{"id":268,"date":"2022-02-19T15:39:02","date_gmt":"2022-02-19T07:39:02","guid":{"rendered":"https:\/\/sciencespirits.com\/?p=268"},"modified":"2022-05-18T13:02:08","modified_gmt":"2022-05-18T05:02:08","slug":"fermats-last-theorem","status":"publish","type":"post","link":"https:\/\/sciencespirits.com\/fermats-last-theorem\/","title":{"rendered":"\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406 \uff0d\u4f60\u53ef\u66fe\u5728\u5730\u7344\u88e1\u4ef0\u671b\u5929\u5802\uff1f"},"content":{"rendered":"\n<p>\u8cbb\u99ac\u5927\u5b9a\u7406\uff0c\u4e5f\u88ab\u7a31\u70ba\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406\uff08Fermat\u2019s Last Theorem\uff09 \uff0c\u4e00\u6bb5\u53ef\u6b4c\u53ef\u6ce3\u7684\u771f\u5be6\u6545\u4e8b\u3002<\/p>\n\n\n\n<p>\u5728\u6210\u9577\u7684\u904e\u7a0b\u4e2d\uff0c\u4f60\u61c9\u8a72\u66fe\u9047\u904e\u7121\u6578\u7684\u56f0\u96e3\u3002\u6709\u6642\u5019\uff0c\u6703\u9078\u64c7\u9762\u5c0d\u4e26\u8de8\u8d8a\uff1b\u6709\u6642\u5019\uff0c\u5247\u6703\u611f\u89ba\u7121\u529b\u4e26\u4e14\u653e\u68c4\u3002<\/p>\n\n\n\n<p>\u4eca\u5929\u6211\u5011\u4fbf\u85c9<strong>\u8cbb\u99ac\u5927\u5b9a\u7406<\/strong>\uff0c\u804a\u804a\u4f60\u6211\u751f\u547d\u4e2d\u7684\u90a3\u4e9b\u56f0\u96e3\u8207\u6311\u6230\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_64 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\">\u5167\u5bb9\u76ee\u9304<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-660a992c79180\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #d67413;color:#d67413\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #d67413;color:#d67413\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-660a992c79180\" checked aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e6%9c%80%e9%9b%a3%e7%9a%84%e5%95%8f%e9%a1%8c%ef%bc%8c%e5%be%80%e5%be%80%e5%be%88%e7%b0%a1%e5%96%ae\" title=\"\u6700\u96e3\u7684\u554f\u984c\uff0c\u5f80\u5f80\u5f88\u7c21\u55ae\">\u6700\u96e3\u7684\u554f\u984c\uff0c\u5f80\u5f80\u5f88\u7c21\u55ae<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e5%a4%a2%e6%83%b3%ef%bc%8c%e7%82%ba%e4%bd%95%e8%a2%ab%e4%bd%a0%e6%94%be%e6%a3%84%ef%bc%9f%e4%bd%95%e6%99%82%e5%8f%88%e8%a2%ab%e6%8b%be%e8%b5%b7%ef%bc%9f\" title=\"\u5922\u60f3\uff0c\u70ba\u4f55\u88ab\u4f60\u653e\u68c4\uff1f\u4f55\u6642\u53c8\u88ab\u62fe\u8d77\uff1f\">\u5922\u60f3\uff0c\u70ba\u4f55\u88ab\u4f60\u653e\u68c4\uff1f\u4f55\u6642\u53c8\u88ab\u62fe\u8d77\uff1f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e7%82%ba%e4%ba%86%e5%a4%a2%e6%83%b3%ef%bc%8c%e4%bd%a0%e9%a1%98%e6%84%8f%e4%bb%98%e5%87%ba%e5%a4%9a%e5%a4%a7%e7%9a%84%e4%bb%a3%e5%83%b9%ef%bc%9f\" title=\"\u70ba\u4e86\u5922\u60f3\uff0c\u4f60\u9858\u610f\u4ed8\u51fa\u591a\u5927\u7684\u4ee3\u50f9\uff1f\">\u70ba\u4e86\u5922\u60f3\uff0c\u4f60\u9858\u610f\u4ed8\u51fa\u591a\u5927\u7684\u4ee3\u50f9\uff1f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e5%85%89%e6%98%af%e9%81%b8%e5%b0%8d%e6%96%b9%e5%90%91%ef%bc%8c%e5%b0%b1%e6%98%af%e4%b8%80%e7%a8%ae%e5%89%8d%e9%80%b2\" title=\"\u5149\u662f\u9078\u5c0d\u65b9\u5411\uff0c\u5c31\u662f\u4e00\u7a2e\u524d\u9032\">\u5149\u662f\u9078\u5c0d\u65b9\u5411\uff0c\u5c31\u662f\u4e00\u7a2e\u524d\u9032<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e5%90%88%e4%bd%9c%ef%bc%8c%e5%8c%85%e5%90%ab%e8%91%97%e9%81%8e%e5%8e%bb%e8%88%87%e7%95%b6%e4%b8%8b\" title=\"\u5408\u4f5c\uff0c\u5305\u542b\u8457\u904e\u53bb\u8207\u7576\u4e0b\">\u5408\u4f5c\uff0c\u5305\u542b\u8457\u904e\u53bb\u8207\u7576\u4e0b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e6%9c%80%e5%a4%a7%e7%9a%84%e7%97%9b%e8%8b%a6%e4%b8%8d%e6%98%af%e5%a4%b1%e6%95%97%ef%bc%8c%e8%80%8c%e6%98%af%e2%80%a6%e2%80%a6\" title=\"\u6700\u5927\u7684\u75db\u82e6\u4e0d\u662f\u5931\u6557\uff0c\u800c\u662f&#8230;&#8230;\">\u6700\u5927\u7684\u75db\u82e6\u4e0d\u662f\u5931\u6557\uff0c\u800c\u662f&#8230;&#8230;<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/sciencespirits.com\/fermats-last-theorem\/#%e4%bd%a0%e6%9c%83%e5%be%8c%e6%82%94%ef%bc%8c%e8%bf%bd%e5%b0%8b%e5%a4%a2%e6%83%b3%e5%97%8e%ef%bc%9f\" title=\"\u4f60\u6703\u5f8c\u6094\uff0c\u8ffd\u5c0b\u5922\u60f3\u55ce\uff1f\">\u4f60\u6703\u5f8c\u6094\uff0c\u8ffd\u5c0b\u5922\u60f3\u55ce\uff1f<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"\u6700\u96e3\u7684\u554f\u984c-\u5f80\u5f80\u5f88\u7c21\u55ae\"><span