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\u9053\u7684\u6570\u5b57\u7cfb\u7edf\u53ef\u4ee5\u79f0\u4e4b\u4e3a\u201c\u516b\u5366\u201d\uff0c\u4e14\u8be5\u7cfb\u7edf\u4e2d\u6240\u6709\u7684\u6570\u90fd\u53ef\u4ee5\u7531\u5269\u4f59\u7c7b\u5927\u5b9a\u7406\u6765\u8fdb\u884c\u5206\u7c7b\u3002\u5b54\u5b50\u8bf4\uff1a\u201c\u4e09\u5341\u800c\u7acb\u3002\u201d\u5c06\u81ea\u7136\u6570\u6392\u5217\u4e3a30\u4e2a\u65e0\u9650\u6570\u5217\uff0c\u7ecf\u5206\u5947\u5076\uff0c\u53bb\u9664\u53ef\u75313\u548c5\u6574\u9664\u7684\u6570\u5217\uff0c\u53ef\u4ee5\u5f97\u5230\u516b\u4e2a\u6570\u5217\uff0c\u53ef\u5c06\u5176\u79f0\u4e4b\u4e3a\u201c\u516b\u5366\u6570\u5217\u201d\u3002\u4e0b\u8ff0\u516b\u4e2a\u65e0\u9650\u6570\u5217\u4e3a\u516b\u5366\u6570\u5217\uff1a<\/p>\n\n\n\n<p>1. 1+30(n-1), \u6216\uff1a31+30(n-1),<br>2. 7+30(n-1),<br>3. 11+30(n-1),<br>4. 13+30(n-1),<br>5. 17+30(n-1),<br>6. 19+30(n-1),<br>7. 23+30(n-1),<br>8. 29+30(n-1).<\/p>\n\n\n\n<p>\u9664\u4e862\u30013\u30015\uff0c\u6240\u6709\u7684\u7d20\u6570\u90fd\u5728\u8fd9\u516b\u4e2a\u6570\u5217\u4e2d\u3002\u7531\u4e8e\u5728\u81ea\u7136\u6570\u7684\u5206\u7c7b\u4e0a\u6d89\u53ca\u5927\u6570\uff0c\u6240\u4ee5\u7814\u7a76\u53d8\u5f97\u6781\u4e3a\u56f0\u96be\u3002\u7136\u800c\uff0c\u5927\u6570\u7814\u7a76\u51e0\u4e4e\u4ecd\u7136\u662f\u6570\u5b66\u9886\u57df\u7684\u5904\u5973\u5730\uff0c\u800c\u516b\u5366\u7cfb\u7edf\u5f88\u53ef\u80fd\u662f\u7814\u7a76\u5927\u6570\u7684\u6700\u7b80\u548c\u6700\u4f18\u7cfb\u7edf\u3002\u6b64\u5916\uff0c\u7531\u4e8e\u7d20\u6570\u4e5f\u88ab\u5305\u542b\u5728\u8fd9\u4e9b\u88ab\u5206\u7c7b\u7684\u6570\u5217\u91cc\u9762\uff0c\u6240\u4ee5\uff0c\u5b9e\u9645\u4e0a\u8fd9\u4e9b\u7d20\u6570\u4e5f\u5c31\u88ab\u7528\u540c\u6837\u7684\u65b9\u6cd5\u5206\u7c7b\u4e86\u3002\u8fd9\u6837\uff0c\u53ea\u8981\u628a\u4e00\u79cd\u7c7b\u522b\u7684\u7d20\u6570\u548c\u53e6\u4e00\u79cd\u7c7b\u522b\u7684\u7d20\u6570\u76f8\u52a0\uff0c\u5c31\u53ef\u4ee5\u6784\u6210\u4e0d\u540c\u7684\u5408\u6570\uff0c\u8fd9\u5c31\u610f\u5473\u7740\uff0c\u516b\u5366\u7cfb\u7edf\u5f88\u6709\u53ef\u80fd\u662f\u4f7f\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u5f97\u5230\u6700\u7ec8\u89e3\u51b3\u7684\u7edd\u5999\u9014\u5f84\u3002\u4ece\u516b\u5366\u7cfb\u7edf\u53ef\u4ee5\u5f88\u597d\u5730\u5904\u7406\u7d20\u6570\u8fd9\u4e2a\u89d2\u5ea6\u6765\u770b\uff0c\u53c8\u4ee5\u628a\u516b\u5366\u7cfb\u7edf\u79f0\u4e4b\u4e3a\u201c\u516b\u5366\u7b5b\u6cd5\u201d\u3002<\/p>\n\n\n\n<p>\u516b\u5366\u7cfb\u7edf\u5bf9\u81ea\u7136\u6570\u4f5c\u4e86\u6781\u5bcc\u667a\u6167\u7684\u5b89\u6392\uff0c\u4f7f\u5f97\u5e0c\u5c14\u4f2f\u7279\uff08David