Results 11 to 20 of about 769,013 (308)

Efficient and Constant Time Modular Reduction With Generalized Mersenne Primes

open access: yesIEEE Access
Many cryptographic applications require a vast number of modular multiplications with a large prime modulus. Generalized Mersennes are a class of primes commonly used in cryptography because of their special forms.
Serdar S. Erdem, Sezer S. Erdem
doaj   +2 more sources

ON THE THIRD SMARANDACHE CONJECTURE ABOUT PRIMES [PDF]

open access: yes, 2001
In this paper one basically verifies the third Smarandache conjecture on ...
Le, Maohua
core   +1 more source

Large Deviation Results and Applications to the Generalized Cramér Model

open access: yesMathematics, 2018
In this paper, we prove large deviation results for some sequences of weighted sums of random variables. These sequences have applications to the probabilistic generalized Cramér model for products of primes in arithmetic progressions; they could lead to
Rita Giuliano, Claudio Macci
doaj   +1 more source

A study on the number of edges of some families of graphs and generalized Mersenne numbers

open access: yesRatio Mathematica, 2022
The relationship between the Nandu sequence of the SM family of graphs and the Generalized Mersenne numbers is demonstrated in this study. Nandu sequences are related to the two families of SM sum graphs and SM Balancing graphs.
K.G. Sreekumar   +3 more
doaj   +1 more source

NeutroAlgebra of Neutrosophic Triplets using {Zn, ×} [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using ...
Vasantha Kandasamy   +2 more
doaj   +1 more source

A note on primes in short intervals [PDF]

open access: yes, 2008
This paper is concerned with the number of primes in short intervals. We prove that for every $\theta>1/2$ the intervals $[x, x+x^{\theta}]$ contain the expected number of primes for $x\rightarrow \infty$, with the assumption of an heuristic hypothesis ...
Bazzanella, Danilo
core   +1 more source

A STUDY ON GENERALIZED 5-PRIMES NUMBERS [PDF]

open access: yes, 2020
In this paper, we introduce the generalized 5-primes numbers sequences and we deal with, in detail, three special cases which we call them 5-primes, Lucas 5-primes and modified 5-primes sequences. We present Binet's formulas, generating functions, Simson
Yüksel SOYKAN, SOYKAN, Yüksel
core   +1 more source

Generalization of f-Graphs and Their Algebraic Aspects

open access: yesJournal of Mathematics, 2023
The notion of f-graphs and f-ideals are relatively new and have been studied in many papers. In this paper, we have generalized the idea of f-graphs and f-ideals to quasi f-graphs and quasi f-ideals, respectively. We have characterized all quasi f-graphs
Fazal Ur Rehman   +3 more
doaj   +1 more source

The Generalization of Prime Modules [PDF]

open access: yesAlgebra, 2013
Piecewise prime (PWP) module is defined in terms of a set of triangulating idempotents in . The class of PWP modules properly contains the class of prime modules. Some properties of these modules are investigated here.
openaire   +2 more sources

Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over Fl

open access: yesComplexity, 2020
Generalized cyclotomic sequences of period pq have several desirable randomness properties if the two primes p and q are chosen properly. In particular, Ding deduced the exact formulas for the autocorrelation and the linear complexity of these sequences ...
Yuhua Sun   +4 more
doaj   +1 more source

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