





import math



def 				lowerCAmelCase_ (							A_):

    if 1 < number < 4:
        # 2 and 3 are primes
        return True
    elif number < 2 or number % 2 == 0 or number % 3 == 0:
        # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
        return False

    # All primes number are in format of 6k +/- 1
    for i in range(5    ,int(math.sqrt(A_) + 1)    ,6):
        if number % i == 0 or number % (i + 2) == 0:
            return False
    return True



def 				lowerCAmelCase_ (							A_ = 0.1):
    UpperCamelCase__:	str					=     3
    UpperCamelCase__:	Union[str, Any]					=     3

    while primes / (2 * j - 1) >= ratio:
        for i in range(j * j + j + 1    ,(j + 2) * (j + 2)    ,j + 1):
            primes += is_prime(A_)
        j += 2
    return j


if __name__ == "__main__":
   import doctest

   doctest.testmod()








from typing import TYPE_CHECKING

from ...file_utils import _LazyModule, is_torch_available
from ...utils import OptionalDependencyNotAvailable


A__:    Any  	=	{
    '''configuration_gpt_neox_japanese''': ['''GPT_NEOX_JAPANESE_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''GPTNeoXJapaneseConfig'''],
    '''tokenization_gpt_neox_japanese''': ['''GPTNeoXJapaneseTokenizer'''],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   A__:    Union[str, Any]  	=	[
       '''GPT_NEOX_JAPANESE_PRETRAINED_MODEL_ARCHIVE_LIST''',
       '''GPTNeoXJapaneseForCausalLM''',
       '''GPTNeoXJapaneseLayer''',
       '''GPTNeoXJapaneseModel''',
       '''GPTNeoXJapanesePreTrainedModel''',
   ]


if TYPE_CHECKING:
   from .configuration_gpt_neox_japanese import GPT_NEOX_JAPANESE_PRETRAINED_CONFIG_ARCHIVE_MAP, GPTNeoXJapaneseConfig
   from .tokenization_gpt_neox_japanese import GPTNeoXJapaneseTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_gpt_neox_japanese import (
          GPT_NEOX_JAPANESE_PRETRAINED_MODEL_ARCHIVE_LIST,
          GPTNeoXJapaneseForCausalLM,
          GPTNeoXJapaneseLayer,
          GPTNeoXJapaneseModel,
          GPTNeoXJapanesePreTrainedModel,
      )


else:
   import sys

   A__:    str  	=	_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)

