{"id":70714,"date":"2026-11-09T12:28:29","date_gmt":"2026-11-09T08:58:29","guid":{"rendered":"https:\/\/maktabkhooneh.org\/mag\/?p=70714"},"modified":"2026-11-09T12:28:31","modified_gmt":"2026-11-09T08:58:31","slug":"prime-numbers-in-python","status":"publish","type":"post","link":"https:\/\/maktabkhooneh.org\/mag\/prime-numbers-in-python\/","title":{"rendered":"\u062a\u0634\u062e\u06cc\u0635 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\u061b \u06a9\u062f \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f \u062f\u0631 \u0638\u0627\u0647\u0631 \u0645\u0633\u0626\u0644\u0647\u200c\u0627\u06cc \u0633\u0627\u062f\u0647 \u0627\u0633\u062a \u0648 \u0628\u0631\u0627\u06cc \u062a\u0642\u0648\u06cc\u062a \u062a\u0641\u06a9\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u062f\u0631\u06a9 \u0645\u0646\u0637\u0642 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0627\u0647\u0645\u06cc\u062a \u0632\u06cc\u0627\u062f\u06cc \u062f\u0627\u0631\u062f. \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0646\u0642\u0634\u06cc \u067e\u0627\u06cc\u0647\u200c\u0627\u06cc \u062f\u0627\u0631\u0646\u062f. \u062f\u0631 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u0637\u0644\u0627\u0639\u0627\u062a\u060c \u0645\u0627\u0646\u0646\u062f \u0633\u0627\u062e\u062a \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u0639\u0645\u0648\u0645\u06cc \u0648 \u062e\u0635\u0648\u0635\u06cc\u060c \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0628\u0647 \u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u0646\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0648\u0634\u062a\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u062a\u0634\u062e\u06cc\u0635 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u06cc\u06a9\u06cc \u0627\u0632 \u062a\u0645\u0631\u06cc\u0646\u200c\u0647\u0627\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u062f\u0631 \u0645\u0633\u06cc\u0631 <a href=\"https:\/\/maktabkhooneh.org\/learn\/python\/\">\u0622\u0645\u0648\u0632\u0634 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0627\u0633\u062a. \u0627\u06cc\u0646 \u062a\u0645\u0631\u06cc\u0646 \u0628\u0647 \u062a\u0633\u0644\u0637 \u0628\u0631 \u062f\u0631\u06cc\u0627\u0641\u062a \u0648\u0631\u0648\u062f\u06cc\u060c \u0634\u0631\u0637\u200c\u0647\u0627 \u0648 \u062d\u0644\u0642\u0647\u200c\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0628\u0631\u0627\u06cc \u062d\u0644 \u0622\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f\u061b \u0686\u0627\u0644\u0634 \u0627\u0635\u0644\u06cc \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u06a9\u062f \u0633\u0627\u062f\u0647 \u0648 \u06a9\u0646\u062f \u0631\u0627 \u0628\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0633\u0631\u06cc\u0639 \u0628\u0627 \u06a9\u0645\u062a\u0631\u06cc\u0646 \u0645\u0635\u0631\u0641 \u0645\u0646\u0627\u0628\u0639 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0631\u0627 \u06af\u0627\u0645\u200c\u0628\u0647\u200c\u06af\u0627\u0645 \u0628\u0627 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u067e\u0627\u06cc\u0647\u060c \u06cc\u0639\u0646\u06cc \u0634\u0645\u0627\u0631\u0634 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627 \u0648 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631 \u06a9\u0645\u06a9\u06cc\u060c \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0633\u067e\u0633 \u0628\u0627 \u0631\u0641\u0639 \u062e\u0637\u0627\u0647\u0627\u06cc \u0631\u0627\u06cc\u062c\u06cc \u0645\u0627\u0646\u0646\u062f \u0628\u0627\u06af \u0639\u062f\u062f \u06f4\u060c \u0628\u0647 \u0633\u0631\u0627\u063a \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u062a\u0631 \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645: \u0628\u0631\u0631\u0633\u06cc \u062a\u0627 \u062c\u0630\u0631 \u0639\u062f\u062f\u060c \u0642\u0627\u0639\u062f\u0647 [\u0641\u0631\u0645\u0648\u0644] \u060c \u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 SymPy \u0648 \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0645\u0646\u0637\u0642 \u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0686\u06cc\u0633\u062a\u061f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u0645\u0633\u06cc\u0631 <a href=\"https:\/\/maktabkhooneh.org\/learn\/programming\/\">\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc<\/a>\u060c \u062a\u062d\u0644\u06cc\u0644 \u0645\u0633\u0626\u0644\u0647 \u0648 \u062a\u0628\u062f\u06cc\u0644 \u062a\u0639\u0631\u06cc\u0641 \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646 \u0628\u0647 \u0634\u0631\u0637\u200c\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc\u060c \u0627\u0648\u0644\u06cc\u0646 \u0642\u062f\u0645 \u067e\u06cc\u0634 \u0627\u0632 \u0646\u0648\u0634\u062a\u0646 \u06a9\u062f \u0627\u0633\u062a. \u0639\u062f\u062f \u0627\u0648\u0644 (Prime Number) \u0639\u062f\u062f\u06cc \u0637\u0628\u06cc\u0639\u06cc \u0648 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0627\u0632 \u06f1 \u0627\u0633\u062a \u06a9\u0647 \u062c\u0632 \u0628\u0631 \u06f1 \u0648 \u062e\u0648\u062f\u0634\u060c \u0628\u0631 \u0647\u06cc\u0686 \u0639\u062f\u062f \u062f\u06cc\u06af\u0631\u06cc \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0646\u06cc\u0633\u062a\u061b \u06cc\u0639\u0646\u06cc \u062f\u0642\u06cc\u0642\u0627\u064b \u062f\u0648 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 \u062f\u0627\u0631\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062a\u0639\u0631\u06cc\u0641\u060c \u0627\u0639\u062f\u0627\u062f \u0645\u0646\u0641\u06cc\u060c \u06f0 \u0648 \u06f1 \u0627\u0648\u0644 \u0646\u06cc\u0633\u062a\u0646\u062f. \u0639\u062f\u062f \u06f1 \u062e\u0627\u0631\u062c \u0627\u0632 \u062a\u0639\u0631\u06cc\u0641 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f \u0648 \u0639\u062f\u062f \u06f2 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631\u06cc\u0646 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u062a\u0634\u062e\u06cc\u0635 \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u0639\u062f\u062f \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0628\u0627\u0642\u06cc\u200c\u0645\u0627\u0646\u062f\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0639\u062f\u062f \u0648\u0631\u0648\u062f\u06cc \u0628\u0631 \u0627\u0639\u062f\u0627\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 \u062e\u0648\u062f\u0634 \u0631\u0627 \u0628\u0627 \u0639\u0645\u0644\u06af\u0631 % \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0648 \u062e\u0631\u0648\u062c\u06cc \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647\nInput: n = 11 -&gt; Output: True (Prime Number - \u0641\u0642\u0637 \u0628\u0631 1 \u0648 11 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0627\u0633\u062a)\nInput: n = 15 -&gt; Output: False (Not a Prime Number - \u0628\u0631 3 \u0648 5 \u0647\u0645 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0627\u0633\u062a)\nInput: n = 1  -&gt; Output: False (Not a Prime Number - \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 2 \u0627\u0633\u062a)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u067e\u0627\u06cc\u0647 \u0628\u0631\u0627\u06cc \u062a\u0634\u062e\u06cc\u0635 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0631\u0627\u0647 \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f\u060c \u062a\u0642\u0633\u06cc\u0645 \u0622\u0646 \u0628\u0631 \u0627\u0639\u062f\u0627\u062f \u062f\u06cc\u06af\u0631 \u0628\u0627 \u062d\u0644\u0642\u0647 for \u0627\u0633\u062a. \u062f\u0631 \u0627\u06cc\u0646 \u0628\u062e\u0634 \u0633\u0647 \u0631\u0648\u0634 \u0645\u0642\u062f\u0645\u0627\u062a\u06cc \u0631\u0627 \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u062a\u06a9\u0627\u0645\u0644 \u0645\u0646\u0637\u0642 \u0622\u0646\u200c\u0647\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0622\u0646\u200c\u0647\u0627\u060c \u062f\u0648 \u0627\u0628\u0647\u0627\u0645 \u067e\u0631\u062a\u06a9\u0631\u0627\u0631 \u062f\u0631 \u0646\u0648\u0634\u062a\u0646 \u0627\u06cc\u0646 \u06a9\u062f\u0647\u0627 \u0631\u0627 \u0646\u06cc\u0632 \u0631\u0641\u0639 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f.