





from math import isqrt




def 		lowerCAmelCase_    (  __UpperCAmelCase:			int      )      ->	list[int]:
    UpperCamelCase__							:				Optional[int]          =      [True] * max_number
    for i in range(2		,   isqrt(max_number - 1      ) + 1      ):
        if is_prime[i]:
            for j in range(i**2		,   __UpperCAmelCase		,   __UpperCAmelCase      ):
                UpperCamelCase__							:				int          =      False

    return [i for i in range(2		,   __UpperCAmelCase      ) if is_prime[i]]




def 		lowerCAmelCase_    (  __UpperCAmelCase:			int = 10**8      )      ->	int:
    UpperCamelCase__							:				Tuple          =      calculate_prime_numbers(max_number // 2      )

    UpperCamelCase__							:				List[Any]          =      0
    UpperCamelCase__							:				str          =      0
    UpperCamelCase__							:				Optional[Any]          =      len(__UpperCAmelCase      ) - 1
    while left <= right:
        while prime_numbers[left] * prime_numbers[right] >= max_number:
            right -= 1
        semiprimes_count += right - left + 1
        left += 1

    return semiprimes_count


if __name__ == "__main__":
  print(F'''{solution() = }''')








UpperCAmelCase_     							= 'Input must be a string of 8 numbers plus letter'
UpperCAmelCase_     							= 'TRWAGMYFPDXBNJZSQVHLCKE'




def 		lowerCAmelCase_    (  __UpperCAmelCase:			str      )      ->	bool:

    if not isinstance(__UpperCAmelCase		,   __UpperCAmelCase      ):
        UpperCamelCase__							:				Any          =      f"Expected string as input, found {type(__UpperCAmelCase      ).__name__}"
        raise TypeError(__UpperCAmelCase      )

    UpperCamelCase__							:				int          =      spanish_id.replace('''-'''		,   ''''''      ).upper()
    if len(__UpperCAmelCase      ) != 9:
        raise ValueError(__UpperCAmelCase      )

    try:
        UpperCamelCase__							:				List[str]          =      int(spanish_id_clean[0:8]      )
        UpperCamelCase__							:				Optional[int]          =      spanish_id_clean[8]
    except ValueError as ex:
        raise ValueError(__UpperCAmelCase      ) from ex

    if letter.isdigit():
        raise ValueError(__UpperCAmelCase      )

    return letter == LOOKUP_LETTERS[number % 23]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

