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## Main Question or Discussion Point

I would like to know if there is an official name for the class of integers that are (not) perfect powers. A perfect power is a number that can be expressed as x

I am actually exploring the Gaussian integers, and I assume these concepts apply equally to the Gaussian integers as they do to the rational integers.

Thanks!

-Jeffrey

^{n}, where x and n are both integers > 1. I have been calling these integers "roots" - since they do not have any integer roots of their own, and they are the roots of their own integer powers.I am actually exploring the Gaussian integers, and I assume these concepts apply equally to the Gaussian integers as they do to the rational integers.

Thanks!

-Jeffrey