<\/p>\n\n\n<div class=\"jet-listing-grid--50121\" style=\"\"><div class=\"jet-listing-dynamic-field-block zht-maktab-khooneh-course cb-fb2qc30r\"data-is-block=\"jet-engine\/dynamic-field\"><div class=\"jet-listing-dynamic-field__content\" >\n<div class=\"course-card\">\n            <div class=\"course-card-img\">\n            <img decoding=\"async\" \n                data-src=\"https:\/\/media1.maktabkhooneh.org\/CACHE\/images\/courses\/images\/photo_2024-05-15_14-02-35_16x9\/2b0351d0a87a3a931a3484f7fce66521.webp?expire=4893471932&#038;token=96f63f0efcc0cc119a4eb0d472cdeb12&#038;md5=lvY_DvzAzBGaTrDUcs3rEg==\" \n                alt=\"\u0622\u0645\u0648\u0632\u0634 150 \u062a\u0645\u0631\u06cc\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0632 \u0645\u0628\u062a\u062f\u06cc \u062a\u0627 \u062d\u0631\u0641\u0647\u200c\u0627\u06cc\" \n                title=\"\u0622\u0645\u0648\u0632\u0634 150 \u062a\u0645\u0631\u06cc\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0632 \u0645\u0628\u062a\u062f\u06cc \u062a\u0627 \u062d\u0631\u0641\u0647\u200c\u0627\u06cc\" \n               \n             src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\">\n        <\/div>\n    \n    <div class=\"course-details\">\n        <a href=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-150-%D8%AA%D9%85%D8%B1%DB%8C%D9%86-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-%D9%85%D8%A8%D8%AA%D8%AF%DB%8C-%D8%AD%D8%B1%D9%81%D9%87-mk6552\/\" class=\"course-title\" target=\"_blank\" rel=\"noopener noreferrer\">\n            \u0622\u0645\u0648\u0632\u0634 150 \u062a\u0645\u0631\u06cc\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0632 \u0645\u0628\u062a\u062f\u06cc \u062a\u0627 \u062d\u0631\u0641\u0647\u200c\u0627\u06cc        <\/a>\n\n        <div class=\"course-price\">\n            \n                <span class=\"real-price\">\n                                            549,000                                    <\/span>\n\n                <span>\n                    <span class=\"discounted-price\">\n                        219,600                    <\/span>\n                    <span class=\"price-currency\">\u062a\u0648\u0645\u0627\u0646<\/span>\n                <\/span>\n\n                                    <div class=\"discount-percentage\">\n                        60%                    <\/div>\n                \n                    <\/div>\n        <button class=\"course-cta-button\" data-course-url=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-150-%D8%AA%D9%85%D8%B1%DB%8C%D9%86-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-%D9%85%D8%A8%D8%AA%D8%AF%DB%8C-%D8%AD%D8%B1%D9%81%D9%87-mk6552\/\">\n            \u0645\u0634\u0627\u0647\u062f\u0647 \u0648 \u062e\u0631\u06cc\u062f        <\/button>\n    <\/div>\n<\/div>\n<\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u0631\u0648\u0634 \u0627\u0648\u0644: \u0634\u0645\u0627\u0631\u0634 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627 (\u0645\u0646\u0627\u0633\u0628 \u0634\u0631\u0648\u0639 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0622\u0645\u0648\u0632\u0634\u06cc\u060c \u0639\u062f\u062f \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0628\u0631 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0627\u0632 \u06f1 \u062a\u0627 \u062e\u0648\u062f\u0634 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0648 \u062a\u0639\u062f\u0627\u062f \u062f\u0641\u0639\u0627\u062a\u06cc \u0631\u0627 \u0645\u06cc\u200c\u0634\u0645\u0627\u0631\u06cc\u0645 \u06a9\u0647 \u0628\u0627\u0642\u06cc\u200c\u0645\u0627\u0646\u062f\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0635\u0641\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06af\u0631 \u067e\u0633 \u0627\u0632 \u067e\u0627\u06cc\u0627\u0646 \u062d\u0644\u0642\u0647\u060c \u062a\u0639\u062f\u0627\u062f \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627 \u062f\u0642\u06cc\u0642\u0627\u064b \u06f2 \u0628\u0627\u0634\u062f\u060c \u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2026\/11\/prime-numbers-in-python-2.png\" alt=\"\u0645\u062d\u06cc\u0637 \u062f\u06cc\u0628\u0627\u06af \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u0631 \u062d\u0627\u0644 \u0634\u0645\u0627\u0631\u0634 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627 \u0628\u0627 \u0645\u062a\u063a\u06cc\u0631 accumulator \u0628\u0631\u0627\u06cc \u0639\u062f\u062f \u06f5\" title=\"\" width=\"800\" class=\"smush-dimensions lazyload\" style=\"--smush-image-width: 800px; --smush-image-aspect-ratio: 800\/450;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\"><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code>number = int(input('Please enter a number: '))\n\nif number &lt; 2:\n    print('Your number is not prime')\nelse:\n    accumulator = 0\n    for i in range(1, number + 1):\n        if number % i == 0:\n            accumulator += 1\n\n    if accumulator == 2:\n        print('Your number is prime')\n    else:\n        print('Your number is not prime')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0633\u062a\u0648\u0631 input() \u0627\u0628\u062a\u062f\u0627 \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 int() \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0634\u0631\u0637 \u0627\u0648\u0644\u060c \u0627\u0639\u062f\u0627\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 \u06f2 \u0631\u0627 \u0631\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0633\u067e\u0633 \u0628\u0631\u0646\u0627\u0645\u0647 \u0645\u062a\u063a\u06cc\u0631 \u0634\u0645\u0627\u0631\u0646\u062f\u0647 accumulator \u0631\u0627 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u0627\u0648\u0644\u06cc\u0647 \u06f0 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062d\u0644\u0642\u0647 for \u0628\u0627\u0632\u0647 \u06f1 \u062a\u0627 number + 1 \u0631\u0627 \u067e\u06cc\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06a9\u0646\u062f\u061b \u0627\u0644\u0628\u062a\u0647 \u062a\u0627\u0628\u0639 range \u062d\u062f \u0628\u0627\u0644\u0627 \u0631\u0627 \u062f\u0631 \u0628\u0627\u0632\u0647 \u0646\u0645\u06cc\u200c\u0622\u0648\u0631\u062f. \u0647\u0631 \u0628\u0627\u0631 \u06a9\u0647 \u0634\u0631\u0637 number % i == 0 \u0628\u0631\u0642\u0631\u0627\u0631 \u0628\u0627\u0634\u062f\u060c \u062d\u0644\u0642\u0647 \u06cc\u06a9 \u0648\u0627\u062d\u062f \u0628\u0647 \u0634\u0645\u0627\u0631\u0646\u062f\u0647 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 \u0646\u06cc\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u062d\u062a\u06cc \u0627\u06af\u0631 \u0639\u062f\u062f \u0628\u0631 \u06f2 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f\u060c \u062d\u0644\u0642\u0647 \u0628\u0627\u0632 \u0647\u0645 \u062a\u0627 \u0627\u0646\u062a\u0647\u0627\u06cc \u0639\u062f\u062f \u067e\u06cc\u0634 \u0645\u06cc\u200c\u0631\u0648\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0631\u0648\u0634 \u062f\u0648\u0645: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631 \u06a9\u0645\u06a9\u06cc (Flag) \u0648 \u062f\u0633\u062a\u0648\u0631 break<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0647 \u062c\u0627\u06cc \u0634\u0645\u0627\u0631\u0634 \u062a\u0645\u0627\u0645 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627\u060c \u06a9\u0627\u0641\u06cc \u0627\u0633\u062a \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0639\u062f\u062f \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u06cc \u063a\u06cc\u0631 \u0627\u0632 \u06f1 \u0648 \u062e\u0648\u062f\u0634 \u062f\u0627\u0631\u062f \u06cc\u0627 \u0646\u0647. \u0628\u0647 \u0645\u062d\u0636 \u067e\u06cc\u062f\u0627 \u0634\u062f\u0646 \u0627\u0648\u0644\u06cc\u0646 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 \u062f\u0631 \u0628\u0627\u0632\u0647 2 \u062a\u0627 number &#8211; 1\u060c \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0639\u062f\u062f \u0627\u0648\u0644 \u0646\u06cc\u0633\u062a \u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u0644\u0642\u0647 \u0631\u0627 \u0645\u062a\u0648\u0642\u0641 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>number = int(input(\"Enter a number: \"))\nflag = False\n\nif number &gt; 1:\n    for i in range(2, number):\n        if (number % i) == 0:\n            flag = True\n            break\n\n    if flag:\n        print(number, \"is not a prime number\")\n    else:\n        print(number, \"is a prime number\")\nelse:\n    print(number, \"is not a prime number\")<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u0627\u06cc\u0646 \u06a9\u062f\u060c \u0645\u062a\u063a\u06cc\u0631 \u06a9\u0645\u06a9\u06cc flag \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u0627\u0648\u0644\u06cc\u0647 False \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062d\u0644\u0642\u0647\u060c \u0627\u0639\u062f\u0627\u062f \u06f2 \u062a\u0627 \u06cc\u06a9\u06cc \u0645\u0627\u0646\u062f\u0647 \u0628\u0647 \u062e\u0648\u062f \u0639\u062f\u062f \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06af\u0631 \u0628\u0627\u0642\u06cc\u200c\u0645\u0627\u0646\u062f\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0635\u0641\u0631 \u0634\u0648\u062f\u060c flag \u0645\u0642\u062f\u0627\u0631 True \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f \u0648 \u062f\u0633\u062a\u0648\u0631 break \u0628\u0644\u0627\u0641\u0627\u0635\u0644\u0647 \u062d\u0644\u0642\u0647 \u0631\u0627 \u0645\u062a\u0648\u0642\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u062a\u06a9\u0631\u0627\u0631\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0627\u0646\u062c\u0627\u0645 \u0646\u0634\u0648\u0646\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0631\u0648\u0634 \u0633\u0648\u0645: \u06a9\u0627\u0647\u0634 \u0628\u0627\u0632\u0647 \u0628\u0631\u0631\u0633\u06cc \u062a\u0627 \u0646\u0635\u0641 \u0639\u062f\u062f ( [\u0641\u0631\u0645\u0648\u0644] ) \u0648 \u0631\u0641\u0639 \u0628\u0627\u06af \u0639\u062f\u062f \u06f4<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0647\u06cc\u0686 \u0639\u062f\u062f\u06cc \u0628\u0631 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0627\u0632 \u0646\u0635\u0641 \u062e\u0648\u062f\u0634\u060c \u062c\u0632 \u062e\u0648\u062f \u0622\u0646 \u0639\u062f\u062f\u060c \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0646\u06cc\u0633\u062a. \u067e\u0633 \u0644\u0627\u0632\u0645 \u0646\u06cc\u0633\u062a \u062d\u0644\u0642\u0647 \u0631\u0627 \u062a\u0627 number &#8211; 1 \u0627\u062f\u0627\u0645\u0647 \u062f\u0647\u06cc\u0645 \u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0627\u0632\u0647 \u0628\u0631\u0631\u0633\u06cc \u0631\u0627 \u0628\u0647 \u0646\u0635\u0641 \u0639\u062f\u062f\u060c \u06cc\u0639\u0646\u06cc number \/\/ 2\u060c \u0645\u062d\u062f\u0648\u062f \u06a9\u0646\u06cc\u0645. \u0633\u0627\u062e\u062a\u0627\u0631 for-else \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0646\u06cc\u0632 \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f \u0645\u062a\u063a\u06cc\u0631 flag \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2026\/11\/prime-numbers-in-python-3.jpg\" alt=\"\u0645\u0642\u0627\u06cc\u0633\u0647 \u062e\u0631\u0648\u062c\u06cc \u0627\u0634\u062a\u0628\u0627\u0647 \u0648 \u062f\u0631\u0633\u062a \u0628\u0631\u0627\u06cc \u0639\u062f\u062f \u06f4 \u062f\u0631 \u062d\u0644\u0642\u0647 for-else \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 \u0627\u0635\u0644\u0627\u062d \u062a\u0627\u0628\u0639 range\" title=\"\" width=\"800\" class=\"smush-dimensions lazyload\" style=\"--smush-image-width: 800px; --smush-image-aspect-ratio: 800\/447;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\"><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code>number = int(input('please input your number: '))\n\nif number &gt; 1:\n    for i in range(2, number \/\/ 2 + 1):\n        if number % i == 0:\n            print('your number is not prime')\n            break\n    else:\n        print('your number is prime')\nelse:\n    print('your number is not prime')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0686\u0631\u0627 \u062f\u0633\u062a\u0648\u0631 else \u0627\u0648\u0644 \u0647\u0645\u200c\u062a\u0631\u0627\u0632 \u0628\u0627 \u062d\u0644\u0642\u0647 for \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a\u061f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0628\u0644\u0648\u06a9 else \u06a9\u0647 \u0628\u0627 \u062d\u0644\u0642\u0647 for \u0647\u0645\u200c\u062a\u0631\u0627\u0632 \u0627\u0633\u062a \u0648 Indentation \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0631\u062f\u060c \u0628\u0647 \u0633\u0627\u062e\u062a\u0627\u0631 \u062e\u0648\u062f \u062d\u0644\u0642\u0647 \u062a\u0639\u0644\u0642 \u062f\u0627\u0631\u062f. \u0627\u06cc\u0646 \u0628\u0644\u0648\u06a9 \u0641\u0642\u0637 \u0632\u0645\u0627\u0646\u06cc \u0627\u062c\u0631\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062d\u0644\u0642\u0647 \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0627\u0645\u0644 \u0628\u0647 \u067e\u0627\u06cc\u0627\u0646 \u0628\u0631\u0633\u062f \u0648 \u0628\u0627 \u062f\u0633\u062a\u0648\u0631 break \u0645\u062a\u0648\u0642\u0641 \u0646\u0634\u062f\u0647 \u0628\u0627\u0634\u062f\u061b \u06cc\u0639\u0646\u06cc \u0647\u06cc\u0686 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u06cc \u067e\u06cc\u062f\u0627 \u0646\u0634\u0648\u062f. else \u062f\u0648\u0645 \u0628\u0627 if number &gt; 1 \u0647\u0645\u200c\u062a\u0631\u0627\u0632 \u0627\u0633\u062a \u0648 \u0632\u0645\u0627\u0646\u06cc \u0627\u062c\u0631\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0639\u062f\u062f \u0648\u0631\u0648\u062f\u06cc \u06f1 \u06cc\u0627 \u06a9\u0645\u062a\u0631 \u0628\u0627\u0634\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0634\u06a9\u0627\u0644\u200c\u0632\u062f\u0627\u06cc\u06cc \u0628\u0627\u06af \u0639\u062f\u062f \u06f4:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0647\u0646\u06af\u0627\u0645 \u062a\u0639\u0631\u06cc\u0641 \u0628\u0627\u0632\u0647 \u062d\u0644\u0642\u0647\u060c \u0639\u0628\u0627\u0631\u062a + 1 \u0631\u0627 \u0646\u0646\u0648\u06cc\u0633\u06cc\u062f \u0648 \u0627\u0632 range(2, number \/\/ 2) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f\u060c \u0628\u0631\u0646\u0627\u0645\u0647 \u0639\u062f\u062f \u06f4 \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0628\u0627\u0647 \u0627\u0648\u0644 \u062a\u0634\u062e\u06cc\u0635 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc\u060c \u062d\u0627\u0635\u0644 4 \/\/ 2 \u0628\u0631\u0627\u0628\u0631 \u06f2 \u0627\u0633\u062a \u0648 \u0628\u0627\u0632\u0647 \u0628\u0647 \u0634\u06a9\u0644 range(2, 2) \u062f\u0631\u0645\u06cc\u200c\u0622\u06cc\u062f. \u062a\u0627\u0628\u0639 range \u062d\u062f \u0628\u0627\u0644\u0627 \u0631\u0627 \u062f\u0631 \u0628\u0627\u0632\u0647 \u0646\u0645\u06cc\u200c\u0622\u0648\u0631\u062f\u060c \u067e\u0633 \u0627\u06cc\u0646 \u0628\u0627\u0632\u0647 \u062e\u0627\u0644\u06cc \u0627\u0633\u062a. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u062d\u0644\u0642\u0647 \u0627\u0635\u0644\u0627\u064b \u0627\u062c\u0631\u0627 \u0646\u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0628\u0631\u0646\u0627\u0645\u0647 \u0645\u0633\u062a\u0642\u06cc\u0645\u0627\u064b \u0648\u0627\u0631\u062f \u0628\u062e\u0634 else \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u06f4 \u0631\u0627 \u0627\u0648\u0644 \u0627\u0639\u0644\u0627\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 + 1 \u0628\u0647 \u062d\u062f \u0628\u0627\u0644\u0627 \u062f\u0631 \u0639\u0628\u0627\u0631\u062a number \/\/ 2 + 1 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0639\u062f\u062f \u06f2 \u0646\u06cc\u0632 \u062f\u0631 \u062d\u0644\u0642\u0647 \u0628\u0631\u0631\u0633\u06cc \u0634\u0648\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0645\u0631\u06cc\u0646 \u0645\u062f\u0627\u0648\u0645 \u0648 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0639\u0645\u0644\u06cc \u0628\u0647 \u062a\u0633\u0644\u0637 \u0628\u0631 \u0633\u0627\u062e\u062a\u0627\u0631\u0647\u0627\u06cc \u0634\u0631\u0637\u06cc \u0648 \u062d\u0644\u0642\u0647\u200c\u0647\u0627 \u0648 \u062a\u0642\u0648\u06cc\u062a \u0645\u0646\u0637\u0642 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0634\u0645\u0627 \u06a9\u0645\u06a9 \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 \u0628\u0647\u06cc\u0646\u0647 \u0648 \u0633\u0631\u06cc\u0639 \u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u062d\u0644 \u0647\u0631 \u0645\u0633\u0626\u0644\u0647 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0647\u062f\u0641 \u062f\u0631 <a href=\"https:\/\/maktabkhooneh.org\/learn\/algorithm-design\/\">\u0622\u0645\u0648\u0632\u0634 \u0637\u0631\u0627\u062d\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645<\/a> \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u06a9\u062f\u06cc \u0628\u0627 \u06a9\u0645\u062a\u0631\u06cc\u0646 \u062a\u0639\u062f\u0627\u062f \u062a\u06a9\u0631\u0627\u0631 \u0648 \u0645\u0635\u0631\u0641 \u0645\u0646\u0627\u0628\u0639 \u0628\u0631\u0633\u06cc\u0645. \u0628\u0631\u0631\u0633\u06cc \u0627\u0639\u062f\u0627\u062f \u062a\u0627 [\u0641\u0631\u0645\u0648\u0644] \u0628\u0631\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0632\u0645\u0627\u0646\u200c\u0628\u0631 \u0627\u0633\u062a. \u062f\u0648 \u0642\u0627\u0646\u0648\u0646 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0647 \u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u062a\u0639\u062f\u0627\u062f \u062a\u06a9\u0631\u0627\u0631\u0647\u0627\u06cc \u062d\u0644\u0642\u0647 \u0631\u0627 \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0645\u062a\u0631 \u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0628\u0631\u0631\u0633\u06cc \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u200c\u0647\u0627 \u062a\u0627 \u062c\u0630\u0631 \u0639\u062f\u062f ( [\u0641\u0631\u0645\u0648\u0644] )<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0639\u062f\u062f\u06cc \u0645\u0631\u06a9\u0628 \u0628\u0627\u0634\u062f\u060c \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u06cc \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u06cc\u0627 \u0645\u0633\u0627\u0648\u06cc \u062c\u0630\u0631 \u062e\u0648\u062f\u0634 ( [\u0641\u0631\u0645\u0648\u0644] ) \u062f\u0627\u0631\u062f. \u062f\u0644\u06cc\u0644 \u0627\u06cc\u0646 \u0642\u0627\u0639\u062f\u0647 \u0622\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u0639\u0627\u0645\u0644 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0627\u0632 \u062c\u0630\u0631 \u0639\u062f\u062f\u060c \u0645\u0636\u0631\u0628 \u0639\u0627\u0645\u0644\u06cc \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0642\u0628\u0644\u0627\u064b \u0622\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645. \u067e\u0633 \u06a9\u0627\u0641\u06cc \u0627\u0633\u062a \u062d\u0644\u0642\u0647 \u0631\u0627 \u0628\u0647 \u062c\u0627\u06cc \u0646\u0635\u0641 \u0639\u062f\u062f\u060c \u0641\u0642\u0637 \u062a\u0627 \u062c\u0630\u0631 \u0622\u0646 \u0627\u062f\u0627\u0645\u0647 \u062f\u0647\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>n = 11\n\nif n &lt;= 1:\n    print(False)\nelse:\n    prime = True\n    for i in range(2, int(n  0.5) + 1):\n        if n % i == 0:\n            prime = False\n            break\n    print(prime)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0639\u0628\u0627\u0631\u062a n ** 0.5 \u062c\u0630\u0631 \u0639\u062f\u062f \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u062a\u0627\u0628\u0639 int() \u0628\u062e\u0634 \u0627\u0639\u0634\u0627\u0631\u06cc \u0622\u0646 \u0631\u0627 \u062d\u0630\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u0641\u0632\u0648\u062f\u0646 + 1 \u0646\u06cc\u0632 \u0628\u0627\u0639\u062b \u0645\u06cc\u200c\u0634\u0648\u062f \u062e\u0648\u062f \u0639\u062f\u062f \u062c\u0630\u0631 \u062f\u0631 \u0628\u0627\u0632\u0647 range \u0642\u0631\u0627\u0631 \u0628\u06af\u06cc\u0631\u062f \u0648 \u0628\u0631\u0631\u0633\u06cc \u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0639\u062f\u062f\u06cc \u0645\u0627\u0646\u0646\u062f \u06f1\u06f0\u06f0\u060c \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0647 \u062c\u0627\u06cc \u06f5\u06f0 \u0628\u0627\u0631 \u062a\u06a9\u0631\u0627\u0631 \u062f\u0631 \u0631\u0648\u0634 \u0646\u0635\u0641 \u0639\u062f\u062f\u060c \u062d\u062f\u0627\u06a9\u062b\u0631 \u062a\u0627 \u0639\u062f\u062f \u06f1\u06f0 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 [\u0641\u0631\u0645\u0648\u0644] (\u0633\u0631\u06cc\u0639\u200c\u062a\u0631\u06cc\u0646 \u0631\u0648\u0634 \u062d\u0644\u0642\u0647)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0645\u062d\u062f\u0648\u062f \u06a9\u0631\u062f\u0646 \u0628\u0627\u0632\u0647 \u0628\u0647 \u062c\u0630\u0631 \u0639\u062f\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u06af\u0627\u0645 \u062d\u0631\u06a9\u062a \u062d\u0644\u0642\u0647 \u0631\u0627 \u0647\u0645 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u06a9\u0646\u06cc\u0645. \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u060c \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0634\u06a9\u0644 [\u0641\u0631\u0645\u0648\u0644] (\u0628\u0631\u0627\u06cc [\u0641\u0631\u0645\u0648\u0644] \u0627\u0632 [\u0641\u0631\u0645\u0648\u0644] \u062a\u0627 [\u0641\u0631\u0645\u0648\u0644] ) \u0646\u0648\u0634\u062a. \u0627\u0639\u062f\u0627\u062f \u0628\u0627 \u0641\u0631\u0645 [\u0641\u0631\u0645\u0648\u0644] \u060c [\u0641\u0631\u0645\u0648\u0644] \u0648 [\u0641\u0631\u0645\u0648\u0644] \u0628\u0631 \u06f2 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u0646\u062f \u0648 \u0627\u0639\u062f\u0627\u062f \u0628\u0627 \u0641\u0631\u0645 [\u0641\u0631\u0645\u0648\u0644] \u0628\u0631 \u06f3 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u0646\u062f. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u0647 \u0627\u0633\u062a\u062b\u0646\u0627\u06cc \u06f2 \u0648 \u06f3\u060c \u0628\u0647 \u0634\u06a9\u0644 [\u0641\u0631\u0645\u0648\u0644] \u0647\u0633\u062a\u0646\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u0642\u0627\u0639\u062f\u0647\u060c \u0627\u0628\u062a\u062f\u0627 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u06cc \u0639\u062f\u062f \u0628\u0631 \u06f2 \u0648 \u06f3 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0633\u067e\u0633 \u062d\u0644\u0642\u0647 \u0641\u0642\u0637 \u0627\u0639\u062f\u0627\u062f \u062f\u0627\u0631\u0627\u06cc \u0641\u0631\u0645 [\u0641\u0631\u0645\u0648\u0644] \u0631\u0627 \u062a\u0627 \u062c\u0630\u0631 \u0639\u062f\u062f \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>number = int(input('please input your number: '))\n\nactive = True\nwhile active:\n    if number &lt;= 1:\n        print('your number is not prime')\n        break\n    if number &lt;= 3:\n        print('your number is prime')\n        break\n    if number % 2 == 0 or number % 3 == 0:\n        print('your number is not prime')\n        break\n\n    i = 5\n    is_prime = True\n    while i * i &lt;= number:\n        if number % i == 0 or number % (i + 2) == 0:\n            print('your number is not prime')\n            is_prime = False\n            break\n        i += 6\n\n    active = False\n    if is_prime:\n        print('your number is prime')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647 \u0627\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628 \u0639\u0645\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0627\u0628\u062a\u062f\u0627 \u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u0639\u062f\u0627\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u06cc\u0627 \u0645\u0633\u0627\u0648\u06cc \u06f1 \u0631\u0627 \u063a\u06cc\u0631\u0627\u0648\u0644 \u0648 \u0627\u0639\u062f\u0627\u062f \u06f2 \u0648 \u06f3 \u0631\u0627 \u0627\u0648\u0644 \u062a\u0634\u062e\u06cc\u0635 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/li>\n\n\n\n<li>\u0633\u067e\u0633 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u06cc \u0628\u0631 \u06f2 \u0648 \u06f3 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u062a\u0645\u0627\u0645 \u0645\u0636\u0627\u0631\u0628 \u0632\u0648\u062c \u0648 \u0645\u0636\u0627\u0631\u0628 \u06f3 \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u062f.