{"id":3659,"date":"2026-06-12T11:38:36","date_gmt":"2026-06-12T03:38:36","guid":{"rendered":"https:\/\/deepbule.store\/?p=3659"},"modified":"2026-06-12T11:38:36","modified_gmt":"2026-06-12T03:38:36","slug":"%e3%80%8a%e3%80%8a%e8%b4%b9%e9%a9%ac%e5%a4%a7%e5%ae%9a%e7%90%86%e3%80%8b-%e6%95%b0%e5%ad%a6%e5%8f%b2-%e6%95%b0%e8%ae%ba-%e8%b4%b9%e9%a9%ac%e3%80%8b%e9%98%85%e8%af%bb%e7%ac%94%e8%ae%b0","status":"publish","type":"post","link":"https:\/\/deepbule.store\/?p=3659","title":{"rendered":"\u300a\u300a\u8d39\u9a6c\u5927\u5b9a\u7406\u300b \u2014 \u6570\u5b66\u53f2\/\u6570\u8bba\/\u8d39\u9a6c\u300b\u9605\u8bfb\u7b14\u8bb0"},"content":{"rendered":"<h1>\u300a\u300a\u8d39\u9a6c\u5927\u5b9a\u7406\u300b \u2014 \u6570\u5b66\u53f2\/\u6570\u8bba\/\u8d39\u9a6c\u300b\u9605\u8bfb\u7b14\u8bb0<\/h1>\n<blockquote>\n<p>\u81ea\u52a8\u751f\u6210 | 2026-06-12 11:38 | \ud83e\udd16 LLM\u76f4\u751f<\/p>\n<\/blockquote>\n<h1>\u300a\u8d39\u9a6c\u5927\u5b9a\u7406\u300b\u9605\u8bfb\u7b14\u8bb0<\/h1>\n<hr \/>\n<h2>\u4e00\u3001\u4f5c\u8005\u4e0e\u80cc\u666f<\/h2>\n<p>\u672c\u4e66\u4f5c\u8005\u897f\u8499\u00b7\u8f9b\u683c\uff08Simon Singh\uff09\uff0c\u82f1\u56fd\u7269\u7406\u5b66\u5bb6\u3001\u79d1\u666e\u4f5c\u5bb6\uff0c1967\u5e74\u751f\u4e8e\u4f26\u6566\uff0c\u6bd5\u4e1a\u4e8e\u5251\u6865\u5927\u5b66\u3002\u4ed6\u4e0d\u4ec5\u662f\u82f1\u56fdBBC\u7535\u89c6\u53f0\u7684\u8d44\u6df1\u8282\u76ee\u5236\u4f5c\u4eba\uff0c\u66f4\u662f\u4e00\u4f4d\u80fd\u5c06\u6df1\u5965\u79d1\u5b66\u77e5\u8bc6\u4ee5\u901a\u4fd7\u4f18\u7f8e\u65b9\u5f0f\u4f20\u9012\u7ed9\u5927\u4f17\u7684\u53d9\u4e8b\u9ad8\u624b\u3002\u6b64\u4e66\u51fa\u7248\u4e8e1997\u5e74\uff0c\u539f\u7248\u82f1\u6587\u540d\u4e3a\u300a<em>Fermat&#8217;s Enigma<\/em>\u300b\u3002<\/p>\n<p>\u5199\u4f5c\u6b64\u4e66\u65f6\uff0c\u8f9b\u683c\u6b63\u5904\u4e8e\u79d1\u5b66\u4f20\u64ad\u7684\u9ec4\u91d1\u65f6\u671f\u3002\u5f7c\u65f6\uff0c\u56f0\u6270\u6570\u5b66\u754c\u4e09\u767e\u4f59\u5e74\u7684\u8d39\u9a6c\u5927\u5b9a\u7406\u521a\u521a\u4e8e1994\u5e74\u88ab\u5b89\u5fb7\u9c81\u00b7\u6000\u5c14\u65af\uff08Andrew