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Generate a list of all even, odd and prime numbers up to n in python with explanation

Anubhav Sharma 503 23 Apr 2025

Using list comprehension.

python python-3.4python
Updated 27 Apr 2025
Anubhav Sharma
Anubhav Sharma

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The Anubhav portal was launched in March 2015 at the behest of the Hon'ble Prime Minister for retiring government officials to leave a record of their experiences while in Govt service .

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1 Answers

Khushi Singh
Khushi Singh 25 Apr 2025
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Explanation

Even numbers are those divisible by 2, like 2, 4, 6, 8, etc.

Odd numbers are those that are not divisible by 2, like 1, 3, 5, 7, etc.

Prime numbers are those greater than 1 that are divisible only by 1 and themselves, like 2, 3, 5, 7, 11, etc.

Code Example:
 

def generate_numbers(n):
   even_numbers = []
   odd_numbers = []
   prime_numbers = []
   
   for num in range(1, n + 1):
       # Check if number is even or odd
       if num % 2 == 0:
           even_numbers.append(num)
       else:
           odd_numbers.append(num)
       
       # Check if number is prime
       if num > 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:
               prime_numbers.append(num)
   return even_numbers, odd_numbers, prime_numbers
# Example usage
n = 20
evens, odds, primes = generate_numbers(n)

print("Even numbers:", evens)
print("Odd numbers:", odds)
print("Prime numbers:", primes)

What the code does:

For even numbers, it checks if the number is divisible by 2 (num % 2 == 0).

For odd numbers, it adds those numbers that are not divisible by 2.

For prime numbers, it checks if a number is divisible by any number other than 1 and itself. It only checks up to the square root of the number for efficiency.

Output for n = 20:

Even numbers: [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
Odd numbers: [1, 3, 5, 7, 9, 11, 13, 15, 17, 19]
Prime numbers: [2, 3, 5, 7, 11, 13, 17, 19]


This code provides a simple way to categorize numbers as even, odd, and prime up to a given number n.
 

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