<\/li>\n\n\n\n<li>\u0634\u0645\u0627\u0631\u0646\u062f\u0647 i \u0627\u0632 \u0639\u062f\u062f \u06f5 (\u06cc\u0639\u0646\u06cc [\u0641\u0631\u0645\u0648\u0644] ) \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0634\u0631\u0637 i * i &lt;= number \u062d\u0644\u0642\u0647 \u0631\u0627 \u0628\u0647 \u0628\u0627\u0632\u0647 \u062a\u0627 \u062c\u0630\u0631 \u0639\u062f\u062f \u0645\u062d\u062f\u0648\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/li>\n\n\n\n<li>\u062f\u0631 \u0647\u0631 \u062a\u06a9\u0631\u0627\u0631\u060c \u062d\u0644\u0642\u0647 \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u06cc \u0639\u062f\u062f \u0628\u0631 i ( [\u0641\u0631\u0645\u0648\u0644] ) \u0648 i + 2 ( [\u0641\u0631\u0645\u0648\u0644] ) \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0633\u067e\u0633 \u0634\u0645\u0627\u0631\u0646\u062f\u0647 \u06f6 \u0648\u0627\u062d\u062f \u0627\u0641\u0632\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f (i += 6).<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u062a\u0627\u0628\u0639 \u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u0627\u0632 \u062a\u06a9\u0631\u0627\u0631 \u06a9\u062f \u0648 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0648\u0628\u0627\u0631\u0647 \u0627\u0632 \u0645\u0646\u0637\u0642 \u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u067e\u0631\u0648\u0698\u0647\u060c \u0633\u0631\u0627\u063a \u062a\u0639\u0631\u06cc\u0641 \u062a\u0627\u0628\u0639 \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0633\u0647 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f\u060c \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0648 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0627\u06cc \u0631\u0627 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/p>\n\n\n<div class=\"jet-listing-grid--50121\" style=\"\"><div class=\"jet-listing-dynamic-field-block zht-maktab-khooneh-course cb-fb2qc30r\"data-is-block=\"jet-engine\/dynamic-field\"><div class=\"jet-listing-dynamic-field__content\" >\n<div class=\"course-card\">\n            <div class=\"course-card-img\">\n            <img decoding=\"async\" \n                data-src=\"https:\/\/media1.maktabkhooneh.org\/CACHE\/images\/courses\/images\/\u062a\u0648\u0627\u0628\u0639-\u062f\u0631-\u067e\u0627\u06cc\u062a\u0648\u0646_1403-08-16-164302580\/f29423c13b82071eb180868ff10a86e8.webp?expire=4893471932&#038;token=510ac272fc34db600e259e97b531d250&#038;md5=UQrCcvw022AOJZ6XtTHSUA==\" \n                alt=\"\u0622\u0645\u0648\u0632\u0634 \u0631\u0627\u06cc\u06af\u0627\u0646 \u062a\u0648\u0627\u0628\u0639 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\" \n                title=\"\u0622\u0645\u0648\u0632\u0634 \u0631\u0627\u06cc\u06af\u0627\u0646 \u062a\u0648\u0627\u0628\u0639 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646\" \n               \n             src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\">\n        <\/div>\n    \n    <div class=\"course-details\">\n        <a href=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-%D8%B1%D8%A7%DB%8C%DA%AF%D8%A7%D9%86-%D8%AA%D9%88%D8%A7%D8%A8%D8%B9-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-mk1208\/\" class=\"course-title\" target=\"_blank\" rel=\"noopener noreferrer\">\n            \u0622\u0645\u0648\u0632\u0634 \u0631\u0627\u06cc\u06af\u0627\u0646 \u062a\u0648\u0627\u0628\u0639 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646        <\/a>\n\n        <div class=\"course-price\">\n            \n                <span class=\"free-price\">\u0631\u0627\u06cc\u06af\u0627\u0646<\/span>\n\n                    <\/div>\n        <button class=\"course-cta-button\" data-course-url=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-%D8%B1%D8%A7%DB%8C%DA%AF%D8%A7%D9%86-%D8%AA%D9%88%D8%A7%D8%A8%D8%B9-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-mk1208\/\">\n            \u0645\u0634\u0627\u0647\u062f\u0647        <\/button>\n    <\/div>\n<\/div>\n<\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u0646\u0648\u0634\u062a\u0646 \u062a\u0627\u0628\u0639 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f is_prime<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0627 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647\u06cc\u0646\u0647 [\u0641\u0631\u0645\u0648\u0644] \u062f\u0631 \u0642\u0627\u0644\u0628 \u062a\u0627\u0628\u0639\u060c \u06a9\u062f\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a \u06a9\u0647 \u06cc\u06a9 \u0639\u062f\u062f \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f \u0648 \u0645\u0642\u062f\u0627\u0631 \u0628\u0648\u0644\u06cc\u0646 \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f: True \u0628\u0631\u0627\u06cc \u0639\u062f\u062f \u0627\u0648\u0644 \u0648 False \u0628\u0631\u0627\u06cc \u0639\u062f\u062f \u063a\u06cc\u0631\u0627\u0648\u0644.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def is_prime(n):\n    if n &lt;= 1:\n        return False\n    if n &lt;= 3:\n        return True\n    if n % 2 == 0 or n % 3 == 0:\n        return False\n\n    i = 5\n    while i * i &lt;= n:\n        if n % i == 0 or n % (i + 2) == 0:\n            return False\n        i = i + 6\n\n    return True\n\n# \u062a\u0633\u062a \u062a\u0627\u0628\u0639\nnumber = int(input('please input your number: '))\nif is_prime(number):\n    print('your number is prime')\nelse:\n    print('your number is not prime')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0633\u062a\u0648\u0631 return \u0628\u0647 \u0645\u062d\u0636 \u0645\u0634\u062e\u0635 \u0634\u062f\u0646 \u0646\u062a\u06cc\u062c\u0647\u060c \u0627\u062c\u0631\u0627\u06cc \u062a\u0627\u0628\u0639 \u0631\u0627 \u0645\u062a\u0648\u0642\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0645\u0642\u062f\u0627\u0631 \u0628\u0648\u0644\u06cc\u0646 \u0631\u0627 \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f. \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644\u060c \u062f\u0631 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u062f\u06cc\u06af\u0631 \u0628\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u06a9\u0645\u06a9\u06cc active \u06cc\u0627 is_prime \u0648 \u062f\u0633\u062a\u0648\u0631 break \u0646\u06cc\u0627\u0632 \u0646\u062f\u0627\u0631\u06cc\u0645.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u06a9\u0648\u0686\u06a9 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0642\u0627\u0628\u0644\u06cc\u062a\u200c\u0647\u0627\u06cc \u062e\u0644\u0627\u0635\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u06cc\u0639\u0646\u06cc List Comprehension \u0648 \u062a\u0627\u0628\u0639 sum\u060c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u0648 \u062a\u0627\u0628\u0639 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u062e\u0637 \u0646\u0648\u0634\u062a. \u0627\u0645\u06a9\u0627\u0646 \u062a\u0631\u06a9\u06cc\u0628 \u0622\u0646 \u0628\u0627 <a href=\"https:\/\/maktabkhooneh.org\/mag\/lambda-functions-in-python\/\">\u062a\u0627\u0628\u0639 \u0644\u0627\u0645\u0628\u062f\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0646\u06cc\u0632 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def p(n):\n    return n &gt; 1 and not sum(&#91;1 for i in range(2, n) if n % i == 0]) &gt; 0\n\nprint(p(11))\n# Output: True<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644 \u0628\u0647 \u0631\u0648\u0634 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc (Recursion)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u0631\u0648\u0634 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc\u060c \u062a\u0627\u0628\u0639 \u0628\u0647 \u062c\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062d\u0644\u0642\u0647 for \u06cc\u0627 while\u060c \u062e\u0648\u062f\u0634 \u0631\u0627 \u0628\u0627 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u06cc \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u0628\u0647 \u0634\u0631\u0637 \u067e\u0627\u06cc\u0647 \u0628\u0631\u0633\u062f. \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062c\u0630\u0631 \u0639\u062f\u062f \u062f\u0631 \u0634\u0631\u0648\u0639 \u06a9\u0627\u0631\u060c \u062a\u0627\u0628\u0639 sqrt \u0631\u0627 \u0628\u0627 <a href=\"https:\/\/maktabkhooneh.org\/mag\/import-in-python\/\">\u062f\u0633\u062a\u0648\u0631 import \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0627\u0632 \u0645\u0627\u0698\u0648\u0644 math \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2026\/11\/prime-numbers-in-python-1.jpg\" alt=\"\u067e\u0634\u062a\u0647 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u062a\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc prime \u0628\u0631\u0627\u06cc \u0639\u062f\u062f \u06f1\u06f3 \u0627\u0632 \u0645\u0642\u062f\u0627\u0631 i \u0628\u0631\u0627\u0628\u0631 \u06f3 \u062a\u0627 \u06f1 \u0628\u0627 \u062e\u0631\u0648\u062c\u06cc True\" title=\"\" width=\"800\" class=\"smush-dimensions lazyload\" style=\"--smush-image-width: 800px; --smush-image-aspect-ratio: 800\/597;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\"><\/figure>\n\n\n\n<pre class=\"wp-block-code\"><code>from math import sqrt\n\ndef prime(n, i):\n    if n &lt;= 1:\n        return False\n    if i == 1:\n        return True\n    if n % i == 0:\n        return False\n    return prime(n, i - 1)\n\nn = 13\nprint(prime(n, int(sqrt(n))))\n# Output: True<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0627\u0628\u0639 \u062f\u0631 \u0627\u0648\u0644\u06cc\u0646 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc\u060c \u0645\u0642\u062f\u0627\u0631 n \u0648 \u0628\u062e\u0634 \u0635\u062d\u06cc\u062d \u062c\u0630\u0631 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647 i \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06af\u0631 n \u0628\u0631 i \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f\u060c \u062a\u0627\u0628\u0639 False \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f. \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a\u060c \u062f\u0648\u0628\u0627\u0631\u0647 \u062e\u0648\u062f\u0634 \u0631\u0627 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 i &#8211; 1 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06af\u0631 i \u0628\u0647 \u06f1 \u0628\u0631\u0633\u062f \u0648 \u0647\u06cc\u0686 \u0645\u0642\u0633\u0648\u0645\u200c\u0639\u0644\u06cc\u0647\u06cc \u067e\u06cc\u062f\u0627 \u0646\u0634\u0648\u062f\u060c \u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a \u0648 \u062a\u0627\u0628\u0639 \u0645\u0642\u062f\u0627\u0631 True \u0631\u0627 \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f.<\/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\t   \u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637\n  <\/div>\n  <img fetchpriority=\"high\" decoding=\"async\" width=\"300\" height=\"171\" src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2023\/08\/getimg_ai_img-XBmwcfyvJ1DtYtcIeMt8y-300x171.jpeg\" class=\"attachment-medium size-medium wp-post-image\" alt=\"\u062a\u0648\u0627\u0628\u0639 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\" 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\" sizes=\"(max-width: 300px) 100vw, 300px\" title=\"\">\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 \u0622\u0645\u0627\u062f\u0647 SymPy<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u062f\u0631 \u067e\u0631\u0648\u0698\u0647\u200c\u0627\u06cc \u0639\u0644\u0645\u06cc \u06cc\u0627 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f \u0648 \u0628\u0647 \u0646\u0648\u0634\u062a\u0646 \u062f\u0633\u062a\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0646\u06cc\u0627\u0632 \u0646\u062f\u0627\u0631\u06cc\u062f\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 sympy \u062a\u0627\u0628\u0639 \u0622\u0645\u0627\u062f\u0647 \u0648 \u0628\u0647\u06cc\u0646\u0647\u200c\u0627\u06cc \u0628\u0647 \u0646\u0627\u0645 isprime \u062f\u0631 \u0627\u062e\u062a\u06cc\u0627\u0631 \u0634\u0645\u0627 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u062f\u0647\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from sympy import isprime\n\nn = 13\nprint(isprime(n))\n# Output: True<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u062f\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 SymPy \u0628\u0627\u06cc\u062f \u0627\u0632 \u0642\u0628\u0644 \u0628\u0627 \u062f\u0633\u062a\u0648\u0631 pip install sympy \u062f\u0631 \u0645\u062d\u06cc\u0637 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0634\u062f\u0647 \u0628\u0627\u0634\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0686\u0627\u067e \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 (\u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0647 \u06cc\u0627 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 n)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u06af\u0627\u0647\u06cc \u0647\u062f\u0641 \u0628\u0631\u0646\u0627\u0645\u0647\u060c \u0628\u0647 \u062c\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f \u062e\u0627\u0635\u060c \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0648 \u0686\u0627\u067e \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06cc\u06a9 \u0645\u062d\u062f\u0648\u062f\u0647 \u0645\u0634\u062e\u0635 \u06cc\u0627 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 [\u0641\u0631\u0645\u0648\u0644] \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u062f\u0648 \u0631\u0648\u0634 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0622\u0646\u200c\u0647\u0627 \u0628\u0647 \u0628\u0632\u0631\u06af\u06cc \u0628\u0627\u0632\u0647 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0686\u0627\u067e \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0647 \u0645\u0634\u062e\u0635 \u0628\u0627 \u062d\u0644\u0642\u0647\u200c\u0647\u0627\u06cc \u062a\u0648\u062f\u0631\u062a\u0648<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u06cc\u0646 \u062f\u0648 \u0639\u062f\u062f\u060c \u0645\u062b\u0644\u0627\u064b \u0627\u0632 \u06f9\u06f0\u06f0 \u062a\u0627 \u06f1\u06f0\u06f0\u06f0\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062f\u0648 \u062d\u0644\u0642\u0647 for \u062a\u0648\u062f\u0631\u062a\u0648 \u0628\u0646\u0648\u06cc\u0633\u06cc\u0645. \u062d\u0644\u0642\u0647 \u0628\u06cc\u0631\u0648\u0646\u06cc \u0627\u0639\u062f\u0627\u062f \u0628\u0627\u0632\u0647 \u0631\u0627 \u067e\u06cc\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u062d\u0644\u0642\u0647 \u062f\u0631\u0648\u0646\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u0647\u0631 \u0639\u062f\u062f \u0631\u0627 \u0645\u06cc\u200c\u0633\u0646\u062c\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>lower = 900\nupper = 1000\n\nprint(\"Prime numbers between\", lower, \"and\", upper, \"are:\")\n\nfor num in range(lower, upper + 1):\n    if num &gt; 1:\n        for i in range(2, int(num  0.5) + 1):\n            if (num % i) == 0:\n                break\n        else:\n            print(num)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0628\u0627\u0632\u0647 \u0631\u0627 \u0628\u0647 \u062c\u0627\u06cc \u0686\u0627\u067e \u0645\u0633\u062a\u0642\u06cc\u0645 \u062f\u0631 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u062f\u0631 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u06a9\u062f \u0631\u0627 \u062f\u0631 \u0642\u0627\u0644\u0628 \u062f\u0648 \u062a\u0627\u0628\u0639 \u062c\u062f\u0627 \u0628\u0646\u0648\u06cc\u0633\u06cc\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>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\ndef find_primes_in_range(lower, upper):\n    primes = &#91;]\n    for num in range(lower, upper + 1):\n        if is_prime(num):\n            primes.append(num)\n    return primes\n\nprint(find_primes_in_range(10, 50))\n# Output: &#91;11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]<\/code><\/pre>\n\n\n<div class=\"jet-listing-grid--50121\" style=\"\"><div class=\"jet-listing-dynamic-field-block zht-maktab-khooneh-course cb-fb2qc30r\"data-is-block=\"jet-engine\/dynamic-field\"><div