Results 1 to 10 of about 33 (29)

On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I

open access: yesArab Journal of Basic and Applied Sciences, 2023
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.
Moustafa Ibrahim
exaly   +5 more sources

The 24th Mersenne Prime [PDF]

open access: yesProceedings of the National Academy of Sciences of the United States of America, 1971
Bryant Tuckerman
exaly   +2 more sources

Lucas-Lehmer Primality Tests for Certain Prime Curios

open access: yes, 2021
See the abstract in the attached pdf.
Roettger, E. L., Williams, H. C.
openaire   +3 more sources

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

open access: yesProceedings of the American Mathematical Society, 1999
Cubic reciprocity is used to derive primality tests analogous to the Lucas-Lehmer test for integers of the form A .3 n
Berrizbeitia, Pedro, Berry, T. G.
openaire   +1 more source

On the emergence of the Quanta Prime sequence

open access: yesArab Journal of Basic and Applied Sciences
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj   +1 more source

Generalizing the eight levels theorem: a journey to Mersenne prime discoveries and new polynomial classes

open access: yesArab Journal of Basic and Applied Sciences
Mersenne primes, renowned for their captivating form as [Formula: see text] have intrigued mathematicians for centuries. In this paper, we embark on a captivating quest to unveil the intricate nature of Mersenne primes, seamlessly integrating methods ...
Moustafa Ibrahim
doaj   +1 more source
Some of the next articles are maybe not open access.

Lucas-Lehmer Primality Test

2022
D Cortild, A Villegas Sanabria
openaire   +1 more source

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