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Sums of squares of digits

Published online by Cambridge University Press:  01 August 2016

A. F. Beardon
A. F. Beardon*
Affiliation:
DPMMS, 16 Mill Lane, Cambridge CB2 1SB, e-mail: afb@dpmms.cam.ac.uk
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Extract

This paper contains many opportunities to investigate, conjecture and verify results by writing simple computer programs, and the reader is strongly urged to participate in this way throughout.

For each positive integer n, let F(n) be the sum of the squares of the digits of n; for example,

Type
Articles
Information
The Mathematical Gazette , Volume 82 , Issue 495 , November 1998 , pp. 379 - 388
Copyright
Copyright © The Mathematical Association 1998

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References

1. Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers, (5th edition), Oxford University Press (1979).Google Scholar
2. Davenport, H., The higher arithmetic, (6th edition), Cambridge University Press (1992).Google Scholar
3. Mordell, L. J., Diophantine equations, Academic Press (1969).Google Scholar