2002Hindustan Book AgencyRequires access

The Lehmer Problem on the Euler Totient: A Pendora’s Box of Unsolvable Problems

M. Venkata Subbarao

Open publisher page 1 citations

Abstract

The celebrated seventy year old, innocent looking problem of D.H. Lehmer [5] asking for composite numbers, if any, satisfying the relation φ(n)|(n − 1), where φ(n) is the Euler totient, is still unsolved. This is easily seen to be equivalent to asking the

About this research paper

What this paper is about

The celebrated seventy year old, innocent looking problem of D.H. Lehmer [5] asking for composite numbers, if any, satisfying the relation φ(n)|(n − 1), where φ(n) is the Euler totient, is still unsolved. This is easily seen to be equivalent to asking the

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The celebrated seventy year old, innocent looking problem of D.H. Lehmer [5] asking for composite numbers, if any, satisfying the relation φ(n)|(n − 1), where φ(n) is the Euler totient, is still unsolved. This is easily seen to be equivalent to asking the

Key concepts: Euler's totient function, Euler's formula, Mathematics, Arithmetic, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
The Lehmer Problem on the Euler Totient: A Pendora’s Box of Unsolvable Problems — Research Paper | ScholarLens