How to write a power function for big numbers in Java

Question

Suppose I want to calculate 2^10000 using Math.pow(). For which my code is-

long num = (long)Math.pow(2, 10000);
System.out.println(num);

Here I'm getting output as 9223372036854775807 which I guess is the limit of long. But if I write like this-

double n = Math.pow(2, 10000);
System.out.println(n); 

the o/p is Infinity which is a bit weird. Anyone please help me with this.

Answer 1

This will work, but be aware that BigInteger is not very efficient and I don't consider it suitable for production work for math problems.

public static void main( String[] args ) {
  BigInteger two = new BigInteger( "2" );
  BigInteger twoToTenThousand = two.pow( 10000 );
  System.out.println( twoToTenThousand );
}