Hilbert, 1862-1943\uff09\u5173\u4e8e\u5728\u6570\u5217\u7684\u5b50\u7cfb\u7edf\u4e2d\u5c06\u5176\u9996\u6570\u4e00\u4e00\u6307\u51fa\u7684\u8bbe\u60f3\u5f97\u4ee5\u5b9e\u73b0\u3002\u5e0c\u5c14\u4f2f\u7279\u7684\u8868\u8ff0\u4e3a\uff1a\u201c\u73b0\u5728\u8981\u63d0\u51fa\u7684\u95ee\u9898\u662f\uff0c\u6570\u7684\u603b\u4f53\u662f\u5426\u53ef\u4ee5\u7528\u53e6\u5916\u7684\u65b9\u5f0f\u6392\u5217\u8d77\u6765\u4ee5\u4fbf\u4f7f\u6bcf\u4e00\u4e2a\u6570\u5217\u90fd\u6709\u4e00\u4e2a\u9996\u6570\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fde\u7eed\u7edf\u662f\u5426\u4e3a\u826f\u5e8f\u7684\u2500\u2500\u5bf9\u4e8e\u8be5\u95ee\u9898Cantor\u8ba4\u4e3a\u7b54\u6848\u662f\u80af\u5b9a\u7684\u3002\u6211\u5bf9Cantor\u8fd9\u4e00\u8457\u540d\u8bba\u65ad\u53ef\u4ee5\u83b7\u5f97\u76f4\u63a5\u8bc1\u660e\u6709\u5f3a\u70c8\u5174\u8da3\u3002\u4e5f\u8bb8\u5728\u4e00\u4e2a\u5b50\u7cfb\u7edf\u4e2d\u6240\u7ed9\u51fa\u7684\u6570\u5217\u91cc\u53ef\u4ee5\u5c06\u6bcf\u4e2a\u9996\u6570\u4e00\u4e00\u6307\u51fa\u3002\u201d\u3010\u6ce8\u3011 \u516b\u5366\u7684\u6570\u5b57\u5904\u7406\u65b9\u5f0f\u53ef\u4ee5\u4f7f\u5f97\u5b87\u5b99\u81a8\u80c0\u51fa\u6765\u7684\u201c\u70b9\u201d\u53ef\u4ee5\u7528\u6c38\u4e0d\u91cd\u590d\u7684\u6570\u5b57\u6765\u8868\u793a\uff0c\u800c\u56e0\u5176\u91cd\u590d\u800c\u53ef\u4ee5\u5f52\u5165\u4e00\u7c7b\u662f\u7ecf\u7531\u5269\u4f59\u7c7b\u5927\u5b9a\u7406\u6765\u5b9e\u73b0\u7684\u3002\u53ef\u4ee5\u8bf4\uff0c\u516b\u5366\u4f53\u7cfb\u5c31\u662f\u5e0c\u5c14\u4f2f\u7279\u6240\u671f\u5f85\u7684\u8fde\u7eed\u7edf\u3002<br>\u3010\u6ce8\u30111900\u5e74\u5df4\u9ece\u56fd\u9645\u6570\u5b66\u5bb6\u4ee3\u8868\u5927\u4f1a\u4e0a\uff0c\u5fb7\u56fd\u6570\u5b66\u5bb6\u5e0c\u5c14\u4f2f\u7279\u53d1\u8868\u4e86\u9898\u4e3a\u300a\u6570\u5b66\u95ee\u9898\u300b\u7684\u8457\u540d\u8bb2\u6f14\uff0c\u63d0\u51fa\u4e8623\u4e2a\u91cd\u8981\u7684\u6570\u5b66\u95ee\u9898\u3002\u672c\u6587\u4e2d\u5f15\u7528\u7684\u4e3a\u5176\u4e2d\u7684\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u5373\u5eb7\u6258\u5c14\u7684\u8fde\u7eed\u7edf\u5047\u8bf4\u7684\u95ee\u9898\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5e0c\u5c14\u4f2f\u7279\u6240\u63d0\u5230\u7684\u8fde\u7eed\u7edf\u95ee\u9898\u4ee5\u53ca\u7d20\u6570\u5206\u5e03\u95ee\u9898\uff08\u5305\u62ec\u54e5\u5fb7\u5df4\u8d6b\u731c\u60f3\u7684\u95ee\u9898\uff09\u53ef\u80fd\u6700\u7ec8\u90fd\u5f97\u4ee5\u516b\u5366\u4f53\u7cfb\u4e3a\u57fa\u7840\u624d\u80fd\u5f97\u5230\u5b8c\u7f8e\u7684\u89e3\u51b3\u3002<\/p>\n\n\n\n<p>6\uff0e 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