{"id":1160115,"date":"2025-01-13T19:01:10","date_gmt":"2025-01-13T11:01:10","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1160115.html"},"modified":"2025-01-13T19:01:12","modified_gmt":"2025-01-13T11:01:12","slug":"python%e5%a6%82%e4%bd%95%e6%89%be%e5%87%ba%e6%89%80%e6%9c%89%e7%9a%84%e7%b4%a0%e6%95%b0","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1160115.html","title":{"rendered":"python\u5982\u4f55\u627e\u51fa\u6240\u6709\u7684\u7d20\u6570"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25201654\/0857e541-5d32-4554-8d02-8d481a598bbc.webp\" alt=\"python\u5982\u4f55\u627e\u51fa\u6240\u6709\u7684\u7d20\u6570\" \/><\/p>\n<p><p> <strong>Python\u627e\u51fa\u6240\u6709\u7684\u7d20\u6570\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u3001\u8bd5\u9664\u6cd5\u3001\u5206\u6bb5\u7b5b\u6cd5\u3002<\/strong> \u5176\u4e2d\uff0c<strong>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5<\/strong>\u662f\u6700\u5e38\u7528\u4e14\u9ad8\u6548\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u9010\u6b65\u7b5b\u9664\u5408\u6570\u6765\u627e\u51fa\u7d20\u6570\u3002<strong>\u8bd5\u9664\u6cd5<\/strong>\u9002\u7528\u4e8e\u8f83\u5c0f\u8303\u56f4\u7684\u7d20\u6570\u67e5\u627e\uff0c\u901a\u8fc7\u76f4\u63a5\u9664\u6cd5\u5224\u65ad\u6bcf\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u3002<strong>\u5206\u6bb5\u7b5b\u6cd5<\/strong>\u5219\u9002\u7528\u4e8e\u66f4\u5927\u7684\u8303\u56f4\uff0c\u5b83\u7ed3\u5408\u4e86\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u7684\u601d\u60f3\uff0c\u901a\u8fc7\u5206\u6bb5\u5904\u7406\u6765\u4f18\u5316\u5185\u5b58\u4f7f\u7528\u3002<\/p>\n<\/p>\n<p><p><strong>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5<\/strong>\u662f\u6700\u5e38\u7528\u4e14\u9ad8\u6548\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u9010\u6b65\u7b5b\u9664\u5408\u6570\u6765\u627e\u51fa\u7d20\u6570\u3002\u5177\u4f53\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u521b\u5efa\u4e00\u4e2a\u4ece2\u5230n\u7684\u5217\u8868\uff0c\u8868\u793a\u6240\u6709\u53ef\u80fd\u7684\u7d20\u6570\u5019\u9009\u3002<\/li>\n<li>\u4ece\u7b2c\u4e00\u4e2a\u7d20\u6570\uff082\uff09\u5f00\u59cb\uff0c\u5c06\u5176\u500d\u6570\uff084, 6, 8, \u2026\uff09\u6807\u8bb0\u4e3a\u5408\u6570\u3002<\/li>\n<li>\u627e\u5230\u4e0b\u4e00\u4e2a\u672a\u88ab\u6807\u8bb0\u7684\u6570\uff08\u4e0b\u4e00\u4e2a\u7d20\u6570\uff09\uff0c\u91cd\u590d\u6b65\u9aa42\uff0c\u76f4\u5230\u5904\u7406\u5b8c\u6240\u6709\u6570\u3002<\/li>\n<\/ol>\n<p><p>\u4e0b\u9762\u662f\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u7684\u8be6\u7ec6\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def sieve_of_eratosthenes(n):<\/p>\n<p>    primes = [True] * (n + 1)<\/p>\n<p>    p = 2<\/p>\n<p>    while (p * p &lt;= n):<\/p>\n<p>        if primes[p]:<\/p>\n<p>            for i in range(p * p, n + 1, p):<\/p>\n<p>                primes[i] = False<\/p>\n<p>        