Primes as Sums of Fibonacci Numbers
Research output: Contribution to journal › Article › Research › peer-review
Authors
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- Institute of Materials Science and Technology
Abstract
We prove that, for a large enough integer k, there exist prime numbers that are the sum of exactly k different, non-consecutive Fibonacci numbers.
Along the way, we prove that the level of distribution of the Zeckendorf sum-of-digits function equals 1.
Along the way, we prove that the level of distribution of the Zeckendorf sum-of-digits function equals 1.
Details
| Translated title of the contribution | Darstellung von Primzahlen als Summe von Fibonacci-Zahlen |
|---|---|
| Original language | English |
| Number of pages | 135 |
| Journal | Memoirs of the American Mathematical Society |
| Publication status | Accepted/In press - 1 Sept 2022 |
