How to use the Fibonacci Calculator
- Enter the position n (F(0) = 0, F(1) = 1).
- Read F(n) and its number of digits.
- Tick the option to list the sequence.
What does this tool do?
Each Fibonacci number is the sum of the two before it: 0, 1, 1, 2, 3, 5, 8, 13… The sequence appears in nature — in sunflower seed spirals, pine cones and branching patterns — and in computer science and finance.
The ratio of consecutive Fibonacci numbers gets closer and closer to the golden ratio φ ≈ 1.6180339887. Big values are calculated exactly with arbitrary-precision integers.
Why use it?
- Exact even for thousands of digits.
- Lists the sequence.
- Shows the golden-ratio link.
The formula
F(0) = 0, F(1) = 1
F(n) = F(n − 1) + F(n − 2)
Privacy
The calculation happens instantly in your browser. The numbers you enter are not sent to our servers or saved. There's no account to create and nothing to install.
Last reviewed by the M2Toolkit team.