Results 41 to 50 of about 1,246,845 (203)

On the Number of Divisors of Mersenne Numbers

Experimental Mathematics
13 pages, 5 figures, 2 tables; v4: incorporated editorial ...
Kovač, Vjekoslav, Luca, Florian
openaire   +2 more sources

ON GAUSSIAN MERSENNE NUMBERS

Journal of Science and Arts, 2021
In this paper, we define Gaussian Mersenne numbers and we give some properties of them. Moreover we present some relations among Gaussian Mersenne numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal-Lucas numbers. We also present some results with matrices involving Gaussian Mersenne numbers.
openaire   +1 more source

On New Sequences of $p$-Binomial and Catalan Transforms of the $k$-Mersenne Numbers and Associated Generating Functions

Universal Journal of Mathematics and Applications
In this work, we investigate the binomial transforms and Catalan transform of the $k$-Mersenne and $k$-Mersenne-Lucas numbers and examine the new integer sequences.
Kalika Prasad, Hrishikesh Mahato, Ritanjali Mohanty, Munesh Kumari   +3 more
doaj   +1 more source

Boolean Hypercubes: The Origin of a Tagged Recursive Logic and the Limits of Artificial Intelligence

Universal Journal of Mathematics and Applications, 2021
Boolean and logical hypercubes are discussed as providers of tags to logical object sets, transforming them into logical tagged sets, a generalization of fuzzy sets.
Ramon Carbó-dorca
doaj   +1 more source

Note on a Mersenne number [PDF]

Bulletin of the American Mathematical Society, 1934
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
doaj   +1 more source

Affine–Hill cipher from Hadamard-type Fibonacci–Mersenne and Fibonacci-balancing p-sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define two new sequences using the generalized Mersenne numbers, Fibonacci p-numbers, and m-balancing numbers. These sequences are constructed using the Hadamard-type product of their characteristic polynomials.
Elahe Mehraban, T. Aaron Gulliver, Evren Hincal   +2 more
doaj   +1 more source

Mersenne-Horadam identities using generating functions

Karpatsʹkì Matematičnì Publìkacìï, 2020
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj   +1 more source

The First Study of Mersenne--Leonardo Sequence

Communications in Advanced Mathematical Sciences
In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino, Eudes Antonio Costa   +1 more
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Nathaniel Culverwell's stoic theory of common notions

The Southern Journal of Philosophy, EarlyView.
Abstract This article takes a closer look at the theory of knowledge developed by Nathaniel Culverwell in his 1652 Elegant and Learned Discourse of the Light of Nature. Based on Culverwell's endorsement of Edward Herbert of Cherbury against Plato and Aristotle, his critical reception of René Descartes, and his contributions to a controversy between ...
Mogens Lærke
wiley   +1 more source