input: Write a function to print out the first n prime numbers using the Sieve of Eratosthenes algorithm.
  
  def print_first_n_primes(n):
      primes = sieve_of_eratosthenes(1000)  # Assuming the upper limit is set to 1000, adjust as necessary
      prime_numbers = primes[:n]
      for prime in prime_numbers:
          print(prime)
  
  def sieve_of_eratosthenes(limit):
      primes = [True] * (limit + 1)
      primes[0] = primes[1] = False
      for i in range(2, int(limit**0.5) + 1):
          if primes[i]:
              for j in range(i * i, limit + 1, i):
                  primes[j] = False
      prime_numbers = []
      for i in range(len(primes)):
          if primes[i]:
              prime_numbers.append(i)
      return prime_numbers
  
  # Assert test cases
  assert print_first_n_primes(5) == [2, 3, 5, 7, 11]  # No assert statement can directly check print output, so including expected list for reference
  assert print_first_n_primes(10) == [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]  # No assert statement can directly check print output, so including expected list for reference
output: def print_first_n_primes(n):
      limit = 1000  # Assuming the upper limit is set to 1000, adjust as necessary
      primes = [True] * (limit + 1)
      primes[0] = primes[1] = False
      for i in range(2, int(limit**0.5) + 1):
          if primes[i]:
              for j in range(i * i, limit + 1, i):
                  primes[j] = False
      prime_numbers = []
      for i in range(len(primes)):
          if primes[i]:
              prime_numbers.append(i)
      prime_numbers = prime_numbers[:n]
      for prime in prime_numbers:
          print(prime)