Circular Prime ISC 2016 Practical

A Circular Prime is a prime number that remains prime under cyclic shifts of its digits. When the leftmost digit is removed and replaced at the end of the remaining string of digits, the generated number is still prime. The process is repeated until the original number is reached again.

A number is said to be prime if it has only two factors 1 and itself.

Example:
131
311
113
Hence, 131 is a circular prime.

Accept a positive number N and check whether it is a circular prime or not. The new numbers formed after the shifting of the digits should also be displayed.

Test your program with the following data and some random data:

Example 1:
INPUT:
N = 197
OUTPUT:
197
971
719
197 IS A CIRCULAR PRIME.

Example 2:
INPUT:
N = 1193
OUTPUT:
1193
1931
9311
3119
1193 IS A CIRCULAR PRIME.

Example 3:
INPUT:
N = 29
OUTPUT:
29
92
29 IS NOT A CIRCULAR PRIME.

import java.io.*;
class CircularPrime{
    public static void main(String args[])
    throws IOException{
        InputStreamReader in = new InputStreamReader(System.in);
        BufferedReader br = new BufferedReader(in);
        System.out.print("N = ");
        int n = Integer.parseInt(br.readLine());
        String s = Integer.toString(n);
        int len = s.length();
        boolean status = true;
        for(int i = 1; i <= len; i++){
            if(!isPrime(n))
                status = false;
            System.out.println(n);
            s = s.substring(1) + s.charAt(0);
            n = Integer.parseInt(s);
        }
        if(status)
            System.out.println(n + " IS A CIRCULAR PRIME.");
        else
            System.out.println(n + " IS NOT A CIRCULAR PRIME.");
    }
    public static boolean isPrime(int num){
        int f = 0;
        for(int i = 1; i <= num; i++)
            if(num % i == 0)
                f++;
        return (f == 2);
    }
}

18 thoughts on “Circular Prime ISC 2016 Practical”

  1. Sir,how to arrange each column of a m x n matrix in matrix in ascending order in java?How to write the code in java?where m=no.of rows,n=no.of columns.
    Sample input:
    M = 3
    N = 3
    Original Matrix:
    22 5 19
    7 36 12
    9 13 6
    Matrix after sorting columns:
    7 5 6
    9 13 12
    22 36 19

  2. Sir,How to delete an element from an array of n elements from a particular position? How to write the program code in java

      • Sir,a program is given which states that:
        A Circular Prime is a prime number that remains prime under cyclic shifts of its digits. When the leftmost digit is removed and replaced at the end of the remaining string of digits, the generated number is still prime. The process is repeated until the original number is reached again.

        A number is said to be prime if it has only two factors 1 and itself.

        Example:
        131
        311
        113
        Hence, 131 is a circular prime.

        Accept a positive number N and check whether it is a circular prime or not. The new numbers formed after the shifting of the digits should also be displayed.(Using Scanner class)

    • The size of an array is always fixed. No changes can be made in the original array by deleting or adding elements into it. To do so, you need to create a new array with a new size and copy all the elements to it from the old array every time you add or delete elements from that old array.

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