Generating Prime Numbers List in Python: The Perfect For Loop Practice

Introduction:

Finding prime numbers is a fascinating mathematical quest, and Python offers a simple yet powerful program to unveil these elusive gems. With just two for loops and an if-statement, you can embark on an enlightening journey through the world of for loops. In this article, we'll walk you through a cool Python program to generate a list of prime numbers between two given numbers.

Understanding Prime Numbers:

Prime numbers are unique, having only two factors - one and themselves. This means that by dividing a prime number by any other number (excluding one and itself), we get a remainder. In Python, we can use the modulus operator (%) to easily find the remainder of a division. Armed with this knowledge, we can employ if-statements and for loops to identify prime numbers effectively.

The Prime Numbers Program: 

The program elegantly leverages Python's for loops to iterate through a range of numbers between the two numbers. For each number, the program checks if there are any divisors other than one and itself by calculating the remainder using the modulus operator. If the remainder is zero, the number is not prime. Otherwise, it is prime and is added to the growing list of prime numbers.

CODE:

user_input = int(input('Enter the maximum value: '))

for number in range(2,user_input+1):
        for factor in range(2,number):
                if number % factor == 0:
                        break
        else:
                print(f'{number} is prime')

 

The output for this would look like this:

Enter the maximum value: 10
2 is prime
3 is prime
5 is prime
7 is prime
>>> 

 

You can edit the code slightly to print all the composite numbers instead of the prime. Another good program you can try with minor tweaks would be a prime factors finder. Given a number, try to write a program to find all the prime factors for the number. 

Discovering prime numbers through Python's for loops is educational and empowering. With this nifty program, you can unlock the secrets of prime numbers between any two given values. Take this opportunity to deepen your understanding of for loops and prime numbers in the realm of Python programming. Happy coding!

I hope you found this program useful. If you did, follow ThePygrammer to be updated whenever a new post comes out. Please use the comment section below if you have any queries, and I will try to reply as soon as I can. 

Until then, be sure to check out some of these other programs: 

Print the numbers of the Fibonacci Series with this easy code: Fibonacci Sequence Finder

The Math Module is one of the most critical modules for Python programmers: The Math Module