{"id":999961,"date":"2024-12-27T09:45:48","date_gmt":"2024-12-27T01:45:48","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/999961.html"},"modified":"2024-12-27T09:45:50","modified_gmt":"2024-12-27T01:45:50","slug":"python%e5%a6%82%e4%bd%95%e6%b1%82%e8%a7%a3%e5%8f%8d%e7%b4%a0%e6%95%b0","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/999961.html","title":{"rendered":"python\u5982\u4f55\u6c42\u89e3\u53cd\u7d20\u6570"},"content":{"rendered":"

\"python\u5982\u4f55\u6c42\u89e3\u53cd\u7d20\u6570\"<\/p>\n

Python\u6c42\u89e3\u53cd\u7d20\u6570\u7684\u65b9\u6cd5\u4e3b\u8981\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a\u7406\u89e3\u53cd\u7d20\u6570\u7684\u5b9a\u4e49\u3001\u4f7f\u7528\u66b4\u529b\u641c\u7d22\u7b97\u6cd5\u3001\u4f18\u5316\u641c\u7d22\u7b97\u6cd5\u4ee5\u63d0\u9ad8\u6548\u7387\u3002<\/strong>\u5176\u4e2d\uff0c\u4f18\u5316\u641c\u7d22\u7b97\u6cd5\u662f\u5173\u952e\uff0c\u56e0\u4e3a\u53cd\u7d20\u6570\u7684\u5b9a\u4e49\u51b3\u5b9a\u4e86\u5176\u8ba1\u7b97\u590d\u6742\u5ea6\u8f83\u9ad8\u3002\u6211\u4eec\u5c06\u8be6\u7ec6\u63a2\u8ba8\u5982\u4f55\u5b9e\u73b0\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u4ee5\u6709\u6548\u5730\u5bfb\u627e\u53cd\u7d20\u6570\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u53cd\u7d20\u6570\u7684\u5b9a\u4e49\u4e0e\u6027\u8d28<\/p>\n<\/p>\n

\u53cd\u7d20\u6570\uff0c\u53c8\u79f0\u9ad8\u5ea6\u5408\u6210\u6570\uff0c\u662f\u6307\u6bd4\u4efb\u4f55\u8f83\u5c0f\u81ea\u7136\u6570\u90fd\u6709\u66f4\u591a\u56e0\u5b50\u7684\u6570\u3002\u8fd9\u610f\u5473\u7740\u53cd\u7d20\u6570\u5728\u5176\u6240\u6709\u5c0f\u4e8e\u81ea\u8eab\u7684\u6b63\u6574\u6570\u4e2d\uff0c\u5177\u6709\u6700\u5927\u7684\u56e0\u5b50\u6570\u91cf\u3002\u53cd\u7d20\u6570\u5177\u6709\u4e00\u4e9b\u6709\u8da3\u7684\u6570\u5b66\u6027\u8d28\uff0c\u4f8b\u5982\u5b83\u4eec\u901a\u5e38\u662f\u591a\u4e2a\u5c0f\u7d20\u6570\u7684\u4e58\u79ef\uff0c\u56e0\u4e3a\u8fd9\u6837\u53ef\u4ee5\u4ea7\u751f\u66f4\u591a\u7684\u56e0\u5b50\u3002<\/p>\n<\/p>\n

\u53cd\u7d20\u6570\u7684\u6027\u8d28\u4f7f\u5f97\u5b83\u4eec\u5728\u6570\u8bba\u548c\u7ec4\u5408\u6570\u5b66\u4e2d\u6709\u7740\u91cd\u8981\u7684\u5e94\u7528\u3002\u4e86\u89e3\u53cd\u7d20\u6570\u7684\u5b9a\u4e49\u548c\u6027\u8d28\u662f\u6c42\u89e3\u8fc7\u7a0b\u4e2d\u5fc5\u4e0d\u53ef\u5c11\u7684\u4e00\u6b65\uff0c\u56e0\u4e3a\u5b83\u4e3a\u6211\u4eec\u8bbe\u8ba1\u7b97\u6cd5\u63d0\u4f9b\u4e86\u6307\u5bfc\u539f\u5219\u3002<\/p>\n<\/p>\n

\u4e8c\u3001\u57fa\u672c\u641c\u7d22\u7b97\u6cd5<\/p>\n<\/p>\n

    \n
  1. \u66b4\u529b\u641c\u7d22<\/li>\n<\/ol>\n

