Bernoulli Numbers, Wolstenholme's Theorem, and p5 Variations of Lucas' Theorem
Jianqiang Zhao
Abstract
In this note we shall improve some congruences of D.F. Bailey [Two p3 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.
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