






import math






def      _snake_case     (__lowercase):

   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(__lowercase) + 1)     ,   6):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True






def      _snake_case     (__lowercase = 10001):

   try:
      UpperCamelCase_						=  int(__lowercase)
   except (TypeError, ValueError):
      raise TypeError('Parameter nth must be int or castable to int.') from None
   if nth <= 0:
      raise ValueError('Parameter nth must be greater than or equal to one.')
   UpperCamelCase_						=  []
   UpperCamelCase_						=  2
   while len(__lowercase) < nth:
      if is_prime(__lowercase):
         primes.append(__lowercase)
         num += 1
      else:
         num += 1
   return primes[len(__lowercase) - 1]


if __name__ == "__main__":
 print(f'{solution() = }')













from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


snake_case__   :						Optional[int]													=   {
    """configuration_pegasus_x""": ["""PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP""", """PegasusXConfig"""],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 snake_case__   :						Dict													=   [
     """PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST""",
     """PegasusXForConditionalGeneration""",
     """PegasusXModel""",
     """PegasusXPreTrainedModel""",
 ]


if TYPE_CHECKING:
 from .configuration_pegasus_x import PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusXConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_pegasus_x import (
      PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST,
      PegasusXForConditionalGeneration,
      PegasusXModel,
      PegasusXPreTrainedModel,
  )


else:
 import sys

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





