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Abstract
We prove that any set $A\subset \mathbb{N}$ of positive upper density contains a finite $S\subset A$ such that $\sum_{n\in S}\frac{1}{n}=1$, answering a question of Erdős and Graham.
The quoted sentence is an informal description of "positive density", and you can find the definition of density at https://en.wikipedia.org/wiki/Natural_density, or you can take a look at the first page of the source material at https://arxiv.org/pdf/2112.03726.pdf. In fact…
The quoted sentence is an informal description of "positive density", and you can find the definition of density at https://en.wikipedia.org/wiki/Natural_density, or you can take a look at the first page of the source material at https://arxiv.org/pdf/2112.03726.pdf. In fact…
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