How to resolve the algorithm Totient function step by step in the D programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Totient function step by step in the D programming language
Table of Contents
Problem Statement
The totient function is also known as:
The totient function:
If the totient number (for N) is one less than N, then N is prime.
Create a totient function and: Show all output here.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Totient function step by step in the D programming language
Source code in the d programming language
import std.stdio;
int totient(int n) {
int tot = n;
for (int i = 2; i * i <= n; i += 2) {
if (n % i == 0) {
while (n % i == 0) {
n /= i;
}
tot -= tot / i;
}
if (i==2) {
i = 1;
}
}
if (n > 1) {
tot -= tot / n;
}
return tot;
}
void main() {
writeln(" n φ prime");
writeln("---------------");
int count = 0;
for (int n = 1; n <= 25; n++) {
int tot = totient(n);
if (n - 1 == tot) {
count++;
}
writefln("%2d %2d %s", n,tot, n - 1 == tot);
}
writeln;
writefln("Number of primes up to %6d = %4d", 25, count);
for (int n = 26; n <= 100_000; n++) {
int tot = totient(n);
if (n - 1 == tot) {
count++;
}
if (n == 100 || n == 1_000 || n % 10_000 == 0) {
writefln("Number of primes up to %6d = %4d", n, count);
}
}
}
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