Carmichael Numbers with a Square Totient

被引：5

作者：

Banks, W. D. ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2009年 / 52卷 / 01期

关键词：

PRIMES;

D O I：

10.4153/CMB-2009-001-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi denote the Euler function. In this paper, we show that for all large x there are more than x(0 beta beta) Carmichael numbers n <= x with the property that phi(n) is a perfect square. We also obtain similar results for higher powers.

引用

页码：3 / 8

页数：6

共 5 条

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[3] Banks WD, 2004, FIELDS I COMMUN, V41, P29
[4] On the number of Carmichael numbers up to x
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[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2005, 37 : 641 - 650
[5] ALMOST-PRIMES REPRESENTED BY QUADRATIC POLYNOMIALS
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[J]. INVENTIONES MATHEMATICAE, 1978, 47 (02) : 171 - 188

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