Added Cuban Prime Calculator (#603)

Rakesh9100 · Feb 24, 2024 · 3d843cb · 3d843cb
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diff --git a/Calculators/Cuban-Prime-Calculator/README.md b/Calculators/Cuban-Prime-Calculator/README.md
@@ -0,0 +1,24 @@
+# <p align="center">Cuban Prime Checker</p>
+
+## Description :-
+
+Cuban Prime Checker is a web application that allows users to identify and find Cuban prime numbers within a specified range.
+
+* Checks if a number is a Cuban prime.
+* Finds Cuban prime numbers within a specified range.
+
+## What is a Cuban Prime?
+
+A Cuban prime is a prime number that is a solution to the Diophantine equation x^3 + y^3 = z^3 + 1, where x, y, and z are positive integers. In other words, it's a special type of prime number related to the sum of cubes.
+
+For example, 2, 19, 37 are Cuban primes as they satisfy the mentioned Diophantine equation.
+
+## Tech Stacks :-
+
+- HTML
+- CSS
+- JavaScript
+
+
+## Screenshots :-
+![Cuban](https://github.com/Rakesh9100/CalcDiverse/assets/125949765/61d9e288-e8bd-4be2-8a09-babb2bac3f1b)
diff --git a/Calculators/Cuban-Prime-Calculator/index.html b/Calculators/Cuban-Prime-Calculator/index.html
@@ -0,0 +1,57 @@
+<!DOCTYPE html>
+<html lang="en">
+
+<head>
+    <meta charset="UTF-8">
+    <meta name="viewport" content="width=device-width, initial-scale=1.0">
+    <link rel="stylesheet" href="style.css">
+    <title>Cuban Prime Calculator</title>
+</head>
+
+<body>
+
+    <h1 class="title">Cuban Prime Calculator</h1>
+    <div class="information">
+        <h2>What is a Cuban Prime?</h2>
+        <p>
+            A Cuban prime is a prime number that is a solution to the Diophantine equation <em>x^3 + y^3 = z^3 + 1</em>, where x, y, and z are positive integers.
+            It's a special type of prime number related to the sum of cubes.
+        </p>
+
+        <h2>Formula:</h2>
+        <p>
+            The Diophantine equation for Cuban primes is <em>x^3 + y^3 = z^3 + 1</em>.
+        </p>
+
+        <h2>Solution Process:</h2>
+        <p>
+            When checking a number for Cuban primality, the application verifies if the given number satisfies the Diophantine equation.
+            The application then checks if both the calculated value and the given number are prime. If the conditions are met, the number is identified as a Cuban Prime.
+        </p>
+    </div>
+    <div class="calculator">
+        <div class="section">
+            <p class="calculator-title">Check Single Cuban Prime</p>
+            <label for="number">Enter a number:</label>
+            <input type="number" id="number" placeholder="Enter a number">
+            <button onclick="checkCubanPrime()">Check</button>
+            <p id="resultSingle"></p>
+        </div>
+
+        <div class="section">
+            <p class="calculator-title">Check Cuban Primes in Range</p>
+            <label for="fromRange">From:</label>
+            <input type="number" id="fromRange" placeholder="Enter from number">
+            <label for="toRange">To:</label>
+            <input type="number" id="toRange" placeholder="Enter to number">
+            <button onclick="checkCubanPrimesInRange()">Check</button>
+            <p id="rangeResult"></p>
+        </div>
+    </div>
+
+
+
+    <script src="script.js"></script>
+</body>
+
+</html>
diff --git a/Calculators/Cuban-Prime-Calculator/script.js b/Calculators/Cuban-Prime-Calculator/script.js
@@ -0,0 +1,67 @@
+function isPrime(num) {
+    if (num < 2) {
+        return false;
+    }
+    for (let i = 2; i <= num / 2; i++) {
+        if (num % i === 0) {
+            return false;
+        }
+    }
+    return true;
+}
+
+function cubeOfNum(num) {
+    return num * num * num;
+}
+
+function isCubanPrime(num) {
+    let res = cubeOfNum(num) - cubeOfNum(num - 1);
+    return isPrime(res) && isPrime(num);
+}
+
+function getCubanSolution(num) {
+    let res = cubeOfNum(num) - cubeOfNum(num - 1);
+    return `<br>The cube of ${num} is ${cubeOfNum(num)}.<br>The cube of ${num - 1} is ${cubeOfNum(num - 1)}.<br>The difference is ${res}.<br>This number is Cuban Prime because both ${num} and ${res} are prime.`;
+}
+
+function checkCubanPrime() {
+    let number = document.getElementById('number').value;
+
+    if (!validateInput(number)) {
+        alert('Please enter a valid positive integer.');
+        return;
+    }
+
+    let result = isCubanPrime(parseInt(number));
+    let message = result ? `${number} is a Cuban Prime number. ${getCubanSolution(parseInt(number))}` : `${number} is not a Cuban Prime number.`;
