Results 1 to 10 of about 7,411,029 (61)
Arab 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 Mohamed
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Proceedings of the National Academy of Sciences of the United States of America, 1971 Tuckerman B.
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On the emergence of the Quanta Prime sequence
Arab Journal of Basic and Applied SciencesThis 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
Arab Journal of Basic and Applied SciencesMersenne 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
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A Class of Primality Tests for Trinomials Which Includes the Lucas-Lehmer Test [PDF]
Pacific Journal of Mathematics, 1982 Hugh Williams
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Generalized Lucas-Lehmer Tests Using Pell Conics
Proceedings of the American Mathematical Society, 2012 Pell conics are used to write a Proth-Riesel twin-primality test. We discuss easy-to-find primality certificates for integers of the form m h±1.
Samuel A. HAMBLETON
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Some of the next articles are maybe not open access.
Cubic Reciprocity and Generalised Lucas-Lehmer Tests for Primality Of ?.3ⁿ±1
Proceedings of the American Mathematical Society, 1999Pedro Berrizbeitia
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A Probabilistic Primality Test Based on the Properties of Certain Generalized Lucas Numbers
Lecture Notes in Computer Science, 1988Piero Filipponi +2 more
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