First numbers that belong to both sets:
1,
1541,
2465,
14981,
18565,
30401,
64533,
89441,
125665,
300833,
312341,
324065,
439301,
481601,
653333,
922965,
1011521,
1193221,
1262305,
1357441,
1549445,
1628033,
1654661,
1735841,
1818965,
1875461,
1932821,
2050133,
2305633,
2358533,
2390561,
2487941,
2826581,
2932385,
3581761,
3740833,
3767681,
4013633,
4139525,
4153633,
4935701,
5075201,
5312021,
5408261,
6071941,
6313301,
6738005,
7028821,
7195105,
7250965,
7686401,
8393441,
8534533,
8697221,
8758625,
9215521,
9342145,
9384545,
9792133,
9835541,
10054021,
10120033,
10792033,
10974881,
11136133,
11205601,
11321861,
11840533,
12200833,
12395201,
12566533,
13440833,
13517141,
13901921,
14057345,
14555221,
14714245,
14874133,
17637025,
18046721,
18135125,
18342241,
18490901,
19212821,
19425985,
20134661,
20165761,
20635141,
20792801,
21493633,
21751361,
22238741,
22468033,
22797633,
23263105,
23464033,
23531201,
23564821,
24038021,
24242261,
25590881,
27337045,
27518465,
27956321,
28213333,
28842401,
29328133,
29403221,
29516033,
29629061,
30121345,
30197441,
30464533,
32406533,
32524961,
32921281,
34003333,
34084181,
34246165,
34327301,
34530561,
36470533,
36554261,
36680033,
36806021,
36848065,
36932225,
37185281,
37651461,
38334725,
38721761,
39154081,
39763361,
40025921,
41084801,
44482901,
44621633,
45458561,
45786133,
46586561,
46823301,
47013125,
48208225,
48738821,
49369633,
49662145,
51534785,
51684101,
52484101,
53949761,
55075105,
55280961,
55538821,
55797281,
56264021,
57360641,
57465633,
59318533,
59692641,
60606085,
60930133,
61038341,
61689605,
61744033,
61852961,
62344325,
63498401,
66345221,
66571141,
67194401,
67421761,
67763521,
68449633,
68908961,
69024033,
70180033,
71170181,
72049601,
73289861,
74182241,
74540705,
74720261,
75500833,
75681541,
75802133,
75983201,
78172865,
79094405,
79156033,
79341061,
80766785,
81390625,
81515681,
82079621,
84482133,
84800833,
84928481,
85504085,
88476421,
89587745,
92629633,
93163841,
94236865,
95790101,
96809921,
97903681.