public class Test {

    static boolean valid(int n, int nuts) {
        for (int k = n; k != 0; k--, nuts -= 1 + nuts / n)
            if (nuts % n != 1)
                return false;
        return nuts != 0 && (nuts % n == 0);
    }

    public static void main(String[] args) {
        int x = 0;
        for (int n = 2; n < 10; n++) {
            while (!valid(n, x))
                x++;
            System.out.printf("%d: %d%n", n, x);
        }
    }
}