A remark on a question of Rotkiewicz (Q2883401)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A remark on a question of Rotkiewicz |
scientific article; zbMATH DE number 6032410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on a question of Rotkiewicz |
scientific article; zbMATH DE number 6032410 |
Statements
10 May 2012
0 references
Rotkiewicz numbers
0 references
Mersenne primes
0 references
Fermat primes
0 references
0 references
0 references
0.8857118
0 references
0.88323337
0 references
0 references
A remark on a question of Rotkiewicz (English)
0 references
A. Rotkiewicz asked whether there are infinitely many positive integers \(n\) such that \(n|(a^{\sigma(n)}- b^{\sigma(n)})\) for all integers \(a\), \(b\) with \((ab,n)= 1\), where \(\sigma(n)= \sum_{d|n} d\). The authors call these numbers Rotkiewicz numbers, and in this paper they show that certain families of integers \(n\) defined in terms of Mersenne and Fermat primes are Rotkiewicz numbers.
0 references
