Given an integer
, denote by
the product of all positive integers
less than
and such that
divides
. For each
, find the remainder of
on division by
.
%V0
Given an integer ${n>1}$, denote by $P_{n}$ the product of all positive integers $x$ less than $n$ and such that $n$ divides ${x^2-1}$. For each ${n>1}$, find the remainder of $P_{n}$ on division by $n$.
Školjka