class=\"ez-toc-section\" id=\"%e6%9c%80%e9%9b%a3%e7%9a%84%e5%95%8f%e9%a1%8c%ef%bc%8c%e5%be%80%e5%be%80%e5%be%88%e7%b0%a1%e5%96%ae\"><\/span>\u6700\u96e3\u7684\u554f\u984c\uff0c\u5f80\u5f80\u5f88\u7c21\u55ae<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0a0ce0\" class=\"has-inline-color\"><\/mark>\u6211\u5011\u66fe\u4ecb\u7d39\u4e86\u8cbb\u99ac\u5176\u4eba\uff0c\u4ee5\u53ca\u4ed6\u7559\u7d66\u5f8c\u4e16\u7684\u6700\u7d42\u96e3\u984c\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u5ef6\u4f38\u95b1\u8b80\uff1a<a href=\"https:\/\/sciencespirits.com\/about-fermat\/\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0316b0\" class=\"has-inline-color\">\u8cbb\u99ac\uff0c\u627e\u5c4e\u7684\u6578\u5b78\u5bb6<\/mark><\/a><\/p><\/blockquote>\n\n\n\n<p>\u4e09\u767e\u591a\u5e74\u904e\u53bb\uff0c\u82f1\u570b\u4e00\u4f4d\u540d\u53eb\u5b89\u5fb7\u9b6f\u30fb\u7d04\u7ff0\u30fb\u61f7\u723e\u65af\uff08Andrew John Wiles\uff0c1953.04.11-\uff09\u768410\u6b72\u5c0f\u7537\u5b69\uff0c\u5728\u5716\u66f8\u9928\u4e2d\u770b\u5230\u9019\u500b\u554f\u984c\uff1a<\/p>\n\n\n\n<p><strong>\u7576&nbsp;<em>n <\/em>\u2265 3 \u4e14\u70ba\u6b63\u6574\u6578\u6642\uff0cX<sup>n<\/sup>+Y<sup>n<\/sup>=Z<sup>n<\/sup> \u6c92\u6709\u6b63\u6574\u6578\u89e3<\/strong>\u3002<\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u7684\u5fc3\u60c5\u53c8\u597d\u5947\u53c8\u8a1d\u7570\uff0c\u9019\u500b\u9023\u5c0f\u5b78\u751f\u90fd\u80fd\u770b\u61c2\u7684\u554f\u984c\uff0c\u70ba\u4ec0\u9ebc\u6578\u767e\u5e74\u4f86\u90a3\u9ebc\u591a\u4eba\u90fd\u7121\u6cd5\u89e3\u958b\u5462\uff1f<\/p>\n\n\n\n<p>\u4e00\u500b\u5922\u60f3\u6084\u6084\u5730\u8a95\u751f\uff0c\u4ed6\u60f3\u8981\u4f86\u89e3\u958b\u9019\u500b\u554f\u984c\uff01<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u96d6\u7136\u5f88\u5feb\u5730\u5c31\u88ab\u653e\u68c4\uff0c\u56e0\u70ba\u61f7\u723e\u65af\u767c\u89ba\u81ea\u5df1\u6b20\u7f3a\u592a\u591a\u89e3\u7b54\u554f\u984c\u7684\u9470\u5319\u3002<\/p>\n\n\n\n<p>\u76f4\u523033\u6b72\u6642\uff0c\u61f7\u723e\u65af\u624d\u518d\u6b21\u9ede\u71c3\u5152\u6642\u5922\u60f3\u7684\u706b\u70ac\u3002<\/p>\n\n\n\n<p>\u9019\u500b\u6c7a\u5b9a\uff0c\u5275\u9020\u4e86\u6b77\u53f2\u3002<\/p>\n\n\n\n<p><strong>\u4f60\u6709\u904e\u5152\u6642\u7684\u5922\u60f3\u55ce\uff1f<\/strong><\/p>\n\n\n\n<p><strong>\u4f60\u4e5f\u66fe\u56e0\u70ba\u81ea\u8a8d\u7121\u6cd5\u6210\u5c31\u800c\u653e\u68c4\u5922\u60f3\u55ce\uff1f<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5922\u60f3-\u70ba\u4f55\u88ab\u4f60\u653e\u68c4-\u4f55\u6642\u53c8\u88ab\u62fe\u8d77\"><span class=\"ez-toc-section\" id=\"%e5%a4%a2%e6%83%b3%ef%bc%8c%e7%82%ba%e4%bd%95%e8%a2%ab%e4%bd%a0%e6%94%be%e6%a3%84%ef%bc%9f%e4%bd%95%e6%99%82%e5%8f%88%e8%a2%ab%e6%8b%be%e8%b5%b7%ef%bc%9f\"><\/span>\u5922\u60f3\uff0c\u70ba\u4f55\u88ab\u4f60\u653e\u68c4\uff1f\u4f55\u6642\u53c8\u88ab\u62fe\u8d77\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5728\u5c31\u8b80\u528d\u6a4b\u5927\u5b78\uff08University of Cambridge\uff09\u5c31\u8b80\u7814\u7a76\u6240\u4e4b\u524d\uff0c\u61f7\u723e\u65af\u66fe\u591a\u6b21\u6311\u6230\u8cbb\u99ac\u5927\u5b9a\u7406\uff0c\u4f46\u5728\u81ea\u5df1\u5c62\u6b21\u5931\u6557\u3001\u6307\u5c0e\u6559\u6388\u7684\u52f8\u963b\u3001\u7121\u6578\u524d\u4eba\u82b1\u8cbb\u5927\u91cf\u7cbe\u529b\u5fc3\u8840\u4f9d\u7136\u5f92\u52de\u7121\u529f\u5f8c\uff0c\u61f7\u723e\u65af\u9078\u64c7\u9762\u5c0d<strong>\u73fe\u5be6<\/strong>\uff0c\u85cf\u8d77\u4ed6\u7684\u5922\u60f3\u3002<\/p>\n\n\n\n<p>\u8f49\u800c\u4ee5<strong>\u5ca9\u6fa4\u7406\u8ad6<\/strong>\uff08Iwasawa