input: Write a function to generate a list of prime numbers between two given numbers using the Sieve of Eratosthenes algorithm. The function should return a list of prime numbers. If the given range is invalid, return an empty list.
  assert sieve_of_eratosthenes(1, 20) == [2, 3, 5, 7, 11, 13, 17, 19]
  assert sieve_of_eratosthenes(5, 30) == [5, 7, 11, 13, 17, 19, 23, 29]
  assert sieve_of_eratosthenes(10, 10) == []
  assert sieve_of_eratosthenes(-5, 5) == [2, 3, 5]
  assert sieve_of_eratosthenes(20, 1) == []
output: def sieve_of_eratosthenes(start, end):
      if start > end:
          return []
      if start < 0:
          start = 0
      if end < 2:
          return []
      sieve = [True] * (end + 1)
      sieve[0] = sieve[1] = False
      for i in range(2, int(end**0.5) + 1):
          if sieve[i]:
              for j in range(i*i, end + 1, i):
                  sieve[j] = False
      return [i for i in range(start, end + 1) if sieve[i]]