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A008850 Numbers n such that sum of divisors of n^2 is a cube. +0
4
1, 43098, 20746664124, 21531558370, 25933330155, 30519275171, 453393100534, 803844998180, 1233758294601, 2358796315843, 6260406046762, 7339897643091, 7540242750903, 8532869860592, 11879890160946, 17538398093508 (list; graph; listen)
OFFSET

1,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 9.

L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 1, p. 54.

Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 92.

I. Kaplansky, The challenges of Fermat, Wallis and Ozanam (and several related challenges): II. Fermat's second challenge, Preprint, 2002.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A008849.

Sequence in context: A062694 A147635 A014892 this_sequence A134450 A141085 A151623

Adjacent sequences: A008847 A008848 A008849 this_sequence A008851 A008852 A008853

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net). His search was complete only through a(2) = 43098. - Sep 15 1996.

Kaplansky gives two further numbers with this property: 2597942466059820 and 6847610254216117540. The first is probably new and the second is in Dickson.

I. Kaplansky and W. Jagy have verified that there are no other terms below 9*10^11. - Oct 13, 2002

The keyword "more" refers to the fact that there may be missing terms in the sequence above 9 * 10^11.

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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