# On the sum of a prime and a Fibonacci number

```@article{Lee2010OnTS,
title={On the sum of a prime and a Fibonacci number},
author={K. S. Enoch Lee},
journal={arXiv: Number Theory},
year={2010}
}```
• K. S. E. Lee
• Published 31 October 2010
• Mathematics
• arXiv: Number Theory
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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Romanov proved that the proportion of positive integers which can be represented as a sum of a prime and a power of 2 is positive. We establish similar results for integers of the form

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A locking mechanism for vehicle safety belts of the type in which a strap of the belt is automatically retracted into a housing and coiled up on a reel when the belt is not in use, to lock the reel