序号

m

x

y

备注

1

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

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

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

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

q_i为质数

()

2

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

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

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

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

q_i为质数

( $s_i\ge 1,t_i\ge 0$ )

3

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

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

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

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

q_i为质数

( $s_i\ge 1,t_i\ge 0$ )

$s=\text{1}$ 时， $t\ne 0$

4

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

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

${\displaystyle \sum _{i=3}^t{s}_i}+a-\text{2}$

${\displaystyle \sum _{i=3}^t{t}_i}+b-1$

q_i为质数

( $s_i\ge 1,t_i\ge 0$ )

$s=\text{1}$ 时， $t\ne 0$