Abstract: Mathematicians have always been fascinated by the subject of finding the prime numbers of large composite numbers. They have studied various methods and have focused on developing several ...

Abstract: The problem of Integer Factorization deals with the disintegration of an integer into prime factors. This has direct applications in cryptanalysis, particularly in breaking the RSA. Lately, ...

RSA cryptography, which is one of the typical public key cryptosystems, is a cryptosystem based on the fact that it is difficult to factor a composite number with a large number of digits into prime ...

This article proposes an algorithmic method for testing divisibility, grounded in the relationships between the multiplication tables of consecutive divisors. The algorithm generates, through an ...

ABSTRACT: We show that any semiprime number can be factorized as the product of two prime numbers in the form of a kernel factor pair of two out of 48 root numbers. Specifically, each natural number ...

This MATLAB function efficiently computes the inverse of a square matrix using LU factorization. By decomposing the matrix into lower and upper triangular matrices, the function solves for the inverse ...