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On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I. (arXiv:2305.14362v1 [math.NT])
cs.CR updates on arXiv.org arxiv.org
Lucas-Lehmer test is the current standard algorithm used for testing the
primality of Mersenne numbers, but it may have limitations in terms of its
efficiency and accuracy. Developing new algorithms or improving upon existing
ones could potentially improve the search for Mersenne primes and the
understanding of the distribution of Mersenne primes and composites. The
development of new versions of the primality test for Mersenne numbers could
help to speed up the search for new Mersenne primes by improving the …
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