Accessible Unlicensed Requires Authentication Published by De Gruyter November 5, 2010

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

Kevin A. Broughan, Florian Luca and Igor E. Shparlinski
From the journal


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

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