First numbers that belong to both sets:
9,
27,
36,
72,
108,
125,
144,
169,
216,
225,
243,
288,
343,
432,
441,
500,
576,
676,
729,
864,
900,
972,
1000,
1152,
1323,
1331,
1352,
1369,
1372,
1728,
1764,
1800,
1944,
2000,
2025,
2209,
2304,
2704,
2744,
2809,
2916,
3087,
3125,
3249,
3267,
3375,
3456,
3528,
3600,
3721,
3888,
3969,
4000,
4608,
4761,
4913,
5292,
5324,
5329,
5408,
5476,
5488,
5832,
6075,
6125,
6561,
6859,
6889,
6912,
7056,
7200,
7776,
7803,
8000,
8100,
8649,
8836,
9216,
9261,
9747,
9801,
10125,
10584,
10648,
10816,
10952,
10976,
11025,
11236,
11449,
11664,
11881,
12321,
12348,
12500,
12996,
13068,
13225,
13500,
13824,
14112,
14161,
14283,
14400,
14884,
15125,
15129,
15552,
15876,
16000,
16200,
16875,
17672,
17689,
18432,
18769,
19044,
19652,
19683,
19881,
21125,
21168,
21296,
21316,
21632,
21904,
21952,
22472,
22707,
22801,
23328,
24025,
24300,
24500,
24696,
25000,
25281,
25921,
25992,
26136,
26244,
27000,
27225,
27436,
27556,
27648,
27783,
28224,
28800,
29241,
29403,
29768,
29791,
30375,
31104,
31212,
31329,
31752,
32000,
32400,
33075,
33489,
34596,
34969,
35344,
35937,
36125,
36481,
36864,
36963,
37044,
38025,
38088,
38988,
39204,
39304,
39601,
40500,
41209,
41503,
42025,
42336,
42592,
42632,
42849,
43264,
43808,
43904,
44100,
44521,
44944,
45125,
45369,
45387,
45796,
46656,
47524,
47961,
48600,
48841,
49000,
49284,
49392,
49923,
50000,
50653,
51984,
52272,
52488,
52900,
54000,
54289,
54872,
55112,
55125,
55296,
56169,
56448,
56644,
57132,
57600,
57967,
58081,
59319,
59536,
60025,
60500,
60516,
61731,
62001,
62208,
62424,
63504,
64000,
64009,
64800,
64827,
65025,
66125,
67500,
68121,
68921,
69192,
70225,
70688,
70756,
72361,
73728,
74088,
74529,
75076,
75843,
76176,
76729,
77976,
78125,
78408,
78608,
78732,
78961,
79524,
81000,
81675,
82369,
83349,
83521,
84500,
84672,
84681,
85184,
85264,
85849,
86528,
87025,
87616,
87723,
87808,
88200,
89401,
89888.
Some larger examples :
998244025,
998279548,
998284500,
998307216,
998370409,
998421147,
998433604,
998687432,
998749548,
998749609,
998991125,
999192100,
999223808,
999255321,
999402632,
999444996,
999450207,
999581472,
999697924,
999824400.