{"id":950099,"date":"2024-12-27T00:25:13","date_gmt":"2024-12-26T16:25:13","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/950099.html"},"modified":"2024-12-27T00:25:15","modified_gmt":"2024-12-26T16:25:15","slug":"python-%e5%a6%82%e4%bd%95%e5%88%a4%e6%96%ad%e7%b4%a0%e6%95%b0","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/950099.html","title":{"rendered":"python \u5982\u4f55\u5224\u65ad\u7d20\u6570"},"content":{"rendered":"

\"python<\/p>\n

Python\u5224\u65ad\u7d20\u6570\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a\u4f7f\u7528\u5faa\u73af\u68c0\u67e5\u3001\u4f7f\u7528\u6570\u5b66\u516c\u5f0f\u4f18\u5316\u3001\u5229\u7528\u5e93\u51fd\u6570\u3002<\/strong>\u5176\u4e2d\uff0c\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u5faa\u73af\u68c0\u67e5\u4e00\u4e2a\u6570\u662f\u5426\u53ea\u67091\u548c\u5b83\u672c\u8eab\u4e24\u4e2a\u56e0\u6570\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u63a2\u8ba8\u6bcf\u79cd\u65b9\u6cd5\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528\u5faa\u73af\u68c0\u67e5<\/p>\n<\/p>\n

\u5faa\u73af\u68c0\u67e5\u662f\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u7684\u6700\u57fa\u672c\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u5bf9\u4e00\u4e2a\u5927\u4e8e1\u7684\u6574\u6570n\uff0c\u4ece2\u5f00\u59cb\u68c0\u67e5\u5230n-1\uff0c\u770b\u662f\u5426\u6709\u6570\u53ef\u4ee5\u6574\u9664n\u3002\u5982\u679c\u6ca1\u6709\u627e\u5230\u4efb\u4f55\u4e00\u4e2a\u6570\u80fd\u6574\u9664n\uff0c\u90a3\u4e48n\u5c31\u662f\u7d20\u6570\u3002<\/p>\n<\/p>\n

def is_prime(n):<\/p>\n
    if n <= 1:<\/p>\n
        return False<\/p>\n
    for i in range(2, n):<\/p>\n
        if n % i == 0:<\/p>\n
            return False<\/p>\n
    return True<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8be5\u51fd\u6570\u4e2d\uff0c\u9996\u5148\u6392\u9664\u5c0f\u4e8e\u7b49\u4e8e1\u7684\u6570\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e0d\u662f\u7d20\u6570\u3002\u63a5\u7740\uff0c\u4ece2\u5f00\u59cb\u68c0\u67e5\u76f4\u5230n-1\u3002\u5982\u679c\u627e\u5230\u4e00\u4e2a\u80fd\u6574\u9664n\u7684\u6570\uff0c\u5219n\u4e0d\u662f\u7d20\u6570\uff1b\u5982\u679c\u6ca1\u6709\u627e\u5230\uff0c\u5219n\u662f\u7d20\u6570\u3002<\/p>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528\u6570\u5b66\u516c\u5f0f\u4f18\u5316<\/p>\n<\/p>\n
\u4e3a\u4e86\u63d0\u9ad8\u6548\u7387\uff0c\u53ef\u4ee5\u5bf9\u4e0a\u8ff0\u65b9\u6cd5\u8fdb\u884c\u4f18\u5316\u3002\u4e00\u4e2a\u4f18\u5316\u601d\u8def\u662f\uff1a\u53ea\u9700\u68c0\u67e5\u5230n\u7684\u5e73\u65b9\u6839\u5373\u53ef<\/strong>\u3002\u56e0\u4e3a\u5982\u679cn\u53ef\u4ee5\u5206\u89e3\u6210\u4e24\u4e2a\u56e0\u6570a\u548cb\uff08\u5373n = a * b\uff09\uff0c\u90a3\u4e48\u81f3\u5c11\u6709\u4e00\u4e2a\u56e0\u6570a\u6216b\u5c0f\u4e8e\u7b49\u4e8en\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<\/p>\n
import math<\/p>\n
def is_prime_optimized(n):<\/p>\n
    if n <= 1:<\/p>\n
        return False<\/p>\n
    if n <= 3:<\/p>\n
        return True<\/p>\n
    if n % 2 == 0 or n % 3 == 0:<\/p>\n
        return False<\/p>\n
    i = 5<\/p>\n
    while i * i <= n:<\/p>\n
        if n % i == 0 or n % (i + 2) == 0:<\/p>\n
            return False<\/p>\n
        i += 6<\/p>\n
