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The Eureka theorem of Gauss

Published online by Cambridge University Press:  15 February 2024

Stan Dolan
Stan Dolan*
Affiliation:
4 Orchard Close, Charmouth, DT6 6RS e-mail: stan@standolan.co.uk
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Extract

On 10th July 1796, when he was still a teenager, Gauss famously wrote EYPHKA! in his diary when recording the completion of a proof that every positive integer is the sum of at most three triangular numbers.

Type
Articles
Information
The Mathematical Gazette , Volume 108 , Issue 571 , March 2024 , pp. 94 - 104
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Copyright
© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Gauss, C. F., Disquisitiones arithmeticae, Yale Univ Press (1966).Google Scholar
Flath, D. E., Introduction to number theory, Wiley (1988).Google Scholar
Dolan, S. W., Nint reciprocity, Math. Gaz. 98 (July 2014), pp. 317–319.CrossRefGoogle Scholar
Cox, D. A., Primes of the form x 2 + ny 2, Wiley (2013).Google Scholar