New answers tagged memory
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Extended comment
I ran this code several times, with different values for n, and using Map or Do as well as ParallelMap. Each time a plot was created and exported, Mathematica's memory in use increased by about 1.7MB. We can call this a 'leak', but it seems to be by design.
So, with n as 1000, and allowing for some memory for the front end and the kernel ...
-1
I think, "Fermat little theorem" can work on your problem. Also, you can find it here
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Reported, and forwarded to the developers. It is still there in v9
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