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TWIN SQUAREFUL NUMBERS

Part of: Diophantine equations Sequences and sets

Published online by Cambridge University Press:  19 September 2012

TSZ HO CHAN
TSZ HO CHAN*
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA (email: [email protected])
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Abstract

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A number is squareful if the exponent of every prime in its prime factorization is at least two. In this paper, we give, for a fixed $l$, the number of pairs of squareful numbers $n$, $n+l$ such that $n$is less than a given quantity.

Keywords

squareful numbersPell equationThue equation

MSC classification

Secondary: 11B05: Density, gaps, topology 11D25: Cubic and quartic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 43 - 51
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc.

References

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