Euler's Sum of Powers Conjecture
Famous False Conjecture
- $144^5 = 27^5 + 84^5 + 110^5 + 133^5$
Source of Name
This entry was named for Leonhard Paul Euler.
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.