Unlocking the Secrets of Prime Numbers in Java
What Makes a Number Prime?
A prime number is a unique gem in the world of mathematics, divisible only by two numbers: 1 and itself. This means that if a number can be divided by any other number, it’s not prime. Simple, yet fascinating!
Example 1: Uncovering Prime Numbers with a For Loop
Let’s dive into an example program that uses a for loop to determine if a given number is prime or not. The magic happens when we loop from 2 to num/2, as a number cannot be divided by more than its half. Inside the loop, we check if the number is divisible by any number in the given range. If it is, we set a flag to true and break out of the loop, indicating that the number is not prime. If it’s not divisible, the flag remains false, and we have a prime number on our hands!
Output
Take a look at the output of this program and see how it works its magic:
[Insert output]
Example 2: The Power of While Loops in Prime Number Detection
Now, let’s explore an alternative approach using a while loop. This program runs until i <= num/2, checking on each iteration whether num is divisible by i. The value of i increments by 1 with each loop, ensuring a thorough examination of the number’s divisibility.
Output
See the output of this program in action:
[Insert output]
Taking it Further
Want to explore more Java programs related to prime numbers? Check out these exciting examples:
- Displaying Prime Numbers Between Intervals Using Functions
- Displaying Prime Numbers Between Two Intervals
These programs will take your understanding of prime numbers to the next level!