input: Write a function to identify special numbers that are prime, perfect square, Fibonacci numbers and divisible by 5 within a given range.
  assert identify_special_numbers(1, 1000) == []
  assert identify_special_numbers(1, 50) == []
  assert identify_special_numbers(1, 5000) == []
output: def identify_special_numbers(start, end):
      def is_prime(n):
          if n < 2:
              return False
          for i in range(2, int(n**0.5) + 1):
              if n % i == 0:
                  return False
          return True
  
      def is_perfect_square(n):
          return int(n**0.5)**2 == n
  
      def is_fibonacci(n):
          x1 = 5 * n * n + 4
          x2 = 5 * n * n - 4
          return is_perfect_square(x1) or is_perfect_square(x2)
      
      special_numbers = []
      for num in range(start, end + 1):
          if (is_prime(num) and is_perfect_square(num) and 
              is_fibonacci(num) and num % 5 == 0):
              special_numbers.append(num)
      
      return special_numbers