class=\"jet-listing-dynamic-field__content\" >\n<div class=\"course-card\">\n            <div class=\"course-card-img\">\n            <img decoding=\"async\" \n                data-src=\"https:\/\/media1.maktabkhooneh.org\/CACHE\/images\/courses\/images\/msg384250343-971368\/7b3ca8c933671704be433020ec26729d.webp?expire=4893471932&#038;token=e782ed431cbad853750f12962d2d19ca&#038;md5=54LtQxy62FN1DxKWLS0Zyg==\" \n                alt=\"\u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639 \u067e\u0627\u06cc\u062a\u0648\u0646\" \n                title=\"\u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639 \u067e\u0627\u06cc\u062a\u0648\u0646\" \n               \n             src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\">\n        <\/div>\n    \n    <div class=\"course-details\">\n        <a href=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-%D8%AC%D8%A7%D9%85%D8%B9-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-%D9%85%D9%82%D8%AF%D9%85%D8%A7%D8%AA%DB%8C-%D9%BE%DB%8C%D8%B4%D8%B1%D9%81%D8%AA%D9%87-mk5482\/\" class=\"course-title\" target=\"_blank\" rel=\"noopener noreferrer\">\n            \u0622\u0645\u0648\u0632\u0634 \u062c\u0627\u0645\u0639 \u067e\u0627\u06cc\u062a\u0648\u0646        <\/a>\n\n        <div class=\"course-price\">\n            \n                <span class=\"real-price\">\n                                            799,000                                    <\/span>\n\n                <span>\n                    <span class=\"discounted-price\">\n                        439,450                    <\/span>\n                    <span class=\"price-currency\">\u062a\u0648\u0645\u0627\u0646<\/span>\n                <\/span>\n\n                                    <div class=\"discount-percentage\">\n                        45%                    <\/div>\n                \n                    <\/div>\n        <button class=\"course-cta-button\" data-course-url=\"https:\/\/maktabkhooneh.org\/course\/%D8%A2%D9%85%D9%88%D8%B2%D8%B4-%D8%AC%D8%A7%D9%85%D8%B9-%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86-%D9%85%D9%82%D8%AF%D9%85%D8%A7%D8%AA%DB%8C-%D9%BE%DB%8C%D8%B4%D8%B1%D9%81%D8%AA%D9%87-mk5482\/\">\n            \u0645\u0634\u0627\u0647\u062f\u0647 \u0648 \u062e\u0631\u06cc\u062f        <\/button>\n    <\/div>\n<\/div>\n<\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u0628\u0631\u0646\u0627\u0645\u0647 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 n \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u06cc\u0627 \u0645\u0633\u0627\u0648\u06cc \u06cc\u06a9 \u0639\u062f\u062f \u0645\u0634\u062e\u0635 ( [\u0641\u0631\u0645\u0648\u0644] )\u060c \u0628\u0631\u0631\u0633\u06cc \u062a\u06a9\u200c\u062a\u06a9 \u0627\u0639\u062f\u0627\u062f \u0628\u0627 \u062d\u0644\u0642\u0647 \u06a9\u0646\u062f \u0627\u0633\u062a. \u00ab\u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646\u00bb (Sieve of Eratosthenes) \u06cc\u06a9\u06cc \u0627\u0632 \u0633\u0631\u06cc\u0639\u200c\u062a\u0631\u06cc\u0646 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647 \u062c\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0628\u062e\u0634\u200c\u067e\u0630\u06cc\u0631\u06cc \u0647\u0631 \u0639\u062f\u062f\u060c \u0645\u0636\u0627\u0631\u0628 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u062d\u0630\u0641 \u0645\u06cc\u200c\u06a9\u0646\u062f:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2026\/11\/prime-numbers-in-python-6.jpg\" alt=\"\u06a9\u062f \u0648 \u062e\u0631\u0648\u062c\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 \u06f5\u06f0\" title=\"\" width=\"800\" class=\"smush-dimensions lazyload\" style=\"--smush-image-width: 800px; --smush-image-aspect-ratio: 800\/447;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\"><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f \u06f0 \u062a\u0627 [\u0641\u0631\u0645\u0648\u0644] \u062f\u0631 \u0646\u0638\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u06cc\u0645 \u0648 \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0647\u0645\u0647 \u0622\u0646\u200c\u0647\u0627 \u0627\u0648\u0644 \u0647\u0633\u062a\u0646\u062f (True).<\/li>\n\n\n\n<li>\u0627\u0639\u062f\u0627\u062f \u06f0 \u0648 \u06f1 \u0631\u0627 \u062e\u0637 \u0645\u06cc\u200c\u0632\u0646\u06cc\u0645 (False).<\/li>\n\n\n\n<li>\u0627\u0632 \u0639\u062f\u062f \u06f2 \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u062e\u0648\u062f \u06f2 \u0627\u0648\u0644 \u0627\u0633\u062a\u060c \u0627\u0645\u0627 \u062a\u0645\u0627\u0645 \u0645\u0636\u0627\u0631\u0628 \u0622\u0646\u060c \u06cc\u0639\u0646\u06cc \u06f4\u060c \u06f6\u060c \u06f8 \u0648&#8230; \u0631\u0627 \u062e\u0637 \u0645\u06cc\u200c\u0632\u0646\u06cc\u0645.<\/li>\n\n\n\n<li>\u0639\u062f\u062f \u062e\u0637\u200c\u0646\u062e\u0648\u0631\u062f\u0647 \u0628\u0639\u062f\u06cc\u060c \u06cc\u0639\u0646\u06cc \u06f3\u060c \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0648 \u062a\u0645\u0627\u0645 \u0645\u0636\u0627\u0631\u0628 \u0622\u0646 \u0631\u0627 \u0627\u0632 \u062c\u062f\u0648\u0644 \u062d\u0630\u0641 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/li>\n\n\n\n<li>\u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u062a\u0627 \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u062c\u0630\u0631 \u0639\u062f\u062f [\u0641\u0631\u0645\u0648\u0644] \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u062a\u0645\u0627\u0645 \u0627\u0639\u062f\u0627\u062f\u06cc \u06a9\u0647 \u062f\u0631 \u067e\u0627\u06cc\u0627\u0646 \u062e\u0637 \u0646\u062e\u0648\u0631\u062f\u0647 \u0628\u0627\u0642\u06cc \u0628\u0645\u0627\u0646\u0646\u062f\u060c \u0627\u0648\u0644 \u0647\u0633\u062a\u0646\u062f.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0647 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u0627\u0633\u062a:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def sieve_of_eratosthenes(max_num):\n    primes = &#91;]\n    is_prime = &#91;True] * (max_num + 1)\n    is_prime&#91;0] = is_prime&#91;1] = False\n\n    for num in range(2, int(max_num  0.5) + 1):\n        if is_prime&#91;num]:\n            for multiple in range(num * num, max_num + 1, num):\n                is_prime&#91;multiple] = False\n\n    for num in range(2, max_num + 1):\n        if is_prime&#91;num]:\n            primes.append(num)\n\n    return primes\n\nmax_number = 50\nprimes_list = sieve_of_eratosthenes(max_number)\nprint(f\"Prime numbers up to {max_number}: {primes_list}\")\n# Output: Prime numbers up to 50: &#91;2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062d\u0644\u0642\u0647 \u062f\u0627\u062e\u0644\u06cc\u060c \u062e\u0637 \u0632\u062f\u0646 \u0645\u0636\u0627\u0631\u0628 \u0647\u0631 \u0639\u062f\u062f \u0631\u0627 \u0627\u0632 num * num \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0632\u06cc\u0631\u0627 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0642\u0628\u0644\u06cc\u060c \u0645\u0636\u0627\u0631\u0628 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0631\u0627 \u0642\u0628\u0644\u0627\u064b \u062e\u0637 \u0632\u062f\u0647\u200c\u0627\u0646\u062f. \u067e\u0633 \u0627\u0632 \u067e\u0627\u06cc\u0627\u0646 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0631 \u0627\u0646\u062f\u06cc\u0633\u06cc \u0631\u0627 \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0622\u0646 \u062f\u0631 \u0644\u06cc\u0633\u062a \u0628\u0648\u0644\u06cc\u0646 \u0647\u0645\u0686\u0646\u0627\u0646 True \u0627\u0633\u062a\u060c \u0628\u0627 <a href=\"https:\/\/maktabkhooneh.org\/mag\/append-in-python\/\">\u0645\u062a\u062f append \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0628\u0647 \u0644\u06cc\u0633\u062a \u0646\u0647\u0627\u06cc\u06cc primes \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0627\u06cc\u0646 \u0644\u06cc\u0633\u062a \u0631\u0627 \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0646\u06a9\u0627\u062a \u062a\u06a9\u0645\u06cc\u0644\u06cc \u0628\u0631\u0627\u06cc \u0628\u0647\u0628\u0648\u062f \u0648 \u062a\u0633\u062a \u06a9\u062f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u062a\u0634\u062e\u06cc\u0635 \u0639\u062f\u062f \u0627\u0648\u0644 \u062f\u0631 \u067e\u0631\u0648\u0698\u0647\u200c\u0647\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u062f\u0631\u0633\u062a \u06a9\u0627\u0631 \u06a9\u0646\u062f \u0648 \u0628\u0627 \u062e\u0637\u0627 \u0645\u0648\u0627\u062c\u0647 \u0646\u0634\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0627\u06cc\u0646 \u0686\u0647\u0627\u0631 \u0646\u06a9\u062a\u0647 \u0631\u0627 \u0631\u0639\u0627\u06cc\u062a \u06a9\u0646\u06cc\u062f:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0645\u062a\u0646\u0627\u0633\u0628 \u0628\u0627 \u0646\u06cc\u0627\u0632 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f. \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f\u060c \u062a\u0627\u0628\u0639 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u062c\u0630\u0631 \u06cc\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 [\u0641\u0631\u0645\u0648\u0644] \u0645\u0646\u0627\u0633\u0628\u200c\u062a\u0631\u06cc\u0646 \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0633\u062a. \u0627\u06af\u0631 \u0628\u0647 \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u062a\u0627 \u0633\u0642\u0641 \u0645\u0634\u062e\u0635\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u062f\u060c \u0627\u0632 \u063a\u0631\u0628\u0627\u0644 \u0627\u0631\u0627\u062a\u0648\u0633\u062a\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u062c\u0630\u0631 \u0628\u0631\u0627\u06cc \u062a\u06a9\u200c\u062a\u06a9 \u0627\u0639\u062f\u0627\u062f \u062a\u06a9\u0631\u0627\u0631 \u0646\u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u062f\u0631 \u067e\u0631\u0648\u0698\u0647\u200c\u0647\u0627\u06cc \u0639\u0645\u0644\u06cc\u060c \u062e\u0631\u0648\u062c\u06cc \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0628\u0631\u06af\u0631\u062f\u0627\u0646\u06cc\u062f. \u0628\u0647 \u062c\u0627\u06cc \u0686\u0627\u067e \u0645\u0633\u062a\u0642\u06cc\u0645 \u0639\u0628\u0627\u0631\u062a \u00ab\u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a\u00bb \u0628\u0627 print\u060c \u062a\u0627\u0628\u0639 \u0628\u0627\u06cc\u062f \u0645\u0642\u062f\u0627\u0631 \u0628\u0648\u0644\u06cc\u0646 (True\/False) \u06cc\u0627 \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0631\u0627 \u0628\u0631\u06af\u0631\u062f\u0627\u0646\u062f \u062a\u0627 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u06a9\u062f \u0628\u062a\u0648\u0627\u0646\u0646\u062f \u0622\u0646 \u0631\u0627 \u067e\u0631\u062f\u0627\u0632\u0634 \u06a9\u0646\u0646\u062f.<\/li>\n\n\n\n<li>\u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627 \u0648 \u0645\u0648\u0627\u0631\u062f \u062e\u0627\u0635 \u0631\u0627 \u067e\u06cc\u0634 \u0627\u0632 \u0648\u0631\u0648\u062f \u0628\u0647 \u062d\u0644\u0642\u0647 \u0627\u0635\u0644\u06cc \u0645\u062f\u06cc\u0631\u06cc\u062a \u06a9\u0646\u06cc\u062f. \u06a9\u062f \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627\u06cc \u0646\u0627\u0645\u0646\u0627\u0633\u0628\u060c \u0645\u0627\u0646\u0646\u062f \u0627\u0639\u062f\u0627\u062f \u0645\u0646\u0641\u06cc\u060c \u0635\u0641\u0631\u060c \u06cc\u06a9 \u06cc\u0627 \u0631\u0634\u062a\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u0646\u06cc \u062f\u0631 input\u060c \u0627\u06cc\u0645\u0646 \u0628\u0627\u0634\u062f.<\/li>\n\n\n\n<li>\u067e\u0633 \u0627\u0632 \u0646\u0648\u0634\u062a\u0646 \u062a\u0627\u0628\u0639\u060c \u0628\u0627 \u062a\u0633\u062a \u0648\u0627\u062d\u062f (Unit Testing) \u0639\u0645\u0644\u06a9\u0631\u062f \u0622\u0646 \u0631\u0627 \u062c\u062f\u0627\u06af\u0627\u0646\u0647 \u0622\u0632\u0645\u0627\u06cc\u0634 \u06a9\u0646\u06cc\u062f. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0645\u0631\u0632\u06cc \u0648 \u0686\u0627\u0644\u0634\u200c\u0628\u0631\u0627\u0646\u06af\u06cc\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f: \u0639\u062f\u062f 1\u060c \u0639\u062f\u062f \u063a\u06cc\u0631\u0627\u0648\u0644 \u0645\u0631\u0632\u06cc\u061b \u0639\u062f\u062f 2\u060c \u062a\u0646\u0647\u0627 \u0639\u062f\u062f \u0627\u0648\u0644 \u0632\u0648\u062c\u061b \u0639\u062f\u062f 4\u060c \u0628\u0631\u0627\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0635\u062d\u062a \u0628\u0627\u0632\u0647 range\u061b \u0648 \u0639\u062f\u062f 25\u060c \u0627\u0648\u0644\u06cc\u0646 \u0639\u062f\u062f \u0645\u0631\u06a9\u0628 \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 [\u0641\u0631\u0645\u0648\u0644] \u06a9\u0647 \u0645\u0636\u0631\u0628 \u06f5 \u0627\u0633\u062a. \u0622\u0632\u0645\u0627\u06cc\u0634 \u0627\u06cc\u0646 \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627 \u062e\u0637\u0627\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc \u06a9\u062f \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0642\u0635\u062f \u062f\u0627\u0631\u06cc\u062f \u0645\u0641\u0627\u0647\u06cc\u0645 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc\u060c \u0633\u0627\u062e\u062a\u0645\u0627\u0646 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0648 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0633\u0627\u062e\u062a\u0627\u0631\u06cc\u0627\u0641\u062a\u0647 \u0648 \u067e\u0631\u0648\u0698\u0647\u200c\u0645\u062d\u0648\u0631 \u062f\u0646\u0628\u0627\u0644 \u06a9\u0646\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0622\u0645\u0648\u0632\u0634\u200c\u0647\u0627\u06cc \u062a\u062e\u0635\u0635\u06cc \u0645\u06a9\u062a\u0628\u200c\u062e\u0648\u0646\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" data-src=\"https:\/\/maktabkhooneh.org\/mag\/wp-content\/uploads\/2026\/11\/prime-numbers-in-python-5.png\" alt=\"\u0646\u0645\u0627\u06cc\u0634 \u06a9\u062f \u062a\u0627\u0628\u0639 isPrime \u0648 \u067e\u0631\u0634\u200c\u0647\u0627\u06cc \u06f6 \u062a\u0627\u06cc\u06cc \u0631\u0648\u06cc \u062c\u0641\u062a \u0627\u0639\u062f\u0627\u062f \u06f5 \u0648 \u06f7 \u062a\u0627 \u06f1\u06f7 \u0648 \u06f1\u06f9 \u062f\u0631 \u0646\u0648\u062a\u200c\u0628\u0648\u06a9 \u067e\u0627\u06cc\u062a\u0648\u0646\" title=\"\" width=\"800\" class=\"smush-dimensions lazyload\" style=\"--smush-image-width: 800px; --smush-image-aspect-ratio: 800\/450;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">&#8212;&#8212;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0628\u0631\u0631\u0633\u06cc \u0627\u0648\u0644 \u0628\u0648\u062f\u0646 \u06cc\u06a9 \u0639\u062f\u062f \u062f\u0631 \u0638\u0627\u0647\u0631 \u0645\u0633\u0626\u0644\u0647\u200c\u0627\u06cc \u0633\u0627\u062f\u0647 \u0627\u0633\u062a \u0648 \u0628\u0631\u0627\u06cc \u062a\u0642\u0648\u06cc\u062a \u062a\u0641\u06a9\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u062f\u0631\u06a9 \u0645\u0646\u0637\u0642 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0627\u0647\u0645\u06cc\u062a \u0632\u06cc\u0627\u062f\u06cc \u062f\u0627\u0631\u062f. \u0627\u0639\u062f\u0627\u062f 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[&hellip;]<\/p>\n","protected":false},"author":93,"featured_media":70713,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-70714","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python-articles"],"_links":{"self":[{"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/posts\/70714","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/users\/93"}],"replies":[{"embeddable":true,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/comments?post=70714"}],"version-history":[{"count":1,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/posts\/70714\/revisions"}],"predecessor-version":[{"id":70835,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/posts\/70714\/revisions\/70835"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/media\/70713"}],"wp:attachment":[{"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/media?parent=70714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/categories?post=70714"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maktabkhooneh.org\/mag\/wp-json\/wp\/v2\/tags?post=70714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}