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Triangular Square Numbers: a Postscript

Published online by Cambridge University Press:  03 November 2016

D. A. Q.
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Extract

The article by Mr. D. C. D. Potter in Gazette LVI, No. 396 (May 1972), pp. 109-10 attracted a number of interesting letters. We cannot print all of these in full, but the main points are included in the following extracts.

First, Dr. K. Szymiczek of the Silesian University, Katowice, Poland (writing from Cambridge) offered some information on the history of the problem. “According to L. E. Dickson, L. Euler was the first to show that there are infinitely many square triangular numbers and S. Roberts proved in 1879 that Euler's formula gives all square triangular numbers ([1], pp. 13, 27).”

Type
Research Article
Information
The Mathematical Gazette , Volume 56 , Issue 398 , December 1972 , pp. 311 - 314
Copyright
Copyright © Mathematical Association 1972

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References

1. Dickson, L. E.: History of the Theory of Numbers, Vol. II. Carnegie Institute, Washington (1920).Google Scholar
2. Davenport, H.: The Higher Arithmetic. Hutchinson University Library (2nd edition, 1962).Google Scholar
3. Heath, T. L.: Greek Mathematics, Vol. I. Oxford (1921).Google Scholar
4. Sierpinski, W.: A Selection of Problems in the Theory of Numbers. Pergamon (1964).Google Scholar