I am using ParallelTable to generate couples {j,fun[j]} which then I plot with ListLogLogPlot, but because of the loglog scale all points pile up at the far right of the plot.

How can I get equally spaced points?

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    $\begingroup$ Generate points according to {b^j,fun[b^j]} for some b? $\endgroup$ – Lukas Lang Jul 10 '18 at 19:58

You can use PowerRange

 Transpose[{#, #}] &@PowerRange[1, 10^6]
 , PlotTheme -> "Scientific"
 , FrameTicks -> Automatic
 , ScalingFunctions -> {"Log10", "Log10"}

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Inevitably, if you Google that function, you get something else...

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