Partial Sums of Powers of Prime Factors

被引：0
|
作者：
De Koninck, Jean-Marie [1 ]
Luca, Florian [2 ]
机构：
[1] Univ Laval, Dept Math & Stat, Ste Foy, PQ G1K 7P4, Canada
[2] UNAM, Math Inst, Ap Postal 61-3 Xangari, Morelia, Michoacan 58089, Mexico
来源：
JOURNAL OF INTEGER SEQUENCES | 2007年 / 10卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given integers k >= 2 and l >= 3, let S-k,l(*) stand for the of those positive integers n which can be written as n= p(1)(k) + p(2)(k) + ...+ p(l)(k) , where p(1) , p(2) ,... , p(l) are distinct prime factors of n. We study the properties of the sets S-k,l(*) and we show in particular that given any odd l >= 3, # boolean OR(infinity)(k=2) S-k,l(*) = +infinity.
引用
收藏
页数：9
相关论文
共 50 条
12345