theory\uff09\u7528\u4ee5\u5206\u6790\u4e3b\u6d41\u71b1\u9580\u7684\u8b70\u984c\uff1a<strong>\u6a62\u5713\u66f2\u7dda<\/strong>\uff08Elliptic Curve\uff09\uff0c\u9019\u65e2\u4e0d\u662f\u6a62\u5713\u3001\u4e5f\u4e0d\u662f\u66f2\u7dda\uff0c\u800c\u662f\u985e\u4f3c\u751c\u751c\u5708\u7684\u5713\u74b0\u72c0\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p>\u9019\u8207\u6578\u8ad6\u9818\u57df\u7684\u8cbb\u99ac\u5927\u5b9a\u7406\u770b\u4f3c\u5927\u76f8\u9015\u5ead\uff0c\u4f3c\u4e4e\u8a34\u8aaa\u8457\u61f7\u723e\u65af\u5152\u6642\u7684\u5922\u60f3\uff0c\u7d42\u5c07\u6df9\u6c92\u5728\u73fe\u5be6\u7684\u6399\u624e\u4e4b\u4e2d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u4f46\u547d\u904b\u4e4b\u9418\u57281957\u5e74\u8f15\u8f15\u64fa\u76ea\uff0c\u4e16\u754c\u5f7c\u7aef\u7684\u65e5\u51fa\u4e4b\u570b\uff0c\u8c37\u5c71\u8c50\u548c\u5fd7\u6751\u4e94\u90ce\u5169\u4f4d\u5e74\u8f15\u7684\u6578\u5b78\u5bb6\u63d0\u51fa\u4e86<strong>\u8c37\u5c71\uff0d\u5fd7\u6751\u731c\u60f3<\/strong>\uff08\u5982\u4eca\u5df2\u88ab\u8b49\u5be6\u70ba\u8c37\u5c71\uff0d\u5fd7\u6751\u5b9a\u7406\uff0cTaniyama-Shimura theorem\uff09\uff0c\u5f77\u5f7f\u4e16\u754c\u4e5f\u4e0d\u5fcd\u61f7\u723e\u65af\u7684\u5922\u5c31\u6b64\u9eef\u6de1\u3002<\/p>\n\n\n\n<p>\u8c37\u5c71\uff0d\u5fd7\u6751\u731c\u60f3\uff0c\u8a8d\u70ba\u6a62\u5713\u66f2\u7dda\u548c<strong>\u6a21\u5f62\u5f0f<\/strong>\uff08modular form\uff0c\u64c1\u6709\u6975\u5176\u8907\u96dc\u5c0d\u7a31\u6027\u7684\u8907\u6578\u5e73\u9762\u51fd\u6578\uff09\u6709\u8457\u5c0d\u61c9\u95dc\u4fc2\u3002<\/p>\n\n\n\n<p>\u6b63\u5982\u591a\u6578\u4eba\u5728\u570b\u9ad8\u4e2d\u6642\u63a5\u89f8\u4e86<strong>\u5e73\u9762\u5ea7\u6a19\u7cfb<\/strong>\uff0c\u80fd\u5920\u5c07\u4ee3\u6578\uff08\u6578\u5b57\uff09\u8207\u5e7e\u4f55\uff08\u5716\u5f62\uff09\u505a\u51fa\u5c0d\u61c9\u8f49\u63db\u7684\u95dc\u4fc2\u4e00\u6a23\uff0c\u9019\u500b\u731c\u60f3\u70ba\u6a62\u5713\u66f2\u7dda\u548c\u6a21\u5f62\u5f0f\u67b6\u8d77\u4e86\u4e00\u5ea7\u6a4b\u6a11\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"847\" height=\"373\" src=\"https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u87a2\u5e55\u5feb\u7167-2022-02-18-\u4e0b\u53487.07.38.png\" alt=\"\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406 \u5e73\u9762\u5ea7\u6a19\u7cfb\" class=\"wp-image-286\" title=\"\" srcset=\"https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u87a2\u5e55\u5feb\u7167-2022-02-18-\u4e0b\u53487.07.38.png 847w, https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u87a2\u5e55\u5feb\u7167-2022-02-18-\u4e0b\u53487.07.38-300x132.png 300w, https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u87a2\u5e55\u5feb\u7167-2022-02-18-\u4e0b\u53487.07.38-768x338.png 768w, https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u87a2\u5e55\u5feb\u7167-2022-02-18-\u4e0b\u53487.07.38-676x298.png 676w\" sizes=\"(max-width: 847px) 100vw, 847px\" \/><figcaption>\u5e73\u9762\u5ea7\u6a19\u7cfb\uff0c\u662f\u4ee3\u6578\u8207\u5e7e\u4f55\u4e4b\u6a4b<\/figcaption><\/figure>\n\n\n\n<p>1986\u5e74\uff0c\u6578\u5b78\u5bb6\u683c\u723e\u54c8\u5fb7\u30fb\u5f17\u840a\uff08Gerhard