




from ..utils import DummyObject, requires_backends
class       a__   ( metaclass=SCREAMING_SNAKE_CASE__				):
						_a							:   str =   ['torch', 'scipy']






						def __init__(       self		,      *_A		,      **_A      ):




											"""simple docstring"""



											requires_backends(self		,      ["torch", "scipy"]      )






						@classmethod
						def     __SCREAMING_SNAKE_CASE(       cls		,      *_A		,      **_A      ):




											"""simple docstring"""



											requires_backends(cls		,      ["torch", "scipy"]      )






						@classmethod
						def     __SCREAMING_SNAKE_CASE(       cls		,      *_A		,      **_A      ):




											"""simple docstring"""



											requires_backends(cls		,      ["torch", "scipy"]      )












import math







def      _a				(						SCREAMING_SNAKE_CASE_							:    int					):

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







def      _a				(						SCREAMING_SNAKE_CASE_							:    int = 1_00_01					):

					try:
										__lowerCAmelCase           =	int(SCREAMING_SNAKE_CASE_					)
					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."					)
					__lowerCAmelCase           =	[]
					__lowerCAmelCase           =	2
					while len(SCREAMING_SNAKE_CASE_					) < nth:
										if is_prime(SCREAMING_SNAKE_CASE_					):
															primes.append(SCREAMING_SNAKE_CASE_					)
															num += 1
										else:
															num += 1
					return primes[len(SCREAMING_SNAKE_CASE_					) - 1]


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