Wiles\uff09\u8bc1\u660e\u5b8c\u6bd5\u2014\u2014\u8fd9\u4e00\u6d88\u606f\u57281993\u5e74\u66fe\u56e0\u8bc1\u660e\u4e2d\u7684\u6f0f\u6d1e\u800c\u4e00\u5ea6\u5ef6\u8fdf\uff0c\u76f4\u52301994\u5e74\u6000\u5c14\u65af\u7ed9\u51fa\u4e86\u5b8c\u6574\u7684\u8bc1\u660e\u3002\u8fd9\u4e00\u5386\u53f2\u6027\u4e8b\u4ef6\u7684\u4f59\u6ce2\u5c1a\u672a\u5e73\u606f\uff0c\u8f9b\u683c\u4ee5\u8bb0\u8005\u7684\u654f\u9510\u4e0e\u79d1\u5b66\u5bb6\u7684\u4e25\u8c28\uff0c\u91c7\u8bbf\u4e86\u51e0\u4e4e\u6240\u6709\u4eb2\u5386\u8005\uff0c\u6536\u96c6\u4e86\u5927\u91cf\u4e00\u624b\u8d44\u6599\uff0c\u5c06\u8fd9\u6bb5\u6ce2\u6f9c\u58ee\u9614\u7684\u6570\u5b66\u53f2\u8bd7\u5b8c\u6574\u5730\u5448\u73b0\u7ed9\u8bfb\u8005\u3002<\/p>\n<p>\u8f9b\u683c\u5199\u4f5c\u6b64\u4e66\u7684\u76ee\u7684\uff0c\u4e0d\u4ec5\u662f\u8bb0\u5f55\u4e00\u6bb5\u6570\u5b66\u53f2\uff0c\u66f4\u662f\u5411\u516c\u4f17\u4f20\u8fbe\u4e00\u4e2a\u6df1\u523b\u7684\u4fe1\u606f\uff1a\u6570\u5b66\u5e76\u975e\u51b0\u51b7\u67af\u71e5\u7684\u7b26\u53f7\u6e38\u620f\uff0c\u800c\u662f\u4eba\u7c7b\u667a\u6167\u6700\u58ee\u4e3d\u7684\u6218\u573a\uff0c\u662f\u6fc0\u60c5\u3001\u5b64\u72ec\u3001\u727a\u7272\u4e0e\u8363\u8000\u4ea4\u7ec7\u7684\u4f20\u5947\u3002\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u8fc7\u7a0b\uff0c\u672c\u8eab\u5c31\u662f\u4e00\u90e8\u5173\u4e8e\u575a\u6301\u3001\u521b\u9020\u4e0e\u771f\u7406\u7684\u53f2\u8bd7\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u3001\u6838\u5fc3\u5185\u5bb9<\/h2>\n<p>\u8d39\u9a6c\u5927\u5b9a\u7406\uff08Fermat&#8217;s Last Theorem\uff09\u662f\u6570\u8bba\u53f2\u4e0a\u6700\u5177\u4f20\u5947\u8272\u5f69\u7684\u95ee\u9898\u3002\u5176\u9648\u8ff0\u7b80\u6d01\u5f97\u8fd1\u4e4e\u4f18\u96c5\uff1a<strong>\u5f53\u6574\u6570 n &gt; 2 \u65f6\uff0c\u65b9\u7a0b x\u207f + y\u207f = z\u207f \u6ca1\u6709\u975e\u96f6\u6574\u6570\u89e3\u3002<\/strong> \u8fd9\u4e00\u547d\u9898\u5982\u6b64\u7b80\u5355\uff0c\u4ee5\u81f3\u4e8e\u5341\u4e03\u4e16\u7eaa\u7684\u4e1a\u4f59\u6570\u5b66\u5bb6\u8d39\u9a6c\uff08Pierre de