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

def _lowercase	(      lowerCamelCase__						)					->       str:





       """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(lowerCamelCase__						) + 1						)							,    6						):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True

def _lowercase	(      )					->       List[Any]:





       """simple docstring"""


       __UpperCAmelCase  :				List[str]       				=		2
       while True:
              if is_prime(lowerCamelCase__						):
                     yield num
              num += 1

def _lowercase	(      lowerCamelCase__ = 200_0000						)					->       List[str]:





       """simple docstring"""


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


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







'''simple docstring'''




def _lowercase	(      lowerCamelCase__							,    lowerCamelCase__						)					->       float:





       """simple docstring"""


       if discount_rate < 0:
              raise ValueError("Discount rate cannot be negative"						)
       if not cash_flows:
              raise ValueError("Cash flows list cannot be empty"						)
       __UpperCAmelCase  :				Tuple       				=		sum(
           cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(lowerCamelCase__						)						)
       return round(lowerCamelCase__							,    ndigits=2						)


if __name__ == "__main__":
   import doctest

   doctest.testmod()






