{"id":364010,"date":"2024-08-01T14:14:39","date_gmt":"2024-08-01T13:14:39","guid":{"rendered":"https:\/\/ypsilon.dev\/ar\/blog\/%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-sieve-of-eratosthenes-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a\/"},"modified":"2024-08-01T14:14:39","modified_gmt":"2024-08-01T13:14:39","slug":"%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-sieve-of-eratosthenes-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a","status":"publish","type":"post","link":"https:\/\/ypsilon.dev\/ar\/%d9%85%d8%a7%d8%b0%d8%a7-%d9%8a%d8%b9%d9%86%d9%8a-sieve-of-eratosthenes-%d9%81%d9%8a-%d9%85%d8%ac%d8%a7%d9%84-%d8%a7%d9%84%d8%ae%d9%88%d8%a7%d8%b1%d8%b2%d9%85%d9%8a%d8%a7%d8%aa-%d9%88%d9%87%d9%8a\/","title":{"rendered":"\u0645\u0627\u0630\u0627 \u064a\u0639\u0646\u064a sieve of Eratosthenes \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a"},"content":{"rendered":"<h2><strong>\u0645\u0639\u0646\u0649 Sieve of Eratosthenes \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/h2>\n<p>\u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u064a\u0639\u062f Sieve of Eratosthenes \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0623\u0642\u062f\u0645 \u0648\u0623\u0634\u0647\u0631 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u062d\u062a\u0649 \u0639\u062f\u062f \u0645\u0639\u064a\u0646. \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0646\u0633\u0628 \u0625\u0644\u0649 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0625\u063a\u0631\u064a\u0642\u064a \u0625\u0631\u0627\u062a\u0648\u0633\u062a\u064a\u0646\u0633\u060c \u0648\u0647\u064a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0641\u0643\u0631\u0629 \u0628\u0633\u064a\u0637\u0629 \u0644\u0643\u0646\u0647\u0627 \u0641\u0639\u0627\u0644\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 \u0641\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u0646\u0647\u062c\u064a\u0629.<\/p>\n<h3><strong>\u0645\u0627 \u0647\u0648 Sieve of Eratosthenes\u061f<\/strong><\/h3>\n<p>Sieve of Eratosthenes \u0647\u0648 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u062d\u062a\u0649 \u0639\u062f\u062f \u0645\u0639\u064a\u0646 n. \u062a\u0639\u062a\u0645\u062f \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0639\u0644\u0649 \u0625\u0632\u0627\u0644\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u063a\u064a\u0631 \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u062a\u0643\u0631\u0631\u0629 \u0648\u0645\u0646\u0647\u062c\u064a\u0629 \u062d\u062a\u0649 \u062a\u0628\u0642\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0641\u0642\u0637.<\/p>\n<h3><strong>\u0643\u064a\u0641 \u064a\u0639\u0645\u0644 Sieve of Eratosthenes\u061f<\/strong><\/h3>\n<p>\u062a\u0639\u0645\u0644 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Sieve of Eratosthenes \u0639\u0628\u0631 \u062e\u0637\u0648\u0627\u062a \u0628\u0633\u064a\u0637\u0629 \u062a\u062a\u0636\u0645\u0646:<\/p>\n<ul>\n<li>\u0625\u0646\u0634\u0627\u0621 \u0642\u0627\u0626\u0645\u0629 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0645\u0646 2 \u0625\u0644\u0649 n.<\/li>\n<li>\u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0623\u0648\u0644\u064a \u0627\u0644\u0623\u0648\u0644 (2)\u060c \u064a\u062a\u0645 \u0625\u0632\u0627\u0644\u0629 \u062c\u0645\u064a\u0639 \u0645\u0636\u0627\u0639\u0641\u0627\u062a\u0647 \u0645\u0646 \u0627\u0644\u0642\u0627\u0626\u0645\u0629.<\/li>\n<li>\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0623\u0648\u0644\u064a \u0627\u0644\u062a\u0627\u0644\u064a (3) \u0648\u062a\u0643\u0631\u0627\u0631 \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/li>\n<li>\u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0628\u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u062d\u062a\u0649 \u064a\u062a\u0645 \u0645\u0639\u0627\u0644\u062c\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u0644\u0642\u0627\u0626\u0645\u0629.