Frey\uff09\u5fb9\u5e95\u66ff\u61f7\u723e\u65af\u6572\u97ff\u4e86\u547d\u904b\u4e4b\u9418\uff01\u4ed6\u540c\u6a23\u7684\u66ff\u8cbb\u99ac\u5927\u5b9a\u7406\u548c\u8c37\u5c71\uff0d\u5fd7\u6751\u9593\u67b6\u8d77\u4e00\u5ea7\u6a4b\u3002<\/p>\n\n\n\n<p>\u5728\u9019\u5169\u5ea7\u6a4b\u7684\u5e6b\u52a9\u4e0b\uff0c\u53ea\u8981\u61f7\u723e\u65af\u80fd\u5920\u8b49\u660e\u8c37\u5c71\uff0d\u5fd7\u6751\u731c\u60f3\uff0c\u5c31\u80fd\u8b49\u660e\u8cbb\u99ac\u5927\u5b9a\u7406\uff01\u800c\u64c1\u6709\u6a62\u5713\u66f2\u7dda\u9818\u57df\u7814\u7a76\u7d93\u9a57\u7684\u61f7\u723e\u65af\uff0c\u5df2\u8207\u904e\u53bb\u4e0d\u540c\uff01<\/p>\n\n\n\n<p>33\u6b72\u7684\u61f7\u723e\u65af\uff0c\u5728\u6b64\u523b\u6c7a\u5b9a\u91cd\u62fe\u5152\u6642\u7684\u5922\u60f3\uff01<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u70ba\u4e86\u5922\u60f3-\u4f60\u9858\u610f\u4ed8\u51fa\u591a\u5927\u7684\u4ee3\u50f9\"><span class=\"ez-toc-section\" id=\"%e7%82%ba%e4%ba%86%e5%a4%a2%e6%83%b3%ef%bc%8c%e4%bd%a0%e9%a1%98%e6%84%8f%e4%bb%98%e5%87%ba%e5%a4%9a%e5%a4%a7%e7%9a%84%e4%bb%a3%e5%83%b9%ef%bc%9f\"><\/span>\u70ba\u4e86\u5922\u60f3\uff0c\u4f60\u9858\u610f\u4ed8\u51fa\u591a\u5927\u7684\u4ee3\u50f9\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5982\u679c\u8b93\u4f60\u770b\u5230\u5be6\u73fe\u5922\u60f3\u7684\u66d9\u5149\uff0c\u4f60\u9858\u610f\u5805\u6301\u591a\u4e45\u6642\u9593\u5462\uff1f<\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u653e\u4e0b\u6240\u6709\u7684\u7814\u7a76\u5de5\u4f5c\u3001\u5916\u5728\u4ea4\u6d41\uff0c\u50c5\u6709\u67e5\u95b1\u6587\u737b\u6642\u624d\u8207\u5916\u754c\u63a5\u89f8\u3002\u9664\u4e86\u59bb\u5b50\uff0c\u6c92\u6709\u4eba\u77e5\u9053\u4ed6\u6b63\u8a66\u5716\u8b49\u660e\u8cbb\u99ac\u5927\u5b9a\u7406\u3002<\/p>\n\n\n\n<p>\u4e00\u5247\u907f\u514d\u5916\u754c\u5e72\u64fe\uff0c\u4e8c\u5247\u70ba\u4e86\u907f\u958b\u8fd1\u4e4e\u6574\u500b\u6578\u5b78\u754c\u4e0d\u81ea\u91cf\u529b\u7684\u76ee\u5149\u3002<\/p>\n\n\n\n<p>\u4ed6\u79d8\u5bc6\u5730\u3001\u5b64\u7368\u5730\u3001\u5c08\u6ce8\u5730\u5728\u5bb6\u4e2d\u5c0b\u627e\u901a\u5411\u771f\u7406\u7684\u89e3\u7b54\u3002<\/p>\n\n\n\n<p>\u9019\u8d9f\u5b64\u7368\u7684\u65c5\u7a0b\uff0c\u8db3\u8db3\u8d70\u4e86\u4e03\u5e74\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"294\" height=\"169\" src=\"https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/02\/\u65b9\u5411.jpg\" alt=\"\u95dc\u65bc \u65b9\u5411\" class=\"wp-image-255\" title=\"\"><\/figure><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u4e8c\u5341\u4e16\u7d00\u521d\uff0c\u66fe\u6709\u4eba\u5411\u7576\u6642\u6578\u5b78\u754c\u7684\u6b66\u6797\u76df\u4e3b\uff0c\u5927\u885b\u30fb\u5e0c\u723e\u4f2f\u7279\uff08David Hilbert\uff09\u554f\u9053\uff1a\u300c\u70ba\u4f55\u60a8\u4e0d\u8b49\u660e\u8cbb\u99ac\u5927\u5b9a\u7406\uff1f\u300d<\/p>\n\n\n\n<p>\u5e0c\u723e\u4f2f\u7279\u7b54\u9053\uff1a\u300c\u958b\u59cb\u7814\u7a76\u524d\uff0c\u6211\u5f97\u5148\u7528\u4e09\u5e74\u6df1\u5165\u5730\u7814\u7a76\uff0c\u4f46\u6211\u6c92\u90a3\u9ebd\u591a\uff08\u5fb7\u570b\uff09\u6642\u9593\u6d6a\u8cbb\u5728\u4e00\u4ef6\u53ef\u80fd\u6703\u5931\u6557\u7684\u4e8b\u60c5\u4e0a\u3002\u300d<\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u82b1\u4e86\u4e03\u5e74\uff0c\u5728\u9019\u4ef6\u53ef\u80fd\u6703\u5931\u6557\u7684\u4e8b\u60c5\u4e0a\u3002<\/p>\n\n\n\n<p>\u56e0\u70ba\u9019\u662f\u4ed6\u5152\u6642\u7684\u5922\u60f3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5149\u662f\u9078\u5c0d\u65b9\u5411-\u5c31\u662f\u4e00\u7a2e\u524d\u9032\"><span class=\"ez-toc-section\" id=\"%e5%85%89%e6%98%af%e9%81%b8%e5%b0%8d%e6%96%b9%e5%90%91%ef%bc%8c%e5%b0%b1%e6%98%af%e4%b8%80%e7%a8%ae%e5%89%8d%e9%80%b2\"><\/span>\u5149\u662f\u9078\u5c0d\u65b9\u5411\uff0c\u5c31\u662f\u4e00\u7a2e\u524d\u9032<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5728\u982d\u4e09\u5e74\uff0c\u61f7\u723e\u65af\u601d\u7d22\u8981\u4f7f\u7528\u90a3\u9805\u5de5\u5177\uff0c\u53bb\u8b49\u660e\u8c37\u5c71\uff0d\u5fd7\u6751\u731c\u60f3\u3002\u4ed6\u6c7a\u5b9a\u5f9e\u8a08\u7b97\u6a62\u5713\u66f2\u7dda\u548c\u6a21\u5f62\u5f0f\u7684\u6578\u91cf\u4e0b\u624b\uff0c\u5c0b\u627e\u4e00\u7a2e\u7279\u6b8a\u7684\u8a08\u6578\u5de5\u5177\uff0c\u5b83\u88ab\u7a31\u70ba<strong>\u985e\u6578\u516c\u5f0f<\/strong>\uff08Class