BigInteger modPow() Method in Java (original) (raw)

Last Updated : 11 Jul, 2025

Prerequisite: BigInteger Basics
The Java.math.BigInteger.modPow() method returns a BigInteger whose value is (thisexponent mod m ).
If exponent == 1, the returned value is (this mod m) and if exponent < 0, the returned value is the modular multiplicative inverse of (this-exponent). The method throws an ArithmeticException if m <= 0.

Syntax:

public BigInteger modPow(BigInteger exponent, BigInteger m)

Parameters: The method accepts two parameters.

• exponent: This parameter refers to the exponent.
• m: This parameter refers to the modulus.

Return Value: The method returns a BigInteger object whose value is ( thisexponent mod m ).

Exceptions:

• ArithmeticException: If (m <= 0) or the exponent is negative and this BigInteger is not relatively prime to m.

Examples:

Input: biginteger1 = 23895 exponent = 15 biginteger2 = 14189 Output: 344 Explanation: result = biginteger1.modPow(exponent, biginteger2) 23895^15 % 14189 = 344

Input: biginteger1 = 6547890621 exponent = 4532415 biginteger2 = 76543278906 Output: 1039609179 Explanation: 6547890621^4532415 % 76543278906 = 1039609179

Below program illustrates the Java.math.BigInteger.modPow() method:

Java `

// Code to illustrate modpow() method of BigInteger import java.math.*; import java.util.Scanner;

public class GFG {

public static void main(String[] args)
{

    // Create 3 BigInteger objects
    BigInteger biginteger1, biginteger2, result;

    // Initializing all BigInteger Objects
    biginteger1 = new BigInteger("23895");
    biginteger2 = new BigInteger("14189");
    BigInteger exponent = new BigInteger("15");

    // Perform modPow operation on the objects and exponent
    result = biginteger1.modPow(exponent, biginteger2);
    String expression = biginteger1 + "^" + exponent + " % "
                        + biginteger2 + " = " + result;

    // Displaying the result
    System.out.println(expression);
}

}

`

Output:

23895^15 % 14189 = 344

Reference: https://docs.oracle.com/javase/7/docs/api/java/math/BigInteger.html#abs()