Java BigInteger modInverse() method

The modInverse() method of Java BigInteger class is used to find the modulus of the inverse of this BigInteger value. This method returns a BigInteger whose value is inverse of this BigInteger mod parameter value.

Syntax:

Parameter:

m- the modulus.

Returns:

The method returns (this^-1 mod m).

Exception:

ArithmeticException - if(m ≤ 0).

Note: This method throws an ArithmeticException if the inverse of this BigInteger does not exist (that is, this BigInteger is not relatively prime to parameter value).

Example 1

import java.math.BigInteger;
public class BigIntegerModInverseExample1 {
	public static void main(String[] args) {
		//create 3 BigInteger objects 
		BigInteger big1,big2,result;
		// initialize all BigInteger objects
		big1=new BigInteger("13");
		big2=new BigInteger("5");
		//perform modInverse operation on big1 using big2
		result=big1.modInverse(big2);
		String str=big1+"^-1 % "+big2+" is "+result;
		System.out.println(str);
	}
}

Test it Now

Output:

13^-1 % 5 is 2

Example 2

import java.math.BigInteger;
public class BigIntegerModInverseExample2 {
	public static void main(String[] args) {
		//create 3 BigInteger objects 
		BigInteger big1,big2,result;
		// initialize all BigInteger objects
		big1=new BigInteger("-13");
		big2=new BigInteger("5");
		//perform modInverse operation on big1 using big2
		result=big1.modInverse(big2);
		String str=big1+"^-1 % "+big2+" is "+result;
		System.out.println(str);
	}
}

Test it Now

Output:

-13^-1 % 5 is 3

Example 3

import java.math.BigInteger;
public class BigIntegerModInverseExample3 {
	public static void main(String[] args) {
		//create 3 BigInteger objects 
		BigInteger big1,big2,result;
		// initialize all BigInteger objects
		big1=new BigInteger("13");
		big2=new BigInteger("0");
		//perform modInverse operation on big1 using big2
		result=big1.modInverse(big2);
		String str=big1+"^-1 % "+big2+" is "+result;
		System.out.println(str);
	}
}

Test it Now

Output:

java.lang.ArithmeticException: BigInteger: modulus not positive

Example 4

import java.math.BigInteger;
public class BigIntegerModInverseExample4 {
	public static void main(String[] args) {
		//create 3 BigInteger objects 
		BigInteger big1,big2,result;
		// initialize all BigInteger objects
		big1=new BigInteger("13");
		big2=new BigInteger("-5");
		//perform modInverse operation on big1 using big2
		result=big1.modInverse(big2);
		String str=big1+"^-1 % "+big2+" is "+result;
		System.out.println(str);
	}
}

Test it Now

Output:

java.lang.ArithmeticException: BigInteger: modulus not positive

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Java BigInteger modInverse() method

Syntax:

Parameter:

Returns:

Exception:

Note: This method throws an ArithmeticException if the inverse of this BigInteger does not exist (that is, this BigInteger is not relatively prime to parameter value).

Example 1

Example 2

Example 3