First numbers that belong to both sets:
1,
40401,
62001,
96721,
121801,
192721,
326041,
410881,
555025,
660969,
683929,
772641,
786769,
822649,
1343281,
1390041,
1530169,
1739761,
1885129,
1923769,
1962801,
2283121,
2544025,
2913849,
3207681,
3214849,
3352561,
3396649,
3613801,
3775249,
3853369,
4060225,
4289041,
4338889,
4397409,
4490161,
4756761,
4800481,
4879681,
5058001,
5175625,
5527201,
5736025,
5745609,
5851561,
6295081,
6487209,
6548481,
7017201,
7155625,
7230721,
7241481,
7252249,
7789681,
8003241,
8173881,
8185321,
8323225,
8334769,
9126441,
9603801,
9840769,
10182481,
10400625,
10543009,
10804369,
10896601,
11108889,
11363641,
11785489,
12159169,
12313081,
12766329,
14010049,
14478025,
14538969,
15077689,
15531481,
17480761,
19193161,
19439281,
19651489,
20493729,
20729809,
20912329,
22212369,
22439169,
22553001,
22648081,
22953681,
23011209,
24039409,
24117921,
24235929,
24453025,
24730729,
25010001,
25090081,
25371369,
25411681,
25816561,
25999801,
27615025,
27825625,
28804689,
28976689,
29452329,
29560969,
30283009,
30415225,
30680521,
31775769,
32001649,
32364721,
32433025,
32638369,
32844361,
32959081,
33466225,
33744481,
34140649,
34234201,
34468641,
34869025,
35414401,
35772361,
36180225,
36397089,
36469521,
36566209,
36784225,
37027225,
37491129,
39955041,
40564161,
40998409,
41254929,
41589601,
41770369,
42601729,
43151761,
44555625,
44635761,
45576001,
45846441,
47018449,
47210641,
47265625,
47844889,
48233025,
48539089,
48762289,
49463089,
49632025,
50537881,
50822641,
51912025,
51998521,
52171729,
52345225,
54243225,
54656449,
55398249,
55487601,
55845729,
55875625,
56115081,
56385081,
56505289,
57562569,
57714409,
57927321,
58415449,
58599025,
59706529,
60512841,
60855601,
61074225,
61512649,
61732449,
62932489,
63409369,
63984001,
65399569,
67354849,
67617729,
68873401,
69872881,
70509609,
72131049,
72199009,
73017025,
73359225,
73599241,
73805281,
73942801,
74218225,
74701449,
76300225,
76440049,
76895361,
77105961,
77211369,
77246521,
77457601,
78872161,
79085449,
79762761,
80192025,
81234169,
81270225,
81956809,
83046769,
83557881,
84070561,
84143929,
84695209,
85211361,
85359121,
85470025,
85618009,
85655025,
87665769,
88604569,
88981489,
89775625,
91107025,
91145209,
91374481,
96766569,
99620361.