Criterion for 3 to be eleventh power. (English) Zbl 0876.11002

Jakubec, Stanislav

Acta Math. Inform. Univ. Ostrav. 3, No. 1, 37-43 (1995).

The author gives a criterion for 3 to be an 11th power modulo a prime \(p\) of the form \(p=x^2 +11y^2\).

Reviewer: R.Mollin (Calgary)

MSC:

11A07	Congruences; primitive roots; residue systems
11D09	Quadratic and bilinear Diophantine equations
11N32	Primes represented by polynomials; other multiplicative structures of polynomial values
11R11	Quadratic extensions

Keywords:

eleventh power; representation; quadratic diophantine equation

References:

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