On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I
Sign Up to like & getrecommendations! Published in 2023 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2023.2204672
Abstract: 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… read more here.
Keywords: lucas lehmer; primality test; mersenne; mersenne primes ... See more keywords
Minimality Conditions Equivalent to the Finitude of Fermat and Mersenne Primes
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms12060540
Abstract: The question is still open as to whether there exist infinitely many Fermat primes or infinitely many composite Fermat numbers. The same question concerning Mersenne numbers is also unanswered. Extending some recent results of Megrelishvili… read more here.
Keywords: minimality conditions; mersenne primes; fermat primes; conditions equivalent ... See more keywords