{"id":32109,"date":"2023-08-28T13:58:40","date_gmt":"2023-08-28T09:28:40","guid":{"rendered":"https:\/\/wpadmin.maktabkhooneh.org\/mag\/?p=32109"},"modified":"2026-02-17T18:06:05","modified_gmt":"2026-02-17T14:36:05","slug":"calculating-prime-numbers-with-python","status":"publish","type":"post","link":"https:\/\/maktabkhooneh.org\/mag\/calculating-prime-numbers-with-python\/","title":{"rendered":"\u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u062c\u0627\u0645\u0639 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646"},"content":{"rendered":"\n<p>\u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06cc\u06a9 \u0645\u0641\u0647\u0648\u0645 \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0647\u0633\u062a\u0646\u062f \u0648 \u062c\u0627\u06cc\u06af\u0627\u0647 \u0648\u06cc\u0698\u0647\u200c\u0627\u06cc \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u0646\u0638\u0631\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u062f\u0627\u0631\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647\u060c \u0645\u0627 \u0628\u0647 \u0646\u062d\u0648\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u062f\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u0631 \u0631\u0648\u06cc\u06a9\u0631\u062f\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u06cc\u0645. \u0634\u0645\u0627 \u0686\u0647 \u06cc\u06a9 \u0641\u0631\u062f \u0645\u0628\u062a\u062f\u06cc \u0628\u0627\u0634\u06cc\u062f \u0648 \u0686\u0647 \u06cc\u06a9 \u06a9\u062f\u0646\u0648\u06cc\u0633 \u0628\u0627\u062a\u062c\u0631\u0628\u0647\u060c \u062f\u0631\u06a9 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0632 \u062f\u06cc\u062f\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062f\u0627\u0646\u0634 \u0634\u0645\u0627 \u0631\u0627 \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0645\u0646\u062d\u0635\u0631\u0628\u0647\u200c\u0641\u0631\u062f \u0639\u0645\u06cc\u0642\u200c\u062a\u0631 \u06a9\u0646\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0627\u0646\u0648\u0627\u0639 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0645\u0648\u0631\u062f \u0628\u0631\u0631\u0633\u06cc \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645. \u0628\u0631\u0627\u06cc \u06a9\u0633\u0628 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 \u062a\u0627 \u067e\u0627\u06cc\u0627\u0646 \u0627\u06cc\u0646 \u0646\u0648\u0634\u062a\u0647 \u0627\u0632 \u062f\u0633\u062a\u0647 <a href=\"https:\/\/maktabkhooneh.org\/learn\/python\/\">\u0622\u0645\u0648\u0632\u0634 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0628\u0627 \u0645\u0627 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627\u0634\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644<\/h2>\n\n\n\n<p>\u0642\u0628\u0644 \u0627\u0632 \u0627\u06cc\u0646\u06a9\u0647 \u0648\u0627\u0631\u062f \u0628\u062e\u0634 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0634\u0648\u06cc\u0645\u060c \u062f\u0631\u06a9 \u0627\u0635\u0648\u0644 \u0627\u0648\u0644\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a. \u0639\u062f\u062f \u0627\u0648\u0644 \u06cc\u06a9 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0627\u0632 \u06f1 \u0628\u0648\u062f\u0647 \u06a9\u0647 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 \u062f\u06cc\u06af\u0631\u06cc \u062c\u0632 \u06f1 \u0648 \u062e\u0648\u062f\u0634 \u0646\u062f\u0627\u0631\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u06f2\u060c \u06f3\u060c \u06f5 \u0648 \u06f7 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0647\u0633\u062a\u0646\u062f. \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u062a\u0639\u0631\u06cc\u0641 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a. \u0627\u0628\u062a\u062f\u0627 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0628\u0627 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u0627\u062f\u0647 \u0645\u0648\u0631\u062f \u0628\u0631\u0631\u0633\u06cc \u0642\u0631\u0627\u0631 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u062f \u06a9\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def is_prime(number):\n    if number <\/code><\/pre>\n\n\n\n<p>\u062e\u0648\u0631\u062c\u06cc \u06a9\u062f \u0641\u0648\u0642 