


import math
from collections.abc import Iterator
from itertools import takewhile
def   _UpperCamelCase				(						lowerCAmelCase_   )						->Union[str, Any]:



   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   _UpperCamelCase				(						)						->Any:
   UpperCAmelCase							=     2
   while True:
      if is_prime(lowerCAmelCase_   ):
         yield num
      num += 1
def   _UpperCamelCase				(						lowerCAmelCase_ = 2_0_0_0_0_0_0   )						->Dict:
   return sum(takewhile(lambda lowerCAmelCase_   : x < n  ,						prime_generator()   )   )


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







from math import isqrt
def   _UpperCamelCase				(						lowerCAmelCase_   )						->bool:
   return all(number % divisor != 0 for divisor in range(2  ,						isqrt(lowerCAmelCase_   ) + 1   )   )
def   _UpperCamelCase				(						lowerCAmelCase_ = 1_0**6   )						->int:
   UpperCAmelCase							=     0
   UpperCAmelCase							=     1
   UpperCAmelCase							=     7
   while prime_candidate < max_prime:
      primes_count += is_prime(lowerCAmelCase_   )

      cube_index += 1
      prime_candidate += 6 * cube_index

   return primes_count


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



