COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS
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Published:2023-03-20
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Volume:
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ISSN:2411-7986
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Container-title:Baghdad Science Journal
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language:
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Short-container-title:Baghdad Sci.J
Author:
Awad Yahia,
Hindi Ramiz,
Chehade HaissamORCID
Abstract
In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.
Publisher
College of Science for Women
Subject
General Physics and Astronomy,Agricultural and Biological Sciences (miscellaneous),General Biochemistry, Genetics and Molecular Biology,General Mathematics,General Chemistry,General Computer Science