2 papers
math.NT2026
Every quasiperfect number has at least eight distinct prime factors
Akira Toyohara, Ye Tao, Siqiong Yao
No quasiperfect number () is known, and its number of distinct prime factors is bounded below; the bound of Hagis--Cohen has stood since 1982, obstructed by…
math.NT2025
The length of the repeating decimal
Siqiong Yao, Akira Toyohara
This paper investigates the length of the repeating decimal part when a fraction is expressed in decimal form. First, it provides a detailed explanation of how to calculate the len…