First numbers that belong to both sets:
1,
99541,
125875,
478225,
720271,
919809,
1583569,
1945941,
2116549,
2385901,
2598499,
2820169,
3149731,
3617469,
4125171,
5352499,
5535829,
7024069,
8700309,
8933619,
9885961,
10134559,
10278001,
10751149,
10911231,
12234475,
13072879,
13688749,
15385689,
15444451,
16536531,
16658479,
17399575,
18348625,
18865089,
20934091,
23963869,
25697575,
28162899,
30513349,
32465791,
32615199,
32786371,
33237829,
33997119,
34610725,
42037381,
43406889,
48451141,
48685825,
48764179,
50026411,
50583709,
51224401,
55153225,
55906039,
58195099,
59659921,
60268375,
61758901,
65337841,
69266481,
69765625,
71938711,
73085725,
74241811,
78028689,
82282681,
83817091,
85054825,
86266875,
86998221,
92240011,
93538225,
95722075,
96271975.