Is there a name for the union of {prime numbers} and {integers that are not powers of integers}?

  • #1
Is there a name for the union of {prime numbers} and {integers that are not powers of integers}?

For example, we would include 2, 3, 5, 7, 11... And also 6, 10, 12...

But we exclude 2^n, 3^n, ... and 6^n , 10^n , etc.

What are some interesting contexts where this set crops up?
 

Answers and Replies

  • #2
A rather silly question, I now realize : The first set is a subset of the second one anyway. And they are just "not perfect powers".
 

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