Pisano period
= Pisano period
{wiki=Pisano_period}
The Pisano period, denoted as \\( \\pi(m) \\), is the period with which the sequence of Fibonacci numbers repeats modulo \\( m \\). In other words, if you take the Fibonacci sequence \\( F_0, F_1, F_2, \\ldots \\), and reduce each number modulo \\( m \\), the resulting sequence will eventually start repeating. The length of this repeating sequence is known as the Pisano period for \\( m \\).