    \u6700\u7b80\u5355\u7684\u6c42\u89e3\u53cd\u7d20\u6570\u7684\u65b9\u6cd5\u662f\u66b4\u529b\u641c\u7d22\uff0c\u5373\u4ece1\u5f00\u59cb\u68c0\u67e5\u6bcf\u4e2a\u6574\u6570\u7684\u56e0\u5b50\u6570\u91cf\uff0c\u7136\u540e\u6bd4\u8f83\u56e0\u5b50\u6570\u91cf\u4ee5\u786e\u5b9a\u53cd\u7d20\u6570\u3002\u8fd9\u79cd\u65b9\u6cd5\u867d\u7136\u7b80\u5355\uff0c\u4f46\u8ba1\u7b97\u590d\u6742\u5ea6\u8f83\u9ad8\uff0c\u56e0\u4e3a\u9700\u8981\u8ba1\u7b97\u6bcf\u4e2a\u6570\u7684\u56e0\u5b50\u3002<\/p>\n<\/p>\n

    def count_divisors(n):<\/p>\n
        count = 0<\/p>\n
        for i in range(1, int(n  0.5) + 1):<\/p>\n
            if n % i == 0:<\/p>\n
                count += 2 if i != n \/\/ i else 1<\/p>\n
        return count<\/p>\n
    def find_anti_prime(limit):<\/p>\n
        max_divisors = 0<\/p>\n
        anti_prime = 0<\/p>\n
        for n in range(1, limit + 1):<\/p>\n
            divisors = count_divisors(n)<\/p>\n
            if divisors > max_divisors:<\/p>\n
                max_divisors = divisors<\/p>\n
                anti_prime = n<\/p>\n
        return anti_prime<\/p>\n
    print(find_anti_prime(10000))<\/p>\n
    <\/code><\/pre>\n<\/p>\n
      \n
    1. \u4f18\u5316\u641c\u7d22\u7b97\u6cd5<\/li>\n<\/ol>\n
      \u66b4\u529b\u641c\u7d22\u7684\u6548\u7387\u8f83\u4f4e\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4f18\u5316\u7b97\u6cd5\u6765\u63d0\u9ad8\u6548\u7387\u3002\u4f8b\u5982\uff0c\u5229\u7528\u7d20\u6570\u7684\u6027\u8d28\u548c\u7ec4\u5408\u6765\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u7d20\u6570\u7684\u5e42\u6b21\u7ec4\u5408\u6765\u751f\u6210\u5019\u9009\u53cd\u7d20\u6570\u3002<\/p>\n<\/p>\n
      \u4e09\u3001\u4f18\u5316\u641c\u7d22\u7b97\u6cd5<\/p>\n<\/p>\n
        \n
      1. \u4f7f\u7528\u7d20\u6570\u7ec4\u5408<\/li>\n<\/ol>\n
        \u53cd\u7d20\u6570\u901a\u5e38\u662f\u591a\u4e2a\u5c0f\u7d20\u6570\u7684\u4e58\u79ef\uff0c\u56e0\u6b64\u53ef\u4ee5\u5229\u7528\u7d20\u6570\u7ec4\u5408\u6765\u751f\u6210\u5019\u9009\u53cd\u7d20\u6570\u3002\u6211\u4eec\u53ef\u4ee5\u9884\u5148\u751f\u6210\u4e00\u7ec4\u5c0f\u7d20\u6570\uff0c\u7136\u540e\u901a\u8fc7\u9012\u5f52\u6216\u8fed\u4ee3\u7684\u65b9\u6cd5\u751f\u6210\u7d20\u6570\u7684\u7ec4\u5408\u3002<\/p>\n<\/p>\n
        from itertools import combinations_with_replacement<\/p>\n
        def generate_prime_combinations(primes, max_exp, limit):<\/p>\n
            def generate_products(primes, exps, index=0, product=1):<\/p>\n
                if index == len(primes):<\/p>\n
                    if product <= limit:<\/p>\n
                        yield product<\/p>\n
                    return<\/p>\n
                for exp in range(exps[index] + 1):<\/p>\n
                    new_product = product * (primes[index]  exp)<\/p>\n
                    if new_product > limit:<\/p>\n
                        break<\/p>\n
