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arxiv: 1905.00533 · v2 · pith:GO53NYYSnew · submitted 2019-05-02 · 🧮 math.NT

Cardinality of a floor function set

classification 🧮 math.NT
keywords cardinalitydiscusselementsfloorfunctionintegerlfloorpositive
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Fix a positive integer X. We quantify the cardinality of the set $\{\lfloor X/n \rfloor\}_{n=1}^X$. We discuss restricting the set to those elements that are prime, semiprime or similar.

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