AUXILIAM NUMBER Write a program to create a class named Auxilium with the following properties: - Instance variables/data members: int n to store the number using scanner class to count the factors of a number boolean a to store true if number is prime int sum to find the sum of the prime numbers intc Member methods: Auxilium() default constructor to initialize data members void input() method to input a number using scanner class boolean prime() method that checks if the original number as well as others are prime numbers or not. For e.g. Original number = 41 is a prime number void check() method to print the output - “Auxilium Number" if the combination of all the consecutive prime numbers up to the original number when added gives rise to the same number. For e.g. Original number = 41 Combination = 2 + 3 + 5 + 7 + 11 + 13 = 41 Result = Auxilium Number For any other prime number not producing desired result, the program prints the message- “Not an Auxilium Number” and if the user inputs any composite number then the program prints - "Sorry! Not Possible!”. Write a main method to create the object of the class and call the above methods.

 4) Write a program to create a class named Auxilium with the following properties: -

Instance variables/data members:

int n

to store the number using scanner class

to count the factors of a number

boolean a

to store true if number is prime

int sum

to find the sum of the prime numbers

intc

Member methods:

Auxilium()

default constructor to initialize data members

void input()

method to input a number using scanner class

boolean prime() method that checks if the original number as well as others are

prime numbers or not. For e.g. Original number = 41 is a prime number

void check()

method to print the output - “Auxilium Number" if

the combination of all the consecutive prime numbers up to the

original number when added gives rise to the same number.

For e.g.

Original number = 41

Combination = 2 + 3 + 5 + 7 + 11 + 13

= 41

Result

= Auxilium Number

For any other prime number not producing desired result, the program prints the message-

“Not an Auxilium Number” and if the user inputs any composite number then the program

prints - "Sorry! Not Possible!”.

Write a main method to create the object of the class and call the above methods.

PROGRAM CONTRIBUTED BY ANUBRATA DAS

import java.util.Scanner;

class Auxilium

{

    int n;

    int c;

    boolean a;

    int sum;

    Auxilium() {

        c=sum=0;

        a=false;

    }

    void input() {

        System.out.println("ENTER A NUMBER");

        n=new Scanner(System.in).nextInt();

    }

    boolean prime() {

        for(int i=1;i<=n;++i) {

            if(n%i==0)

                ++c;

        }

        a = c==2? true:false;

        System.out.println(c==2? "ORIGINAL NUMBER = "+n+" IS A PRIME NUMBER" : "SORRY! NOT POSSIBLE!");

        return a;

    }

    void check() {

        int d=0;

        if(a) {

            for(int i=2;i<=n;++i) {

                d=0;

                for(int j=1;j<=i;++j) {

                    if(i%j==0)

                        ++d;

                }

                sum+=d==2? i:0; 

                if(sum==n) {

                    System.out.println(n+" IS AN AUXILIUM NUMBER");

                    break;

                }

            }

            if(sum!=n)

                System.out.println(n+" IS NOT AN AUXILIUM NUMBER");

        }

    }

    static void main(String [] args) {

        Auxilium ob = new Auxilium();

        ob.input();

        ob.prime();

        ob.check();

    }

}