                    yield from generate_products(primes, exps, index + 1, new_product)<\/p>\n
            exps = [max_exp] * len(primes)<\/p>\n
            return list(generate_products(primes, exps))<\/p>\n
        primes = [2, 3, 5, 7, 11, 13, 17]<\/p>\n
        combinations = generate_prime_combinations(primes, 3, 10000)<\/p>\n
        <\/code><\/pre>\n<\/p>\n
          \n
        1. \u8ba1\u7b97\u56e0\u5b50\u6570\u91cf<\/li>\n<\/ol>\n
          \u5728\u751f\u6210\u5019\u9009\u53cd\u7d20\u6570\u540e\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u6bcf\u4e2a\u6570\u7684\u56e0\u5b50\u6570\u91cf\u3002\u8fd9\u53ef\u4ee5\u901a\u8fc7\u5bf9\u751f\u6210\u7684\u6570\u8fdb\u884c\u56e0\u5b50\u5206\u89e3\u6765\u5b9e\u73b0\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u751f\u6210\u7684\u6570\uff0c\u6211\u4eec\u8ba1\u7b97\u5176\u56e0\u5b50\u7684\u6570\u91cf\uff0c\u5e76\u6bd4\u8f83\u4ee5\u627e\u5230\u53cd\u7d20\u6570\u3002<\/p>\n<\/p>\n
          def count_divisors_from_factors(n, factors):<\/p>\n
              divisors = 1<\/p>\n
              for factor, exp in factors.items():<\/p>\n
                  divisors *= (exp + 1)<\/p>\n
              return divisors<\/p>\n
          def find_anti_prime_optimized(limit):<\/p>\n
              primes = [2, 3, 5, 7, 11, 13, 17]<\/p>\n
              combinations = generate_prime_combinations(primes, 3, limit)<\/p>\n
              max_divisors = 0<\/p>\n
              anti_prime = 0<\/p>\n
              for n in combinations:<\/p>\n
                  factors = factorize(n, primes)<\/p>\n
                  divisors = count_divisors_from_factors(n, factors)<\/p>\n
                  if divisors > max_divisors:<\/p>\n
                      max_divisors = divisors<\/p>\n
                      anti_prime = n<\/p>\n
              return anti_prime<\/p>\n
          print(find_anti_prime_optimized(10000))<\/p>\n
          <\/code><\/pre>\n<\/p>\n
          \u56db\u3001\u4ee3\u7801\u4f18\u5316\u4e0e\u6027\u80fd\u5206\u6790<\/p>\n<\/p>\n
            \n
          1. \u4f18\u5316\u4ee3\u7801\u7ed3\u6784<\/li>\n<\/ol>\n
            \u5728\u5b9e\u73b0\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u5e94\u6ce8\u610f\u4ee3\u7801\u7684\u7ed3\u6784\u548c\u53ef\u8bfb\u6027\u3002\u5c06\u51fd\u6570\u8fdb\u884c\u6a21\u5757\u5316\u5904\u7406\uff0c\u6709\u52a9\u4e8e\u63d0\u9ad8\u4ee3\u7801\u7684\u53ef\u7ef4\u62a4\u6027\u548c\u53ef\u91cd\u7528\u6027\u3002<\/p>\n<\/p>\n
              \n
            1. \u6027\u80fd\u5206\u6790<\/li>\n<\/ol>\n
