An extension of Wilson's Theorem

Published: 19 March 2025| Version 2 | DOI: 10.17632/4354y2fpzz.2
Contributor:
Butov Gennady

Description

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.

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Number Theory

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