




'''simple docstring'''




import math
from collections.abc import Iterator
from itertools import takewhile





def      a_							(      __snake_case							:			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(__snake_case   ) + 1   )   ,       6   ):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True





def      a_							(      )							->						Iterator[int]:



       """simple docstring"""
       lowerCamelCase_							=2
       while True:
              if is_prime(__snake_case   ):
                     yield num
              num += 1





def      a_							(      __snake_case							:			int = 200_0000   )							->						int:



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


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







from ..utils import DummyObject, requires_backends





class 	snake_case_   (		metaclass=__A					):







			'''simple docstring'''

			SCREAMING_SNAKE_CASE     :   Union[str, Any]									=				["note_seq"]







			def __init__(     self :				Optional[int]							,   *_UpperCamelCase :				str							,   **_UpperCamelCase :				Optional[int]							)      ->Any:
									requires_backends(self							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				int							,   *_UpperCamelCase :				Any							,   **_UpperCamelCase :				List[Any]							)      ->int:
									requires_backends(cls							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				Dict							,   *_UpperCamelCase :				Optional[int]							,   **_UpperCamelCase :				Union[str, Any]							)      ->List[str]:
									requires_backends(cls							,   ['''note_seq''']							)