Wikipedia wrote:Zeckendorf's theorem states that every positive integer can be represented uniquely as the sum of one or more distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers.

1 = 1

2 = 10

3 = 100

4 = 101

5 = 1000

6 = ...?

Just for reference, and those unfamiliar with the Fibonacci sequence who want to play, the first few Fibonacci numbers are:

1

2

3

5

8

13

21

34

55

89

144

233

377

610

987

1597

2584

4181

6765

10946

17711

That should do us just fine, for now...