First numbers that belong to both sets:
1,
9,
25,
49,
81,
121,
169,
225,
289,
361,
441,
529,
625,
729,
841,
961,
1089,
1225,
1369,
1521,
1681,
1849,
2025,
2209,
2401,
2601,
2809,
3025,
3249,
3481,
3721,
3969,
4225,
4489,
4761,
5041,
5329,
5625,
5929,
6241,
6561,
6889,
7225,
7569,
7921,
8281,
8649,
9025,
9409,
9801,
10201,
10609,
11025,
11449,
11881,
12321,
12769,
13225,
13689,
14161,
14641,
15129,
15625,
16129,
16641,
17161,
17689,
18225,
18769,
19321,
19881,
20449,
21025,
21609,
22201,
22801,
23409,
24025,
24649,
25281,
25921,
26569,
27225,
27889,
28561,
29241,
29929,
30625,
31329,
32041,
32761,
33489,
34225,
34969,
35721,
36481,
37249,
38025,
38809,
39601,
40401,
41209,
42025,
42849,
43681,
44521,
45369,
46225,
47089,
47961,
48841,
49729,
50625,
51529,
52441,
53361,
54289,
55225,
56169,
57121,
58081,
59049,
60025,
61009,
62001,
63001,
64009,
65025,
66049,
67081,
68121,
69169,
70225,
71289,
72361,
73441,
74529,
75625,
76729,
77841,
78961,
80089,
81225,
82369,
83521,
84681,
85849,
87025,
88209,
89401,
90601,
91809,
93025,
94249,
95481,
96721,
97969,
99225,
100489,
101761,
103041,
104329,
105625,
106929,
108241,
109561,
110889,
112225,
113569,
114921,
116281,
117649,
119025,
120409,
121801,
123201,
124609,
126025,
127449,
128881,
130321,
131769,
133225,
134689,
136161,
137641,
139129,
140625,
142129,
143641,
145161,
146689,
148225,
149769,
151321,
152881,
154449,
156025,
157609,
159201,
160801,
162409,
164025,
165649,
167281,
168921,
170569,
172225,
173889,
175561,
177241,
178929,
180625,
182329,
184041,
185761,
187489,
189225,
190969,
192721,
194481,
196249,
198025,
199809,
201601,
203401,
205209,
207025,
208849,
210681,
212521,
214369,
216225,
218089,
219961,
221841,
223729,
225625,
227529,
229441,
231361,
233289,
235225,
237169,
239121,
241081,
243049,
245025,
247009,
249001,
251001,
253009,
255025,
257049,
259081,
261121,
263169,
265225,
267289,
269361,
271441,
273529,
275625,
277729,
279841,
281961,
284089,
286225,
288369,
290521,
292681,
294849,
297025,
299209,
301401,
303601,
305809,
308025,
310249,
312481.
Some larger examples :
999997495371169,
999997621862121,
999997748353081,
999997874844049,
999998001335025,
999998127826009,
999998254317001,
999998380808001,
999998507299009,
999998633790025,
999998760281049,
999998886772081,
999999013263121,
999999139754169,
999999266245225,
999999392736289,
999999519227361,
999999645718441,
999999772209529,
999999898700625.