How can we generate very large random number in java? I am talking something like 10000 digits? I know we have to use BigInteger but how can we do this? What is the most efficent way of doing something like this? Please provide a small example. Thank you.
Well, one way is to go to Random.org and download a one of the binary random files. The files are generated from atmospheric noise, so it's very random. I used it for Zobrist keys in my chess engine.
Alternatively you could go
BigInteger b = new BigInteger(256, new Random());
which will give you what you want. In this example, a BigInteger consisting of 256 bits.
Combine Random.nextBytes(byte[]) with BigInteger(byte[]).
import java.util.*;
import java.math.*;
class Test{
    public static void main(String[]_){
        int n = 16;
        Random r = new Random();
        byte[] b = new byte[n];
        r.nextBytes(b);
        BigInteger i = new BigInteger(b);
        System.out.println(i);
    }
}
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