序号

m

x

y

备注

1

${\displaystyle \sum _{i=1}^t{q}_i}$

$q_i=2^{s_i}{q}^{t_i}+1$

${\displaystyle \sum _{i=1}^t{s}_i-1}$

${\displaystyle \sum _{i=1}^t{t}_i}$

q_i为质数

( $s_i\ge 0,t_i\ge 0$ )

2

$2^a{\displaystyle \prod _{i=2}^t{q}_i}$

$q_i=2^{s_i}{q}^{t_i}+1$

${\displaystyle \sum _{i=\text{2}}^t{s}_i}+a-2$

${\displaystyle \sum _{i=2}^t{t}_i}$

q_i为质数

( $s_i\ge 0,t_i\ge 0$ )

3

$q^b{\displaystyle \prod _{i=2}^t{q}_i}$

$q_i=2^{s_i}{q}^{t_i}+1$

${\displaystyle \sum _{i=\text{2}}^t{s}_i}-1$

${\displaystyle \sum _{i=2}^t{t}_i}+b-1$

q_i为质数

( $s_i\ge 0,t_i\ge 0$ )，当 $t=0$ 时， $s\ge \text{2}$

4

${\text{2}}^a{q}^b{\displaystyle \prod _{i=3}^t{q}_i}$

$q_i=2^{s_i}{3}^{t_i}+1$

${\displaystyle \sum _{i=1}^t{s}_i}+a-2$

${\displaystyle \sum _{i=1}^t{t}_i}+b-1$

q_i为质数

( $s_i\ge 0,t_i\ge 0$ )