Euler's Sum of Powers Conjecture/Historical Note

Historical Note on Euler's Sum of Powers Conjecture
This was proven false by the counterexample found by and  in $1966$, when they were using a computer to hunt for $5$th powers which were the sum of $5$ $5$th powers.

In one of the $4$ solutions they found, one of the contributing $5$th powers was $0^5$.

It was at that point it was realised that here was a counterexample to Euler's Sum of Powers Conjecture.

Since then, further counterexamples have been found, for various powers.