Question 9
One of Euler’s conjectures was disproved in the $1960$s by three American mathematicians when they showed there was a positive integer $n$ such that $$
133^5+110^5+84^5+27^5=n^5.
$$ Find the value of $n.$
133^5+110^5+84^5+27^5=n^5.
$$ Find the value of $n.$