Uncover the Power of Prime Numbers

Prime numbers hold a special place in number theory, fascinating mathematicians for centuries with their unique properties. But have you ever wondered how to find all prime numbers between two integers?

The Quest for Prime Numbers

To tackle this challenge, we’ll create a function called checkPrimeNumber() that takes a single parameter, num, and returns a boolean value indicating whether the number is prime or not. This function will be the backbone of our program, allowing us to identify prime numbers with ease.

The checkPrimeNumber() Function

public boolean checkPrimeNumber(int num) {
    if (num <= 1) {
        return false;
    }
    for (int i = 2; i <= num / 2; i++) {
        if (num % i == 0) {
            return false;
        }
    }
    return true;
}

This function works its magic by employing a clever trick: we loop from 2 to num/2. Why, you ask? It’s because a number cannot be divided by more than its half, making this optimization a game-changer.

The Main Event

public static void main(String[] args) {
    int start = 10; // starting integer
    int end = 50; // ending integer
    for (int i = start; i <= end; i++) {
        if (checkPrimeNumber(i)) {
            System.out.println(i + " is a prime number");
        }
    }
}

With our checkPrimeNumber() function in place, we can now harness its power within the main() method. Here, we’ll iterate through a range of numbers, feeding each one into our trusty function. Based on the return value, we’ll print the prime numbers to the screen, revealing the hidden gems within the specified interval.

The Result

The outcome is nothing short of remarkable. Our program efficiently identifies and displays all prime numbers between two integers, showcasing the beauty of number theory in action.

Take Your Skills to the Next Level

Ready to explore more? Dive into the world of Java programming and discover the intricacies of prime numbers. Who knows what fascinating patterns and relationships you’ll uncover?

• Explore the properties of prime numbers and their applications in cryptography and coding theory.
• Delve into the world of composite numbers and learn how to factorize them.
• Discover the connections between prime numbers and other areas of mathematics, such as algebra and geometry.

Learn more about Java programming and number theory