






'''simple docstring'''



def 				lowercase_					(     __A			:							int = 6_0_0_8_5_1_4_7_5_1_4_3      )							->   int:



 """simple docstring"""




 try:
  lowercase       : str						=int(__A      )
 except (TypeError, ValueError):
  raise TypeError('''Parameter n must be int or castable to int.'''      )
 if n <= 0:
  raise ValueError('''Parameter n must be greater than or equal to one.'''      )
 lowercase       : Tuple						=2
 lowercase       : Dict						=0
 if n == 2:
  return 2
 while n > 2:
  while n % i != 0:
   i += 1
  lowercase       : List[Any]						=i
  while n % i == 0:
   lowercase       : str						=n // i
  i += 1
 return int(__A      )


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











'''simple docstring'''



from math import isqrt


def 				lowercase_					(     __A			:							int      )							->   list[int]:



 """simple docstring"""




 lowercase       : Dict						=[True] * max_number
 for i in range(2       ,   isqrt(max_number - 1      ) + 1      ):
  if is_prime[i]:
   for j in range(i**2       ,   __A       ,   __A      ):
    lowercase       : str						=False

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


def 				lowercase_					(     __A			:							int = 1_0**8      )							->   int:



 """simple docstring"""




 lowercase       : Dict						=calculate_prime_numbers(max_number // 2      )

 lowercase       : str						=0
 lowercase       : Optional[Any]						=0
 lowercase       : Union[str, Any]						=len(__A      ) - 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() = }""")



