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Deterministic primality test for numbers of the form odd
Authors:Pedro Berrizbeitia   Boris Iskra
Affiliation:Departamento de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Caracas, Venezuela ; Departamento de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Caracas, Venezuela
Abstract:
We use a result of E. Lehmer in cubic residuacity to find an algorithm to determine primality of numbers of the form $A^23^n+1$, $n$ odd, $A^2<4(3^n+1)$. The algorithm represents an improvement over the more general algorithm that determines primality of numbers of the form $A.3^n pm 1$, $A/2<4.3^n-1$, presented by Berrizbeitia and Berry (1999).

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