{"id":117575,"date":"2026-05-07T17:21:12","date_gmt":"2026-05-07T11:51:12","guid":{"rendered":"https:\/\/www.mygreatlearning.com\/blog\/?page_id=117575"},"modified":"2026-05-07T17:19:43","modified_gmt":"2026-05-07T11:49:43","slug":"python-program-prime-number-generator","status":"publish","type":"page","link":"https:\/\/www.mygreatlearning.com\/blog\/python-exercise\/python-program-prime-number-generator\/","title":{"rendered":"Python Program Prime Number Generator"},"content":{"rendered":"\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"UTF-8\" \/>\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\" \/>\n  <title>Exercise 6.2<\/title>\n  <link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/codemirror\/5.65.16\/codemirror.min.css\" \/>\n<link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/codemirror\/5.65.16\/theme\/eclipse.min.css\" \/>\n<link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/font-awesome\/6.4.0\/css\/all.min.css\">\n\n<style>\n    \/* Wrapper to protect styles *\/\n    .py-receipt-wrapper {\n        \/* Local CSS Variables *\/\n        --py-bg-app: #f9fafb;\n        --py-bg-panel: #ffffff;\n        --py-border: #e5e7eb;\n        --py-text-primary: #1f2937;\n        --py-text-secondary: #6b7280;\n        --py-primary-blue: #2563eb;\n        --py-primary-hover: #1d4ed8;\n        --py-header-height: 50px;\n        --py-footer-height: 60px;\n\n        font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, sans-serif;\n        background-color: var(--py-bg-app);\n        color: var(--py-text-primary);\n        width: 100%;\n        border: 1px solid var(--py-border);\n        box-sizing: border-box;\n    }\n\n    .py-receipt-wrapper * { box-sizing: border-box; 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}\n        \n        \/* Order 5: Output Area *\/\n        .py-receipt-output-wrapper {\n            order: 5;\n            width: 100%;\n            height: auto;\n            min-height: 300px;\n            max-height: 500px;\n            border-right: none;\n            background: #fff;\n        }\n\n        \/* Order 6: Navigation (Next\/Prev) - Bottom of screen *\/\n        \/* Show the mobile buttons *\/\n        .py-receipt-btn-mobile {\n            display: inline-flex !important;\n            order: 6;\n            width: 48%; \/* Sit side by side *\/\n            margin: 15px 1%;\n            box-sizing: border-box;\n            text-align: center;\n        }\n        \n        \/* Handle links that are hidden via JS logic *\/\n        a.py-receipt-hidden { display: none !important; }\n    }\n<\/style>\n\n<\/head>\n\n<body>\n\n<div class=\"py-receipt-wrapper\">\n    <div class=\"py-receipt-top-nav\">\n        <a id=\"py-receipt-btn-prev-top\" class=\"py-receipt-btn py-receipt-btn-secondary py-receipt-hidden\" href=\"\">&larr; Previous<\/a>\n        <span class=\"py-receipt-nav-title\">Module 6: Functions<\/span>\n        <a id=\"py-receipt-btn-next-top\" class=\"py-receipt-btn py-receipt-btn-primary py-receipt-hidden\" href=\"\">Next &rarr;<\/a>\n    <\/div>\n\n    <div class=\"py-receipt-ide-container\" id=\"py-receipt-ideContainer\">\n        \n        <div class=\"py-receipt-left-pane\">\n            <div class=\"py-receipt-tabs-header\">\n                <div class=\"py-receipt-tab-item active\" onclick=\"pyReceiptSwitchTab('statement')\">Statement<\/div>\n                <div class=\"py-receipt-tab-item\" onclick=\"pyReceiptSwitchTab('solution')\">Solution<\/div>\n            <\/div>\n\n            <div id=\"py-receipt-tab-statement\" class=\"py-receipt-pane-content active\">\n                <h1 id=\"python-exercise-6-2-prime-number-generator\">Python Exercise 6.2: Prime Number Generator<\/h1>\n                <p>Write a function that returns a list of all prime numbers up to n.<\/p>\n                <p>Your program should:<\/p>\n                <ul>\n                    <li>Define a function <code>get_primes(n)<\/code> that returns a list of primes \u2264 n.<\/li>\n                    <li>Use a loop to check divisibility.<\/li>\n                    <li>Test with user input for n.