+
+    document.getElementById('resultSingle').innerHTML = `<span class="${result ? 'cuban-prime' : 'not-cuban-prime'}">${message}</span>`;
+}
+
+function checkCubanPrimesInRange() {
+    let fromRange = parseInt(document.getElementById('fromRange').value);
+    let toRange = parseInt(document.getElementById('toRange').value);
+
+    if (isNaN(fromRange) || isNaN(toRange) || fromRange >= toRange) {
+        alert('Please enter valid range values.');
+        return;
+    }
+
+    let cubanPrimes = [];
+
+    for (let i = fromRange; i <= toRange; i++) {
+        if (isCubanPrime(i)) {
+            cubanPrimes.push(i);
+        }
+    }
+
+    if (cubanPrimes.length > 0) {
+        document.getElementById('rangeResult').innerHTML = `<span class="cuban-prime-result">Cuban Prime numbers in the range ${fromRange} to ${toRange}: ${cubanPrimes.join(', ')}</span>`;
+    } else {
+        document.getElementById('rangeResult').innerHTML = `There are no Cuban Prime numbers in the range ${fromRange} to ${toRange}.`;
+    }
+}
+
+function validateInput(number) {
+    return /^(0|[1-9]\d*)$/.test(number);
+}
diff --git a/Calculators/Cuban-Prime-Calculator/style.css b/Calculators/Cuban-Prime-Calculator/style.css
@@ -0,0 +1,120 @@
+body {
+    font-family: 'Roboto', sans-serif;
+    text-align: center;
+    margin: 0;
+    padding: 0;
+    background: linear-gradient(135deg, #2980B9, #6DD5FA);
+    color: #fff;
+}
+
+.calculator {
+    display: flex;
+    justify-content: space-around;
+    align-items: flex-start;
+    margin: 50px auto;
+    max-width: 900px;
+}
+
+.section {
+    width: 45%;
+    padding: 20px;
+    box-sizing: border-box;
+    background: linear-gradient(45deg, #1E2A39, #394A5E);
+    border: 1px solid #00f;
+    border-radius: 15px;
+    box-shadow: 0 0 20px rgba(255, 255, 255, 0.8);
+    margin-bottom: 20px;
+}
+
+input {
+    padding: 10px;
+    font-size: 16px;
+    margin-top: 10px;
+    width: 100%;
+    box-sizing: border-box;
+    background-color: #fff;
+    border: none;
+    border-radius: 5px;
+}
+
+button {
+    padding: 10px 20px;
+    font-size: 16px;
+    cursor: pointer;
+    background-color: #3498DB;
+    color: #fff;
+    border: none;
+    border-radius: 5px;
+    margin-top: 10px;
+    transition: background-color 0.3s, box-shadow 0.3s;
+}
+
+button:hover {
+    background-color: #2980B9;
+    box-shadow: 0 0 20px rgba(255, 255, 255, 0.8);
+}
+
+p {
+    font-size: 18px;
+    margin-top: 20px;
+    color: #fff;
+}
+.cuban-prime-result {
+    color: #2ECC71; 
+}
+
+.title {
+    padding: 20px;
+    margin: 0;
+    font-size: 36px;
+    font-weight: 900;
+    color: #FFC300;
+    transition: color 0.3s, transform 0.3s;
+}
+
+.title:hover {
+    color: #E74C3C;
+    transform: scale(1.1);
+}
+
+.calculator-title {
+    color: #2ECC71;
+    font-size: 24px;
+    font-weight: bold;
+    margin-bottom: 15px;
+}
+
+.information {
+    text-align: justify;
+    margin-top: 30px;
+    color: #fff;
+    max-width: 800px;
+    margin-left: auto;
+    margin-right: auto;
+    border: 1px solid #00f;
+    border-radius: 15px;
+    padding: 20px;
+    box-shadow: 0 0 20px rgba(255, 255, 255, 0.8);
+}
+
+
+.information h2 {
+    color: #FFC300;
+    font-size: 24px;
+    margin-bottom: 10px;
+}
+
+.information p {
+    font-size: 16px;
+    line-height: 1.6;
+    margin-bottom: 20px;
+}
+.cuban-prime {
+    color: #2ECC71; }
+
+.not-cuban-prime {
+    color: #E74C3C; 
+}
+.rangeResult{
+    color:  #2ECC71;
+}
diff --git a/index.html b/index.html
@@ -1883,6 +1883,20 @@ <h3>Calculates the time in which you can payoff your Credits.</h3>
                 </div>
             </div>
         </div>
+        <div class="box">
+            <div class="content">
+                <h2>Cuban Prime Calculator</h2>
+                <h3>Checks if a number is cuban prime or not and finds cuban prime numbers in a range.</h3>
+                <div class="card-footer">
+                    <a href="./Calculators/Cuban-Prime-Calculator/index.html" target="_blank">
+                        <button>Try Now</button>
+                    </a>
+                    <a href="https://github.com/Rakesh9100/CalcDiverse/tree/main/Calculators/Cuban-Prime-Calculator" title="Source Code" target="_blank">
+                        <img src="./assets/images/github.png" alt="Source Code"></img>
+                    </a>
+                </div>
+            </div>
+        </div>
     </div>
 
     <!-- Calculator Section Ends Here  -->