An extension of Wilson's Theorem

The aim of this work is to optimize the existing formula based on Wilson's theorem to reduce themagnitude of the computation results. Wilson's theorem states: if p is a prime number, then (p − 1)! + 1 is divisible by 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.