






'''simple docstring'''





import math
from collections.abc import Generator






def    UpperCAmelCase__	(						lowerCamelCase  : int						):
   lowerCamelCase											=(i for i in range(1 ,(max_n + 1)						))
   for i in (n for n in numbers if n > 1):
      for j in range(2 ,lowerCamelCase						):
         if (i % j) == 0:
            break
      else:
         yield i






def    UpperCAmelCase__	(						lowerCamelCase  : int						):
   lowerCamelCase											=(i for i in range(1 ,(max_n + 1)						))
   for i in (n for n in numbers if n > 1):
      # only need to check for factors up to sqrt(i)
      lowerCamelCase											=int(math.sqrt(lowerCamelCase						)						) + 1
      for j in range(2 ,lowerCamelCase						):
         if (i % j) == 0:
            break
      else:
         yield i






def    UpperCAmelCase__	(						lowerCamelCase  : int						):
   lowerCamelCase											=(i for i in range(1 ,(max_n + 1) ,2						))
   # It's useless to test even numbers as they will not be prime
   if max_n > 2:
      yield 2  # Because 2 will not be tested, it's necessary to yield it now
   for i in (n for n in numbers if n > 1):
      lowerCamelCase											=int(math.sqrt(lowerCamelCase						)						) + 1
      for j in range(3 ,lowerCamelCase ,2						):
         # As we removed the even numbers, we don't need them now
         if (i % j) == 0:
            break
      else:
         yield i






def    UpperCAmelCase__	(						):
   from timeit import timeit

   lowerCamelCase											="""from __main__ import slow_primes, primes, fast_primes"""
   print(timeit("""slow_primes(1_000_000_000_000)""" ,setup=lowerCamelCase ,number=1_00_00_00						)						)
   print(timeit("""primes(1_000_000_000_000)""" ,setup=lowerCamelCase ,number=1_00_00_00						)						)
   print(timeit("""fast_primes(1_000_000_000_000)""" ,setup=lowerCamelCase ,number=1_00_00_00						)						)


if __name__ == "__main__":
   _UpperCAmelCase				:	Tuple    						=    int(input('Calculate primes up to:\n>> ').strip())
   for ret in primes(number):
      print(ret)
   benchmark()







from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


_UpperCAmelCase				:	List[str]    						=    {
    'configuration_unispeech_sat': ['UNISPEECH_SAT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'UniSpeechSatConfig'],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCAmelCase				:	Optional[Any]    						=    [
       'UNISPEECH_SAT_PRETRAINED_MODEL_ARCHIVE_LIST',
       'UniSpeechSatForAudioFrameClassification',
       'UniSpeechSatForCTC',
       'UniSpeechSatForPreTraining',
       'UniSpeechSatForSequenceClassification',
       'UniSpeechSatForXVector',
       'UniSpeechSatModel',
       'UniSpeechSatPreTrainedModel',
   ]

if TYPE_CHECKING:
   from .configuration_unispeech_sat import UNISPEECH_SAT_PRETRAINED_CONFIG_ARCHIVE_MAP, UniSpeechSatConfig

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_unispeech_sat import (
          UNISPEECH_SAT_PRETRAINED_MODEL_ARCHIVE_LIST,
          UniSpeechSatForAudioFrameClassification,
          UniSpeechSatForCTC,
          UniSpeechSatForPreTraining,
          UniSpeechSatForSequenceClassification,
          UniSpeechSatForXVector,
          UniSpeechSatModel,
          UniSpeechSatPreTrainedModel,
      )

else:
   import sys

   _UpperCAmelCase				:	Optional[Any]    						=    _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)