Documentation Generator | Python

Prime Number Generator

This script defines a function to generate a list of prime numbers up to a specified integer using a simple prime number identification method. It showcases the implementation and usage with an example output for n = 10.


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Prompt

def prime_numbers(n):
    prime_nums = []
    for num in range(2, n+1):
        if all(num % i != 0 for i in range(2, int(num**0.5)+1)):
            prime_nums.append(num)
    return prime_nums

n = 10
print(prime_numbers(n))

Answer

# Function to generate a list of prime numbers up to a given number

def prime_numbers(n):
    """
    This function generates a list of prime numbers up to a given number.

    Parameters:
    n (int): The upper limit up to which prime numbers need to be generated.

    Returns:
    list: A list of prime numbers up to 'n'.

    Methodology:
    - Initializes an empty list to store prime numbers.
    - Iterates through numbers from 2 to 'n'.
    - Checks if the number is prime by verifying it is not divisible by any number from 2 to square root of the number.
    - Appends prime numbers to the list.
    - Returns the list of prime numbers.

    Example:
    n = 10
    print(prime_numbers(n)) # Output: [2, 3, 5, 7]
    """

    prime_nums = []
    for num in range(2, n+1):
        if all(num % i != 0 for i in range(2, int(num**0.5)+1)):
            prime_nums.append(num)
    return prime_nums

n = 10
print(prime_numbers(n))

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Description

This script defines a function to generate a list of prime numbers up to a specified integer using a simple prime number identification method. It showcases the implementation and usage with an example output for n = 10.

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