


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







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







def 	SCREAMING_SNAKE_CASE_						(      )     ->		Iterator[int]:

       """simple docstring"""

       a_ :		Optional[int]							=  2
       while True:
              if is_prime(__A    ):
                     yield num
              num += 1







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int = 2_00_00_00    )     ->		int:

       """simple docstring"""

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


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






def 	SCREAMING_SNAKE_CASE_						(      __A			:      int  ,   __A			:      int    )     ->		int:

       """simple docstring"""

       while b:
              a_							,		a_ :		int							=  b, a % b
       return a







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int  ,   __A			:      int    )     ->		int:

       """simple docstring"""

       return a if b == 0 else euclidean_gcd_recursive(__A  ,   a % b    )







def 	SCREAMING_SNAKE_CASE_						(      )     ->		str:

       """simple docstring"""

       print(F"""euclidean_gcd(3, 5) = {euclidean_gcd(3  ,   5    )}"""    )
       print(F"""euclidean_gcd(5, 3) = {euclidean_gcd(5  ,   3    )}"""    )
       print(F"""euclidean_gcd(1, 3) = {euclidean_gcd(1  ,   3    )}"""    )
       print(F"""euclidean_gcd(3, 6) = {euclidean_gcd(3  ,   6    )}"""    )
       print(F"""euclidean_gcd(6, 3) = {euclidean_gcd(6  ,   3    )}"""    )

       print(F"""euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3  ,   5    )}"""    )
       print(F"""euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5  ,   3    )}"""    )
       print(F"""euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1  ,   3    )}"""    )
       print(F"""euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3  ,   6    )}"""    )
       print(F"""euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6  ,   3    )}"""    )


if __name__ == "__main__":
   main()


