Bernoulli numbers, Wolstenholme's theorem, and p5 variations of Lucas' theorem
By Jianqiang Zhao. 2003
54 citations recorded by the source corpus.
Abstract In this note we shall improve some congruences of G.S. Kazandzidis and D.F. Bailey to higher prime power moduli, by studying the relation between irregular pairs of the form ( p , p − 3 ) and a refined version of Wolstenholme's theorem.
Subfields: Algebra and Number Theory, Theoretical Computer Science
View Paper: https://www.semanticscholar.org/paper/89d8bdd3a8a7ecba7a3a9141350712618be4b4f4
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In Algebra and Number Theory
In Theoretical Computer Science
Citations in the corpus
- Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012) (2011, background): “he prime number theorem, in 1995 McIntosh [60, p. 387] conjectured that there are infinitely many Wolstenholme primes. It seems that the proof of this assertion would be very difficult. In 2007 J. Zhao [103] defined a Wolstenholme prime via harmoni c numbers; namely, a prime pis a Wolstenholme prime if”