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Euler’s criterion in java
According to Euler’s criterion a square root of n under modulo p exists if and only if a number num exists such that num%p is equal to n%p.
Program
import java.util.Scanner;
public class EulersCriterion {
public static void main(String args[]) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter n value :");
int n = sc.nextInt();
System.out.println("Enter p value :");
int p = sc.nextInt();
n = n % p;
int flag = 0;
for (int num = 2; num < p; num++) {
if ((num * num) % p == n) {
flag = 1;
}
}
if(flag==1) {
System.out.println("root of a number under modulo p exists ");
} else {
System.out.println("root of a number under modulo p does not exists ");
}
}
}
Output
Enter n value : 2 Enter p value : 7 root of a number under modulo p exists
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