Fermat\uff09\u5728\u4e22\u756a\u56fe\u300a\u7b97\u672f\u300b\u4e00\u4e66\u7684\u7a7a\u767d\u5904\u968f\u624b\u5199\u4e0b\uff1a\u201c\u6211\u6709\u4e00\u4e2a\u7edd\u5999\u7684\u60f3\u6cd5\uff0c\u4f46\u8fd9\u91cc\u7a7a\u767d\u592a\u5c0f\uff0c\u5199\u4e0d\u4e0b\u3002\u201d<\/p>\n<p>\u6b63\u662f\u8fd9\u53e5\u8f7b\u63cf\u6de1\u5199\u7684\u8bdd\uff0c\u5f00\u542f\u4e86\u6570\u5b66\u53f2\u4e0a\u6700\u957f\u4e45\u7684\u63a2\u7d22\u3002<\/p>\n<p>\u4ece\u6b27\u62c9\u3001\u67ef\u897f\u3001\u5e93\u9ed8\u5c14\u5230\u65e0\u6570\u540e\u6765\u8005\uff0c\u4e09\u767e\u591a\u5e74\u95f4\u6570\u5b66\u5bb6\u4eec\u524d\u8d74\u540e\u7ee7\uff0c\u5374\u59cb\u7ec8\u672a\u80fd\u5b8c\u5168\u5f81\u670d\u8fd9\u5ea7\u5821\u5792\u3002\u76f4\u52301993\u5e74\uff0c\u666e\u6797\u65af\u987f\u5927\u5b66\u7684\u82f1\u56fd\u6570\u5b66\u5bb6\u5b89\u5fb7\u9c81\u00b7\u6000\u5c14\u65af\u5728\u5251\u6865\u5927\u5b66\u7684\u5b66\u672f\u62a5\u544a\u5385\u91cc\uff0c\u5411\u4e16\u754c\u5ba3\u5e03\u4ed6\u8bc1\u660e\u4e86\u8fd9\u4e00\u5b9a\u7406\u2014\u2014\u90a3\u662f\u4e00\u4e2a\u4ee4\u5728\u573a\u6570\u5b66\u5bb6\u4eec\u9707\u60ca\u5f97\u9e26\u96c0\u65e0\u58f0\u7684\u65f6\u523b\u3002\u6000\u5c14\u65af\u72ec\u81ea\u4e00\u4eba\u7528\u4e86\u4e03\u5e74\u65f6\u95f4\uff0c\u5728\u5b8c\u5168\u4fdd\u5bc6\u7684\u72b6\u6001\u4e0b\u5de5\u4f5c\uff0c\u5c06\u4e8c\u5341\u4e16\u7eaa\u6570\u8bba\u7814\u7a76\u7684\u8bf8\u591a\u5206\u652f\u2014\u2014\u6a21\u5f62\u5f0f\u3001\u692d\u5706\u66f2\u7ebf\u3001\u4f3d\u7f57\u74e6\u8868\u793a\u2014\u2014\u878d\u4f1a\u8d2f\u901a\uff0c\u6700\u7ec8\u5b8c\u6210\u4e86\u8fd9\u4e00\u8bc1\u660e\u3002<\/p>\n<p>\u8bc1\u660e\u7684\u6838\u5fc3\u601d\u60f3\u5728\u4e8e\uff0c\u65e5\u672c\u6570\u5b66\u5bb6\u8c37\u5c71\u4e30\u548c\u5fd7\u6751\u4e94\u90ce\u57281950\u5e74\u4ee3\u63d0\u51fa\u7684\u201c\u8c37\u5c71-\u5fd7\u6751\u731c\u60f3\u201d\u65ad\u8a00\uff1a\u6bcf\u4e00\u4e2a\u692d\u5706\u66f2\u7ebf\u90fd\u5bf9\u5e94\u4e00\u4e2a\u6a21\u5f62\u5f0f\u3002\u683c\u7f57\u5fb7\u00b7\u5f17\u96f7\uff08Gerd