    return True<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u4f18\u5316\u7684\u7248\u672c\u4e2d\uff0c\u9996\u5148\u6392\u9664\u5c0f\u4e8e\u7b49\u4e8e3\u7684\u6570\uff08\u56e0\u4e3a2\u548c3\u90fd\u662f\u7d20\u6570\uff09\uff0c\u7136\u540e\u6392\u9664\u6240\u6709\u80fd\u88ab2\u62163\u6574\u9664\u7684\u6570\u3002\u63a5\u7740\uff0c\u4ece5\u5f00\u59cb\u8fed\u4ee3\uff0c\u5e76\u53ea\u68c0\u67e56\u7684\u500d\u6570\u9644\u8fd1\u7684\u6570\uff08\u56e0\u4e3a\u6240\u6709\u7d20\u6570\u5927\u4e8e3\u7684\u6570\u90fd\u53ef\u4ee5\u8868\u793a\u4e3a6k\u00b11\u7684\u5f62\u5f0f\uff09\u3002<\/p>\n<\/p>\n
\u4e09\u3001\u5229\u7528\u5e93\u51fd\u6570<\/p>\n<\/p>\n
\u5728Python\u4e2d\uff0c\u6709\u4e00\u4e9b\u5e93\u53ef\u4ee5\u5e2e\u52a9\u5224\u65ad\u7d20\u6570\uff0c\u6bd4\u5982sympy<\/code>\u5e93\u3002sympy<\/code>\u662f\u4e00\u4e2aPython\u7684\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e00\u4e2a\u51fd\u6570isprime()<\/code>\uff0c\u7528\u4e8e\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u3002<\/p>\n<\/p>\n
from sympy import isprime<\/p>\n
def check_prime(n):<\/p>\n
    return isprime(n)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4f7f\u7528\u5e93\u51fd\u6570\u662f\u5224\u65ad\u7d20\u6570\u7684\u6700\u5feb\u65b9\u6cd5\u4e4b\u4e00\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u51fd\u6570\u901a\u5e38\u7ecf\u8fc7\u9ad8\u5ea6\u4f18\u5316\uff0c\u4f7f\u7528\u4e86\u590d\u6742\u7684\u6570\u5b66\u7b97\u6cd5\u6765\u63d0\u9ad8\u6027\u80fd\u3002<\/p>\n<\/p>\n
\u56db\u3001\u5e94\u7528\u573a\u666f\u4e0e\u6ce8\u610f\u4e8b\u9879<\/p>\n<\/p>\n
\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u5e38\u7528\u4e8e\u52a0\u5bc6\u7b97\u6cd5\u3001\u6570\u8bba\u7814\u7a76\u7b49\u9886\u57df\u3002\u5728\u5904\u7406\u975e\u5e38\u5927\u7684\u6570\u65f6\uff0c\u901a\u5e38\u9700\u8981\u4f7f\u7528\u66f4\u590d\u6742\u7684\u7b97\u6cd5\uff0c\u5982AKS\u7d20\u6570\u6d4b\u8bd5\u6216\u7c73\u52d2-\u62c9\u5bbe\u7d20\u6570\u6d4b\u8bd5\u3002<\/p>\n<\/p>\n
\u5728\u9009\u62e9\u5224\u65ad\u7d20\u6570\u7684\u65b9\u6cd5\u65f6\uff0c\u5e94\u6839\u636e\u5177\u4f53\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u7b97\u6cd5\u3002\u5982\u679c\u53ea\u9700\u8981\u5224\u65ad\u8f83\u5c0f\u8303\u56f4\u5185\u7684\u6570\uff0c\u53ef\u4ee5\u4f7f\u7528\u7b80\u5355\u7684\u5faa\u73af\u68c0\u67e5\uff1b\u5982\u679c\u9700\u8981\u5904\u7406\u5927\u6570\uff0c\u5efa\u8bae\u4f7f\u7528\u4f18\u5316\u7684\u6570\u5b66\u65b9\u6cd5\u6216\u5e93\u51fd\u6570\u3002<\/p>\n<\/p>\n
\u4e94\u3001\u6027\u80fd\u6bd4\u8f83<\/p>\n<\/p>\n
\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6027\u80fd\u662f\u9009\u62e9\u7b97\u6cd5\u7684\u91cd\u8981\u56e0\u7d20\u4e4b\u4e00\u3002\u7b80\u5355\u7684\u5faa\u73af\u68c0\u67e5\u65b9\u6cd5\u9002\u5408\u5c0f\u8303\u56f4\u7684\u6570\uff0c\u4f46\u5f53\u6570\u503c\u8f83\u5927\u65f6\uff0c\u6548\u7387\u4f1a\u5927\u5e45\u4e0b\u964d\u3002\u4f18\u5316\u7684\u6570\u5b66\u516c\u5f0f\u65b9\u6cd5\u548c\u4f7f\u7528\u5e93\u51fd\u6570\u7684\u65b9\u6cd5\u5728\u5904\u7406\u5927\u6570\u65f6\u8868\u73b0\u66f4\u4f18\u3002<\/p>\n<\/p>\n
\u901a\u8fc7\u7ed3\u5408\u4e0a\u8ff0\u65b9\u6cd5\u548c\u6280\u5de7\uff0c\u60a8\u53ef\u4ee5\u6709\u6548\u5730\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\uff0c\u5e76\u5728\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u4e2d\u9009\u62e9\u5408\u9002\u7684\u7b97\u6cd5\u6765\u63d0\u9ad8\u6548\u7387\u548c\u6027\u80fd\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
