标题:Sur les plus grands facteurs premiers inférieur à y d’entiers consécutifs
作者:Wang Z.
作者机构:[Wang, Z] School of Mathematics, Shandong University, Jinan, Shandong 250100, China, Institut Élie Cartan de Lorraine, Université de Lorraine, UMR 75 更多[Wang, Z] School of Mathematics, Shandong University, Jinan, Shandong 250100, China, Institut Élie Cartan de Lorraine, Université de Lorraine, UMR 7502, Vandœuvre-lès-Nancy, 54506, France 收起
通讯作者:Wang, Z(zhiwei.wang@univ-lorraine.fr)
通讯作者地址:[Wang, Z] School of Mathematics, Shandong UniversityChina;
来源:Ramanujan Journal
出版年:2019
DOI:10.1007/s11139-018-0110-z
关键词:Consecutive integers; Largest prime factor; Positive proportion; Sieve
摘要:Let Py+(n) denote the largest prime factor p of n with p⩽ y. We prove that there exists a positive proportion of integers n such that Py+(n)