Primes as Sums of Fibonacci Numbers
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In: Memoirs of the American Mathematical Society, 01.09.2022.
Research output: Contribution to journal › Article › Research › peer-review
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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 -
