Finding Prime Numbers Between 100 and 200 in Python

Finding prime numbers within a specific range is a common task in programming, especially when learning about loops, conditions, and functions. Python, with its simplicity and readability, provides an excellent environment for performing such tasks. In this article, we will discuss how to find all prime numbers between 100 and 200 using Python.

Understanding Prime Numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, and 11 are prime numbers. To find prime numbers between 100 and 200, we need to check each number in this range to see if it meets the criteria for being prime.

Python Code for Finding Prime Numbers

Below is a Python script that finds and prints all prime numbers between 100 and 200:

pythonCopy Code
def is_prime(n):
    """Check if a number is prime."""
    if n <= 1:
        return False
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False
    return True

# Finding prime numbers between 100 and 200
prime_numbers = [n for n in range(100, 201) if is_prime(n)]

print(prime_numbers)

This script defines a function is_prime(n) that checks if a number n is prime. It then uses a list comprehension to iterate through the numbers from 100 to 200, applying the is_prime function to each number to filter out the primes.

Explanation of the Code

• The is_prime function checks if n is less than or equal to 1, returning False immediately if so, since prime numbers are greater than 1.
• It then iterates through numbers from 2 to the square root of n (inclusive), checking if n is divisible by any of these numbers. If it finds a divisor, it returns False.
• If no divisors are found, the function returns True, indicating that n is prime.
• The list comprehension [n for n in range(100, 201) if is_prime(n)] creates a list of all numbers between 100 and 200 that are prime.

Conclusion

Finding prime numbers between 100 and 200 in Python is a straightforward task that involves defining a function to check for primality and then applying this function to each number in the desired range. The code provided here is efficient and easy to understand, making it an excellent starting point for those learning Python or exploring prime numbers.

[tags]
Python, Prime Numbers, Programming, Algorithms, Code Snippet