672c\u554f\u984c\uff0c\u5176\u76f4\u63a5\u5f71\u97ff\u4e86\u6574\u500b\u4e8c\u5341\u4e16\u7d00\u7684\u6578\u5b78\u7814\u7a76\u767c\u5c55\u65b9\u5411\u3002\u5728\u9019\u4e8c\u5341\u4e09\u500b\u554f\u984c\u4e2d\uff0c1-6\u662f\u6578\u5b78\u57fa\u672c\u554f\u984c\uff0c7-12\u662f\u6578\u8ad6\u554f\u984c\uff0c13-18\u662f\u4ee3\u6578\u8207\u5e7e\u4f55\u554f\u984c\uff0c19-23\u662f\u5c6c\u65bc\u6578\u5b78\u5206\u6790\u554f\u984c\u3002\u901923\u500b\u554f\u984c\u7d93\u904e\u6574\u6574\u4e00\u4e16\u7d00\u7684\u596e\u9b25\uff0c\u5927\u90e8\u4efd\u5df2\u7d93\u7372\u5f97\u89e3\u6c7a\u4e86\uff0c\u4f46\u4ecd\u6709\u5c11\u6578\u4ecd\u672a\u653b\u514b\u3002\u800c\u6700\u65b0\u88ab\u8b49\u660e\u7684\uff0c\u5c31\u662f\u7b2c8\u9053\u554f\u984c\u4e2d\u95dc\u65bc\u5b7f\u751f\u8cea\u6578\u7684\u731c\u60f3\u3002<\/p>\n<p>\u5e0c\u723e\u4f2f\u7279\u7576\u5e74\u63d0\u51fa\u7684\u554f\u984c\u662f : \u5b58\u5728\u7121\u7aae\u591a\u500b\u8cea\u6578P\uff0c\u8207\uff30\uff0b2\u90fd\u662f\u8cea\u6578\u3002\u5beb\u6210\u6578\u5b78\u5c31\u662f\uff08P, P+2\uff09\u90fd\u662f\u8cea\u6578\uff0c\u800c\u9019\u6a23\u76f8\u5dee2\u7684\u8cea\u6578\u5c0d\u7a31\u70ba\u300c\u5b7f\u751f\u8cea\u6578\u300d\uff0c\u6839\u64da\u5e0c\u723e\u4f2f\u7279\u7684\u63d0\u554f\uff0c\u4ed6\u8a8d\u70ba\u61c9\u8a72\u5b58\u5728\u7121\u7aae\u591a\u5c0d\u9019\u6a23\u7684\u76f8\u5dee2\u7684\u5b7f\u751f\u8cea\u6578\uff0c\u4f46\u5982\u679c\u5b58\u5728\u8a72\u5982\u4f55\u53bb\u8b49\u660e\u5462\uff1f\u9019\u5c31\u662f\u767e\u9918\u5e74\u4f86\u6578\u5b78\u5bb6\u60f3\u653b\u514b\u7684\u5de8\u5927\u76ee\u6a19\u4e4b\u4e00\u3002\u800c\u4eca\u5e74\u56db\u6708\uff0c\u5f35\u76ca\u5510\u63d0\u51fa\u4e00\u500b\u6709\u6548\u7684\u8b49\u660e\u65b9\u5f0f\uff0c\u8b49\u660e\u4e86\u5c07\u5177\u6709\u7121\u7aae\u591a\u5c0d\u7684\u8cea\u6578\u5c0d\uff0c\u5176\u5dee\u503cd\u5c0f\u65bc\u4e03\u5343\u842c\uff0c\u4e5f\u5c31\u662f(p, p+d)\u9019\u6a23\u7684\u8cea\u6578\u5c0d\u5177\u6709\u7121\u7aae\u591a\u5c0d\uff0c\u800cd\u5c0f\u65bc\u4e03\u5343\u842c\uff0c\u521d\u770b\u4e4b\u4e0b\uff0c\u4f3c\u4e4e\u4ecd\u672a\u89e3\u6c7a\u5e0c\u723e\u4f2f\u7279\u7576\u5e74\u63d0\u51fad=2\u7684\u60c5\u6cc1\uff0c\u4f46\u5f35\u76ca\u5510\u662f\u63d0\u51fa\u4e00\u500b\u6709\u6548\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u4e0d