



import math



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

 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    snake_case_				(    _SCREAMING_SNAKE_CASE = 1_0_0_0_1   ):

 try:
  __lowercase		       =			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."   )
 __lowercase		       =			[]
 __lowercase		       =			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() = }''')








def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# bit count represents no. of bits in the gray code
	if bit_count < 0:
		raise ValueError("The given input must be positive"   )

	# get the generated string sequence
	__lowercase		       =			gray_code_sequence_string(_SCREAMING_SNAKE_CASE   )
	#
	# convert them to integers
	for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
		__lowercase		       =			int(sequence[i]  ,	2   )

	return sequence



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# The approach is a recursive one
	# Base case achieved when either n = 0 or n=1
	if bit_count == 0:
		return ["0"]

	if bit_count == 1:
		return ["0", "1"]

	__lowercase		       =			1 << bit_count  # defines the length of the sequence
	# 1<< n is equivalent to 2^n

	# recursive answer will generate answer for n-1 bits
	__lowercase		       =			gray_code_sequence_string(bit_count - 1   )

	__lowercase		       =			[]

	# append 0 to first half of the smaller sequence generated
	for i in range(seq_len // 2   ):
		__lowercase		       =			"0" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	# append 1 to second half ... start from the end of the list
	for i in reversed(range(seq_len // 2   )   ):
		__lowercase		       =			"1" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	return sequence


if __name__ == "__main__":
	import doctest

	doctest.testmod()



