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92.32 A pair of insoluble Diophantine equations arising from an equilateral triangle

Published online by Cambridge University Press:  01 August 2016

Prithwijit De*
Affiliation:
University College Cork, Republic of Ireland, e-mail: de.prithwijit@gmail.com

Abstract

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Type
Notes
Copyright
Copyright © The Mathematical Association 2008

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References

1. Dickson, L. E., History of the theory of numbers, Vol. 2, Chelsea, New York (1971).Google Scholar
2. Bradley, C. J., Challenges in geometry: For mathematical olympians past and present, Oxford University Press (2005).Google Scholar
3. Sastry, K. R. S., Natural number solutions to 3 (p 4 + q 4 + r 4 + s 4) = p 2 q 2 + r 2 + s 2)2 , Mathematics and Computer Education 34 (2000) pp. 611.Google Scholar
4. Gardner, M., Mathematical carnival: a new round-up of tantalizers and puzzles from Scientific American, Vintage Books, New York (1977) pp. 5657 and 63.Google Scholar
5. Guy, R. K., Unsolved problems in number theory (2nd edn.), Springer Verlag (1994) pp. 181185.Google Scholar
6. Sharygin, I. F., Problems in plane geometry, Mir Publishers, Moscow, (1988).Google Scholar