How make filters in java lotofacil

I saw this code on the net right here but I would like to create some filters, for example, that show the sum of the listing line numbers, prime number, and many more ... And this code below is possible to decrease this size?

public class CombinacaoLotofacilSemJDBC { public static void main(String[] args) {

        int idCombinacaoLotofacil = 0;
        /* deixando p1<=11 serao todas as combinações; cada comentario serao os filtros*/
        for (int p1 = 1; p1 <= 2; p1++) {
            for (int p2 = p1 + 1; p2 <= 12; p2++) {
                for (int p3 = p2 + 1; p3 <= 13; p3++) {
                    for (int p4 = p3 + 1; p4 <= 14; p4++) {
                        for (int p5 = p4 + 1; p5 <= 15; p5++) {
                            for (int p6 = p5 + 1; p6 <= 16; p6++) {
                                for (int p7 = p6 + 1; p7 <= 17; p7++) {
                                    for (int p8 = p7 + 1; p8 <= 18; p8++) {
                                        for (int p9 = p8 + 1; p9 <= 19; p9++) {
                                            for (int p10 = p9 + 1; p10 <= 20; p10++) {
                                                for (int p11 = p10 + 1; p11 <= 21; p11++) {
                                                    for (int p12 = p11 + 1; p12 <= 22; p12++) {
                                                        for (int p13 = p12 + 1; p13 <= 23; p13++) {
                                                            for (int p14 = p13 + 1; p14 <= 24; p14++) {
                                                                for (int p15 = p14 + 1; p15 <= 25; p15++) {

                                                                    idCombinacaoLotofacil++;

                                                                   String pesquisa= String.format("%02d ", p1) +
                                                                                    String.format("%02d ", p2) +
                                                                                    String.format("%02d ", p3) +
                                                                                    String.format("%02d ", p4) +
                                                                                    String.format("%02d ", p5) +
                                                                                    String.format("%02d ", p6) +
                                                                                    String.format("%02d ", p7) +
                                                                                    String.format("%02d ", p8) +
                                                                                    String.format("%02d ", p9) +
                                                                                    p10 + " " +
                                                                                    p11 + " " +
                                                                                    p12 + " " +
                                                                                    p13 + " " +
                                                                                    p14 + " " +
                                                                                    p15;

                                                                    // Para acompanhar processo                                                                     
                                System.out.println(idCombinacaoLotofacil + " > " + pesquisa);

                                                                }
                                                            }
                                                        }
                                                    }
                                                }
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
}

}