new_contents: """
  A Hamming number is a positive integer of the form 2^i*3^j*5^k, for some
  non-negative integers i, j, and k. They are often referred to as regular numbers.
  More info at: https://en.wikipedia.org/wiki/Regular_number.
  """
  
  
  def hamming(n_element: int) -> list:
      """
      This function creates an ordered list of n length as requested, and afterwards
      returns the last value of the list. It must be given a positive integer.
  
      :param n_element: The number of elements on the list
      :return: The nth element of the list
  
      >>> hamming(5)
      [1, 2, 3, 4, 5]
      >>> hamming(10)
      [1, 2, 3, 4, 5, 6, 8, 9, 10, 12]
      >>> hamming(15)
      [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24]
      """
      n_element = int(n_element)
      if n_element < 1:
          my_error = ValueError("a should be a positive number")
          raise my_error
  
      hamming_list = [1]
      i, j, k = (0, 0, 0)
      index = 1
      while index < n_element:
          while hamming_list[i] * 2 <= hamming_list[-1]:
              i += 1
          while hamming_list[j] * 3 <= hamming_list[-1]:
              j += 1
          while hamming_list[k] * 5 <= hamming_list[-1]:
              k += 1
          hamming_list.append(
              min(hamming_list[i] * 2, hamming_list[j] * 3, hamming_list[k] * 5)
          )
          index += 1
      return hamming_list
  
  
  if __name__ == "__main__":
      n = input("Enter the last number (nth term) of the Hamming Number Series: ")
      print("Formula of Hamming Number Series => 2^i * 3^j * 5^k")
      hamming_numbers = hamming(int(n))
      print("-----------------------------------------------------")
      print(f"The list with nth numbers is: {hamming_numbers}")
      print("-----------------------------------------------------")
  
subject: Add algorithm for creating Hamming numbers (#4992)