Primes as Sums of Fibonacci Numbers

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Primes as Sums of Fibonacci Numbers. / Spiegelhofer, Lukas; Drmota, Michael; Müllner, Clemens.
in: Memoirs of the American Mathematical Society, 01.09.2022.

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

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@article{4ec0f561aa814528a8e24ef9122aabf8,
title = "Primes as Sums of Fibonacci Numbers",
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.",
keywords = "prime numbers, Fibonacci numbers, level of distribution",
author = "Lukas Spiegelhofer and Michael Drmota and Clemens M{\"u}llner",
year = "2022",
month = sep,
day = "1",
language = "English",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Primes as Sums of Fibonacci Numbers

AU - Spiegelhofer, Lukas

AU - Drmota, Michael

AU - Müllner, Clemens

PY - 2022/9/1

Y1 - 2022/9/1

N2 - 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.

AB - 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.

KW - prime numbers

KW - Fibonacci numbers

KW - level of distribution

M3 - Article

JO - Memoirs of the American Mathematical Society

JF - Memoirs of the American Mathematical Society

SN - 0065-9266

ER -