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An Elementary Proof of Girard's Theorem

Published online by Cambridge University Press:  31 October 2008

A. C. Aitken
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Girard enunciated in 1625 the following celebrated theorem, which is associated with the name of Fermat:

Every prime of the form 4m + 1 is the sum of two squares in one way only, and no prime of the form 4m - 1 is a factor of the sum of two squares that are not both multiples of that prime.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 22 , May 1924 , pp. 3 - 7
Copyright
Copyright © Edinburgh Mathematical Society 1924