<\/li>\n<\/ul>\n<h4><strong>\u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u064a \u0639\u0644\u0649 Sieve of Eratosthenes<\/strong><\/h4>\n<p>\u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 Sieve of Eratosthenes \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u064a \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u062d\u062a\u0649 \u0627\u0644\u0639\u062f\u062f 30:<\/p>\n<ol>\n<li>\u0646\u0628\u062f\u0623 \u0628\u0625\u0646\u0634\u0627\u0621 \u0642\u0627\u0626\u0645\u0629 \u0645\u0646 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0645\u0646 2 \u0625\u0644\u0649 30.<\/li>\n<li>\u0646\u0628\u062f\u0623 \u0628\u0627\u0644\u0639\u062f\u062f 2 \u0648\u0646\u0632\u064a\u0644 \u062c\u0645\u064a\u0639 \u0645\u0636\u0627\u0639\u0641\u0627\u062a\u0647 (4\u060c 6\u060c 8\u060c &#8230;).<\/li>\n<li>\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0647\u0648 3\u060c \u0646\u0632\u064a\u0644 \u062c\u0645\u064a\u0639 \u0645\u0636\u0627\u0639\u0641\u0627\u062a\u0647 (6\u060c 9\u060c 12\u060c &#8230;).<\/li>\n<li>\u0646\u0643\u0631\u0631 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0645\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f 5\u060c 7\u060c \u0648\u0647\u0643\u0630\u0627.<\/li>\n<\/ol>\n<p>\u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u062a\u0628\u0642\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0641\u0642\u0637 \u0641\u064a \u0627\u0644\u0642\u0627\u0626\u0645\u0629: 2\u060c 3\u060c 5\u060c 7\u060c 11\u060c 13\u060c 17\u060c 19\u060c 23\u060c \u064829.<\/p>\n<h3><strong>\u062a\u0637\u0628\u064a\u0642\u0627\u062a Sieve of Eratosthenes \u0641\u064a \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/h3>\n<p>\u062a\u0633\u062a\u062e\u062f\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Sieve of Eratosthenes \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644 \u0639\u0644\u0648\u0645 \u0627\u0644\u0643\u0645\u0628\u064a\u0648\u062a\u0631 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a:<\/p>\n<ul>\n<li><strong>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f:<\/strong> \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0628\u0631 \u0645\u0647\u0645\u0629 \u0641\u064a \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0648\u0627\u0644\u0623\u0645\u0627\u0646.<\/li>\n<li><strong>\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0623\u0639\u062f\u0627\u062f:<\/strong> \u062a\u0633\u0627\u0639\u062f \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0648\u062a\u0648\u0632\u064a\u0639\u0647\u0627.<\/li>\n<li><strong>\u0627\u0644\u062a\u0634\u0641\u064a\u0631:<\/strong> \u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0628\u0634\u0643\u0644 \u0648\u0627\u0633\u0639 \u0641\u064a \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0645\u062b\u0644 RSA.<\/li>\n<\/ul>\n<h3><strong>\u0627\u0644\u0623\u062f\u0627\u0621 \u0648\u0627\u0644\u0643\u0641\u0627\u0621\u0629<\/strong><\/h3>\n<p>\u062a\u0639\u062f \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Sieve of Eratosthenes \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0643\u0641\u0627\u0621\u0629 \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629\u060c \u062e\u0627\u0635\u0629 \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u063a\u064a\u0631\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u0629. \u064a\u0639\u0645\u0644 \u0628\u0643\u0641\u0627\u0621\u0629 \u0632\u0645\u0646\u064a\u0629 \u062a\u0628\u0644\u063a O(n log log n) \u0648\u0647\u064a \u0623\u0641\u0636\u0644 \u0645\u0646 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0628\u062f\u064a\u0644\u0629.