
from math import isqrt






def   lowerCamelCase__							(					a      )      ->   List[Any]:
   _A:  Union[str, Any]					=       [True] * max_number
   for i in range(2		,		isqrt(max_number - 1      ) + 1      ):
      if is_prime[i]:
         for j in range(i**2		,		__lowerCamelCase		,		__lowerCamelCase      ):
            _A:  List[str]					=       False

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






def   lowerCamelCase__							(					a = 10**8      )      ->   Dict:
   _A:  str					=       calculate_prime_numbers(max_number // 2      )

   _A:  str					=       0
   _A:  Optional[Any]					=       0
   _A:  Dict					=       len(__lowerCamelCase      ) - 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() = }""")











def 				lowerCamelCase__      (    __lowerCamelCase			:     Tuple  ,		__lowerCamelCase			:     Union[str, Any]		):
  __UpperCAmelCase							:	Tuple           =  [1]
  for i in range(2  ,		__lowerCamelCase		):
    factorials.append(factorials[-1] * i		)
  assert 0 <= k < factorials[-1] * n, "k out of bounds"

  __UpperCAmelCase							:	Optional[Any]           =  []
  __UpperCAmelCase							:	str           =  list(range(__lowerCamelCase		)		)

  # Find permutation
  while factorials:
    __UpperCAmelCase							:	Any           =  factorials.pop()
    __UpperCAmelCase      , __UpperCAmelCase							:	Optional[Any]           =  divmod(__lowerCamelCase  ,		__lowerCamelCase		)
    permutation.append(elements[number]		)
    elements.remove(elements[number]		)
  permutation.append(elements[0]		)

  return permutation


if __name__ == "__main__":
       import doctest

       doctest.testmod()


