input: Write a function to generate a list of all prime numbers between two given numbers using the Sieve of Eratosthenes algorithm. The function should return a list of prime numbers within the specified range.
  assert sieve_of_eratosthenes(1, 20)==[1, 2, 3, 5, 7, 11, 13, 17, 19]
  assert sieve_of_eratosthenes(50, 100)==[53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
  assert sieve_of_eratosthenes(1, 1)==[]
  assert sieve_of_eratosthenes(10, 11)==[11]
output: def sieve_of_eratosthenes(start, end):
      if start > end:
          return []
      max_num = end + 1
      sieve = [True] * max_num
      sieve[0] = sieve[1] = False
      for i in range(2, int(max_num**0.5) + 1):
          if sieve[i]:
              for j in range(i*i, max_num, i):
                  sieve[j] = False
      primes = [num for num in range(start, max_num) if sieve[num]]
      return primes