





from __future__ import annotations

SCREAMING_SNAKE_CASE_						   =       [True] * 1_0_0_0_0_0_1
SCREAMING_SNAKE_CASE_						   =       2
while i * i <= 1_0_0_0_0_0_0:
      if seive[i]:
            for j in range(i * i, 1_0_0_0_0_0_1, i):
                  SCREAMING_SNAKE_CASE_						   =       False
      i += 1



def    __lowercase   (      _SCREAMING_SNAKE_CASE	) ->   Optional[int]:


      '''simple docstring'''


      return seive[n]



def    __lowercase   (      _SCREAMING_SNAKE_CASE	) ->   Dict:


      '''simple docstring'''


      return any(digit in """02468""" for digit in str(_A	)	)



def    __lowercase   (      _SCREAMING_SNAKE_CASE = 1_00_00_00	) ->   str:


      '''simple docstring'''


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



def    __lowercase   (      ) ->   Dict:


      '''simple docstring'''


      return len(find_circular_primes()	)


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








from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
						if not (is_transformers_available() and is_torch_available() and is_transformers_version('''>=''', '''4.25.0''')):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ...utils.dummy_torch_and_transformers_objects import UnCLIPImageVariationPipeline, UnCLIPPipeline
else:
						from .pipeline_unclip import UnCLIPPipeline
						from .pipeline_unclip_image_variation import UnCLIPImageVariationPipeline
						from .text_proj import UnCLIPTextProjModel




