
from math import isqrt
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     list[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				[True] * max_number
   for i in range(2    ,      isqrt(max_number - 1						) + 1						):
      if is_prime[i]:
         for j in range(i**2    ,      SCREAMING_SNAKE_CASE_    ,      SCREAMING_SNAKE_CASE_						):
            _SCREAMING_SNAKE_CASE      =				False

   return [i for i in range(2    ,      SCREAMING_SNAKE_CASE_						) if is_prime[i]]
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_ = 10**8						)     ->     int:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				calculate_prime_numbers(max_number // 2						)

   _SCREAMING_SNAKE_CASE      =				0
   _SCREAMING_SNAKE_CASE      =				0
   _SCREAMING_SNAKE_CASE      =				len(SCREAMING_SNAKE_CASE_						) - 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() = }""")








'''simple docstring'''



import math
from collections.abc import Iterator
from itertools import takewhile
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     bool:




   """simple docstring"""

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5    ,      int(math.sqrt(SCREAMING_SNAKE_CASE_						) + 1						)    ,      6						):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True
def    lowerCAmelCase_	(				)     ->     Iterator[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				2
   while True:
      if is_prime(SCREAMING_SNAKE_CASE_						):
         yield num
      num += 1
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_ = 2_00_00_00						)     ->     int:




   """simple docstring"""
   return sum(takewhile(lambda SCREAMING_SNAKE_CASE_						: x < n    ,      prime_generator()						)						)


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






