Wilson's and Wolstenholme's Theorems
Saud Hussein
TL;DR
This paper presents a unified, straightforward proof of Wilson's and Wolstenholme's Theorems using basic properties of primes and the Binomial theorem, highlighting their similarities.
Contribution
It offers the simplest, unified proof of both theorems, emphasizing their structural similarities with minimal assumptions.
Findings
Unified proof of Wilson's and Wolstenholme's Theorems
Proof based on basic properties of primes and Binomial theorem
Highlights the structural similarity between the theorems
Abstract
We provide a proof of Wilson's Theorem and Wolstenholme's Theorem based on a direct approach by Lagrange requiring only basic properties of the primes and the Binomial theorem. The goal is to show how similar the two theorems are by providing the easiest proof possible in a single unified argument.
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Taxonomy
TopicsAdvanced Mathematical Identities · Matrix Theory and Algorithms · Advanced Optimization Algorithms Research