Frey\uff09\u8fdb\u4e00\u6b65\u6307\u51fa\uff0c\u5982\u679c\u5b58\u5728\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u53cd\u4f8b\uff08\u5373\u4e00\u4e2a\u975e\u96f6\u89e3\uff09\uff0c\u5c31\u80fd\u6784\u9020\u51fa\u4e00\u4e2a\u6781\u4e3a\u7279\u6b8a\u7684\u692d\u5706\u66f2\u7ebf\uff0c\u8fd9\u6761\u66f2\u7ebf\u5c06\u4e0e\u8c37\u5c71-\u5fd7\u6751\u731c\u60f3\u77db\u76fe\u3002\u80af\u00b7\u91cc\u8d1d\u7279\uff08Ken Ribet\uff09\u57281986\u5e74\u8bc1\u660e\u4e86\u8fd9\u4e00\u8054\u7cfb\u3002\u4e8e\u662f\uff0c\u8bc1\u660e\u8d39\u9a6c\u5927\u5b9a\u7406\u5c31\u7b49\u4ef7\u4e8e\u8bc1\u660e\u8c37\u5c71-\u5fd7\u6751\u731c\u60f3\u3002\u6000\u5c14\u65af\u5728\u7406\u67e5\u5fb7\u00b7\u6cf0\u52d2\uff08Richard Taylor\uff09\u7684\u534f\u52a9\u4e0b\uff0c\u7ecf\u8fc7\u4e24\u5e74\u591a\u7684\u8270\u96be\u4fee\u8865\uff0c\u7ec8\u4e8e\u57281994\u5e74\u7ed9\u51fa\u4e86\u5b8c\u6574\u7684\u8bc1\u660e\u3002<\/p>\n<p>\u8fd9\u4e00\u8bc1\u660e\u4e0d\u4ec5\u662f\u6570\u5b66\u7684\u80dc\u5229\uff0c\u66f4\u662f\u4eba\u7c7b\u667a\u529b\u7684\u80dc\u5229\u2014\u2014\u5b83\u5c55\u793a\u4e86\u5728\u6700\u62bd\u8c61\u7684\u6570\u5b66\u9886\u57df\u4e2d\uff0c\u90a3\u4e9b\u770b\u4f3c\u6beb\u65e0\u5b9e\u7528\u4ef7\u503c\u7684\u57fa\u7840\u7814\u7a76\uff0c\u6700\u7ec8\u5982\u4f55\u7f16\u7ec7\u6210\u4e00\u5f20\u7edf\u4e00\u7684\u771f\u7406\u4e4b\u7f51\u3002<\/p>\n<hr \/>\n<h2>\u4e09\u3001\u7cbe\u534e\u6458\u5f55<\/h2>\n<blockquote>\n<ol>\n<li>\n<p>\u201c\u6211\u6709\u4e00\u4e2a\u7edd\u5999\u7684\u60f3\u6cd5\uff0c\u4f46\u8fd9\u91cc\u7a7a\u767d\u592a\u5c0f\uff0c\u5199\u4e0d\u4e0b\u3002\u201d\u2014\u2014\u76ae\u57c3\u5c14\u00b7\u5fb7\u00b7\u8d39\u9a6c\uff08\u7ea61665\u5e74\uff09<\/p>\n<\/li>\n<li>\n<p>\u201c\u6570\u5b66\u662f\u79d1\u5b66\u7684\u5973\u738b\uff0c\u800c\u6570\u8bba\u662f\u6570\u5b66\u7684\u5973\u738b\u3002\u201d\u2014\u2014\u5361\u5c14\u00b7\u5f17\u91cc\u5fb7\u91cc\u5e0c\u00b7\u9ad8\u65af<\/p>\n<\/li>\n<li>\n<p>\u201c\u5728\u67d0\u79cd\u610f\u4e49\u4e0a\uff0c\u5bf9\u8c37\u5c71-\u5fd7\u6751\u731c\u60f3\u7684\u8bc1\u660e\uff0c\u6807\u5fd7\u7740\u4e00\u4e2a\u6570\u5b66\u9ec4\u91d1\u65f6\u4ee3\u7684\u7ec8\u7ed3\u2014\u2014\u5728\u90a