input: from typing import List
  
  
  def generate_prime_numbers(n: int) -> List[int]:
      """ Generates a list of prime numbers up to the input number n.
      >>> generate_prime_numbers(10)
      [2, 3, 5, 7]
      >>> generate_prime_numbers(20)
      [2, 3, 5, 7, 11, 13, 17, 19]
      """
output:     primes = []
      for num in range(2, n + 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