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

页数：9

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