\u65b7\u7684\u4e0b\u4fee\u5dee\u503cd\uff0c\u800c\u6b64\u4e00\u65b9\u6cd5\u7c21\u6f54\u53c8\u6709\u6548\uff0c\u56e0\u6b64\u7acb\u523b\u8f5f\u52d5\u5168\u7403\u6578\u5b78\u754c\uff0c\u6709\u505a\u8cea\u6578\u76f8\u95dc\u7814\u7a76\u7684\uff0c\u5e7e\u4e4e\u90fd\u7acb\u523b\u6295\u5165\u5229\u7528\u5f35\u76ca\u5510\u7684\u65b9\u6cd5\u4f86\u4e0b\u4fee\u5dee\u503cd\uff0c\u622a\u81f32013\u5e747\u6708\uff0c\u5dee\u503cd\u5df2\u7d93\u88ab\u4fee\u6b63\u5230\u4e94\u5343\u591a\uff0c\u8ddd\u96e2\u7d42\u6975\u76ee\u6a19\u201d2\u201d\u5df2\u7d93\u4e0d\u9060\u4e86\u3002<\/p>\n<figure id=\"attachment_13921\" aria-describedby=\"caption-attachment-13921\" style=\"width: 254px\" class=\"wp-caption alignright\"><a href=\"http:\/\/case.ntu.edu.tw\/blog\/?attachment_id=13921\" rel=\"attachment wp-att-13921\"><img decoding=\"async\" class=\"size-full wp-image-13921\" title=\"moon palace\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2013\/09\/moon-palace.jpg\" alt=\"\" width=\"254\" height=\"399\" \/><\/a><figcaption id=\"caption-attachment-13921\" class=\"wp-caption-text\">\u300a\u6708\u5bae\u300b<\/figcaption><\/figure>\n<p>\u5728\u767e\u9918\u5e74\u8207\u5b7f\u751f\u8cea\u6578\u731c\u60f3\u640f\u9b25\u7684\u6b77\u7a0b\u4e2d\uff0c\u63d0\u51fa\u6700\u7d42\u6230\u7565\u7d66\u4e88\u4e00\u64ca\u7684\u5f35\u76ca\u5510\u5230\u5e95\u662f\u4f55\u8a31\u4eba\u4e5f\u5462\uff1f\u662f\u624d\u6c23\u7165\u767c\u5982\u540c\u96fb\u5f71\u5fc3\u9748\u6355\u624b\u9ea5\u7279\u6234\u8499\u98fe\u6f14\u7684\u9752\u5e74\u6578\u5b78\u5929\u624d\uff1f\u9084\u662f\u5728\u53f2\u4e39\u4f5b\u6216\u9ebb\u7701\u7406\u5de5\u4efb\u6559\uff0c\u5e74\u9f61\u5728\u56db\u5341\u6b72\u4ee5\u4e0b\u5df2\u62ff\u4e0b\u83f2\u723e\u8332\u596c\u70ba\u8077\u5fd7\u7684\u9752\u5e74\u6559\u6388\u5462\uff1f\u4f46\u51fa\u4e4e\u4eba\u610f\u6599\u4e4b\u5916\u7684\uff0c\u5f35\u76ca\u5510\u53ea\u662f\u5728\u7f8e\u570b\u4e00\u500b\u7b97\u662f\u9109\u4e0b\uff0c\u9084\u4e0d\u932f\u7684\u65b0\u7f55\u5e03\u590f\u5927\u5b78\u6578\u5b78\u7cfb\u4efb\u6559\u591a\u5e74\u7684\u8b1b\u5e2b\uff0c\u800c\u4e14\u9084\u5e74\u8fd1\u516d\u5341\u6b72\u3002\u9019\u6a23\u7684\u4e00\u500b\u5e74\u7d00\u8207\u8077\u4f4d\uff0c\u5728\u4e00\u822c\u793e\u6703\u5927\u773e\u7684\u773c\u5149\u4e2d\uff0c\u662f\u5931\u6557\u7684