New prime number theory

BU Zaman - Annals of Mathematics and Physics, 2024 - mathematicsgroup.com
This paper introduces a novel approach to estimating the sum of prime numbers by
leveraging insights from partition theory, prime number gaps, and the angles of triangles …

Computational challenges and solutions: Prime number generation for enhanced data security

A Ezz-Eldien, M Ezz, A Alsirhani, AM Mostafa… - PloS one, 2024 - journals.plos.org
This paper addresses the computational methods and challenges associated with prime
number generation, a critical component in encryption algorithms for ensuring data security …

Varibox encryption algorithm: The new generation of hybrid security measure for the era of quantum computation

T Karmakar, S Biswas, I Das, S Nath - Journal of Discrete …, 2022 - Taylor & Francis
The continual proliferation and evolution of the Internet of Things (IoT) domain is posing
serious security threats to the whole network. In IoT, the insecure communication channel …

[PDF][PDF] AN OVERVIEW ON INTEGERS OF THE FORM +

R KUMAR, S KUMAR, M KUMAR, D KUMAR - 2023 - researchgate.net
We pose various congruences on the integers of form 6 + 1, ∈ +, which may encourage
younger number theorist to do research in number theory and settled new dimension in this …

AN OVERVIEW ON INTEGERS OF THE FORM\mathbf {6}^\mathbit {n}\+\\mathbf {1}

R KUMAR, S KUMAR, M KUMAR… - SCIREA Journal of …, 2023 - jenvironment.org
We pose various congruences on the integers of form 6^ n\+\1, n\\in\Z_+, which may
encourage younger number theorists to do research in number theory and settle new …

Some characterizations of twin prime numbers and their application

SM Naser - 2021 - lib.buet.ac.bd
Letting Bertrand's Postulate, Goldbach's Conjecture and Chen's theorem as base theorems,
we find some new results. This research work proposes a theorem that every even number …

[PDF][PDF] Modelling of prime numbers with regression analysis

Ş Çelik - irjes.com
In this study, it is aimed to analysis prime numbers, which have an important place in
mathematics, with regression methods. The 169 prime numbers from 2 to 1009 are …

[PDF][PDF] A Review of Prime Numbers, Squaring Prime Pattern, Different Types of Primes and Prime Factorization Analysis

P Mahato, A Shah - researchgate.net
The study of prime numbers and their properties has always been an intriguing and
fascinating topic for mathematicians. Primes can be considered the “basic building blocks,” …

[PDF][PDF] Received: 30th January 2022 Revised: 05th March 2022 Selected: 09th April 2022

DK SHARMA, S AGARWAL, AS UNIYAL - mukpublications.com
After all numbers have been represented as the smallest possible arrangement of integers,
primes are the set of numbers that remain. When no more factoring is possible, prime …

Limiting Check Algorithm: Primality Test

G Sethi, Harsh - ICT Systems and Sustainability: Proceedings of …, 2021 - Springer
This algorithm is designed to check the primality of a large number in a very different manner
by combining the research of Manindra Agrawal, Neeraj Kayal, Nitin Saxena [1] and Greek …