Skip to main content

MERSENNE NUMBER

PROGRAM : MERSENNE NUMBER

number is said to be mersenne number if it is one less than a power of 2. Example- 7 is a mersenne number as it is 2^3-1.Similarly 1023 is a mersenne number as it is 2^10-1.

SYNTAX


import java.io.*;
class mersenne
{
    public static void main(String args[])throws IOException
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        int n,m;
        boolean flag=false;
        System.out.println("Enter a number to check mersenne number");
        n=Integer.parseInt(br.readLine());
        m=n+1;
        for(int i=0;i<=n;i++)
        {
            if((Math.pow(2,i)==m))
            {
                flag=true;
            }
        }
        if(flag==true)
        {
            System.out.println("The Number "+ (m-1)+" is Mersenne Number");
        }
        else
        System.out.println("The Number "+ (m-1)+" is not a Mersenne Number");}
    }

Comments

Popular posts from this blog

Disarium Number

AJ Java Programs Program 4: Disarium Number A number will be called DISARIUM if sum of its digits powered with their respective position is equal to the original number. For example  135 is a DISARIUM (Workings 1 1 +3 2 +5 3  = 135, some other  DISARIUM  are 89, 175, 518 etc) Syntax: import java.io.*; class disarium {     public static void main(String args[])throws IOException     {         BufferedReader br=new BufferedReader(new InputStreamReader(System.in));         int n,n1,n2,c=0,sum=0,d=0;         System.out.println("Enter a Num");         n=Integer.parseInt(br.readLine());         n2=n1=n;         while(n2!=0)         {             n2=n2/10;             c++;         }       ...

MAGICAL/ MAGIC NUMBER USING RECURSION

PROGRAM :  MAGICAL NUMBER BY RECURSION This  program  checks if a  number  is a  Magic number  in  JAVA . A  number  is said to be a  Magic number  if the sum of its digits are calculated till a single digit is obtained by recursively adding the sum of its digits. If the single digit comes to be 1 then the  number  is a  magic number . Example: 10999 => 1+0+9+9+9=28=>2+8=>10=>1+0= 1                  199    =>1+9+9 =>19=> 1+9=>10=>1+0= 1 SYNTAX import java.io.*; class magic  {    static int c;     public static void main(String arsg[])throws IOException     {         BufferedReader br=new BufferedReader(new InputStreamReader(System.in));         int n;int d=0;int m;         System.out.println("ENter a NUmber");   ...

LUCKY NUMBER

PROGRAM : LUCKY NUMBER QUESTION: Consider the sequence of natural numbers. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 …………………………………. Removing every second number produces the sequences 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 …………………………. Removing every third number produces the sequences 1, 3, 7, 9, 13, 15, 19, 21, 25 …………………………. This process continues indefinitely by removing the fourth, fifth…and so on, till after a fixed number of steps, certain natural numbers remain indefinitely. These are known as  Lucky Numbers . Write a program to generate and print lucky numbers less than a given number N. SAMPLE INPUT :   N = 10 OUTPUT :   The Lucky numbers less than 10 are:     1     3     7 SAMPLE INPUT :   N = 25 OUTPUT :   The Lucky numbers less than 25 are:     1     3  ...