Work

An extension of Wilson's Theorem

Year: 2025

Type: article

Abstract: The aim of this work is to optimize the existing formula based on Wilson's theorem to reduce the magnitude of the computation results.Wilson's theorem states: if p is a prime number, then (p-1)! + 1 is divisible by p (p-1)! ≡ -1 (mod p).The function (p-1)! increases very rapidly and reaches huge values.When the values of p are large, the calculations become resource-intensive, so it is necessary to reduce the upper limit of the calculation results.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.14874292

Author: Butov, Gennady

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6967974873

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