Modular arithmetic | Fibonacci numbers

Pisano period

In number theory, the nth Pisano period, written as π(n), is the period with which the sequence of Fibonacci numbers taken modulo n repeats. 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. (Wikipedia).

Pisano period
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Related pages

Order (group theory) | Hexadecimal | Fibonacci number | Chinese remainder theorem | Zero of a function | Finite field | Zero divisor | Quadratic residue | Generalizations of Fibonacci numbers | Jacobsthal number | Periodic function | Pell number | Sequence | General linear group | Metallic mean | Counterexample | Quadratic reciprocity | Multiplicative order | Natural number | Lucas number | Recurrence relation | Integer | Divisor | Cyclic group | Finite ring | Algebraic number theory | Number theory | Prime power | Integer sequence | Wall–Sun–Sun prime | Prime number | Fibonacci | Least common multiple | Parity (mathematics) | Matrix (mathematics) | Modular arithmetic | Invertible matrix