p += 1<\/p>\n<p>    prime_numbers = [p for p in range(2, n + 1) if primes[p]]<\/p>\n<p>    return prime_numbers<\/p>\n<h2><strong>\u4f7f\u7528\u793a\u4f8b<\/strong><\/h2>\n<p>n = 50<\/p>\n<p>print(f&quot;\u6240\u6709\u5c0f\u4e8e\u7b49\u4e8e {n} \u7684\u7d20\u6570\uff1a{sieve_of_eratosthenes(n)}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e00\u3001\u8bd5\u9664\u6cd5<\/h3>\n<\/p>\n<p><p>\u8bd5\u9664\u6cd5\u662f\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u7684\u6700\u7b80\u5355\u65b9\u6cd5\uff0c\u9002\u7528\u4e8e\u8f83\u5c0f\u8303\u56f4\u7684\u7d20\u6570\u67e5\u627e\u3002\u5b83\u901a\u8fc7\u76f4\u63a5\u9664\u6cd5\u5224\u65ad\u6bcf\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u3002<\/p>\n<\/p>\n<p><h4>\u539f\u7406\u4e0e\u7b97\u6cd5<\/h4>\n<\/p>\n<p><p>\u8bd5\u9664\u6cd5\u7684\u57fa\u672c\u539f\u7406\u662f\uff1a\u4e00\u4e2a\u6570\u82e5\u662f\u7d20\u6570\uff0c\u5219\u5b83\u4e0d\u80fd\u88ab2\u5230\u5b83\u7684\u5e73\u65b9\u6839\u4e4b\u95f4\u7684\u4efb\u4f55\u6574\u6570\u6574\u9664\u3002\u5177\u4f53\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u4ece2\u5f00\u59cb\uff0c\u5bf9\u6bcf\u4e2a\u6570\u8fdb\u884c\u5224\u65ad\u3002<\/li>\n<li>\u5bf9\u4e8e\u6bcf\u4e2a\u6570n\uff0c\u5982\u679cn\u4e0d\u80fd\u88ab2\u5230sqrt(n)\u4e4b\u95f4\u7684\u4efb\u4f55\u6574\u6570\u6574\u9664\uff0c\u5219n\u662f\u7d20\u6570\u3002<\/li>\n<\/ol>\n<p><h4>\u5b9e\u73b0\u793a\u4f8b<\/h4>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<p>def is_prime(n):<\/p>\n<p>    if n &lt;= 1:<\/p>\n<p>        return False<\/p>\n<p>    if n &lt;= 3:<\/p>\n<p>        return True<\/p>\n<p>    if n % 2 == 0 or n % 3 == 0:<\/p>\n<p>        return False<\/p>\n<p>    i = 5<\/p>\n<p>    while i * i &lt;= n:<\/p>\n<p>        if n % i == 0 or n % (i + 2) == 0:<\/p>\n<p>            return False<\/p>\n<p>        i += 6<\/p>\n<p>    return True<\/p>\n<p>def find_primes_up_to(n):<\/p>\n<p>    primes = []<\/p>\n<p>    for num in range(2, n + 1):<\/p>\n<p>        if is_prime(num):<\/p>\n<p>            primes.append(num)<\/p>\n<p>    return primes<\/p>\n<h2><strong>\u4f7f\u7528\u793a\u4f8b<\/strong><\/h2>\n<p>n = 50<\/p>\n<p>print(f&quot;\u6240\u6709\u5c0f\u4e8e\u7b49\u4e8e {n} \u7684\u7d20\u6570\uff1a{find_primes_up_to(n)}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e8c\u3001\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5<\/h3>\n<\/p>\n<p><p>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u627e\u51fa\u7d20\u6570\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u9010\u6b65\u7b5b\u9664\u5408\u6570\u6765\u627e\u51fa\u7d20\u6570\u3002<\/p>\n<\/p>\n<p><h4>\u539f\u7406\u4e0e\u7b97\u6cd5<\/h4>\n<\/p>\n<p><p>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u7684\u57fa\u672c\u539f\u7406\u662f\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u521b\u5efa\u4e00\u4e2a\u4ece2\u5230n\u7684\u5217\u8868\uff0c\u8868\u793a\u6240\u6709\u53ef\u80fd\u7684\u7d20\u6570\u5019\u9009\u3002<\/li>\n<li>\u4ece\u7b2c\u4e00\u4e2a\u7d20\u6570\uff082\uff09\u5f00\u59cb\uff0c\u5c06\u5176\u500d\u6570\uff084, 