number formula\uff09\u3002<\/p>\n\n\n\n<p>\u5149\u662f\u601d\u7d22\u8981\u4f7f\u7528\u985e\u6578\u516c\u5f0f\uff0c\u5c31\u82b1\u4e86\u4e09\u5e74\u3002<\/p>\n\n\n\n<p>\u5f8c\u4f86\uff0c\u61f7\u723e\u65af\u53c8\u82b1\u4e86\u5169\u5e74\u6642\u9593\uff0c\u5617\u8a66\u4ee5\u7814\u7a76\u751f\u6642\u671f\u7684\u5ca9\u6fa4\u7406\u8ad6\uff0c\u8a66\u5716\u5efa\u69cb\u985e\u6578\u516c\u5f0f\uff0c\u53cd\u53cd\u8986\u8986\u537b\u6536\u6548\u751a\u5fae\u3002<\/p>\n\n\n\n<p>1991\u5e74\u590f\u672b\uff0c\u61f7\u723e\u65af\u66fe\u7d93\u7684\u6307\u5c0e\u6559\u6388\u63d0\u4f9b\u4e86\u53e6\u4e00\u689d\u7dda\u7d22\uff1a<strong>Kolyvagin-Flach\u65b9\u6cd5<\/strong>\uff0c\u5354\u52a9\u61f7\u723e\u65af\u9081\u51fa\u5efa\u69cb\u985e\u6578\u516c\u5f0f\u7684\u95dc\u9375\u4e00\u6b65\u3002<\/p>\n\n\n\n<p>\u65bc\u662f\u61f7\u723e\u65af\u6c7a\u5b9a\u5fb9\u5e95\u653e\u68c4\u5ca9\u6fa4\u7406\u8ad6\uff0c\u4ee5Kolyvagin-Flach\u65b9\u6cd5\u5411\u5922\u60f3\u7684\u7d42\u9ede\u5927\u6b65\u524d\u884c\uff01<\/p>\n\n\n\n<figure class=\"wp-block-pullquote\"><blockquote><p>\u6210\u9577\u8207\u9032\u6b65\uff0c\u53ef\u80fd\u53ea\u662f<strong>\u78ba\u4fe1\u4e0b\u4e00\u6b65\u7684\u65b9\u5411<\/strong>\u3002<\/p><cite>\u660e\u5fc3<\/cite><\/blockquote><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5408\u4f5c-\u5305\u542b\u8457\u904e\u53bb\u8207\u7576\u4e0b\"><span class=\"ez-toc-section\" id=\"%e5%90%88%e4%bd%9c%ef%bc%8c%e5%8c%85%e5%90%ab%e8%91%97%e9%81%8e%e5%8e%bb%e8%88%87%e7%95%b6%e4%b8%8b\"><\/span>\u5408\u4f5c\uff0c\u5305\u542b\u8457\u904e\u53bb\u8207\u7576\u4e0b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u63a5\u8fd1\u8b49\u660e\u7684\u5c3e\u8072\uff0c\u70ba\u4e86\u89e3\u6c7a\u4e00\u4e9b\u95dc\u9375\u6027\u7684\u554f\u984c\uff0c\u61f7\u723e\u65af\u8207\u666e\u6797\u65af\u9813\uff08Princeton University\uff09\u7684\u540c\u4e8b\u5c3c\u53e4\u62c9\u65af\u30fb\u5361\u8332\uff08Nicholas Katz\uff09\u79d8\u5bc6\u5730\u5408\u4f5c\u3002<\/p>\n\n\n\n<p>\u751a\u81f3\u70ba\u4e86\u63a9\u8b77\u5f7c\u6b64\u7684\u4ea4\u6d41\uff0c\u61f7\u723e\u65af\u958b\u8a2d\u4e86\u4e00\u9580\u8ab2\u7a0b\uff0c\u4ee5\u5229\u5f7c\u6b64\u4ea4\u6d41\u3002\u61f7\u723e\u65af\u5411\u5b78\u751f\u8aaa\u660e\u8ab2\u7a0b\u76ee\u7684\u662f\u70ba\u4e86\u62d3\u5c55Kolyvagin-Flach\u65b9\u6cd5\uff0c\u4ee5\u5efa\u69cb\u985e\u6578\u516c\u5f0f\uff0c\u537b\u6c92\u6709\u544a\u8a34\u5b78\u751f\u5efa\u69cb\u6210\u529f\u9019\u500b\u985e\u6578\u516c\u5f0f\uff0c\u5c07\u76f4\u6307\u8cbb\u99ac\u5927\u5b9a\u7406\u3002<\/p>\n\n\n\n<p>\u4f46\u7531\u65bc\u4e0d\u6e05\u695a\u6839\u672c\u7684\u76ee\u7684\uff0c\u4e0a\u8ab2\u7684\u7814\u7a76\u751f\u5011\u4e00\u982d\u9727\u6c34\uff08\u985e\u4f3c\u7684\u4e8b\u60c5\u725b\u9813\u4e5f\u505a\u904e\uff09\uff0c\u6578\u9031\u5f8c\u8ab2\u5802\u4e0a\u4fbf\u53ea\u5269\u4e0b\u61f7\u723e\u65af\u548c\u5361\u8332\uff0c\u4ea4\u6d41\u5c31\u9019\u9ebc\u7121\u8072\u800c\u9806\u5229\u7684\u9032\u5c55\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>1993\u5e745\u6708\uff0c\u8cbb\u723e\u65af\u5df2\u6210\u529f\u5730\u5c07\u5927\u591a\u6578\u6a62\u5713\u66f2\u7dda\u8f49\u5316\u70ba\u6a21\u5f62\u5f0f\uff0c\u4f46\u537b\u4ecd\u6709\u5c11\u6578\u7684\u6a62\u5713\u66f2\u7dda\u7121\u6cd5\u5b8c\u6210\u3002<\/p>\n\n\n\n<p>\u7d5e\u76e1\u8166\u6c41\u7684\u61f7\u723e\u65af\uff0c\u5076\u7136\u770b\u898b\u6578\u5b78\u5bb6\u5df4\u91cc\u30fb\u6885\u4f11\u723e\uff08Barry Mazur\uff09\u7684\u4e00\u7bc7\u8ad6\u6587\uff0c\u6709\u4e00\u53e5\u8a71\u63d0\u523019\u4e16\u7d00\u7684\u4e00\u7a2e\u6578\u5b78\u6280\u5de7\uff0c\u80fd\u5c07\u90a3\u4e9b\u7121\u6cd5\u8f49\u63db\u7684\u6a62\u5713\u66f2\u7dda\u5316\u70ba\u5df2\u8f49\u5316\u5b8c\u6210\u7684\u6a21\u5f62\u5f0f\u4e2d\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u611f\u53d7\u5230\uff0c\u81ea\u5df1\u5df2\u6e4a\u9f4a\u6700\u5f8c\u4e00\u7247\u62fc\u5716\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u6700\u5927\u7684\u75db\u82e6\u4e0d\u662f\u5931\u6557-\u800c\u662f\"><span