Solution
= Solution
For <coprime integers> $a,N$ with $N>1$, the <multiplicative order> of $a$ modulo $N$ is
$$
\boxed{\operatorname{ord}_N(a)
=\min\{r\geq1:a^r\equiv1\pmod N\}.}
$$
= Solution
For <coprime integers> $a,N$ with $N>1$, the <multiplicative order> of $a$ modulo $N$ is
$$
\boxed{\operatorname{ord}_N(a)
=\min\{r\geq1:a^r\equiv1\pmod N\}.}
$$