





from string import ascii_uppercase

lowercase_		:				Optional[int]				=						{str(ord(c) - 55): c for c in ascii_uppercase}

def       A__(		__lowerCAmelCase	,			__lowerCAmelCase ):
				if isinstance(__lowerCAmelCase	,			__lowerCAmelCase ):
								raise TypeError('int() can\'t convert non-string with explicit base' )
				if num < 0:
								raise ValueError('parameter must be positive int' )
				if isinstance(__lowerCAmelCase	,			__lowerCAmelCase ):
								raise TypeError('\'str\' object cannot be interpreted as an integer' )
				if isinstance(__lowerCAmelCase	,			__lowerCAmelCase ):
								raise TypeError('\'float\' object cannot be interpreted as an integer' )
				if base in (0, 1):
								raise ValueError('base must be >= 2' )
				if base > 36:
								raise ValueError('base must be <= 36' )
				_snake_case :			Any  						=   ''
				_snake_case :			int  						=   0
				_snake_case :			int  						=   0
				while div != 1:
								_snake_case						,			_snake_case :			str  						=   divmod(__lowerCAmelCase	,			__lowerCAmelCase )
								if base >= 11 and 9 < mod < 36:
												_snake_case :			List[Any]  						=   ALPHABET_VALUES[str(__lowerCAmelCase )]
								else:
												_snake_case :			List[str]  						=   str(__lowerCAmelCase )
								new_value += actual_value
								_snake_case :			Any  						=   num // base
								_snake_case :			Dict  						=   div
								if div == 0:
												return str(new_value[::-1] )
								elif div == 1:
												new_value += str(__lowerCAmelCase )
												return str(new_value[::-1] )

				return new_value[::-1]


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		for base in range(2, 37):
				for num in range(1000):
						assert int(decimal_to_any(num, base), base) == num, (
						    num,
						    base,
						    decimal_to_any(num, base),
						    int(decimal_to_any(num, base), base),
						)













import itertools
import math

def       A__(		__lowerCAmelCase ):

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

def       A__(		):
				_snake_case :			Optional[Any]  						=   2
				while True:
								if is_prime(__lowerCAmelCase ):
												yield num
								num += 1

def       A__(		__lowerCAmelCase = 1_00_01 ):
				return next(itertools.islice(prime_generator()	,			nth - 1	,			__lowerCAmelCase ) )


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






