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The problem context involves determining the primality of a given number. In number theory, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. This Java program takes a number as input and checks if it is prime or not.
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The solution uses the BigInteger class in Java, which provides methods to perform operations for large integers. The 'isProbablePrime' method of BigInteger class is used to check the primality of the number. This method returns true if this BigInteger is probably prime, false if it's definitely composite. If certainty is ≤ 0, true is returned.
/**
*
*/
package com.javaaid.hackerrank.solutions.languages.java.bignumber;
import java.math.BigInteger;
import java.util.Scanner;
/**
*
*/
public class JavaPrimalityTest {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
BigInteger n = in.nextBigInteger();
in.close();
System.out.println(n.isProbablePrime(100) ? "prime" : "not prime");
}
}
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