# Zeckendorf's theorem

> theorem 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 doesn’t include any two consecutive Fibonacci numbers

**Wikidata**: [Q1188392](https://www.wikidata.org/wiki/Q1188392)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Zeckendorf's_theorem)  
**Source**: https://4ort.xyz/entity/zeckendorf-s-theorem


## References

1. Freebase Data Dumps. 2013