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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 7 | Year 2025 | Article Id. IJMTT-V71I7P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I7P103

A Boundary Property of Dataset C


Yan Liu, Xingbo Wang
Received Revised Accepted Published
20 May 2025 27 Jun 2025 12 Jul 2025 27 Jul 2025
Citation :

Yan Liu, Xingbo Wang, "A Boundary Property of Dataset C," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 7, pp. 28-32, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I7P103

Abstract

The dataset C has been shown to exhibit the characteristic of locally accumulating multiples of the divisors of a given composite integer, and it is employed to assist in identifying divisors of unfactorized integers. While several properties of this dataset have been described in the existing literature, its boundary characteristics remain unexplored. This paper demonstrates that the first and last rows of the dataset C contain an identical number of multiples of the divisors of the composite integer under consideration, and this number corresponds to the maximum count across all rows. The identified property enhances the overall understanding of the dataset structure and may facilitate the design and optimization of practical search algorithms. 

Keywords

Folding transformation, Geometry, Point symmetry, Randomized algorithm. 

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