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" width=\"688\" height=\"198\" src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828124054.png\" alt=\"\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644\" class=\"wp-image-32114\" title=\"\" srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828124054.png 688w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/Snapshot_230828124054-300x86.png.webp 300w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/><figcaption><\/figcaption><\/figure>\n\n\n\n<p>\u06a9\u062f \u0641\u0648\u0642 \u0639\u062f\u062f\u06cc \u0627\u0632 \u06a9\u0627\u0631\u0628\u0631 \u06af\u0631\u0641\u062a\u0647 \u0648 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u0627\u06cc\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a \u06cc\u0627 \u062e\u06cc\u0631.<\/p>\n\n\n<div class=\"jet-listing-grid--50192\" style=\"\"><style><\/style><section class=\"zht-related-post\" itemscope=\"\" itemtype=\"https:\/\/schema.org\/Article\" role=\"region\"\n  aria-label=\"Related article\">\n  <div class=\"zht-related-post-section-label\">\n    \u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637\n  <\/div>\n  <img decoding=\"async\" width=\"300\" height=\"171\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-300x171.jpeg\" class=\"attachment-medium size-medium wp-post-image lazyload\" alt=\"\u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-300x171.jpeg 300w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-768x439.jpeg.webp 768w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y.jpeg 896w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/171;\">\n  <a href=\"https:\/\/maktabkhooneh.org\/mag\/python-recursive-functions\/\" class=\"zht-related-post-title\"\n    itemprop=\"headline\" target=\"_blank\">\u0647\u0645\u0647 \u0686\u06cc\u0632 \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646<\/a>\n<\/section><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0627 \u0631\u0648\u06cc\u06a9\u0631\u062f Brute Force<\/h3>\n\n\n\n<p>\u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 brute force \u0627\u0633\u062a. \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0631\u0627 \u0628\u0627 \u0628\u0631\u0631\u0633\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0639\u062f\u062f n \u0628\u0631 \u0647\u0631 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u0628\u06cc\u0646 \u06f2 \u0648 \u062c\u0630\u0631 n \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0627\u0633\u062a \u06cc\u0627 \u062e\u06cc\u0631\u060c \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645. \u0627\u06af\u0631 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 \u067e\u06cc\u062f\u0627 \u0646\u0634\u062f\u060c \u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f\u060c \u0627\u06af\u0631\u0686\u0647 \u0633\u0627\u062f\u0647 \u0628\u0648\u062f\u0647\u060c \u0627\u0645\u0627 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc\u060c \u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0646\u0627\u06a9\u0627\u0631\u0622\u0645\u062f \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u0646\u062d\u0648\u0647 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0631\u0648\u0634 brute force \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def is_prime_brute_force(n):\n    if n <\/code><\/pre>\n\n\n\n<p>\u062e\u0631\u0648\u062c\u06cc \u06a9\u062f \u0628\u0627\u0644\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" width=\"702\" height=\"259\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123223.png\" alt=\"\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0627 \u0631\u0648\u06cc\u06a9\u0631\u062f Brute Force\" class=\"wp-image-32111 lazyload\" title=\"\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123223.png 702w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/Snapshot_230828123223-300x111.png.webp 300w\" data-sizes=\"(max-width: 702px) 100vw, 702px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 702px; --smush-placeholder-aspect-ratio: 702\/259;\" \/><figcaption><\/figcaption><\/figure>\n\n\n\n<p>\u062f\u0631 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0627\u0644\u0627\u060c \u062a\u0627\u0628\u0639 \u00abis_prime_brute_force\u00bb \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0646\u0648\u0639\u06cc \u062a\u0627\u0628\u0639 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 \u0622\u0632\u0645\u0627\u06cc\u0634 \u0642\u0627\u0628\u0644\u06cc\u062a \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u06cc \u0622\u0646 \u0628\u0627 \u0647\u0645\u0647 \u0627\u0639\u062f\u0627\u062f \u0628\u06cc\u0646 \u06f2 \u0648 \u00abn &#8211; 1\u00bb\u060c \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f \u00abn\u00bb \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062a\u0627\u0628\u0639 generate_primes_brute_force \u0641\u0647\u0631\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u06cc\u06a9\u0631\u062f brute force \u062a\u0627 \u0633\u0642\u0641 \u0645\u0634\u062e\u0635\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0644\u0637\u0641\u0627\u064b \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u0631\u0648\u0634 brute force \u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc O(n) \u06a9\u0627\u0631\u0622\u0645\u062f \u0646\u06cc\u0633\u062a \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0641\u0631\u0627\u062a\u0631 \u0627\u0632 \u06cc\u06a9 \u0645\u062d\u062f\u0648\u062f\u0647 \u062e\u0627\u0635 \u063a\u06cc\u0631\u0639\u0645\u0644\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0631\u0648\u0634 \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u062f\u062f \u0627\u0648\u0644<\/h3>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0624\u062b\u0631 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062a\u0627 \u062d\u062f \u0645\u0639\u06cc\u0646\u060c \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646 \u0631\u0648\u0634\u06cc \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06cc\u0648\u0646\u0627\u0646 \u0628\u0627\u0633\u062a\u0627\u0646 \u0647\u0645\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0645\u062d\u062f\u0648\u062f\u0647 \u0645\u0634\u062e\u0635 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <a href=\"https:\/\/maktabkhooneh.org\/mag\/list-in-python\/\">\u0644\u06cc\u0633\u062a\u200c\u0647\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645. \u0628\u0627 \u0639\u0644\u0627\u0645\u062a\u200c\u06af\u0630\u0627\u0631\u06cc \u0645\u06a9\u0631\u0631 \u0645\u0636\u0631\u0628 \u0647\u0631 \u0639\u062f\u062f \u0627\u0648\u0644\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0639\u062f\u0627\u062f \u063a\u06cc\u0631 \u0627\u0648\u0644 \u0631\u0627 \u063a\u0631\u0628\u0627\u0644 \u06a9\u0631\u062f\u0647 \u0648 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u062f\u0631 \u0645\u062d\u062f\u0648\u062f\u0647 \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u0645. \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0627 \u0631\u0648\u0634 Sieve of Eratosthenes \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def sieve_of_eratosthenes(limit):\n    primes = &#91;True] * (limit + 1)\n    primes&#91;0] = primes&#91;1] = False\n\n    for num in range(2, int(limit ** 0.5) + 1):\n        if primes&#91;num]:\n            for multiple in range(num * num, limit + 1, num):\n                primes&#91;multiple] = False\n\n    prime_list = &#91;num for num, is_prime in enumerate(primes) if is_prime]\n    return prime_list\n\nlimit = int(input(\"Enter a limit to generate prime numbers up to: \"))\nprime_list = sieve_of_eratosthenes(limit)\nprint(\"Prime numbers up to\", limit, \"are:\", prime_list)<\/code><\/pre>\n\n\n\n<p>\u062e\u0631\u0648\u062c\u06cc \u06a9\u062f \u0628\u0627\u0644\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" width=\"694\" height=\"195\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123428.png\" alt=\"\u0628\u0631\u0631\u0633\u06cc \u0627\u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\" class=\"wp-image-32112 lazyload\" title=\"\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123428.png 694w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/Snapshot_230828123428-300x84.png.webp 300w\" data-sizes=\"(max-width: 694px) 100vw, 694px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 694px; --smush-placeholder-aspect-ratio: 694\/195;\" \/><figcaption><\/figcaption><\/figure>\n\n\n\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644\u060c \u062a\u0627\u0628\u0639 \u00abSeve_of_eratosthenes\u00bb \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 Sieve of Eratosthenes \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0641\u0647\u0631\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062a\u0627 \u0633\u0642\u0641 \u0645\u0634\u062e\u0635 \u0634\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0627 \u0639\u0644\u0627\u0645\u062a\u200c\u06af\u0630\u0627\u0631\u06cc \u0645\u06a9\u0631\u0631 \u0645\u0636\u0631\u0628 \u0647\u0631 \u0639\u062f\u062f \u0627\u0648\u0644 \u06a9\u0647 \u0627\u0632 \u06f2 \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u06a9\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u067e\u0633 \u0627\u0632 \u062a\u06a9\u0645\u06cc\u0644 \u0641\u0631\u0622\u06cc\u0646\u062f\u060c \u0627\u0639\u062f\u0627\u062f \u0628\u062f\u0648\u0646 \u0639\u0644\u0627\u0645\u062a \u0628\u0627\u0642\u06cc \u0645\u0627\u0646\u062f\u0647 \u0627\u0648\u0644 \u0647\u0633\u062a\u0646\u062f. \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646 \u0628\u0647 \u0637\u0648\u0631 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631 \u0627\u0632 \u0631\u0648\u0634 brute force \u0627\u0633\u062a\u060c \u0628\u0627 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062a\u0642\u0631\u06cc\u0628\u0627\u064b O (n log log n). \u0627\u06cc\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u0645\u062d\u062f\u0648\u062f\u0647\u200c\u0647\u0627\u06cc \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0645\u0646\u0627\u0633\u0628 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n<div class=\"jet-listing-grid--50192\" style=\"\"><section class=\"zht-related-post\" itemscope=\"\" itemtype=\"https:\/\/schema.org\/Article\" role=\"region\"\n  aria-label=\"Related article\">\n  <div class=\"zht-related-post-section-label\">\n    \u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637\n  <\/div>\n  <img decoding=\"async\" width=\"300\" height=\"171\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-300x171.jpeg\" class=\"attachment-medium size-medium wp-post-image lazyload\" alt=\"\u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-300x171.jpeg 300w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-768x439.jpeg.webp 768w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y.jpeg 896w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/171;\">\n  <a href=\"https:\/\/maktabkhooneh.org\/mag\/python-recursive-functions\/\" class=\"zht-related-post-title\"\n    itemprop=\"headline\" target=\"_blank\">\u0647\u0645\u0647 \u0686\u06cc\u0632 \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646<\/a>\n<\/section><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u0645\u062d\u0633\u0627\u0628\u0647 \u0639\u062f\u062f \u0627\u0648\u0644<\/h3>\n\n\n\n<p>\u067e\u0627\u06cc\u062a\u0648\u0646 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0645\u0627\u0646\u0646\u062f SymPy \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u0633\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. SymPy \u062a\u0648\u0627\u0628\u0639\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644\u060c \u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0628\u0648\u062f\u0646\u060c\u0648 \u062d\u062a\u06cc \u0627\u0646\u062c\u0627\u0645 \u0639\u0645\u0644\u06cc\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <a href=\"https:\/\/maktabkhooneh.org\/mag\/python-libraries\/\">\u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0632\u0645\u0627\u0646 \u0635\u0631\u0641\u0647\u200c\u062c\u0648\u06cc\u06cc \u06a9\u0631\u062f\u0647 \u0648 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u062a\u0631\u06cc \u0631\u0627 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0627\u0632 \u0627\u0628\u062a\u062f\u0627 \u0627\u0631\u0627\u0626\u0647 \u062f\u0647\u062f. \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u0646\u062d\u0648\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 SymPy \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u06a9\u0647 \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from sympy import primerange\n\nlimit = int(input(\"Enter a limit to generate prime numbers up to: \"))\nprime_list = list(primerange(2, limit + 1))\nprint(\"Prime