3\u4e2a\u65f6\u4ee3\uff0c\u5404\u4e2a\u9886\u57df\u8fd8\u76f8\u5bf9\u72ec\u7acb\u5730\u53d1\u5c55\u7740\u3002\u201d\u2014\u2014\u5b89\u5fb7\u9c81\u00b7\u6000\u5c14\u65af<\/p>\n<\/li>\n<li>\n<p>\u201c\u6211\u4e0d\u8ba4\u4e3a\u6211\u5e94\u8be5\u56e0\u4e3a\u5931\u8d25\u800c\u611f\u5230\u7f9e\u803b\u3002\u6211\u8ba4\u4e3a\u5931\u8d25\u662f\u751f\u6d3b\u7684\u4e00\u90e8\u5206\u2014\u2014\u5c24\u5176\u662f\u5728\u6570\u5b66\u7814\u7a76\u4e2d\u3002\u201d\u2014\u2014\u5b89\u5fb7\u9c81\u00b7\u6000\u5c14\u65af<\/p>\n<\/li>\n<li>\n<p>\u201c\u6b27\u62c9\u7684\u65b9\u6cd5\u662f\uff1a\u5148\u8ba1\u7b97\uff0c\u518d\u601d\u8003\uff1b\u5148\u731c\u6d4b\uff0c\u518d\u8bc1\u660e\u3002\u201d\u2014\u2014\u4f5c\u8005\u8bc4\u4ef7\u6b27\u62c9<\/p>\n<\/li>\n<li>\n<p>\u201c\u5e93\u9ed8\u5c14\u5bf9\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u653b\u51fb\uff0c\u5176\u6df1\u8fdc\u610f\u4e49\u8fdc\u8d85\u8bc1\u660e\u672c\u8eab\u2014\u2014\u5b83\u5f00\u521b\u4e86\u4ee3\u6570\u6570\u8bba\u8fd9\u4e00\u5168\u65b0\u9886\u57df\u3002\u201d<\/p>\n<\/li>\n<li>\n<p>\u201c\u6000\u5c14\u65af\u50cf\u4e00\u4f4d\u5efa\u7b51\u5e08\uff0c\u72ec\u81ea\u5efa\u9020\u4e00\u5ea7\u5b8f\u5927\u7684\u54e5\u7279\u5f0f\u6559\u5802\u2014\u2014\u4ed6\u5fc5\u987b\u72ec\u81ea\u8bbe\u8ba1\u6bcf\u4e00\u4e2a\u62f1\u9876\u3001\u6bcf\u4e00\u6839\u7acb\u67f1\u3002\u201d<\/p>\n<\/li>\n<li>\n<p>\u201c\u6570\u5b66\u5bb6\u4eec\u5c31\u50cf\u63a2\u9669\u5bb6\u2014\u2014\u4ed6\u4eec\u6500\u767b\u7684\u5c71\u5cf0\u5e76\u4e0d\u5b58\u5728\uff0c\u76f4\u5230\u4ed6\u4eec\u722c\u4e0a\u53bb\u624d\u77e5\u9053\u3002\u201d<\/p>\n<\/li>\n<li>\n<p>\u201c\u8c37\u5c71\u4e30\u7684\u60b2\u5267\u63d0\u9192\u6211\u4eec\uff1a\u6700\u6df1\u523b\u7684\u6d1e\u5bdf\u5f80\u5f80\u6765\u81ea\u6700\u5b64\u72ec\u7684\u7075\u9b42\u3002\u201d<\/p>\n<\/li>\n<li>\n<p>\u201c\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u5411\u6211\u4eec\u8bc1\u660e\uff1a\u5728\u6570\u5b66\u4e2d\uff0c\u6ca1\u6709\u4ec0\u4e48\u771f\u7406\u662f\u6c38\u6052\u7684\u2014\u2014\u9664\u975e\u5b83\u88ab\u8bc1\u660e\u3002\u201d<\/p>\n<\/li>\n<\/ol>\n<\/blockquote>\n<hr 