6, 8, \u2026\uff09\u6807\u8bb0\u4e3a\u5408\u6570\u3002<\/li>\n<li>\u627e\u5230\u4e0b\u4e00\u4e2a\u672a\u88ab\u6807\u8bb0\u7684\u6570\uff08\u4e0b\u4e00\u4e2a\u7d20\u6570\uff09\uff0c\u91cd\u590d\u6b65\u9aa42\uff0c\u76f4\u5230\u5904\u7406\u5b8c\u6240\u6709\u6570\u3002<\/li>\n<\/ol>\n<p><h4>\u5b9e\u73b0\u793a\u4f8b<\/h4>\n<\/p>\n<p><pre><code class=\"language-python\">def sieve_of_eratosthenes(n):<\/p>\n<p>    primes = [True] * (n + 1)<\/p>\n<p>    p = 2<\/p>\n<p>    while (p * p &lt;= n):<\/p>\n<p>        if primes[p]:<\/p>\n<p>            for i in range(p * p, n + 1, p):<\/p>\n<p>                primes[i] = False<\/p>\n<p>        p += 1<\/p>\n<p>    prime_numbers = [p for p in range(2, n + 1) if primes[p]]<\/p>\n<p>    return prime_numbers<\/p>\n<h2><strong>\u4f7f\u7528\u793a\u4f8b<\/strong><\/h2>\n<p>n = 50<\/p>\n<p>print(f&quot;\u6240\u6709\u5c0f\u4e8e\u7b49\u4e8e {n} \u7684\u7d20\u6570\uff1a{sieve_of_eratosthenes(n)}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e09\u3001\u5206\u6bb5\u7b5b\u6cd5<\/h3>\n<\/p>\n<p><p>\u5206\u6bb5\u7b5b\u6cd5\u662f\u4e00\u79cd\u9002\u7528\u4e8e\u66f4\u5927\u8303\u56f4\u7684\u627e\u51fa\u7d20\u6570\u7684\u65b9\u6cd5\uff0c\u5b83\u7ed3\u5408\u4e86\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u7684\u601d\u60f3\uff0c\u901a\u8fc7\u5206\u6bb5\u5904\u7406\u6765\u4f18\u5316\u5185\u5b58\u4f7f\u7528\u3002<\/p>\n<\/p>\n<p><h4>\u539f\u7406\u4e0e\u7b97\u6cd5<\/h4>\n<\/p>\n<p><p>\u5206\u6bb5\u7b5b\u6cd5\u7684\u57fa\u672c\u539f\u7406\u662f\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u5c06\u8303\u56f4\u5206\u6bb5\uff0c\u6bcf\u6b21\u5904\u7406\u4e00\u4e2a\u5c0f\u6bb5\u3002<\/li>\n<li>\u4f7f\u7528\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u627e\u51fa\u5c0f\u6bb5\u4e2d\u7684\u7d20\u6570\u3002<\/li>\n<li>\u9010\u6bb5\u5904\u7406\uff0c\u76f4\u5230\u5b8c\u6210\u6574\u4e2a\u8303\u56f4\u3002<\/li>\n<\/ol>\n<p><h4>\u5b9e\u73b0\u793a\u4f8b<\/h4>\n<\/p>\n<p><pre><code class=\"language-python\">def segmented_sieve(n):<\/p>\n<p>    import math<\/p>\n<p>    limit = int(math.sqrt(n)) + 1<\/p>\n<p>    primes = sieve_of_eratosthenes(limit)<\/p>\n<p>    low = limit<\/p>\n<p>    high = 2 * limit<\/p>\n<p>    prime_numbers = primes.copy()<\/p>\n<p>    while low &lt; n:<\/p>\n<p>        if high &gt;= n:<\/p>\n<p>            high = n<\/p>\n<p>        mark = [True] * (high - low + 1)<\/p>\n<p>        for prime in primes:<\/p>\n<p>            low_lim = max(prime * prime, (low + prime - 1) \/\/ prime * prime)<\/p>\n<p>            for j in range(low_lim, high, prime):<\/p>\n<p>                mark[j - low] = False<\/p>\n<p>        for i in range(low, high):<\/p>\n<p>            if mark[i - low]:<\/p>\n<p>                prime_numbers.append(i)<\/p>\n<p>        low = low + limit<\/p>\n<p>        high = high + limit<\/p>\n<p>    return prime_numbers<\/p>\n<h2><strong>\u4f7f\u7528\u793a\u4f8b<\/strong><\/h2>\n<p>n = 100<\/p>\n<p>print(f&quot;\u6240\u6709\u5c0f\u4e8e\u7b49\u4e8e {n} \u7684\u7d20\u6570\uff1a{segmented_sieve(n)}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u56db\u3001\u6027\u80fd\u6bd4\u8f83\u4e0e\u4f18\u5316<\/h3>\n<\/p>\n<p><p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u4e0d\u540c\u65b9\u6cd5\u7684\u6027\u80fd\u548c\u9002\u7528\u8303\u56f4\u5404\u4e0d\u76f8\u540c\u3002\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u53ef\u4ee5\u63d0\u9ad8\u7b97\u6cd5\u7684\u6548\u7387\u3002<\/p>\n<\/p>\n<p><h4>\u6027\u80fd\u6bd4\u8f83<\/h4>\n<\/p>\n<ol>\n<li><strong>\u8bd5\u9664\u6cd5<\/strong>\uff1a\u9002\u7528\u4e8e\u8f83\u5c0f\u8303\u56f4\u7684\u7d20\u6570\u67e5\u627e\uff0c\u7b97\u6cd5\u7b80\u5355\uff0c\u4f46\u6548\u7387\u8f83\u4f4e\u3002<\/li>\n<li><strong>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5<\/strong>\uff1a\u9002\u7528\u4e8e\u4e2d\u7b49\u8303\u56f4\u7684\u7d20\u6570\u67e5\u627e\uff0c\u7b97\u6cd5\u6548\u7387\u8f83\u9ad8\uff0c\u4f46\u5185\u5b58\u5360\u7528\u8f83\u5927\u3002<\/li>\n<li><strong>\u5206\u6bb5\u7b5b\u6cd5<\/strong>\uff1a\u9002\u7528\u4e8e\u5927\u8303\u56f4\u7684\u7d20\u6570\u67e5\u627e\uff0c\u901a\u8fc7\u5206\u6bb5\u5904\u7406\u4f18\u5316\u5185\u5b58\u4f7f\u7528\uff0c\u6548\u7387\u8f83\u9ad8\u3002<\/li>\n<\/ol>\n<p><h4>\u4f18\u5316\u5efa\u8bae<\/h4>\n<\/p>\n<ol>\n<li><strong>\u8bd5\u9664\u6cd5<\/strong>\uff1a\u5728\u5224\u65ad\u8fc7\u7a0b\u4e2d\uff0c\u53ef\u4ee5\u53ea\u8003\u8651\u5230\u5e73\u65b9\u6839\uff0c\u5e76\u4e14\u53ea\u8003\u8651\u5947\u6570\u3002<\/li>\n<li><strong>\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5<\/strong>\uff1a\u53ef\u4ee5\u4f18\u5316\u521d\u59cb\u6807\u8bb0\u8fc7\u7a0b\uff0c\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u904d\u5386\u3002<\/li>\n<li><strong>\u5206\u6bb5\u7b5b\u6cd5<\/strong>\uff1a\u901a\u8fc7\u5408\u7406\u9009\u62e9\u5206\u6bb5\u5927\u5c0f\uff0c\u53ef\u4ee5\u8fdb\u4e00\u6b65\u4f18\u5316\u5185\u5b58\u4f7f\u7528\u548c\u8ba1\u7b97\u6548\u7387\u3002<\/li>\n<\/ol>\n<p><h3>\u4e94\u3001\u5b9e\u9645\u5e94\u7528\u573a\u666f<\/h3>\n<\/p>\n<p><p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u627e\u51fa\u6240\u6709\u7d20\u6570\u7684\u9700\u6c42\u5e7f\u6cdb\u5b58\u5728\u4e8e\u5bc6\u7801\u5b66\u3001\u6570\u8bba\u7814\u7a76\u3001\u8ba1\u7b97\u673a\u7b97\u6cd5\u7b49\u9886\u57df\u3002<\/p>\n<\/p>\n<p><h4>\u5bc6\u7801\u5b66\u5e94\u7528<\/h4>\n<\/p>\n<p><p>\u5728\u5bc6\u7801\u5b66\u4e2d\uff0c\u7d20\u6570\u5e7f\u6cdb\u5e94\u7528\u4e8e\u516c\u94a5\u52a0\u5bc6\u7b97\u6cd5\uff08\u5982RSA\u7b97\u6cd5\uff09\uff0c\u7d20\u6570\u7684\u9009\u53d6\u76f4\u63a5\u5f71\u54cd\u5230\u52a0\u5bc6\u7b97\u6cd5\u7684\u5b89\u5168\