
def      lowerCamelCase_					(							lowerCamelCase__      ,					lowerCamelCase__       ):
				if a < 0 or b < 0:
								raise ValueError("the value of both inputs must be positive"       )
				lowerCamelCase_         =     str(bin(lowerCamelCase__       )       )[2:]  # remove the leading "0b"
				lowerCamelCase_         =     str(bin(lowerCamelCase__       )       )[2:]
				lowerCamelCase_         =     max(len(lowerCamelCase__       )      ,					len(lowerCamelCase__       )       )
				return "0b" + "".join(
				    str(int("1" in (char_a, char_b)       )       )
				    for char_a, char_b in zip(a_binary.zfill(lowerCamelCase__       )      ,					b_binary.zfill(lowerCamelCase__       )       )       )


if __name__ == "__main__":
			import doctest

			doctest.testmod()




import math





def      lowerCamelCase_					(							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      lowerCamelCase_					(							lowerCamelCase__ = 1_0_0_0_1       ):

				try:
								lowerCamelCase_         =     int(lowerCamelCase__       )
				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(lowerCamelCase__       ) < nth:
								if is_prime(lowerCamelCase__       ):
												primes.append(lowerCamelCase__       )
												num += 1
								else:
												num += 1
				return primes[len(lowerCamelCase__       ) - 1]


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


