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Euler's Totient function. Generated with Mathematica:

 

This diagram was created with Mathematica.

  ListPlot[EulerPhi[Range[1000]],
  PlotStyle -> {Hue[.6], PointSize[0.01]},
  AxesLabel -> {n, "φ(n)"},
  TextStyle -> {FontFamily -> "Times", FontSize -> 14}];

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