Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2020
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2007.02697 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- In this paper, we show that the natural density $\mathcal{D}[(U_m)]$ of Ulam numbers $(U_m)$ satisfies $\mathcal{D}[(U_m)]=0$. That is, we show that for $(U_m)\subset [1,k]$ \begin{align} \lim \limits_{k\longrightarrow \infty}\frac{\left |(U_m)\cap [1,k]\right |}{k}=0.\nonumber \end{align}