u6027\u548c\u6548\u7387\u3002\u901a\u8fc7\u9ad8\u6548\u7684\u7d20\u6570\u67e5\u627e\u7b97\u6cd5\uff0c\u53ef\u4ee5\u5feb\u901f\u751f\u6210\u6240\u9700\u7684\u7d20\u6570\u3002<\/p>\n<\/p>\n<p><h4>\u6570\u8bba\u7814\u7a76<\/h4>\n<\/p>\n<p><p>\u5728\u6570\u8bba\u7814\u7a76\u4e2d\uff0c\u7d20\u6570\u662f\u8bb8\u591a\u6570\u5b66\u5b9a\u7406\u548c\u731c\u60f3\u7684\u57fa\u7840\u3002\u9ad8\u6548\u7684\u7d20\u6570\u67e5\u627e\u7b97\u6cd5\u53ef\u4ee5\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u9a8c\u8bc1\u548c\u63a2\u7d22\u65b0\u7684\u6570\u5b66\u7406\u8bba\u3002<\/p>\n<\/p>\n<p><h4>\u8ba1\u7b97\u673a\u7b97\u6cd5<\/h4>\n<\/p>\n<p><p>\u5728\u8ba1\u7b97\u673a\u7b97\u6cd5\u4e2d\uff0c\u7d20\u6570\u67e5\u627e\u5e38\u7528\u4e8e\u4f18\u5316\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u8bbe\u8ba1\u3002\u4f8b\u5982\uff0c\u54c8\u5e0c\u8868\u7684\u5927\u5c0f\u901a\u5e38\u9009\u53d6\u4e3a\u7d20\u6570\uff0c\u4ee5\u51cf\u5c11\u51b2\u7a81\u6982\u7387\uff0c\u63d0\u9ad8\u67e5\u8be2\u6548\u7387\u3002<\/p>\n<\/p>\n<p><h3>\u516d\u3001\u603b\u7ed3\u4e0e\u5c55\u671b<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u672c\u6587\u7684\u5b66\u4e60\uff0c\u6211\u4eec\u4e86\u89e3\u4e86<strong>Python\u627e\u51fa\u6240\u6709\u7684\u7d20\u6570<\/strong>\u7684\u51e0\u79cd\u5e38\u7528\u65b9\u6cd5\uff0c\u5305\u62ec\u8bd5\u9664\u6cd5\u3001\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u548c\u5206\u6bb5\u7b5b\u6cd5\u3002\u6bcf\u79cd\u65b9\u6cd5\u5404\u6709\u4f18\u7f3a\u70b9\uff0c\u9002\u7528\u4e8e\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u3002\u638c\u63e1\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u9ad8\u6548\u5730\u627e\u51fa\u7d20\u6570\uff0c\u63d0\u9ad8\u7b97\u6cd5\u6548\u7387\u548c\u5e94\u7528\u6548\u679c\u3002<\/p>\n<\/p>\n<p><p>\u672a\u6765\uff0c\u968f\u7740\u8ba1\u7b97\u673a\u786c\u4ef6\u548c\u7b97\u6cd5\u7814\u7a76\u7684\u4e0d\u65ad\u53d1\u5c55\uff0c\u7d20\u6570\u67e5\u627e\u65b9\u6cd5\u53ef\u80fd\u4f1a\u8fdb\u4e00\u6b65\u4f18\u5316\u548c\u521b\u65b0\u3002\u7814\u7a76\u8005\u4eec\u53ef\u4ee5\u7ed3\u5408\u5927\u6570\u636e\u3001\u5e76\u884c\u8ba1\u7b97\u7b49\u6280\u672f\uff0c\u63a2\u7d22\u66f4\u9ad8\u6548\u7684\u7d20\u6570\u67e5\u627e\u7b97\u6cd5\uff0c\u4e3a\u6570\u5b66\u7814\u7a76\u548c\u5b9e\u9645\u5e94\u7528\u63d0\u4f9b\u66f4\u5f3a\u5927\u7684\u5de5\u5177\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u6709\u6548\u5730\u627e\u51fa\u7d20\u6570\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u591a\u79cd\u65b9\u6cd5\u627e\u51fa\u7d20\u6570\u3002\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u201c\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u201d\uff0c\u8fd9\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u7b97\u6cd5\uff0c\u53ef\u4ee5\u5feb\u901f\u627e\u51fa\u4e00\u5b9a\u8303\u56f4\u5185\u7684\u6240\u6709\u7d20\u6570\u3002\u901a\u8fc7\u521b\u5efa\u4e00\u4e2a\u5e03\u5c14\u6570\u7ec4\uff0c\u6807\u8bb0\u6bcf\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\uff0c\u4f60\u53ef\u4ee5\u5728O(n