<\/p>\n<h3><strong>\u062a\u062d\u0633\u064a\u0646\u0627\u062a \u0639\u0644\u0649 Sieve of Eratosthenes<\/strong><\/h3>\n<p>\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0643\u0641\u0627\u0621\u0629 Sieve of Eratosthenes\u060c \u0647\u0646\u0627\u0643 \u0628\u0639\u0636 \u0627\u0644\u062a\u062d\u0633\u064a\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642\u0647\u0627 \u0644\u062c\u0639\u0644\u0647\u0627 \u0623\u0643\u062b\u0631 \u0641\u0639\u0627\u0644\u064a\u0629:<\/p>\n<ul>\n<li><strong>Sieve of Atkin:<\/strong> \u0647\u0648 \u062a\u062d\u0633\u064a\u0646 \u064a\u0639\u0645\u0644 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644 \u0645\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0643\u0628\u064a\u0631\u0629.<\/li>\n<li><strong>Segmented Sieve:<\/strong> \u064a\u0642\u0633\u0645 \u0627\u0644\u0646\u0637\u0627\u0642 \u0625\u0644\u0649 \u0623\u0642\u0633\u0627\u0645 \u0635\u063a\u064a\u0631\u0629\u060c \u0645\u0645\u0627 \u064a\u0648\u0641\u0631 \u0630\u0627\u0643\u0631\u0629 \u0623\u0641\u0636\u0644.<\/li>\n<\/ul>\n<h3><strong>\u0627\u0644\u062e\u062a\u0627\u0645<\/strong><\/h3>\n<p>\u064a\u0639\u062f Sieve of Eratosthenes \u0623\u062f\u0627\u0629 \u0642\u0648\u064a\u0629 \u0648\u0641\u0639\u0627\u0644\u0629 \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629\u060c \u0648\u064a\u0644\u0639\u0628 \u062f\u0648\u0631\u064b\u0627 \u0647\u0627\u0645\u064b\u0627 \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a. \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u064a\u0645\u062a\u062f \u0639\u0628\u0631 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0644\u0627 \u063a\u0646\u0649 \u0639\u0646\u0647\u0627 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0648\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u0639\u0646\u0649 Sieve of Eratosthenes \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0648\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u064a\u0639\u062f Sieve of Eratosthenes \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0623\u0642\u062f\u0645 \u0648\u0623\u0634\u0647\u0631 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0644\u0627\u0643\u062a\u0634\u0627\u0641 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u062d\u062a\u0649 \u0639\u062f\u062f \u0645\u0639\u064a\u0646. \u0647\u0630\u0647 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u062a\u0646\u0633\u0628 \u0625\u0644\u0649 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0625\u063a\u0631\u064a\u0642\u064a \u0625\u0631\u0627\u062a\u0648\u0633\u062a\u064a\u0646\u0633\u060c \u0648\u0647\u064a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0641\u0643\u0631\u0629 \u0628\u0633\u064a\u0637\u0629 \u0644\u0643\u0646\u0647\u0627 \u0641\u0639\u0627\u0644\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 \u0641\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u0646\u0647\u062c\u064a\u0629. \u0645\u0627 \u0647\u0648 Sieve [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[304],"tags":[],"class_list":["post-364010","post","type-post","status-publish","format-standard","hentry","category-fast-facts"],"acf":[],"_links":{"self":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts\/364010","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/comments?post=364010"}],"version-history":[{"count":0,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/posts\/364010\/revisions"}],"wp:attachment":[{"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/media?parent=364010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/categories?post=364010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ypsilon.dev\/ar\/wp-json\/wp\/v2\/tags?post=364010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}