First numbers that belong to both sets:
1,
4,
100,
121,
144,
324,
400,
441,
1024,
1444,
2304,
2401,
2704,
3721,
7744,
10000,
10201,
10404,
12100,
12321,
14400,
17424,
22201,
23104,
40000,
40401,
44100,
73441,
101124,
102400,
103041,
110224,
114244,
121104,
123201,
144400,
174724,
177241,
200704,
203401,
204304,
240100,
270400,
271441,
300304,
301401,
304704,
314721,
372100,
373321,
407044,
421201,
473344,
474721,
702244,
724201,
741321,
743044,
774400.