New proof of Wolstenholme's theorem
Zhang Feng-shuo · Journal of Baoji University of Arts and Sciences · 2010
Aim To give a new proof of Wolstenholme's theorem.Methods Wilson's theorem and the simple properties of the congruence are used to introduce a lemma about quadratic residue.Based on the lemma and the result of another quadratic residue,a new proof of Wolstenholme's theorem is obtained.Results A lemma of quadratic residue and a new proof of Wolstenholme's theorem are acquired.Conclusion Some knowledge of elementary number theory such as Wilson's theorem,quadratic residue,etc.may be used to prove Wolstenholme's theorem.