Wolstenholme's theorem and its modulo-p^4 refinement are proved by evaluating an Egorychev contour integral that directly yields the required harmonic sums and Bernoulli-number terms.
Wolstenholme,On certain properties of prime numbers, Quart
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A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral
Wolstenholme's theorem and its modulo-p^4 refinement are proved by evaluating an Egorychev contour integral that directly yields the required harmonic sums and Bernoulli-number terms.