Мој Код

import java.io.BufferedWriter;
import java.io.File;
import java.io.FileWriter;
import java.io.IOException;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.LinkedList;

public class BEAL {

    public static ArrayList<Integer> primeFactors(int number) {
        int n = number;
        ArrayList<Integer> factors = new ArrayList<Integer>();
        for (int i = 2; i <= n; i++) {
            while (n % i == 0) {
                if (!factors.contains(i))
                    factors.add(i);
                n /= i;
            }
        }
        return factors;
    }

    public static void main(String[] args) {

        LinkedList<BigInteger> broevi = new LinkedList<BigInteger>();

        BigInteger a1 = new BigInteger("1");
        BigInteger x1 = new BigInteger("3");
        File file = new File("beal.txt");
        try{



        FileWriter fw = new FileWriter(file.getAbsoluteFile());
        BufferedWriter bw = new BufferedWriter(fw);


        for(int a = 50; a<=99 ; a++){
            for(int x = 3; x <= 99 ; x++){
                a1 = new BigInteger(a+"");
                x1 = new BigInteger(x+"");
                broevi.add(a1.pow(x));
                bw.write(a + "," + x + "," + broevi.getLast());
                bw.newLine();

            }
        }
        bw.close();
        }
        catch (IOException e) {
            e.printStackTrace();
        }

        file = new File("ednakvo.txt");
        try{



        FileWriter fw = new FileWriter(file.getAbsoluteFile());
        BufferedWriter bw = new BufferedWriter(fw);

        for(int i=0;i<broevi.size();i++){
            for(int j=i+1;j<broevi.size();j++){

                for(int z=0;z<broevi.size();z++){
                    System.out.println("prov: " + i + " " + j + " " + z);
                    if(broevi.get(i).add(broevi.get(j)).equals(broevi.get(z))){
                        bw.write(broevi.get(i) + "+" + broevi.get(j) + "=" + broevi.get(z));
                        bw.newLine();

                    }
                }
            }
        }

        bw.close();
        }
        catch (IOException e) {
            e.printStackTrace();
        }




    }
}