Determine all integers
such that for all pairs
of different positive integers not greater than
, the number
is not divisible by
.
%V0
Determine all integers $k\ge 2$ such that for all pairs $(m,\,n)$ of different positive integers not greater than $k$, the number $n^{n-1}-m^{m-1}$ is not divisible by $k$.
Školjka