              \u5728\u4f18\u5316\u7b97\u6cd5\u540e\uff0c\u6211\u4eec\u5e94\u5bf9\u7b97\u6cd5\u7684\u6027\u80fd\u8fdb\u884c\u5206\u6790\u3002\u4f8b\u5982\uff0c\u4f7f\u7528\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\u548c\u7a7a\u95f4\u590d\u6742\u5ea6\u5206\u6790\u6765\u8bc4\u4f30\u7b97<\/a>\u6cd5\u7684\u6548\u7387\u3002\u901a\u8fc7\u5206\u6790\uff0c\u6211\u4eec\u53ef\u4ee5\u8fdb\u4e00\u6b65\u4f18\u5316\u7b97\u6cd5\uff0c\u6216\u9009\u62e9\u5408\u9002\u7684\u53c2\u6570\u6765\u63d0\u9ad8\u7b97\u6cd5\u7684\u6027\u80fd\u3002<\/p>\n<\/p>\n
              \u4e94\u3001\u603b\u7ed3\u4e0e\u5e94\u7528<\/p>\n<\/p>\n
              \u6c42\u89e3\u53cd\u7d20\u6570\u662f\u4e00\u4e2a\u590d\u6742\u7684\u6570\u5b66\u95ee\u9898\uff0c\u9700\u8981\u7ed3\u5408\u6570\u5b66\u7406\u8bba\u548c\u8ba1\u7b97\u673a\u7b97\u6cd5\u8fdb\u884c\u6c42\u89e3\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u53cd\u7d20\u6570\u7684\u6c42\u89e3\u53ef\u4ee5\u7528\u4e8e\u4f18\u5316\u7ec4\u5408\u95ee\u9898\u3001\u6570\u636e\u5206\u533a\u7b49\u9886\u57df\u3002\u901a\u8fc7\u5bf9\u53cd\u7d20\u6570\u7684\u7814\u7a76\uff0c\u6211\u4eec\u53ef\u4ee5\u52a0\u6df1\u5bf9\u6570\u8bba\u548c\u7ec4\u5408\u6570\u5b66\u7684\u7406\u89e3\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u5b9e\u9645\u95ee\u9898\u4e2d\u3002<\/p>\n<\/p>\n
              \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
               \u53cd\u7d20\u6570\u662f\u4ec0\u4e48\uff0c\u5982\u4f55\u5b9a\u4e49\u5b83\u4eec\uff1f<\/strong>
              \u53cd\u7d20\u6570\uff0c\u53c8\u79f0\u4e3a\u5408\u6210\u6570\uff0c\u6307\u7684\u662f\u5927\u4e8e1\u7684\u81ea\u7136\u6570\uff0c\u5b83\u4eec\u53ef\u4ee5\u88ab\u5176\u4ed6\u81ea\u7136\u6570\uff08\u9664\u4e861\u548c\u81ea\u8eab\uff09\u6574\u9664\u3002\u8fd9\u610f\u5473\u7740\u53cd\u7d20\u6570\u81f3\u5c11\u6709\u4e00\u4e2a\u56e0\u5b50\uff0c\u9664\u4e861\u548c\u5b83\u672c\u8eab\u3002\u56e0\u6b64\uff0c\u6240\u6709\u7684\u53cd\u7d20\u6570\u90fd\u662f\u5408\u6210\u6570\uff0c\u5373\u4e0d\u662f\u7d20\u6570\u7684\u6570\u3002<\/p>\n
              \u5982\u4f55\u4f7f\u7528Python\u6765\u8bc6\u522b\u53cd\u7d20\u6570\uff1f<\/strong>
              \u5728Python\u4e2d\uff0c\u53ef\u4ee5\u901a\u8fc7\u7f16\u5199\u4e00\u4e2a\u51fd\u6570\u6765\u68c0\u67e5\u4e00\u4e2a\u7ed9\u5b9a\u7684\u6574\u6570\u662f\u5426\u4e3a\u53cd\u7d20\u6570\u3002\u53ef\u4ee5\u901a\u8fc7\u5faa\u73af\u4ece2\u5230\u8be5\u6570\u7684\u5e73\u65b9\u6839\uff0c\u68c0\u67e5\u8be5\u6570\u662f\u5426\u53ef\u4ee5\u88ab\u8fd9\u4e9b\u6570\u6574\u9664\u3002\u5982\u679c\u53ef\u4ee5\u6574\u9664\uff0c\u5219\u8be5\u6570\u4e3a\u53cd\u7d20\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n
              def is_composite(n):\n    if n < 4:  # \u53cd\u7d20\u6570\u4ece4\u5f00\u59cb\n        return False\n    for i in range(2, int(n**0.5) + 1):\n        if n % i == 0:\n            return True\n    return False\n\n# \u793a\u4f8b\nprint(is_composite(4))  # \u8f93\u51fa\uff1aTrue\nprint(is_composite(5))  # \u8f93\u51fa\uff1aFalse\n<\/code><\/pre>\n
