Fibonacci numbers satisfy Benford’s law

And we don’t need too many elements of the Fibonacci sequence too see this.

The distribution of the first digits of the first n Fibonacci numbers

The distribution of the first digits of the first n Fibonacci numbers

After only 100 elements the relative frequencies start to look familiar.

First digit Rel. frequency
1 30%
2 18%
3 13%
4 9%
5 8%
6 6%
7 5%
8 7%
9 4%