class=\"ez-toc-section\" id=\"%e6%9c%80%e5%a4%a7%e7%9a%84%e7%97%9b%e8%8b%a6%e4%b8%8d%e6%98%af%e5%a4%b1%e6%95%97%ef%bc%8c%e8%80%8c%e6%98%af%e2%80%a6%e2%80%a6\"><\/span>\u6700\u5927\u7684\u75db\u82e6\u4e0d\u662f\u5931\u6557\uff0c\u800c\u662f&#8230;&#8230;<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u61f7\u723e\u65af\u5152\u6642\u95b1\u8b80\u7684\u300a\u6700\u5f8c\u554f\u984c\u300b\uff08The Last Problem\uff09\uff0c\u4f5c\u8005\u5c07\u8cbb\u99ac\u5927\u5b9a\u7406\u7576\u4f5c\u56de\u5bb6\u4f5c\u696d\uff0c\u7d66\u8b80\u8005\u53bb\u89e3\u7b54\uff0c\u9019\u6216\u8a31\u662f\u6578\u5b78\u53f2\u4e0a\u6700\u96e3\u7684\u56de\u5bb6\u4f5c\u696d\u4e4b\u4e00\u4e86\u3002<\/p>\n\n\n\n<p>\u800c\u57281993\u5e746\u670821-23\u65e5\uff0c\u61f7\u723e\u65af\u56de\u5230\u4e86\u5922\u60f3\u7684\u8d77\u9ede\uff0d\u528d\u6a4b\u5927\u5b78\uff0c\u5728\u70ba\u671f\u4e09\u65e5\u7684\u7814\u8a0e\u6703\u4e0a\u7e73\u4ea4\u4e86\u300c\u4f5c\u696d\u300d\u3002<\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u4ee5\u300c\u6a62\u5713\u66f2\u7dda\u548c\u6a21\u5f62\u5f0f\u300d\u70ba\u8b1b\u984c\uff0c\u4e26\u672a\u63d0\u5230\u8cbb\u99ac\u5927\u5b9a\u7406\uff0c\u4f46\u4eba\u5011\u537b\u5df2\u96b1\u7d04\u807d\u5230\u98a8\u8072\uff0c\u67d0\u500b\u91cd\u5927\u4e8b\u4ef6\u5373\u5c07\u767c\u751f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u5728\u6574\u500b\u6578\u5b78\u754c\u7dca\u5f35\u800c\u8085\u7a46\u7684\u671f\u5f85\u4e2d\uff0c\u61f7\u723e\u65af\u5e73\u6de1\u7684\u63cf\u8ff0\u8457\u4e03\u5e74\u7d93\u6b77\u4e2d\u7684\u6dec\u7149\u3002<\/p>\n\n\n\n<p>\u9ed1\u677f\u4e0a\u7684\u7b46\u8de1\uff0c\u5f77\u5f7f\u627f\u8f09\u8457\u6578\u767e\u5e74\u4f86\u7121\u6578\u6578\u5b78\u5bb6\u7684\u8a17\u4ed8\uff0c\u5728\u4e00\u4f4d\u5341\u6b72\u5c11\u5e74\u7684\u5922\u60f3\u4e4b\u7a2e\u4e0a\u751f\u6839\u3001\u767c\u82bd\u3001\u6210\u9577\u3001\u8301\u58ef&#8230;&#8230;<\/p>\n\n\n\n<p>\u7576\u61f7\u723e\u65af\u8b1b\u5b8c\u6a62\u5713\u66f2\u7dda\u8f49\u63db\u7684\u6280\u5de7\u5f8c\uff0c\u5728\u9ed1\u677f\u4e0a\u5beb\u4e0b\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406\u7684\u63cf\u8ff0\u3002<\/p>\n\n\n\n<p>\u4ed6\u5e73\u975c\u5730\u5411\u4e16\u754c\u8aaa\u9053\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>I think I&#8217;ll stop there. <\/strong>\uff08\u6211\u60f3\uff0c\u6211\u5011\u5c31\u5728\u9019\u88e1\u7d50\u675f\uff09<\/p><cite>Andrew John Wiles<\/cite><\/blockquote>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u6574\u500b\u4e16\u754c\u90fd\u5728\u51dd\u671b\u8457\u61f7\u723e\u65af\uff0c\u92ea\u5929\u84cb\u5730\u7684\u5831\u5c0e\u3001\u76ee\u5149\u3001\u8b9a\u8b7d\u5e2d\u6372\u800c\u4f86\u3002<\/p>\n\n\n\n<p>\u4e09\u5341\u5e74\u7684\u5922\u60f3\uff0c\u4e03\u5e74\u7684\u601d\u7d22\u3001\u5c08\u6ce8\u3001\u5b64\u7368\uff0c\u4f3c\u4e4e\u4e00\u5207\u90fd\u6709\u4e86\u5713\u6eff\u7684\u7b54\u6848\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u4f46\u5728\u4e09\u500b\u6708\u7684\u540c\u5115\u8ad6\u6587\u5be9\u67e5\u4e2d\uff0c\u5176\u4ed6\u6578\u5b78\u5bb6\u767c\u73fe\u61f7\u723e\u65af\u62d3\u5c55Kolyvagin-Flach\u65b9\u6cd5\uff0c\u5efa\u69cb\u6b50\u62c9\u7cfb\u7d71\uff08<a href=\"https:\/\/en.wikipedia.org\/wiki\/Euler_system\" target=\"_blank\" rel=\"noreferrer noopener\" title=\"Euler System\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0205e9\" class=\"has-inline-color\">Euler System<\/mark><\/a>\uff09\u6642\u51fa\u73fe\u758f\u6f0f\uff0c\u5c0e\u81f4\u6839\u672c\u6027\u7684\u8b2c\u8aa4\uff0c\u800c\u9019\u5c07\u5f71\u97ff\u6574\u7bc7\u8ad6\u6587\u7684\u6210\u6557\u3002<\/p>\n\n\n\n<p>\u4e5d\u6708\uff0c\u61f7\u723e\u65af\u627e\u4f86\u4ee5\u524d\u7684\u5b78\u751f\u7406\u67e5\u30fb\u6cf0\u52d2\uff08Richard