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Cubic reciprocity and generalised Lucas-Lehmer tests for primality of
Authors:Pedro Berrizbeitia   T. G. Berry
Affiliation:Departamento de Matematicas Puras y Aplicadas Universidad Simón Bolívar Caracas, Venezuela ; Departamento de Matematicas Puras y Aplicadas Universidad Simón Bolívar Caracas, Venezuela
Abstract:Cubic reciprocity is used to derive primality tests analogous to the Lucas-Lehmer test for integers of the form $A.3^n pm 1$. The test for $A.3^n-1$ is a minor improvement on a test derived by Williams by other means; the test for $A.3^n+1$ seems to be new.

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