






'''simple docstring'''





from __future__ import annotations

__A							:							Optional[Any]  							=		[True] * 1_00_00_01
__A							:							Optional[Any]  							=		2
while i * i <= 1_00_00_00:
 if seive[i]:
  for j in range(i * i, 1_00_00_01, i):
   __A							:							Optional[int]  							=		False
 i += 1






def    lowerCamelCase_     (    lowercase__):
      return seive[n]






def    lowerCamelCase_     (    lowercase__):
      return any(digit in "02468" for digit in str(lowercase__))






def    lowerCamelCase_     (    lowercase__ = 1000000):
      lowerCamelCase__  =     [2]  # result already includes the number 2.
      for num in range(3				,     limit + 1				,     2):
            if is_prime(lowercase__) and not contains_an_even_digit(lowercase__):
                  lowerCamelCase__  =     str(lowercase__)
                  lowerCamelCase__  =     [int(str_num[j:] + str_num[:j]) for j in range(len(lowercase__))]
                  if all(is_prime(lowercase__) for i in list_nums):
                        result.append(lowercase__)
      return result






def    lowerCamelCase_     (    ):
      return len(find_circular_primes())


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









'''simple docstring'''





from ..utils import DummyObject, requires_backends
class 				lowercase       (							metaclass=_lowerCamelCase      ):


    '''simple docstring'''

    lowerCAmelCase__      				=							["flax", "transformers"]

    def __init__(					self     :     List[str]				,     *__lowerCamelCase     :     int				,     **__lowerCamelCase     :     Any     )							->							Optional[int]:

     '''simple docstring'''




     requires_backends(self				,     ["flax", "transformers"]     )

    @classmethod
    def    a__				(					cls     :     Any				,     *__lowerCamelCase     :     Optional[int]				,     **__lowerCamelCase     :     Dict     )							->							str:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )




    @classmethod
    def    a__				(					cls     :     str				,     *__lowerCamelCase     :     str				,     **__lowerCamelCase     :     Any     )							->							str:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )
class 				lowercase       (							metaclass=_lowerCamelCase      ):


    '''simple docstring'''

    lowerCAmelCase__      				=							["flax", "transformers"]

    def __init__(					self     :     str				,     *__lowerCamelCase     :     List[Any]				,     **__lowerCamelCase     :     int     )							->							List[str]:

     '''simple docstring'''




     requires_backends(self				,     ["flax", "transformers"]     )

    @classmethod
    def    a__				(					cls     :     Dict				,     *__lowerCamelCase     :     Any				,     **__lowerCamelCase     :     str     )							->							Optional[int]:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )




    @classmethod
    def    a__				(					cls     :     Any				,     *__lowerCamelCase     :     int				,     **__lowerCamelCase     :     Dict     )							->							int:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )
class 				lowercase       (							metaclass=_lowerCamelCase      ):


    '''simple docstring'''

    lowerCAmelCase__      				=							["flax", "transformers"]

    def __init__(					self     :     Dict				,     *__lowerCamelCase     :     str				,     **__lowerCamelCase     :     List[Any]     )							->							str:

     '''simple docstring'''




     requires_backends(self				,     ["flax", "transformers"]     )

    @classmethod
    def    a__				(					cls     :     Optional[int]				,     *__lowerCamelCase     :     Optional[int]				,     **__lowerCamelCase     :     Optional[Any]     )							->							Dict:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )




    @classmethod
    def    a__				(					cls     :     Optional[int]				,     *__lowerCamelCase     :     Dict				,     **__lowerCamelCase     :     List[str]     )							->							Dict:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )
class 				lowercase       (							metaclass=_lowerCamelCase      ):


    '''simple docstring'''

    lowerCAmelCase__      				=							["flax", "transformers"]

    def __init__(					self     :     int				,     *__lowerCamelCase     :     List[str]				,     **__lowerCamelCase     :     int     )							->							Optional[int]:

     '''simple docstring'''




     requires_backends(self				,     ["flax", "transformers"]     )

    @classmethod
    def    a__				(					cls     :     Any				,     *__lowerCamelCase     :     Tuple				,     **__lowerCamelCase     :     str     )							->							List[str]:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )




    @classmethod
    def    a__				(					cls     :     List[Any]				,     *__lowerCamelCase     :     List[str]				,     **__lowerCamelCase     :     List[Any]     )							->							int:

     '''simple docstring'''




     requires_backends(cls				,     ["flax", "transformers"]     )

