In number theory, the nth Pisano period, written π(n), is the period with which the sequence of Fibonacci numbers, modulo n repeats. For example, the Fibonacci numbers modulo 3 are 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, etc., with the first eight numbers repeating, so π(3) = 8.
Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The existence of periodic functions in Fibonacci numbers was noted by Joseph Louis Lagrange in 1774.
Read more about Pisano Period: Tables, Sums, Powers of 10, Cultural References, Fibonacci Integer Sequences Modulo n
Famous quotes containing the word period:
“When we suffer anguish we return to early childhood because that is the period in which we first learnt to suffer the experience of total loss. It was more than that. It was the period in which we suffered more total losses than in all the rest of our life put together.”
—John Berger (b. 1926)