
TL;DR
This paper proves that the set of numbers expressible as the sum of a prime and a Fibonacci number has a positive lower asymptotic density, indicating it is relatively common among natural numbers.
Contribution
It establishes that the set of sums of a prime and a Fibonacci number has positive lower asymptotic density, a new result in additive number theory.
Findings
The set of numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density.
This result implies such sums are relatively frequent among natural numbers.
Abstract
We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density.
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