





from math import isqrt


def _A       (   __magic_name__	):
   lowercase__			       =  [True] * max_number
   for i in range(2  , isqrt(max_number - 1	) + 1	):
      if is_prime[i]:
         for j in range(i**2  , __magic_name__  , __magic_name__	):
            lowercase__			       =  False

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


def _A       (   __magic_name__ = 10**8	):
   lowercase__			       =  calculate_prime_numbers(max_number // 2	)

   lowercase__			       =  0
   lowercase__			       =  0
   lowercase__			       =  len(__magic_name__	) - 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() = }""")













from abc import ABC, abstractmethod
from typing import Optional, Union

from .. import Dataset, DatasetDict, Features, IterableDataset, IterableDatasetDict, NamedSplit
from ..utils.typing import NestedDataStructureLike, PathLike





class  lowerCAmelCase							(       lowercase_ ):







  def __init__(      self  :str   ,							_lowercase  :Optional[NestedDataStructureLike[PathLike]] = None   ,							_lowercase  :Optional[NamedSplit] = None   ,							_lowercase  :Optional[Features] = None   ,							_lowercase  :str = None   ,							_lowercase  :bool = False   ,							_lowercase  :bool = False   ,							_lowercase  :Optional[int] = None   ,							**_lowercase  :Tuple   ,							):






     '''simple docstring'''





     lowercase__			       =  path_or_paths
     lowercase__			       =  split if split or isinstance(_lowercase   ,							_lowercase ) else "train"
     lowercase__			       =  features
     lowercase__			       =  cache_dir
     lowercase__			       =  keep_in_memory
     lowercase__			       =  streaming
     lowercase__			       =  num_proc
     lowercase__			       =  kwargs







  @abstractmethod
  def   UpperCAmelCase					(      self  :Any ):






     '''simple docstring'''





     pass





class  lowerCAmelCase							(       lowercase_ ):







  def __init__(      self  :List[Any]   ,							_lowercase  :Optional[Features] = None   ,							_lowercase  :str = None   ,							_lowercase  :bool = False   ,							_lowercase  :bool = False   ,							_lowercase  :Optional[int] = None   ,							**_lowercase  :Optional[int]   ,							):






     '''simple docstring'''





     lowercase__			       =  features
     lowercase__			       =  cache_dir
     lowercase__			       =  keep_in_memory
     lowercase__			       =  streaming
     lowercase__			       =  num_proc
     lowercase__			       =  kwargs







  @abstractmethod
  def   UpperCAmelCase					(      self  :int ):






     '''simple docstring'''





     pass






