





"""simple docstring"""



from ..utils import DummyObject, requires_backends






class 						__snake_case   (						metaclass=SCREAMING_SNAKE_CASE__	):





 """simple docstring"""


 _lowerCamelCase								=	["""torch""", """torchsde"""]

 def __init__(       self   ,		*__lowerCamelCase   ,		**__lowerCamelCase    ):



     '''simple docstring'''




     requires_backends(self   ,		['''torch''', '''torchsde''']    )

 @classmethod
 def    UpperCamelCase__(       cls   ,		*__lowerCamelCase   ,		**__lowerCamelCase    ):



     '''simple docstring'''




     requires_backends(cls   ,		['''torch''', '''torchsde''']    )







 @classmethod
 def    UpperCamelCase__(       cls   ,		*__lowerCamelCase   ,		**__lowerCamelCase    ):



     '''simple docstring'''




     requires_backends(cls   ,		['''torch''', '''torchsde''']    )











"""simple docstring"""



def 						__lowercase	(  snake_case_    :    int = 2000000		)  ->int:



    '''simple docstring'''







    __A       :		List[Any]							=	[0 for i in range(n + 1		)]
    __A       :		str							=	1
    __A       :		Dict							=	1

    for i in range(2							,int(n**0.5		) + 1		):
        if primality_list[i] == 0:
            for j in range(i * i							,n + 1							,snake_case_		):
                __A       :		List[Any]							=	1
    __A       :		Union[str, Any]							=	0
    for i in range(snake_case_		):
        if primality_list[i] == 0:
            sum_of_primes += i
    return sum_of_primes


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




