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A Function in the Number Theory

Florentin Smarandache
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Abstract

In this paper one constructs a function $η$ with the property that if $n$ is non-null then $η(n)$ is the smallest integer such that $η(n)!$ is divisible by $n$. In order to calculate it one considers, for each prime $p$, the associated function $η_{p}(n)$ in a power base.

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Florentin Smarandache. 2004-05-08. A Function in the Number Theory. https://arxiv.org/abs/math/0405143

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