 \u5982\u4f55\u5728Python\u4e2d\u9ad8\u6548\u5730\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\uff1f<\/strong>
\u5224\u65ad\u4e00\u4e2a\u6570\u662f\u5426\u4e3a\u7d20\u6570\u7684\u9ad8\u6548\u65b9\u6cd5\u662f\u4f7f\u7528\u8bd5\u9664\u6cd5\uff0c\u7279\u522b\u662f\u53ea\u9700\u8981\u68c0\u67e5\u5230\u8be5\u6570\u7684\u5e73\u65b9\u6839\u3002\u5177\u4f53\u6b65\u9aa4\u5305\u62ec\uff1a\u5982\u679c\u8be5\u6570\u5c0f\u4e8e2\uff0c\u76f4\u63a5\u8fd4\u56defalse\uff1b\u63a5\u7740\u68c0\u67e52\u5230\u8be5\u6570\u5e73\u65b9\u6839\u4e4b\u95f4\u7684\u6240\u6709\u6574\u6570\uff0c\u770b\u770b\u662f\u5426\u6709\u80fd\u591f\u6574\u9664\u8be5\u6570\u7684\u3002\u5982\u679c\u6709\uff0c\u5219\u8be5\u6570\u4e0d\u662f\u7d20\u6570\uff1b\u5982\u679c\u6ca1\u6709\uff0c\u5219\u8be5\u6570\u662f\u7d20\u6570\u3002<\/p>\n
Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u5e2e\u52a9\u5224\u65ad\u7d20\u6570\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528sympy<\/code>\u5e93\u6765\u5224\u65ad\u7d20\u6570\u3002sympy<\/code>\u5e93\u63d0\u4f9b\u4e86\u4e00\u4e2aisprime<\/code>\u51fd\u6570\uff0c\u4f7f\u7528\u975e\u5e38\u7b80\u5355\uff0c\u53ea\u9700\u4f20\u5165\u4e00\u4e2a\u6570\u5b57\u5373\u53ef\u5224\u65ad\u5176\u662f\u5426\u4e3a\u7d20\u6570\u3002\u8fd9\u79cd\u65b9\u5f0f\u4e0d\u4ec5\u7b80\u4fbf\uff0c\u800c\u4e14\u5728\u5904\u7406\u5927\u6570\u65f6\u4e5f\u975e\u5e38\u9ad8\u6548\u3002<\/p>\n
\u5224\u65ad\u5927\u6570\u662f\u5426\u4e3a\u7d20\u6570\u65f6\u6709\u54ea\u4e9b\u6ce8\u610f\u4e8b\u9879\uff1f<\/strong>
\u5728\u5224\u65ad\u5927\u6570\u662f\u5426\u4e3a\u7d20\u6570\u65f6\uff0c\u5efa\u8bae\u4f7f\u7528\u66f4\u9ad8\u6548\u7684\u7b97\u6cd5\uff0c\u6bd4\u5982Miller-Rabin\u7d20\u6027\u6d4b\u8bd5\u3002\u8fd9\u662f\u4e00\u79cd\u6982\u7387\u7b97\u6cd5\uff0c\u9002\u5408\u5904\u7406\u5927\u6570\uff0c\u53ef\u4ee5\u5728\u5408\u7406\u7684\u65f6\u95f4\u5185\u7ed9\u51fa\u5224\u65ad\u7ed3\u679c\u3002\u4f7f\u7528\u8fd9\u79cd\u65b9\u6cd5\u65f6\uff0c\u867d\u7136\u5b58\u5728\u4e00\u5b9a\u7684\u9519\u8bef\u6982\u7387\uff0c\u4f46\u901a\u8fc7\u591a\u6b21\u6d4b\u8bd5\u53ef\u4ee5\u5c06\u9519\u8bef\u6982\u7387\u964d\u81f3\u6781\u4f4e\u6c34\u5e73\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u5224\u65ad\u7d20\u6570\u7684\u65b9\u6cd5\u4e3b\u8981\u6709\u4ee5\u4e0b\u51e0\u79cd\uff1a\u4f7f\u7528\u5faa\u73af\u68c0\u67e5\u3001\u4f7f\u7528\u6570\u5b66\u516c\u5f0f\u4f18\u5316\u3001\u5229\u7528\u5e93\u51fd\u6570\u3002\u5176\u4e2d\uff0c\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\u662f\u4f7f\u7528 […]","protected":false},"author":3,"featured_media":950101,"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\/950099"}],"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=950099"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/950099\/revisions"}],"predecessor-version":[{"id":950102,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/950099\/revisions\/950102"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/950101"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=950099"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=950099"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=950099"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}