





'''simple docstring'''

import random

from .binary_exp_mod import bin_exp_mod

def 						__magic_name__       (							__UpperCAmelCase							,	__UpperCAmelCase=1000      )						->					Any:

   '''simple docstring'''







   if n < 2:
      return False

   if n % 2 == 0:
      return n == 2

   # this means n is odd
   __SCREAMING_SNAKE_CASE      							=       n - 1
   __SCREAMING_SNAKE_CASE      							=       0
   while d % 2 == 0:
      d /= 2
      exp += 1

   # n - 1=d*(2**exp)
   __SCREAMING_SNAKE_CASE      							=       0
   while count < prec:
      __SCREAMING_SNAKE_CASE      							=       random.randint(2							,	n - 1      )
      __SCREAMING_SNAKE_CASE      							=       bin_exp_mod(__UpperCAmelCase							,	__UpperCAmelCase							,	__UpperCAmelCase      )
      if b != 1:
         __SCREAMING_SNAKE_CASE      							=       True
         for _ in range(__UpperCAmelCase      ):
            if b == n - 1:
               __SCREAMING_SNAKE_CASE      							=       False
               break
            __SCREAMING_SNAKE_CASE      							=       b * b
            b %= n
         if flag:
            return False
         count += 1
   return True


if __name__ == "__main__":
    a        =						abs(int(input("Enter bound : ").strip()))
    print("Here's the list of primes:")
    print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))












'''simple docstring'''

from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

a        =						[
    "python",
    "tqdm",
    "regex",
    "requests",
    "packaging",
    "filelock",
    "numpy",
    "tokenizers",
    "huggingface-hub",
    "safetensors",
    "accelerate",
    "pyyaml",
]

for pkg in pkgs_to_check_at_runtime:
    if pkg in deps:
        if pkg == "tokenizers":
            # must be loaded here, or else tqdm check may fail
            from .utils import is_tokenizers_available

            if not is_tokenizers_available():
                continue  # not required, check version only if installed
        elif pkg == "accelerate":
            # must be loaded here, or else tqdm check may fail
            from .utils import is_accelerate_available

            # Maybe switch to is_torch_available in the future here so that Accelerate is hard dep of
            # Transformers with PyTorch
            if not is_accelerate_available():
                continue  # not required, check version only if installed

        require_version_core(deps[pkg])
    else:
        raise ValueError(F'''can\'t find {pkg} in {deps.keys()}, check dependency_versions_table.py''')

def 						__magic_name__       (							__UpperCAmelCase							,	__UpperCAmelCase=None      )						->					Optional[Any]:

   '''simple docstring'''







   require_version(deps[pkg]							,	__UpperCAmelCase      )





