First numbers that belong to both sets:
1,
9,
25,
49,
81,
121,
169,
361,
529,
729,
961,
4761,
6561,
12321,
12769,
14161,
16129,
18769,
32761,
34969,
56169,
72361,
74529,
76729,
78961,
96721,
212521,
214369,
290521,
436921,
452929,
458329,
474721,
670761,
690561,
1038361,
1054729,
1234321,
1238769,
1252161,
1270129,
1292769,
1610361,
1630729,
1656369,
1852321,
1874161,
1896129,
3470769,
3876961,
3892729,
5230369,
5414929,
5470921,
5612161,
5650129,
5812921,
5870929,
5890329,
7230721,
7414729,
7436529,
7458361,
7634169,
9078169,
9418761,
9492561,
9678321,
9690769,
21058921,
21836929,
21874329,
25230529,
25270729,
25694761,
25816561,
27678121,
29278921,
29452329,
41254929,
41434969,
43072969,
43256929,
43414921,
45252529,
45414121,
47238129,
47430769,
47458321,
47872561,
49434961,
61418569,
63632529,
63696361,
69072721,
69272329,
81234169,
81414529,
83010321,
87216921,
89056969,
89094721,
103652761,
105452361,
105616729,
105698961,
109432521,
109474369,
121418361,
123454321,
123498769,
123632161,
123810129,
125014761,
129072321,
129254161,
129436129,
143256961,
161010721,
161874729,
165456769,
167210761,
169494361,
181252369,
183250369,
303212569,
307616521,
321090561,
329894569,
343694521,
345476569,
347412321,
349278721,
361418121,
361494169,
361874529,
365230321,
367450561,
381694369,
383258929,
383650569,
385690321,
387656721,
503418969,
521254561,
523814769,
525830761,
529874361,
541074121,
541632529,
541818729,
549292969,
567058969,
581436769,
583850569,
585010969,
587432169,
589858369,
709210161,
709636321,
723018321,
725278761,
741854169,
743816529,
745890721,
763030129,
763472161,
769452121,
783272169,
907636129,
927872521,
941078329,
941814721,
943656961,
949810761,
967894321,
987656329.