import java.math.BigInteger;
import java.util.HashSet;
import java.util.Set;

class Euler29 {

    private static class Options {
        int max_a = 100;
        int max_b = 100;
        boolean run_checkpoints = true;
    }

    private static boolean parse_int_after_prefix(String arg, String prefix, int[] value) {
        if (!arg.startsWith(prefix)) {
            return false;
        }
        String tail = arg.substring(prefix.length());
        if (tail.isEmpty()) {
            return false;
        }

        int parsed = 0;
        for (int i = 0; i < tail.length(); i++) {
            char c = tail.charAt(i);
            if (c < '0' || c > '9') {
                return false;
            }
            parsed = parsed * 10 + (c - '0');
        }

        value[0] = parsed;
        return true;
    }

    private static boolean parse_arguments(String[] args, Options options) {
        for (String arg : args) {
            if (arg.equals("--skip-checkpoints")) {
                options.run_checkpoints = false;
                continue;
            }
            int[] temp = new int[1];
            if (parse_int_after_prefix(arg, "--max-a=", temp)) {
                options.max_a = temp[0];
                continue;
            }
            if (parse_int_after_prefix(arg, "--max-b=", temp)) {
                options.max_b = temp[0];
                continue;
            }

            System.err.println("Unknown argument: " + arg);
            return false;
        }
        return options.max_a >= 2 && options.max_b >= 2;
    }

    private static int solve(int max_a, int max_b) {
        Set<BigInteger> values = new HashSet<>();

        for (int a = 2; a <= max_a; a++) {
            BigInteger value = BigInteger.ONE;
            for (int b = 1; b <= max_b; b++) {
                value = value.multiply(BigInteger.valueOf(a));
                if (b >= 2) {
                    values.add(value);
                }
            }
        }

        return values.size();
    }

    private static boolean run_checkpoints() {
        if (solve(5, 5) != 15) {
            System.err.println("Checkpoint failed for range 2..5");
            return false;
        }
        if (solve(10, 10) != 69) {
            System.err.println("Checkpoint failed for range 2..10");
            return false;
        }
        return true;
    }

    public static void main(String[] args) {
        Options options = new Options();
        if (!parse_arguments(args, options)) {
            System.exit(1);
        }

        if (options.run_checkpoints && !run_checkpoints()) {
            System.exit(2);
        }

        System.out.println(solve(options.max_a, options.max_b));
    }
}
