





def 					_A	(		SCREAMING_SNAKE_CASE					:       str						):





  """simple docstring"""



  return credit_card_number.startswith(("34", "35", "37", "4", "5", "6")						)
def 					_A	(		SCREAMING_SNAKE_CASE					:       str						):





  """simple docstring"""



  a__     : int  =credit_card_number
  a__     : str  =0
  a__     : Dict  =len(SCREAMING_SNAKE_CASE						) - 2
  for i in range(SCREAMING_SNAKE_CASE	,	-1	,	-2						):
    #  double the value of every second digit
    a__     : str  =int(cc_number[i]						)
    digit *= 2
    # If doubling of a number results in a two digit number
    # i.e greater than 9(e.g., 6 × 2 = 12),
    # then add the digits of the product (e.g., 12: 1 + 2 = 3, 15: 1 + 5 = 6),
    # to get a single digit number.
    if digit > 9:
      digit %= 10
      digit += 1
    a__     : Any  =cc_number[:i] + str(SCREAMING_SNAKE_CASE						) + cc_number[i + 1 :]
    total += digit

  # Sum up the remaining digits
  for i in range(len(SCREAMING_SNAKE_CASE						) - 1	,	-1	,	-2						):
    total += int(cc_number[i]						)

  return total % 10 == 0
def 					_A	(		SCREAMING_SNAKE_CASE					:       str						):





  """simple docstring"""



  a__     : Optional[Any]  =f'''{credit_card_number} is an invalid credit card number because'''
  if not credit_card_number.isdigit():
    print(f'''{error_message} it has nonnumerical characters.'''						)
    return False

  if not 13 <= len(SCREAMING_SNAKE_CASE						) <= 16:
    print(f'''{error_message} of its length.'''						)
    return False

  if not validate_initial_digits(SCREAMING_SNAKE_CASE						):
    print(f'''{error_message} of its first two digits.'''						)
    return False

  if not luhn_validation(SCREAMING_SNAKE_CASE						):
    print(f'''{error_message} it fails the Luhn check.'''						)
    return False

  print(f'''{credit_card_number} is a valid credit card number.'''						)
  return True


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     validate_credit_card_number("""4111111111111111""")
     validate_credit_card_number("""32323""")













from maths.prime_check import is_prime
def 					_A	(		SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  if not isinstance(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						):
    a__     : Dict  =f'''Input value of [number={number}] must be an integer'''
    raise TypeError(SCREAMING_SNAKE_CASE						)
  if is_prime(SCREAMING_SNAKE_CASE						) and is_prime(number + 2						):
    return number + 2
  else:
    return -1


if __name__ == "__main__":
     import doctest

     doctest.testmod()