\u3002\u5c31\u5982\u540c\u4fdd\u7f85\u5967\u65af\u7279\u7b46\u4e0b\u7684\u5c0f\u8aaa\u300a\u6708\u5bae\u300b\uff0c\u4e3b\u89d2\u7684\u7236\u89aa\uff0c\u7531\u65bc\u5b78\u8853\u7814\u7a76\u751f\u6daf\u5931\u6557\uff0c\u53ea\u80fd\u5728\u7f8e\u570b\u5167\u9678\u4e8c\u6d41\u5b78\u9662\u4e2d\u6d41\u8f49\u7576\u500b\u842c\u5e74\u8b1b\u5e2b\uff0c\u662f\u500b\u65e2\u4e0d\u5bcc\u6709\uff0c\u4e5f\u6c92\u4ec0\u9ebc\u793e\u6703\u5730\u4f4d\u7684\u4eba\u3002\u800c\u5728\u79d1\u5b78\u793e\u7fa4\u7684\u8a55\u50f9\u4e2d\uff0c\u4e00\u500b\u5e74\u8fd1\u516d\u5341\uff0c\u7d14\u6559\u5b78\u7684\u8b1b\u5e2b\uff0c\u5176\u751f\u6daf\u7b49\u540c\u662f\u4fdd\u7f85\u5967\u65af\u7279\u53e6\u4e00\u672c\u8457\u4f5c\u300a\u5e03\u9b6f\u514b\u6797\u7684\u7d0d\u5584\u5148\u751f\u300b\u4e2d\uff0c\u7537\u4e3b\u89d2\u7684\u5916\u7525\u6e6f\u59c6\u4e00\u6a23\u3002\u6e6f\u59c6\u653b\u8b80\u535a\u58eb\u591a\u5e74\uff0c\u4f46\u6700\u7d42\u7121\u6cd5\u5b8c\u6210\u535a\u58eb\u8ad6\u6587\u61a4\u800c\u71d2\u6bc0\uff0c\u53ea\u80fd\u5728\u7d10\u7d04\u8857\u982d\u958b\u8a08\u7a0b\u8eca\u70ba\u751f\u3002\u5728\u73fe\u4ee3\u7684\u79d1\u5b78\u793e\u7fa4\u4e2d\u842c\u5e74\u8b1b\u5e2b\u8207\u8a08\u7a0b\u8eca\u53f8\u6a5f\u662f\u4e00\u6a23\u7684\u3002<\/p>\n<p>\u800c\u672c\u6587\u7684\u4e3b\u89d2\u5f35\u76ca\u5510\uff0c\u4e5f\u6709\u8457\u985e\u4f3c\u6e6f\u59c6\u822c\u7684\u969b\u9047\uff0c\u535a\u58eb\u8ad6\u6587\u4e0d\u9806\uff0c\u6c42\u8077\u4e0d\u9806\u3002\u5728\u5c0f\u8aaa\u4e2d\uff0c\u6e6f\u59c6\u958b\u8d77\u4e86\u8a08\u7a0b\u8eca\uff0c\u800c\u5f35\u76ca\u5510\u5247\u662f\u5728\u53d6\u5f97\u666e\u6e21\u5927\u5b78\u535a\u58eb\u5f8c\uff0c\u767e\u822c\u6c42\u8077\u4e0d\u9806\uff0c\u4e00\u5ea6\u5728\u9023\u9396\u5feb\u9910\u5e97Subway\u5de5\u4f5c\u8d77\u4f86\u3002\u4f46\u73fe\u5be6\u5f80\u5f80\u6bd4\u5c0f\u8aaa\u66f4\u7cbe\u5f69\uff0c\u9019\u53e5\u8001\u8a71\u4e00\u518d\u7684\u88ab\u5370\u8b49\u8457\uff0c\u5f35\u76ca\u5510\u985b\u6c9b\u6b21\u6d41\u96e2\u7684\u524d\u534a\u6bb5\u4eba\u751f\uff0c\u662f\u4f5c\u5bb6\u53ef\u4ee5\u6839\u64da\u7d93\u9a57\u3001\u6839\u64da\u60f3\u50cf\u529b\u767c\u63ee\u5728\u5c0f\u8aaa\u4e2d\u7684\uff0c\u4f46\u5176\u5341\u5e74\u78e8\u4e00\u528d\uff08\u5c0d\u7167\u5176\u6c88\u6f5b\u4e4b\u4e45 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