numbers up to\", limit, \"are:\", prime_list)<\/code><\/pre>\n\n\n\n<p>\u062e\u0631\u0648\u062c\u06cc \u0645\u062b\u0627\u0644 \u0628\u0627\u0644\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" width=\"692\" height=\"248\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123607.png\" alt=\"\u0645\u062d\u0633\u0627\u0628\u0647 \u0639\u062f\u062f \u0627\u0648\u0644\" class=\"wp-image-32113 lazyload\" title=\"\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/Snapshot_230828123607.png 692w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/Snapshot_230828123607-300x108.png.webp 300w\" data-sizes=\"(max-width: 692px) 100vw, 692px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 692px; --smush-placeholder-aspect-ratio: 692\/248;\" \/><figcaption><\/figcaption><\/figure>\n\n\n\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644\u060c \u0645\u0627 \u0627\u0632 \u062a\u0627\u0628\u0639 &#8220;primerange&#8221; \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 SymPy \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u062a\u0627\u0628\u0639 &#8220;primerange&#8221; \u0646\u0648\u0639\u06cc \u067e\u06cc\u0645\u0627\u06cc\u0634 \u0631\u0648\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u06cc\u06a9 \u0645\u062d\u062f\u0648\u062f\u0647 \u0645\u0634\u062e\u0635 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0633\u067e\u0633 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p>SymPy \u06cc\u06a9 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0628\u0631\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0646\u0645\u0627\u062f\u06cc\u0646 \u0627\u0633\u062a\u060c \u0627\u0632 \u062c\u0645\u0644\u0647 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0645\u0627\u0646\u0646\u062f \u0622\u0632\u0645\u0627\u06cc\u0634 \u0627\u0648\u0644\u06cc\u0647\u060c \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0648 \u063a\u06cc\u0631\u0647. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u062f\u0627\u062e\u0644\u06cc SymPy\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0627\u0631\u0622\u0645\u062f \u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0645\u0631\u062a\u0628\u0637 \u0628\u0647\u0631\u0647 \u0628\u0628\u0631\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0642\u0636\u0627\u06cc\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644<\/h2>\n\n\n\n<p>\u0628\u0627 \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0632 \u0645\u0646\u0638\u0631 \u0646\u0638\u0631\u06cc\u060c \u0642\u0636\u0627\u06cc\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644\u0631\u0627 \u062f\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u0628\u06cc\u0646\u0634\u200c\u0647\u0627\u06cc\u06cc \u0631\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0648\u0632\u06cc\u0639 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0642\u0636\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0686\u06af\u0627\u0644\u06cc \u0645\u062c\u0627\u0646\u0628\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u062f\u0631 \u0628\u06cc\u0646 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0645\u062b\u0628\u062a \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0627\u0645\u0627 \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u0642\u0636\u0627\u06cc\u0627 \u0628\u0647 \u062f\u0627\u0646\u0634 \u0631\u06cc\u0627\u0636\u06cc \u0634\u0645\u0627 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/h2>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u06a9\u0633\u0627\u0646\u06cc \u06a9\u0647 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0686\u0627\u0644\u0634 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0647\u0633\u062a\u0646\u062f\u060c \u062a\u062d\u0642\u06cc\u0642 \u062f\u0631 \u0627\u0646\u0648\u0627\u0639 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u0645\u0627\u0646\u0646\u062f \u0622\u0632\u0645\u0648\u0646 \u0627\u0648\u0644\u06cc\u0647 \u0645\u06cc\u0644\u0631-\u0631\u0627\u0628\u06cc\u0646 \u06cc\u0627 \u0622\u0632\u0645\u0648\u0646 \u0627\u0648\u0644\u06cc\u0647 AKS \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0645\u0641\u06cc\u062f \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0628\u0647 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc\u06cc \u067e\u0627\u0633\u062e \u0645\u06cc\u200c\u062f\u0647\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062f\u0642\u062a \u0648 \u0642\u0627\u0628\u0644\u06cc\u062a \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0627\u0647\u0645\u06cc\u062a \u0628\u0627\u0644\u0627\u06cc\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0627\u0633\u062a.