How to resolve the algorithm Perfect totient numbers step by step in the AutoHotkey programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Perfect totient numbers step by step in the AutoHotkey programming language

Table of Contents

Problem Statement

Generate and show here, the first twenty Perfect totient numbers.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Perfect totient numbers step by step in the AutoHotkey programming language

Source code in the autohotkey programming language

MsgBox, 262144, , % result := perfect_totient(20)

perfect_totient(n){
    count := sum := tot := 0, str:= "", m := 1    
    while (count < n) {
        tot := m, sum := 0
        while (tot != 1) {
            tot := totient(tot)
            sum += tot
        }
        if (sum = m) {
            str .= m ", "
            count++
        }
        m++
    }
    return Trim(str, ", ")
}
    
totient(n) {
    tot := n,     i := 2
    while (i*i <= n) {
        if !Mod(n, i) {
            while !Mod(n, i)
                n /= i
            tot -= tot / i
        }
        if (i = 2)
            i := 1
        i+=2
    }
    if (n > 1)
        tot -= tot / n
    return tot
}


  

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