              \u5982\u4f55\u5728Python\u4e2d\u67e5\u627e\u4e00\u5b9a\u8303\u56f4\u5185\u7684\u6240\u6709\u53cd\u7d20\u6570\uff1f<\/strong>
              \u5982\u679c\u9700\u8981\u5728\u7279\u5b9a\u8303\u56f4\u5185\u627e\u5230\u6240\u6709\u7684\u53cd\u7d20\u6570\uff0c\u53ef\u4ee5\u4f7f\u7528\u5217\u8868\u63a8\u5bfc\u5f0f\u7ed3\u5408\u524d\u9762\u63d0\u5230\u7684\u51fd\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u5bfb\u627e\u8303\u56f4\u5185\u53cd\u7d20\u6570\u7684\u793a\u4f8b\uff1a<\/p>\n
              def find_composites_in_range(start, end):\n    return [n for n in range(start, end + 1) if is_composite(n)]\n\n# \u793a\u4f8b\nprint(find_composites_in_range(1, 30))  # \u8f93\u51fa\uff1a\u4ece1\u523030\u7684\u53cd\u7d20\u6570\n<\/code><\/pre>\n
              \u53cd\u7d20\u6570\u5728\u6570\u5b66\u548c\u7f16\u7a0b\u4e2d\u7684\u5e94\u7528\u6709\u54ea\u4e9b\uff1f<\/strong>
              \u53cd\u7d20\u6570\u5728\u6570\u5b66\u4e2d\u7684\u91cd\u8981\u6027\u4f53\u73b0\u5728\u6570\u8bba\u548c\u56e0\u5b50\u5206\u89e3\u4e2d\u3002\u5b83\u4eec\u5728\u52a0\u5bc6\u7b97\u6cd5\u3001\u8ba1\u7b97\u590d\u6742\u6027\u548c\u6570\u636e\u7ed3\u6784\u4e2d\u4e5f\u5177\u6709\u5e94\u7528\u3002\u4f8b\u5982\uff0cRSA\u7b97\u6cd5\u7684\u5b89\u5168\u6027\u4f9d\u8d56\u4e8e\u5927\u8d28\u6570\u7684\u5206\u89e3\uff0c\u800c\u5408\u6210\u6570\u7684\u6027\u8d28\u5219\u7528\u4e8e\u751f\u6210\u5bc6\u94a5\u3002\u6b64\u5916\uff0c\u53cd\u7d20\u6570\u7684\u6982\u5ff5\u8fd8\u53ef\u4ee5\u5e2e\u52a9\u7a0b\u5e8f\u5458\u7406\u89e3\u7b97\u6cd5\u6548\u7387\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\u65f6\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u6c42\u89e3\u53cd\u7d20\u6570\u7684\u65b9\u6cd5\u4e3b\u8981\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a\u7406\u89e3\u53cd\u7d20\u6570\u7684\u5b9a\u4e49\u3001\u4f7f\u7528\u66b4\u529b\u641c\u7d22\u7b97\u6cd5\u3001\u4f18\u5316\u641c\u7d22\u7b97\u6cd5\u4ee5\u63d0\u9ad8\u6548\u7387\u3002 […]","protected":false},"author":3,"featured_media":999973,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/999961"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=999961"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/999961\/revisions"}],"predecessor-version":[{"id":999975,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/999961\/revisions\/999975"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/999973"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=999961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=999961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=999961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}