J Austral Math Soc Ser A 46 pp469--472, 1989.

An Indeterminate in Number Theory

Emma Lehmer

(Received 30 September 1987)

Abstract

This paper studies quintic residuality of primes p of the form

16p = v⁴ + 250v² + 3125, p = 5f + 1,

for which the expression for 4^f modulo p given in the first volume of this journal becomes indeterminate, and replaces it by a much simpler expression.

1980 AMS Subject Classification (1985 Revision): 11A15

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Emma Lehmer: 1180 Miller Avenue, Berkeley, California 94708, U.S.A.

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