RandomInteger[{min, max}]RandomInteger[max]RandomInteger[]RandomInteger[range, n]RandomInteger[range, {$n_1$, $n_2$, ...}]RandomInteger[{1, 5}]
RandomInteger[100, {2, 3}] // TableForm
Calling RandomInteger changes $RandomState:
previousState = $RandomState;
RandomInteger[]
$RandomState != previousState