Power Values of Divisor Sums
Publication date
2012
Authors
Beukers, F.
Luca, Florian
Oort, F.
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Document Type
Article
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Abstract
We consider positive integers whose sum of divisors is a perfect power. This problem had already caught the interest of mathematicians from the 17th century like Fermat, Wallis and Frenicle. In this article we study this problem and some variations.We also give an example of a cube, larger than one, whose sum of divisors is again a cube.
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Citation
Beukers, F, Luca, F & Oort, F 2012, 'Power Values of Divisor Sums', The American mathematical monthly., vol. 119, no. 5, pp. 373-380. https://doi.org/10.4169/amer.math.monthly.119.05.373