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Powerfree


A positive integer n is kth powerfree if there is no number d such that d^k|n (d^k divides n), i.e., there are no kth powers or higher in the prime factorization of n. A number which is free of all powers is therefore squarefree.


See also

Biquadratefree, Cubefree, Prime Number, Squarefree

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References

Baake, M.; Moody, R. V.; and Pleasants, P. A. B. "Diffraction from Visible Lattice Points and kth Power Free Integers." 19 Jun 1999. http://arxiv.org/abs/math.MG/9906132.

Referenced on Wolfram|Alpha

Powerfree

Cite this as:

Weisstein, Eric W. "Powerfree." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Powerfree.html

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