Cubic reciprocity and generalised Lucas-Lehmer tests for primality of 𝐴.3ⁿ±1

Autor: Pedro Berrizbeitia, T. G. Berry
Rok vydání: 1999
Předmět:
Zdroj: Proceedings of the American Mathematical Society. 127:1923-1925
ISSN: 1088-6826
0002-9939
DOI: 10.1090/s0002-9939-99-04786-3
Popis: Cubic reciprocity is used to derive primality tests analogous to the Lucas-Lehmer test for integers of the form A .3 n ± 1 A.3^n \pm 1 . The test for A .3 n − 1 A.3^n-1 is a minor improvement on a test derived by Williams by other means; the test for A .3 n + 1 A.3^n+1 seems to be new.
Databáze: OpenAIRE