



"""simple docstring"""





import math
from collections.abc import Iterator
from itertools import takewhile
def        a__     (				lowerCAmelCase__				):

      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        a__     (				):
      UpperCAmelCase_      			=							2
      while True:
            if is_prime(lowerCAmelCase__				):
                  yield num
            num += 1
def        a__     (				lowerCAmelCase__ = 2000000				):
      return sum(takewhile(lambda lowerCAmelCase__				: x < n     ,      prime_generator()				)				)


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









"""simple docstring"""





def        a__     (				lowerCAmelCase__ = 2000000				):
      UpperCAmelCase_      			=							[0 for i in range(n + 1				)]
      UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							1

      for i in range(2     ,      int(n**0.5				) + 1				):
            if primality_list[i] == 0:
                  for j in range(i * i     ,      n + 1     ,      lowerCAmelCase__				):
                        UpperCAmelCase_      			=							1
      UpperCAmelCase_      			=							0
      for i in range(lowerCAmelCase__				):
            if primality_list[i] == 0:
                  sum_of_primes += i
      return sum_of_primes


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




