Uncover the Secrets of Prime Numbers

The Quest for Prime Numbers

Imagine running a program that can effortlessly display all prime numbers between two intervals. Sounds like a daunting task? Fear not, for we’re about to embark on a journey to demystify this process.

The Inner Workings

At the heart of this program lies a clever mechanism. Each number within the specified range is put to the test, and the inner for loop plays a crucial role in determining whether it’s prime or not. This ingenious approach ensures that every number is thoroughly examined, leaving no stone unturned.

def find_primes(start, end):
    primes = []
    for num in range(start, end + 1):
        is_prime = True
        for i in range(2, int(num ** 0.5) + 1):
            if num % i == 0:
                is_prime = False
                break
        if is_prime:
            primes.append(num)
    return primes

A Closer Look

But what sets this program apart from its single-number counterpart? The answer lies in the subtle yet vital difference of resetting the flag value to false on each iteration of the while loop. This crucial step allows the program to accurately identify prime numbers within the specified interval.

• The outer loop iterates over the specified range of numbers.
• The inner loop checks for divisibility of each number.
• The flag value is reset to false on each iteration to ensure accurate identification.

Unlocking the Power of Prime Numbers

By grasping the intricacies of this program, you’ll unlock the secrets of prime numbers and gain a deeper understanding of their behavior within specific ranges. So, take the first step towards becoming a master of numbers and discover the hidden patterns that govern our universe.

Example Usage:

start = 10
end = 20
primes = find_primes(start, end)
print(f"Prime numbers between {start} and {end}: {primes}")

This program will output: Prime numbers between 10 and 20: [11, 13, 17, 19]