A harmonia mecanicista em Mersenne

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Gaussian Mersenne and Eisenstein Mersenne primes

The Biquadratic Reciprocity Law is used to produce a deterministic primality test for Gaussian Mersenne norms which is analogous to the Lucas–Lehmer test for Mersenne numbers. It is shown that the proposed test could not have been obtained from the Quadratic Reciprocity Law and Proth’s Theorem. Other properties of Gaussian Mersenne norms that contribute to the search for large primes are given....

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ژورنال

عنوان ژورنال: Discurso

سال: 2007

ISSN: 2318-8863,0103-328X

DOI: 10.11606/issn.2318-8863.discurso.2007.62919