Results 31 to 40 of about 1,195,018 (195)

COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS

مجلة بغداد للعلوم, 2023
In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test.
Yahia Awad, Ramiz Hindi, Haissam Chehade
doaj   +1 more source

Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Let ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
doaj   +1 more source

Development of modified RSA algorithm using fixed mersenne prime numbers for medical ultrasound imaging instrumentation

Computer Assisted Surgery, 2019
Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin, Won Sok Yoo, Hojong Choi   +2 more
doaj   +1 more source

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.
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

Cryptography using Fibonacci-Mersenne and Fibonacci-balancing p-sequences with a self-invertible matrix and the Affine-Hill cipher [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define two new sequences using the Fibonacci p-numbers, the generalized Mersenne numbers, and m-balancing numbers. These sequences are obtained from the corresponding characteristic polynomials.
Elahe Mehraban, T. Aaron Gulliver, Ömür Deveci, Evren Hincal   +3 more
doaj   +1 more source

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 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