Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem
arXiv:math/0303332 · doi:10.1016/j.jnt.2006.05.005
Abstract
In this note we shall improve some congruences of D.F. Bailey [Two p^3 variations of Lucas' Theorem, JNT 35(1990), pp. 208-215] to higher prime power moduli, by studying the relation between irregular pairs of the form (p,p-3) and refined version of Wolstenholme's theorem.
7 pages. Final version accepted by J. of Number Theory