Category:Euler Phi Function

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This category contains results about the Euler $\phi$ function.
Definitions specific to this category can be found in Definitions/Euler Phi Function.

Let $n \in \Z_{>0}$, that is, a strictly positive integer.


The Euler $\phi$ (phi) function is the arithmetic function $\phi: \Z_{>0} \to \Z_{>0}$ defined as:

$\map \phi n = $ the number of strictly positive integers less than or equal to $n$ which are prime to $n$


That is:

$\map \phi n = \card {S_n}: S_n = \set {k: 1 \le k \le n, k \perp n}$

Pages in category "Euler Phi Function"

The following 96 pages are in this category, out of 96 total.

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