def  snake_case						(__lowercase						)	->	list[int]:

						'''simple docstring'''



						if num <= 0:
												raise ValueError("Input must be a positive integer"						)

						_snake_case						:					Any    =   [True] * (num + 1)

						_snake_case						:					str    =   2
						while p * p <= num:
												if primes[p]:
																		for i in range(p * p ,      num + 1 ,      __lowercase						):
																								_snake_case						:					Optional[int]    =   False
												p += 1

						return [prime for prime in range(2 ,      num + 1						) if primes[prime]]


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				__SCREAMING_SNAKE_CASE						:   Any         =			int(input('Enter a positive integer: ').strip())
				print(prime_sieve_eratosthenes(user_num))
def  snake_case						(__lowercase						)	->	bool:

						'''simple docstring'''



						_snake_case						:					Dict    =   0
						for ch in input_str:
												_snake_case						:					int    =   ord(__lowercase						)
												_snake_case						:					List[Any]    =   pow(2 ,      __lowercase						)

												# If we already turned on bit for current character's unicode
												if bitmap >> ch_unicode & 1 == 1:
																		return False
												bitmap |= ch_bit_index_on
						return True


if __name__ == "__main__":
				import doctest

				doctest.testmod()