<\/li>\n                <\/ul>\n\n                <h3 id=\"sample-interaction\">Sample Interaction:<\/h3>\n                <div class=\"py-receipt-sample-box\">\n                    <div class=\"py-receipt-sample-header\">\n                        <div class=\"py-receipt-sample-col-title\">Input<\/div>\n                        <div class=\"py-receipt-sample-col-title\">Output<\/div>\n                    <\/div>\n                    <div class=\"py-receipt-sample-body\">\n                        <div class=\"py-receipt-sample-col-content\">10<\/div>\n                        <div class=\"py-receipt-sample-col-content\">[2, 3, 5, 7]<\/div>\n                    <\/div>\n                <\/div>\n            <\/div>\n\n            <div id=\"py-receipt-tab-solution\" class=\"py-receipt-pane-content\">\n                <h1 id=\"solution\">Solution<\/h1>\n                <p>Here is one way to generate prime numbers using a function.<\/p>\n                <div class=\"py-receipt-solution-block\">def get_primes(n):\n    primes = []\n    for num in range(2, n+1):\n        is_prime = True\n        for i in range(2, int(num**0.5) + 1):\n            if num % i == 0:\n                is_prime = False\n                break\n        if is_prime:\n            primes.append(num)\n    return primes\n\n# Test the function\nn = int(input(\"Enter n: \"))\nprint(get_primes(n))<\/div>\n                \n                <p style=\"margin-top:20px\"><strong>Key Concepts:<\/strong><\/p>\n                <ul>\n                    <li>Functions can return lists.<\/li>\n                    <li>Nested loops for checking primality.<\/li>\n                    <li><code>range(2, int(num**0.5) + 1)<\/code> optimizes the check.<\/li>\n                <\/ul>\n            <\/div>\n        <\/div>\n\n        <div class=\"py-receipt-right-pane\">\n            <div class=\"py-receipt-editor-top-bar\">\n                <span class=\"py-receipt-lang-label\">Python 3<\/span>\n                <div class=\"py-receipt-editor-settings\">\n                    <i class=\"fas fa-expand\" id=\"py-receipt-fullscreenBtn\" title=\"Toggle Fullscreen\"><\/i>\n                <\/div>\n            <\/div>\n\n            <div class=\"py-receipt-code-area\">\n                <div id=\"py-receipt-code-editor-div\"><\/div>\n            <\/div>\n\n            <div class=\"py-receipt-console-section\">\n                <div class=\"py-receipt-console-header\">Test Console<\/div>\n                <div class=\"py-receipt-console-body\">\n                    <div class=\"py-receipt-input-wrapper\">\n                        <label class=\"py-receipt-console-label\">Custom Input (Stdin)<\/label>\n                        <textarea id=\"py-receipt-custom-input\" class=\"py-receipt-custom-input-area\" placeholder=\"Enter input here...\">10<\/textarea>\n                    <\/div>\n                    <div class=\"py-receipt-output-wrapper\">\n                        <label class=\"py-receipt-console-label\">Output<\/label>\n                        <div id=\"py-receipt-output-console\" class=\"py-receipt-output-display\">Run code to see output...<\/div>\n                    <\/div>\n                <\/div>\n            <\/div>\n\n            <div class=\"py-receipt-footer-actions\">\n                <a id=\"py-receipt-btn-prev-mobile\" class=\"py-receipt-btn py-receipt-btn-secondary py-receipt-hidden py-receipt-btn-mobile\" href=\"\">&larr; Previous<\/a>\n\n                <div class=\"py-receipt-execution-group\">\n                    <button class=\"py-receipt-btn py-receipt-btn-secondary\" onclick=\"pyReceiptResetCode()\">Reset<\/button>\n                    \n                    <button class=\"py-receipt-btn py-receipt-btn-primary\" onclick=\"pyReceiptRunCode()\">\n                        <span id=\"py-receipt-btn-text\">Run Code<\/span>\n                        <span class=\"py-receipt-spinner\" id=\"py-receipt-btn-spinner\"><\/span>\n                    <\/button>\n                <\/div>\n\n                <a id=\"py-receipt-btn-next-mobile\" class=\"py-receipt-btn py-receipt-btn-primary py-receipt-hidden py-receipt-btn-mobile\" href=\"\">Next &rarr;<\/a>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/codemirror\/5.65.16\/codemirror.min.js\"><\/script>\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/codemirror\/5.65.16\/mode\/python\/python.min.js\"><\/script>\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/codemirror\/5.65.16\/addon\/edit\/closebrackets.min.js\"><\/script>\n\n<script>\n    \/\/ Global variable for this specific exercise to allow inline HTML clicks\n    var pyReceiptEditor; 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Your program should: Define a function get_primes(n) that returns a list of primes \u2264 n. Use a loop to check divisibility. 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