log log n)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5185\u5b8c\u6210\u7d20\u6570\u7684\u7b5b\u9009\u3002<\/p>\n<p><strong>\u5728Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u5e2e\u52a9\u627e\u51fa\u7d20\u6570\uff1f<\/strong><br \/>Python\u7684<code>sympy<\/code>\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u5de5\u5177\uff0c\u5176\u4e2d\u5305\u62ec\u51fd\u6570\u6765\u751f\u6210\u7d20\u6570\u548c\u68c0\u67e5\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u3002\u4f8b\u5982\uff0c<code>sympy.primerange(start, end)<\/code>\u53ef\u4ee5\u751f\u6210\u6307\u5b9a\u8303\u56f4\u5185\u7684\u6240\u6709\u7d20\u6570\uff0c\u800c<code>sympy.isprime(n)<\/code>\u53ef\u4ee5\u68c0\u67e5\u67d0\u4e2a\u5177\u4f53\u6570\u5b57\u662f\u5426\u4e3a\u7d20\u6570\u3002<\/p>\n<p><strong>\u5bf9\u4e8e\u521d\u5b66\u8005\uff0c\u5982\u4f55\u7528\u7b80\u5355\u7684\u4ee3\u7801\u627e\u51fa\u5c0f\u8303\u56f4\u5185\u7684\u7d20\u6570\uff1f<\/strong><br \/>\u521d\u5b66\u8005\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u7684\u5faa\u73af\u548c\u6761\u4ef6\u5224\u65ad\u6765\u627e\u51fa\u5c0f\u8303\u56f4\u5185\u7684\u7d20\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<pre><code class=\"language-python\">def is_prime(num):\n    if num &lt; 2:\n        return False\n    for i in range(2, int(num**0.5) + 1):\n        if num % i == 0:\n            return False\n    return True\n\nprimes = [n for n in range(2, 100) if is_prime(n)]\nprint(primes)\n<\/code><\/pre>\n<p>\u4e0a\u8ff0\u4ee3\u7801\u901a\u8fc7\u5b9a\u4e49\u4e00\u4e2a\u51fd\u6570\u6765\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\uff0c\u5e76\u5229\u7528\u5217\u8868\u63a8\u5bfc\u5f0f\u751f\u62102\u5230100\u4e4b\u95f4\u7684\u6240\u6709\u7d20\u6570\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u627e\u51fa\u6240\u6709\u7684\u7d20\u6570\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u3001\u8bd5\u9664\u6cd5\u3001\u5206\u6bb5\u7b5b\u6cd5\u3002 \u5176\u4e2d\uff0c\u57c3\u62c9\u6258\u65af\u7279\u5c3c\u7b5b\u6cd5\u662f\u6700\u5e38\u7528\u4e14\u9ad8 [&hellip;]","protected":false},"author":3,"featured_media":1160121,"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\/1160115"}],"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=1160115"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1160115\/revisions"}],"predecessor-version":[{"id":1160123,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1160115\/revisions\/1160123"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1160121"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1160115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1160115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1160115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}