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\/>\n<h2>\u4e94\u3001\u4e2a\u4eba\u611f\u609f<\/h2>\n<p>\u8bfb\u5b8c\u6b64\u4e66\uff0c\u4e00\u4e2a\u6df1\u523b\u7684\u611f\u53d7\u662f\uff1a\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u53f2\uff0c\u67d0\u79cd\u610f\u4e49\u4e0a\u662f\u4eba\u7c7b\u8ffd\u6c42\u786e\u5b9a\u6027\u6781\u9650\u7684\u9690\u55bb\u3002<\/p>\n<p>\u5728\u6211\u4eec\u8fd9\u4e2a\u65f6\u4ee3\uff0c\u4e00\u5207\u90fd\u8ffd\u6c42\u5373\u65f6\u53cd\u9988\u3001\u77ed\u671f\u6548\u76ca\u3001\u91cf\u5316\u6307\u6807\u3002\u6211\u4eec\u5f88\u96be\u60f3\u8c61\u4e00\u4e2a\u4eba\u80fd\u591f\u7528\u4e03\u5e74\u65f6\u95f4\u505a\u4e00\u4ef6\u4e0d\u88ab\u4efb\u4f55\u4eba\u77e5\u9053\u3001\u4e0d\u4ea7\u751f\u4efb\u4f55\u4e2d\u95f4\u6210\u679c\u3001\u53ef\u80fd\u6700\u7ec8\u4e00\u65e0\u6240\u83b7\u7684\u4e8b\u60c5\u3002\u6000\u5c14\u65af\u7684\u6210\u529f\uff0c\u90e8\u5206\u539f\u56e0\u5728\u4e8e\u4ed6\u5b8c\u5168\u4e0d\u88ab\u5916\u90e8\u4e16\u754c\u5e72\u6270\u2014\u2014\u4f46\u8fd9\u5728\u5f53\u4ee3\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684\uff1a\u4e00\u4e2a\u73b0\u4ee3\u5b66\u8005\u5982\u679c\u4e03\u5e74\u4e0d\u53d1\u8868\u4efb\u4f55\u8bba\u6587\uff0c\u7b49\u5f85\u4ed6\u7684\u4e0d\u662f\u8bfa\u8d1d\u5c14\u5956\uff0c\u800c\u662f\u89e3\u8058\u901a\u77e5\u3002<\/p>\n<p>\u8fd9\u8ba9\u6211\u53cd\u601d\uff1a\u5f53\u5b66\u672f\u4f53\u5236\u8d8a\u6765\u8d8a\u5f3a\u8c03\u201c\u4ea7\u51fa\u201d\u548c\u201c\u5408\u4f5c\u201d\u65f6\uff0c\u662f\u5426\u4e5f\u6b63\u5728\u7cfb\u7edf\u6027\u5730\u627c\u6740\u90a3\u4e9b\u9700\u8981\u5b64\u72ec\u4e0e\u6267\u5ff5\u7684\u7814\u7a76\uff1f\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\uff0c\u53ef\u80fd\u6b63\u662f\u8fd9\u79cd\u201c\u5b64\u72ec\u5929\u624d\u201d\u6a21\u5f0f\u7684\u7edd\u5531\u3002<\/p>\n<p>\u53e6\u4e00\u4e2a\u611f\u609f\u662f\u5173\u4e8e\u201c\u5931\u8d25\u201d\u7684\u610f\u4e49\u3002\u4e66\u4e2d\u591a\u6b21\u63d0\u5230\u5e93\u9ed8\u5c14\u7684\u5931\u8d25\u2014\u2014\u4ed6\u672a\u80fd\u8bc