def 					_snake_case	(  __snake_case						):
					_UpperCamelCase			     =     int(__snake_case						)
					if decimal in (0, 1):  # Exit cases for the recursion
										return str(__snake_case						)
					_UpperCamelCase     ,    _UpperCamelCase			     =     divmod(__snake_case  ,     2						)
					return binary_recursive(__snake_case						) + str(__snake_case						)
def 					_snake_case	(  __snake_case						):
					_UpperCamelCase			     =     str(__snake_case						).strip()
					if not number:
										raise ValueError('''No input value was provided'''						)
					_UpperCamelCase			     =     '''-''' if number.startswith('''-'''						) else ''''''
					_UpperCamelCase			     =     number.lstrip('''-'''						)
					if not number.isnumeric():
										raise ValueError('''Input value is not an integer'''						)
					return f"""{negative}0b{binary_recursive(int(__snake_case						)						)}"""


if __name__ == "__main__":
					from doctest import testmod

					testmod()


from __future__ import annotations

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


__A							=[num for num in range(3, 1_0_0_0_0_1, 2) if not is_prime(num)]





def      lowerCamelCase_					(							lowerCamelCase__       ):
				if not isinstance(lowerCamelCase__      ,					lowerCamelCase__       ):
								raise ValueError("n must be an integer"       )
				if n <= 0:
								raise ValueError("n must be >= 0"       )

				lowerCamelCase_         =     []
				for num in range(len(lowerCamelCase__       )       ):
								lowerCamelCase_         =     0
								while 2 * i * i <= odd_composites[num]:
												lowerCamelCase_         =     odd_composites[num] - 2 * i * i
												if is_prime(lowerCamelCase__       ):
																break
												i += 1
								else:
												list_nums.append(odd_composites[num]       )
												if len(lowerCamelCase__       ) == n:
																return list_nums

				return []





def      lowerCamelCase_					(							):
				return compute_nums(1       )[0]


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


