Results 151 to 160 of about 986 (177)
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New Vistas on Mersenne numbers
Proceeding International Conference on Science and Engineering, 2023Mersenne numbers are analyzed for varieties of interesting properties. Various fascinating relations connecting Mersenne numbers with other special number patterns by means of theorems involving the relations are exhibited.
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On Lucas's Test for the Primality of Mersenne's Numbers
Journal of the London Mathematical Society, 1935Beweis des Satzes: Ist \(p\) eine Primzahl \((\neq 2)\), so ist \(N = 2^p - 1\) dann und nur dann eine Primzahl, wenn das \((n - 1)\)-te Glied der Reihe \(S_1 = 4, \ldots, S_k= S_{k-1}^2 - 1\) teilbar ist durch \(N\). Ein Teil dieses Satzes ist von Lucas; sein Beweis war nicht einwandfrei. Verf. gebraucht die Reihe \(U_r =\frac{(a^r - b^r)}{(a - b)}\),
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Mersenne Numbers in Generalized Lucas Sequences
Proceedings of the Bulgarian Academy of SciencesLet $$k \geq 2$$ be an integer and let $$(L_{n}^{(k)})_{n \geq 2-k}$$ be the $$k$$-generalized Lucas sequence with certain initial $$k$$ terms and each term afterward is the sum of the $$k$$ preceding terms. Mersenne numbers are the numbers of the form $$2^a-1$$, where $$a$$ is any positive integer.
ALAN, Murat, Altassan, Alaa
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On the generalization of Mersenne and Gaussian Mersenne polynomials
Journal of Analysis, 2023Munesh Kumari +2 more
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Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Chaos, Solitons and Fractals, 2021Dursun Tasci, Emre Sevgi
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Mersenne Numbers, Recursive Generation of Natural Numbers, and Counting the Number of Prime Numbers
Applied Mathematics, 2022Ramon Carbö-D̈Orca
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On the bivariate Mersenne Lucas polynomials and their properties
Chaos, Solitons and Fractals, 2021Nabiha Saba, Ali Boussayoud
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