Step 1 :Let \( U = \{1,2,3, \cdots\} \) and \( A = \{1,2,3, \cdots, 26\} \).
Step 2 :Use the roster method to write the set \( A^\prime \).
Step 3 :Without a clear definition of the universal set \( U \), we cannot determine the exact elements of \( A^\prime \).
Step 4 :If we assume that \( U \) contains all natural numbers, then \( A^\prime \) would contain all natural numbers greater than 26. But this is just an assumption.
Step 5 :\( \boxed{\text{Therefore, the final answer is undefined.}} \)