Results 11 to 20 of about 1,246,845 (203)

On Mersenne Numbers and their Bihyperbolic Generalizations [PDF]

Annales Mathematicae Silesianae
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
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Divisors of Mersenne numbers [PDF]

Mathematics of Computation, 1983
We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers
Samuel S. Wagstaff
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On generalized bihyperbolic Mersenne numbers [PDF]

Mathematica Bohemica, 2023
In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained.
Dorota Bród, Anetta Szynal-Liana
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The q-Integers and the Mersenne Numbers [PDF]

SSRN Electronic Journal, 2018
Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-integers will be studied too.
Sparavigna, Amelia Carolina, Amelia Carolina Sparavigna   +1 more
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On digits of Mersenne numbers [PDF]

Revista Matemática Iberoamericana, 2021
Motivated by recently developed interest to the distribution of q -ary digits of Mersenne numbers M_p = 2^p-1 , where p
Bryce Kerr, László Mérai, Igor E. Shparlinski   +2 more
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Mersenne k-Fibonacci numbers [PDF]

Glasnik matematički, 2016
For an integer k≥ 2, let (Fn(k))n be the k-Fibonacci sequence which starts with 0,...,0,1 (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we find all k-Fibonacci numbers which are Mersenne numbers, i.e., k-Fibonacci numbers that are equal to 1 less than a power of 2.
Bravo, Jhon J., Gómez, Carlos A.
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SOME IDENTITIES OF k-MERSENNE NUMBERS

Advances and Applications in Discrete Mathematics, 2017
Summary: In this study, we first examine \(k\)-Mersenne numbers. Then we obtain some identities on the \(k\)-Mersenne numbers.
Uslu, Kemal, Deniz, Vural
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Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials [PDF]

Annales Mathematicae Silesianae
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we use the Mersenne numbers and polynomials in the theory of these
Bród Dorota, Szynal-Liana Anetta, Liana Mirosław   +2 more
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Mersenne Numbers in Generalized Lucas Sequences

Proceedings of the Bulgarian Academy of Sciences
Let $$k \geq 2$$ 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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Primality-testing Mersenne numbers [PDF]

, 1983
Report of a systematic review of Mersenne numbers 2^p-1 for p ...
Holmes, S. M., Hunt, D. J., Westbury, N., Marron, P. J., ICL, Lake, T. W., Reddaway, S. F., Haworth, G. McC.   +7 more
core   +5 more sources