First numbers that belong to both sets:
1,
4,
8,
9,
16,
25,
27,
32,
36,
49,
72,
81,
121,
125,
169,
216,
256,
343,
361,
432,
529,
676,
729,
961,
1296,
2187,
3456,
3872,
4563,
4761,
5292,
5476,
5832,
6125,
6561,
7056,
9216,
10125,
12167,
12321,
12769,
14161,
16129,
18769,
21296,
21632,
27436,
32761,
34969,
36125,
36963,
41472,
41616,
47432,
54925,
56169,
69696,
72361,
74529,
76729,
78125,
78961,
83232,
87616,
96721,
121032,
129032,
147456,
147852,
163216,
181476,
181656,
187272,
210125,
212521,
214369,
276125,
290521,
329476,
329672,
341056,
363096,
367236,
436921,
452929,
458329,
474721,
494325,
496125,
527076,
541696,
561816,
583696,
614125,
630125,
658503,
670761,
690561,
705672,
707472,
729632,
763876,
781456,
892143,
927472,
929296,
963272,
987696,
1030301,
1038361,
1054729,
1092727,
1234321,
1238769,
1252161,
1270129,
1276303,
1292769,
1294947,
1610361,
1630729,
1656369,
1830125,
1852321,
1874161,
1896129,
2143296,
2365632,
2509056,
2547216,
2903616,
3470769,
3498943,
3676347,
3876961,
3878307,
3892729,
4145296,
4181832,
4301476,
4343056,
4741632,
4767872,
4769856,
4925016,
5050125,
5230369,
5250987,
5298723,
5414929,
5470921,
5612161,
5638923,
5650129,
5674525,
5812921,
5870929,
5890329,
6167072,
6523272,
7230721,
7272747,
7414729,
7436529,
7458361,
7612947,
7614943,
7634169,
8503056,
8561476,
8741816,
8769672,
8785296,
8989056,
9078169,
9272709,
9418761,
9430587,
9492561,
9494523,
9678321,
9690769,
9834543,
9870125,
10161032,
10349856,
10543232,
10549656,
10929636,
12503296,
12545496,
12943872,
14167696,
14561856,
14781416,
14945472,
16941456,
18181696,
18541636,
18783072,
18903416,
18925056,
21058921,
21434787,
21836929,
21874329,
23436125,
25038963,
25230529,
25270729,
25456707,
25694761,
25816561,
25878125,
27270901,
27470527,
27678121,
27818127,
29034963,
29212967,
29278921,
29452329,
29876525,
29890125,
30581492,
32307856,
32707872,
32787076,
32901696,
32969632,
34345472,
34387416,
34503876,
34787016,
38365636,
38763076,
41254929,
41434969,
41616125,
43072969,
43256929,
43414921,
43616907,
45252529,
45414121,
47238129,
47278125,
47430769,
47458321,
47832147,
47872561,
49434961,
50183056,
52101632,
52765696,
52921472,
54163232,
54523456,
54903852,
56307272,
56349216,
61418569,
63632529,
63696361,
65454723,
67896125,
69072721,
69272329,
70123876,
70709832,
70947872,
74181672,
74381632,
76143076,
76527416,
76561056,
76983076,
78747876,
78925456,
81234169.
Some larger examples :
854743696,
856381696,
856967076,
874121672,
878307872,
894967056,
894983432,
907290909,
907636129,
907878125,
923658183,
927872521,
941078329,
941814721,
941878125,
943656961,
949810761,
967894321,
981418707,
987656329.