English

Factorization of large numbers and the suggestion of an algorithm

Quantum Physics 2007-05-23 v1

Abstract

In this paper, we intend to present a new algorithm to factorize large numbers. According to the algorithm proposed here, we prove that there is a common factor between p and q. With this procedure, the time of factorization considerably decreases. The algorithm is based on a graphic representation and, when the corresponding graph is drawn, coordinate pairs will originate two straight lines that intercept one another. These coordinate pairs are formed by prime numbers in the x-axis, and factors in the y-axis, including the factor in common.

Keywords

Cite

@article{arxiv.quant-ph/0603180,
  title  = {Factorization of large numbers and the suggestion of an algorithm},
  author = {Fabiano Sutter de Oliveira},
  journal= {arXiv preprint arXiv:quant-ph/0603180},
  year   = {2007}
}

Comments

9 pages, 1 figure

R2 v1 2026-07-22T19:54:14.588Z