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The Sixteenth Power Residue Character of 2

Published online by Cambridge University Press:  20 November 2018

A. L. Whiteman
A. L. Whiteman*
Affiliation:
The Institute for Advanced Study and University of Southern California
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The problem of giving a criterion for the eth power residue character of 2 has long interested number theorists. This paper is primarilyconcerned with the cases e = 4, 8 and 16. Gauss (8) proved that 2 is a biquadratic residue of a prime p of the form 4n + 1 if and only if p is representable as x2 + 64y2.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 364 - 373
Copyright
Copyright © Canadian Mathematical Society 1954

References

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