





'''simple docstring'''




import math
from collections.abc import Iterator
from itertools import takewhile
def 	UpperCAmelCase_							(					__lowercase							:      int       )		->       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(__lowercase       ) + 1       )			,     6       ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True
def 	UpperCAmelCase_							(					)		->       Iterator[int]:


     '''simple docstring'''



     _UpperCAmelCase     							=   2
     while True:
          if is_prime(__lowercase       ):
               yield num
          num += 1
def 	UpperCAmelCase_							(					__lowercase							:      int = 200_0000       )		->       int:


     '''simple docstring'''



     return sum(takewhile(lambda __lowercase       : x < n			,     prime_generator()       )       )


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











'''simple docstring'''




import math
def 	UpperCAmelCase_							(					__lowercase							:      int       )		->       bool:


     '''simple docstring'''



     return math.sqrt(__lowercase       ) * math.sqrt(__lowercase       ) == num
def 	UpperCAmelCase_							(					__lowercase							:      int       )		->       bool:


     '''simple docstring'''



     _UpperCAmelCase     							=   0
     _UpperCAmelCase     							=   n
     while left <= right:
          _UpperCAmelCase     							=   (left + right) // 2
          if mid**2 == n:
               return True
          elif mid**2 > n:
               _UpperCAmelCase     							=   mid - 1
          else:
               _UpperCAmelCase     							=   mid + 1
     return False


if __name__ == "__main__":
  import doctest

  doctest.testmod()




