Number Theory

    

Ulam Numbers Have Zero Logarithmic Density

Authors: Theophilus Agama

Determining the natural textit{density} of Ulam numbers remains an open question. We denote the sequence of all Ulam numbers by $U$. In this paper, we show for the textit{logarithmic} density of Ulam numbers $$mathcal{D}_{log}(U):=lim limits_{nlongrightarrow infty}frac{1}{log x}sum limits_{substack{nleq xin U}}frac{1}{n}=0.$$

Comments: 7 Pages. (Note by viXra Admin: Furher abstract speculations may not be accepted)

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[v1] 2025-01-10 19:27:32

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