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 -