First numbers that belong to both sets:
49,
169,
289,
961,
1849,
3481,
3721,
5041,
5329,
6889,
11449,
11881,
12769,
16129,
17161,
18769,
26569,
32041,
32761,
36481,
38809,
51529,
58081,
72361,
96721,
100489,
113569,
121801,
128881,
143641,
167281,
185761,
187489,
201601,
229441,
241081,
316969,
326041,
332929,
358801,
368449,
375769,
380689,
383161,
398161,
410881,
436921,
477481,
516961,
546121,
703921,
734449,
737881,
744769,
776161,
779689,
786769,
908209,
954529,
966289,
994009,
1018081,
1038361,
1042441,
1062961,
1067089,
1100401,
1104601,
1190281,
1194649,
1216609,
1247689,
1261129,
1324801,
1423249,
1442401,
1495729,
1510441,
1530169,
1585081,
1635841,
1646089,
1692601,
1745041,
1868689,
1885129,
2024929,
2070721,
2468041,
2679769,
3003289,
3094081,
3179089,
3193369,
3243601,
3279721,
3352561,
3463321,
3613801,
3798601,
3806401,
3972049,
3988009,
4157521,
4592449,
5013121,
5669161,
5812921,
5841889,
6086089,
6806881,
7006609,
7091569,
7219969,
7284601,
7327849,
7349521,
7360369,
7392961,
7447441,
7513081,
7579009,
7711729,
7789681,
7845601,
7856809,
8334769,
8508889,
8779369,
8994001,
9066121,
9114361,
9369721,
9406489,
9504889,
9665881,
9840769,
10118761,
10259209,
10349089,
10374841,
10426441,
10569001,
10582009,
10621081,
11042329,
11082241,
11175649,
11282881,
11363641,
11377129,
11485321,
11607649,
11950849,
11978521,
11992369,
12020089,
12327121,
12482089,
12652249,
12752041,
13010449,
13053769,
13388281,
13490929,
14145121,
14190289,
14615329,
14691889,
15124321,
15264649,
15342889,
15452761,
15547249,
15912121,
16024009,
16056049,
16168441,
16216729,
16752649,
17032129,
17048641,
17247409,
17280649,
17648401,
17732521,
18088009,
18139081,
18344089,
18826921,
18913801,
19035769,
19439281,
19545241,
19775809,
19864849,
19918369,
20079361,
20457529,
20693401,
22287841,
22306729,
22363441,
22934521,
24039409,
24433249,
24512401,
24571849,
24671089,
24870169,
24990001,
26925721,
28121809,
28185481,
30019441,
30283009,
30327049,
30946969,
31820881,
32024281,
32296489,
32364721,
32684089,
32913169,
32982049,
33884041,
33953929,
34140649,
34351321,
34421689,
34562641,
34774609,
34845409,
35438209,
36084049,
36348841,
36517849,
37075921,
37368769,
37613689,
37834801,
37982569,
38105929,
38427601,
38477209,
38576521,
38700841,
39025009,
39150049,
39300361,
39325441,
39677401,
41589601,
43151761,
43178041,
43256929,
43652449,
43811161,
45333289,
45387169,
47018449,
49182169,
50112241,
51251281,
51652969,
51739249,
54037201,
55249489,
55965361,
56235001,
56355049,
58997761,
59644729,
60202081,
60730849,
62710561,
62837329,
62932489,
64176121,
64850809.
Some larger examples :
92987449,
93334921,
93683041,
94497841,
94848121,
94926049,
95043001,
95863681,
96098809,
96373489,
96609241,
96805921,
97160449,
97199881,
97673689,
97752769,
98029801,
98465929,
98982601,
99460729.