Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
19 articles.
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