Question: I am looking for two integers, and , such that . Can anyone help me to solve this problem using SageMath .
Because each dividing exactly divides and is mod , there are 16= ways to write as a sum of two squares. If you write as a sum of two fourth powers, that's just one of these:
As you can see, we didn't find any with the rep as a sum of two squares with each a square itself. So there are no such .
Same problem by brute force search...