


"""simple docstring"""





from math import isqrt





def      lowercase__						(	lowerCamelCase  :	int					)       ->  List[str]:
  return all(number % divisor != 0 for divisor in range(2					,						isqrt(lowerCamelCase					) + 1					)					)





def      lowercase__						(	lowerCamelCase  :	List[str] = 1_0**6					)       ->  Tuple:
  lowerCAmelCase__     :     int										=       0
  lowerCAmelCase__     :     Union[str, Any]										=       1
  lowerCAmelCase__     :     Optional[int]										=       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() = }""")

"""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(		):
							A__       :     List[str]								=			2
							while True:
														if is_prime(lowerCAmelCase							):
																					yield num
														num += 1

def  _A(		lowerCAmelCase = 200_0000							):
							return sum(takewhile(lambda lowerCAmelCase							: x < n			,  prime_generator()							)							)


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





