This is a Java Program to Implement Fermat Primality Test Algorithm. Fermat Primality Test is an algorithm which is used to determine if a given number is prime or not.

Here is the source code of the Java Program to Implement Fermat Primality Test Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

`/**`

`** Java Program to Implement Fermat Primality Test Algorithm`

`**/`

import java.util.Scanner;

import java.util.Random;

`/** Class FermatPrimality **/`

public class FermatPrimality

`{`

`/** Function to check if prime or not **/`

public boolean isPrime(long n, int iteration)

`{`

`/** base case **/`

if (n == 0 || n == 1)

return false;

`/** base case - 2 is prime **/`

if (n == 2)

return true;

`/** an even number other than 2 is composite **/`

if (n % 2 == 0)

return false;

Random rand = new Random();

for (int i = 0; i < iteration; i++)

`{`

long r = Math.abs(rand.nextLong());

long a = r % (n - 1) + 1;

if (modPow(a, n - 1, n) != 1)

return false;

`}`

return true;

`}`

`/** Function to calculate (a ^ b) % c **/`

public long modPow(long a, long b, long c)

`{`

long res = 1;

for (int i = 0; i < b; i++)

`{`

res *= a;

res %= c;

`}`

return res % c;

`}`

`/** Main function **/`

public static void main (String[] args)

`{`

Scanner scan = new Scanner(System.in);

System.out.println("Fermat Primality Algorithm Test\n");

`/** Make an object of FermatPrimality class **/`

FermatPrimality fp = new FermatPrimality();

`/** Accept number **/`

System.out.println("Enter number\n");

long num = scan.nextLong();

`/** Accept number of iterations **/`

System.out.println("\nEnter number of iterations");

int k = scan.nextInt();

`/** check if prime **/`

boolean prime = fp.isPrime(num, k);

if (prime)

System.out.println("\n"+ num +" is prime");

`else`

System.out.println("\n"+ num +" is composite");

`}`

`}`

Fermat Primality Algorithm Test Enter number 999983 Enter number of iterations 2 999983 is prime

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