Year: 2026
Type: preprint
Abstract: For an integer $n > 1$, let $P^+(n)$ be the largest prime factor of $n$, and let $P_y^+(n)$ denote the largest prime factor of $n$ not exceeding $y$. One of Erdős and Turán's conjectures asserts that the asymptotic density of integers $n$ satisfying $P^+(n)0$ such that \begin{align*} \#\{p\leq x:P_y^+(p-1)
Source: arXiv (Cornell University)
Author: Yang, Zhiyuan
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213342621