Taylor\uff09\u5354\u52a9\uff0c\u5617\u8a66\u6539\u9032\u65b9\u6cd5\u4ee5\u6d88\u9664\u8b2c\u8aa4\u3002\u4f46\u5c31\u597d\u50cf\u5927\u8173\u786c\u8981\u585e\u5165\u7070\u59d1\u5a18\u7684\u6c34\u6676\u978b\uff0c\u8173\u8dbe\u9032\u53bb\u4e86\u8173\u6839\u5c31\u8dd1\u51fa\u4f86\u3001\u5927\u62c7\u6307\u9032\u53bb\u4e86\u8173\u6839\u5c31\u9032\u4e0d\u53bb\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u4f9d\u820a\u7121\u89e3\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u6614\u65e5\u7684\u6b4c\u980c\u8207\u8b9a\u8b7d\uff0c\u5982\u4eca\u8b8a\u70ba\u58d3\u529b\u8207\u8cea\u7591\u3002<\/p>\n\n\n\n<p>\u7576\u6642\u5728\u61f7\u723e\u65af\u4efb\u6559\u7684\u666e\u6797\u65af\u9813\uff0c\u6d41\u50b3\u8457\u9019\u9ebc\u4e00\u53e5\u8a71\uff1a\u300c\u4eba\u5011\u4e0d\u662f\u5728\u8a0e\u8ad6\u8f9b\u666e\u68ee\u6bba\u59bb\u6848\uff0c\u5c31\u662f\u5728\u8a0e\u8ad6\u61f7\u723e\u65af\u5931\u6557\u7684\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406\u3002\u300d<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/03\/\u7126\u616e.jpg\" alt=\"\u7126\u616e\" class=\"wp-image-727\" width=\"320\" height=\"214\" title=\"\" srcset=\"https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/03\/\u7126\u616e.jpg 640w, https:\/\/sciencespirits.com\/wp-content\/uploads\/2022\/03\/\u7126\u616e-300x200.jpg 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/figure><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u4e00\u5e74\u904e\u53bb\uff0c\u61f7\u723e\u65af\u4f9d\u820a\u7121\u6cd5\u89e3\u6c7a\u554f\u984c\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>1994\u5e749\u670814\u65e5\uff0c\u661f\u671f\u4e00\uff0c\u6e05\u6668\u3002<\/p>\n\n\n\n<p>\u61f7\u723e\u65af\u6700\u5f8c\u4e00\u6b21\u7ffb\u95b1\u8ad6\u6587\u624b\u7a3f\uff0c\u60f3\u8981\u8b93\u8166\u888b\u63a5\u53d7\u81ea\u5df1\u7684\u7121\u80fd\u70ba\u529b\uff0c\u7d66\u4e88\u5931\u6557\u8207\u653e\u68c4\u4e00\u500b\u7406\u7531\u3002<\/p>\n\n\n\n<p>\u624b\u7a3f\u7684\u6bcf\u500b\u5b57\u53e5\uff0c\u90fd\u5f77\u5f7f\u7ae5\u5e74\u5922\u60f3\u7684\u8f13\u6b4c\u3002\u66f8\u684c\u4e0a\u51cc\u4e82\u7684\u6587\u4ef6\u62f7\u554f\u8457\u9748\u9b42\uff0c\u516b\u5e74\u7684\u6642\u9593\u8207\u6295\u5165\u662f\u5426\u503c\u5f97\u3002<\/p>\n\n\n\n<p>\u604d\u82e5\u9081\u5165\u7121\u76e1\u9ed1\u6697\u7684\u5730\u7344\uff0c\u6c88\u91cd\u7121\u6bd4\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u4f60\u6703\u5f8c\u6094-\u8ffd\u5c0b\u5922\u60f3\u55ce\"><span class=\"ez-toc-section\" id=\"%e4%bd%a0%e6%9c%83%e5%be%8c%e6%82%94%ef%bc%8c%e8%bf%bd%e5%b0%8b%e5%a4%a2%e6%83%b3%e5%97%8e%ef%bc%9f\"><\/span>\u4f60\u6703\u5f8c\u6094\uff0c\u8ffd\u5c0b\u5922\u60f3\u55ce\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u300c\u7a81\u7136\u9593\uff0c\u5b8c\u5168\u51fa\u4e4e\u610f\u6599\u5730\uff0c\u6211\u5f97\u5230\u9019\u4ee4\u4eba\u96e3\u4ee5\u7f6e\u4fe1\u7684\u555f\u793a\u3002\u6211\u610f\u8b58\u5230\uff0c\u8b93\u6211\u505c\u99d0\u7684\uff0c\u6b63\u662f\u53ef\u4ee5\u89e3\u6c7a\u554f\u984c\u7684\u95dc\u9375\u3002\u300d\uff0c\u61f7\u723e\u65af\u5982\u662f\u56de\u61b6\u9053\u3002<\/p>\n\n\n\n<p>\u4e09\u5e74\u524d\u5fb9\u5e95\u62cb\u68c4\u7684\u5ca9\u6fa4\u7406\u8ad6\uff0c\u7adf\u7136\u662f\u89e3\u6c7a\u773c\u524d\u758f\u6f0f\u6700\u91cd\u8981\u7684\u9470\u5319\uff01<\/p>\n\n\n\n<p>\u5982\u6b64\u7c21\u55ae\u3001\u5982\u6b64\u5178\u96c5\u3001\u5982\u6b64\u512a\u7f8e\uff0c\u539f\u4f86\u901a\u5f80\u771f\u7406\u5929\u5802\u5927\u9580\u7684\u95dc\u9375\uff0c\u65e9\u5c31\u5728\u81ea\u5df1\u7684\u624b\u4e2d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u4e09\u767e\u4e94\u5341\u516b\u5e74\u7684\u6f2b\u6f2b\u9577\u8def\uff0c\u5728\u6b64\u523b\u8d70\u5230\u4e86\u5c3e\u8072\u3002<\/p>\n\n\n\n<p>\u8cbb\u99ac\u6700\u5f8c\u7684\u672a\u77e5\uff0c\u4e5f\u5728\u6b64\u523b\u5283\u4e0b\u5713\u6eff\u7684\u53e5\u9ede\uff08\u8acb\u53c3\u8003\u5ef6\u4f38\u95b1\u8b80\uff09<a