How many natural numbers are smaller than $2^{30}$ that are not perfect squares, and not perfect cubes, and not fifth perfect powers?
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3What happens when you try to use Inclusion-Exclusion in the standard way? – lulu May 07 '21 at 17:01
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And maybe first try with some (much) smaller number than $2^{30}$, to get a feel for how it works? – Hans Lundmark May 07 '21 at 17:24