1\u660e\u8d39\u9a6c\u5927\u5b9a\u7406\uff0c\u4f46\u4ed6\u521b\u7acb\u7684\u7406\u60f3\u6570\u7406\u8bba\u6210\u4e3a\u73b0\u4ee3\u62bd\u8c61\u4ee3\u6570\u7684\u6838\u5fc3\u3002\u4ed6\u7684\u5931\u8d25\u201c\u6bd4\u4efb\u4f55\u6210\u529f\u90fd\u66f4\u6709\u4ef7\u503c\u201d\u3002\u8fd9\u8ba9\u6211\u60f3\u8d77\u5112\u5b66\u4e2d\u201c\u56f0\u77e5\u52c9\u884c\u201d\u7684\u667a\u6167\u2014\u2014\u771f\u6b63\u7684\u5b66\u95ee\u5f80\u5f80\u5728\u9006\u5883\u4e2d\u751f\u957f\uff0c\u800c\u975e\u5728\u987a\u5883\u4e2d\u79ef\u7d2f\u3002<\/p>\n<p>\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u8fd8\u8ba9\u6211\u601d\u8003\uff1a\u4e3a\u4ec0\u4e48\u6570\u5b66\u771f\u7406\u80fd\u8de8\u8d8a\u65f6\u7a7a\u3001\u8de8\u8d8a\u6587\u5316\uff0c\u59cb\u7ec8\u5177\u6709\u5982\u6b64\u5f3a\u5927\u7684\u5438\u5f15\u529b\uff1f\u56e0\u4e3a\u5b83\u4ee3\u8868\u7740\u4eba\u7c7b\u7406\u6027\u6700\u7eaf\u7cb9\u7684\u5f62\u5f0f\u2014\u2014\u4e0d\u4f9d\u8d56\u6743\u529b\uff0c\u4e0d\u4f9d\u8d56\u91d1\u94b1\uff0c\u4e0d\u4f9d\u8d56\u4efb\u4f55\u5916\u90e8\u6761\u4ef6\uff0c\u7eaf\u7cb9\u4f9d\u9760\u601d\u7ef4\u5c31\u80fd\u62b5\u8fbe\u7684\u771f\u7406\u3002\u5728\u8fd9\u4e2a\u5145\u6ee1\u4e0d\u786e\u5b9a\u6027\u7684\u4e16\u754c\u4e2d\uff0c\u6570\u5b66\u662f\u5c11\u6570\u6211\u4eec\u53ef\u4ee5\u5b8c\u5168\u786e\u4fe1\u7684\u9886\u57df\u3002<\/p>\n<hr 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\/>\n<h2>\u4e03\u3001\u540e\u7eed\u8ba1\u5212<\/h2>\n<p>\u57fa\u4e8e\u9605\u8bfb\u6b64\u4e66\u7684\u6536\u83b7\uff0c\u6211\u5236\u5b9a\u4ee5\u4e0b\u5177\u4f53\u884c\u52a8\u8ba1\u5212\uff1a<\/p>\n<ol>\n<li>\n<p><strong>\u6df1\u5165\u5b66\u4e60\u6570\u8bba\u57fa\u7840<\/strong>\uff1a\u8d39\u9a6c\u5927\u5b9a\u7406\u7684\u8bc1\u660e\u6d89\u53ca\u5927\u91cf\u73b0\u4ee3\u6570\u8bba\u77e5\u8bc6\u3002\u6211\u8ba1\u5212\u5728\u63a5\u4e0b\u6765\u4e09\u4e2a\u6708\u5185\uff0c\u7cfb\u7edf\u5b66\u4e60\u692d\u5706\u66f2\u7ebf\u57fa\u7840\u7406\u8bba\uff0c\u9605\u8bfbSilverman\u7684\u300aThe Arithmetic of Elliptic 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