Home Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem
Article
Licensed
Unlicensed Requires Authentication

Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem

  • Kevin A. Broughan , Florian Luca and Igor E. Shparlinski
Published/Copyright: November 5, 2010
Become an author with De Gruyter Brill
Integers
From the journal Volume 10 Issue 5

Abstract

We show that the set of composite positive integers nx satisfying the congruence

is of cardinality at most x as x → ∞.

Received: 2009-06-09
Revised: 2010-03-16
Accepted: 2010-05-11
Published Online: 2010-11-05
Published in Print: 2010-November

© de Gruyter 2010

Downloaded on 25.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/integ.2010.041/html?lang=en
Scroll to top button