<\/p>\n\n\n<div class=\"jet-listing-grid--50192\" style=\"\"><section class=\"zht-related-post\" itemscope=\"\" itemtype=\"https:\/\/schema.org\/Article\" role=\"region\"\n  aria-label=\"Related article\">\n  <div class=\"zht-related-post-section-label\">\n    \u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637\n  <\/div>\n  <img decoding=\"async\" width=\"300\" height=\"171\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/getimg_ai_img-eg7LoGAgP7SCCRmWssS2x_11zon-300x171.jpg.webp\" class=\"attachment-medium size-medium wp-post-image lazyload\" alt=\"\u0622\u0645\u0648\u0632\u0634 \u06a9\u0627\u0631 \u0628\u0627 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\" data-srcset=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/getimg_ai_img-eg7LoGAgP7SCCRmWssS2x_11zon-300x171.jpg.webp 300w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/smush-webp\/2023\/08\/getimg_ai_img-eg7LoGAgP7SCCRmWssS2x_11zon-768x439.jpg.webp 768w, https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-eg7LoGAgP7SCCRmWssS2x_11zon.jpg 896w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/171;\">\n  <a href=\"https:\/\/maktabkhooneh.org\/mag\/variable-in-python\/\" class=\"zht-related-post-title\"\n    itemprop=\"headline\" target=\"_blank\">\u0622\u0645\u0648\u0632\u0634 \u06a9\u0627\u0631 \u0628\u0627 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a>\n<\/section><\/div>\n\n\n<h2 class=\"wp-block-heading\">\u0633\u062e\u0646 \u067e\u0627\u06cc\u0627\u0646\u06cc<\/h2>\n\n\n\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628 \u0622\u0645\u0648\u0632\u0634\u06cc \u0627\u0632 \u0645\u06a9\u062a\u0648\u0628\u060c \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0627\u0632 \u062f\u06cc\u062f\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u067e\u0648\u0634\u0634 \u062f\u0627\u062f\u0647\u200c\u0627\u06cc\u0645. \u0641\u0631\u0642\u06cc \u0646\u0645\u06cc\u200c\u06a9\u0646\u062f \u0631\u0648\u06cc\u06a9\u0631\u062f brute force \u0633\u0627\u062f\u0647 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f\u060c \u06a9\u0627\u0631\u0627\u06cc\u06cc \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646\u060c \u06cc\u0627 \u0631\u0627\u062d\u062a\u06cc \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u060c \u0647\u0631 \u0631\u0648\u0634 \u0628\u0647 \u062f\u0631\u06a9 \u0634\u0645\u0627 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0628\u0631\u0631\u0633\u06cc \u0642\u0636\u0627\u06cc\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u0645\u0627\u0647\u06cc\u062a \u0639\u0645\u06cc\u0642 \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0631\u0627 \u0628\u0647 \u0634\u0645\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n\n\n\n<p>\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0634\u062e\u06cc\u0635 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0631 \u0627\u0646\u0648\u0627\u0639 \u0632\u0628\u0627\u0646\u200c\u0647\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u062f\u06cc\u06af\u0631 \u0645\u0627\u0646\u0646\u062f \u062c\u0627\u0648\u0627\u060c \u062c\u0627\u0648\u0627 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a\u060c \u0633\u06cc \u067e\u0644\u0627\u0633 \u067e\u0644\u0627\u0633 (c++) \u0648 \u063a\u06cc\u0631\u0647 \u0646\u06cc\u0632 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f. \u0628\u0647 \u0627\u0645\u06cc\u062f \u0627\u06cc\u0646\u06a9\u0647 <a href=\"https:\/\/maktabkhooneh.org\/mag\/python-programming-practice\/\">\u062a\u0645\u0631\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647\u200c \u0646\u0648\u06cc\u0633\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0628\u0627\u0644\u0627 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0628\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 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