def sieve(n: int) -> list:
primes = [False, False] + [True] * (n - 1)
i = 2
while i * i <= n:
if not primes[i]:
i += 1
continue
for j in range(2 * i, n + 1, i):
primes[j] = False
i += 1
return primes
def print_prime_numbers(primes: list):
for i, is_prime in enumerate(primes):
if is_prime:
print(i)
n = 100
primes = sieve(n)
print_prime_numbers(primes)