href=\"https:\/\/sciencespirits.com\/fields-medal\/\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0611f3\" class=\"has-inline-color\"><\/mark><\/a>\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u5ef6\u4f38\u95b1\u8b80\uff1a<a href=\"https:\/\/sciencespirits.com\/fields-medal\/\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0a2ced\" class=\"has-inline-color\">\u83f2\u723e\u8332\u734e\uff0d\u8b93\u4eba\u56f0\u60d1\u7684\u4eba\u985e\u5fc3\u667a\u5dd4\u5cf0\u2026\u2026<\/mark><\/a><\/p><\/blockquote>\n\n\n\n<p><strong>\u5b89\u5fb7\u9b6f\u30fb\u7d04\u7ff0\u30fb\u61f7\u723e\u65af<\/strong>\uff0c<\/p>\n\n\n\n<p>\u7528\u4ed6\u7684\u751f\u547d\uff0c\u5728\u4eba\u985e\u6587\u660e\u77d7\u7acb\u4e86\u4e0d\u673d\u7684\u8c50\u7891\u3002\u4eba\u5011\u6703\u6c38\u9060\u8a18\u5f97\u4ed6\u5e73\u975c\u7684\u5fae\u7b11\uff0c\u7121\u8ad6\u906d\u9047\u4f55\u7b49\u9006\u5883\u56f0\u96e3\uff0c\u59cb\u7d42\u5805\u5b9a\u5730\u5411\u4e16\u754c\u767c\u8072\uff1a<\/p>\n\n\n\n<p><strong>\u300c\u6211\u60f3\uff0c\u6211\u5011\u5c31\u5728\u9019\u88e1\u7d50\u675f\u3002<\/strong>\u300d<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u5982\u679c\u89ba\u5f97\u6587\u7ae0\u9084\u4e0d\u932f\uff0c\u6b61\u8fce\u548c\u597d\u53cb<strong>\u300c\u5206\u4eab\u300d<\/strong>\uff0c\u4e0b\u9762\u6309\u8b9a\u7684\u6309\u9215\uff0c\u7528\u529b\u9ede\u4e94\u4e0b\u53ef\u4ee5\u300c\u514d\u8cbb\u300d\u7684\u5e6b\u52a9\u6211\uff08\u9700\u8a3b\u518a\uff09\uff0c\u611f\u8b1d\u4f60\uff01\uff01<\/p><p>\u6216\u8005\u5982\u679c\u4f60\u9858\u610f\uff0c\u53ef\u4ee5\u300c<a href=\"https:\/\/payment.ecpay.com.tw\/Broadcaster\/Donate\/5410F8DC636F4F33614F49AA36F618C6\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#180bf5\" class=\"has-inline-color\"><strong>\u8d0a\u52a9\u6211\u4e00\u676f\u5496\u5561<\/strong>\u2668<\/mark><\/a><a href=\"https:\/\/payment.ecpay.com.tw\/Broadcaster\/Donate\/5410F8DC636F4F33614F49AA36F618C6\" target=\"_blank\" rel=\"noreferrer noopener\"><\/a>\u300d\uff0c\u4f60\u7684\u652f\u6301\u662f\u6211\u66f8\u5beb\u6587\u7ae0\u6700\u5927\u7684\u52d5\u529b\u4e4b\u4e00\u3002<\/p><cite>\u5c0f\u8072\u7684\u8aaa\uff0c\u5176\u5be6<strong><mark>\u53f3\u65b9<\/mark><mark>\u8207<\/mark><mark>\u4e0b\u65b9<\/mark><\/strong>\u7684\u7db2\u7ad9\u4e5f\u90fd\u4e0d\u8cf4\uff0c\u4f60\u4e5f\u53ef\u4ee5\u53c3\u8003\u5466\uff5e(\u706c\u00ba\u03c9\u00ba\u706c)<\/cite><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u8cbb\u99ac\u5927\u5b9a\u7406\uff0c\u4e5f\u88ab\u7a31\u70ba\u8cbb\u99ac\u6700\u5f8c\u5b9a\u7406\uff08Fermat\u2019s Last Theorem\uff09 \uff0c\u4e00\u6bb5\u53ef\u6b4c\u53ef\u6ce3\u7684\u771f\u5be6\u6545\u4e8b\u3002 \u5728 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":270,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"lc_iscn_info":[],"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[4],"tags":[],"modified_by":"\u660e\u5fc3","_links":{"self":[{"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/posts\/268"}],"collection":[{"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/comments?post=268"}],"version-history":[{"count":2,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/posts\/268\/revisions"}],"predecessor-version":[{"id":2825,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/posts\/268\/revisions\/2825"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/media\/270"}],"wp:attachment":[{"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/media?parent=268"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/categories?post=268"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sciencespirits.com\/wp-json\/wp\/v2\/tags?post=268"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}