



"""simple docstring"""
def      __magic_name__				(							lowercase = 10 ):
   if not isinstance(lowercase							,			lowercase ) or n < 0:
      raise ValueError("""Invalid input""" )
   SCREAMING_SNAKE_CASE_: List[Any]     			=10**n
   SCREAMING_SNAKE_CASE_: str     			=2_8433 * (pow(2							,			783_0457							,			lowercase )) + 1
   return str(number % modulus )


if __name__ == "__main__":
   from doctest import testmod

   testmod()
   print(f"""{solution(1_0) = }""")








"""simple docstring"""
def      __magic_name__				(							lowercase = 200_0000 ):
   SCREAMING_SNAKE_CASE_: List[Any]     			=[0 for i in range(n + 1 )]
   SCREAMING_SNAKE_CASE_: Union[str, Any]     			=1
   SCREAMING_SNAKE_CASE_: Optional[Any]     			=1

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


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



