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.
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2026 2representative citing papers
Frequency-ordering the smaller factors R_m in p_{m-1}+1 factorizations for m where the largest factor exceeds m produces a new sequence explained by a heuristic model using the distribution of primes in arithmetic progressions.
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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.
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Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$
Frequency-ordering the smaller factors R_m in p_{m-1}+1 factorizations for m where the largest factor exceeds m produces a new sequence explained by a heuristic model using the distribution of primes in arithmetic progressions.