First numbers that belong to both sets:
1,
9,
25,
49,
169,
289,
361,
529,
729,
841,
961,
1323,
1369,
2187,
2209,
3481,
3721,
3969,
4761,
5041,
7803,
7921,
8575,
9409,
9801,
10125,
10609,
12321,
15129,
17689,
19773,
20449,
21609,
24025,
24649,
27783,
29791,
32041,
32761,
35721,
36481,
36963,
41503,
42025,
42849,
43681,
50625,
50653,
52441,
53361,
57967,
65025,
66049,
70227,
73441,
75625,
77841,
83521,
87025,
90601,
93987,
99225,
110889,
113569,
121801,
126025,
128881,
130321,
132651,
142129,
159201,
166375,
167281,
171475,
172225,
175561,
178929,
182329,
185193,
185761,
190125,
203401,
207025,
219501,
223587,
226981,
233289,
233523,
239121,
243675,
261121,
292681,
294849,
300763,
312481,
323433,
323761,
325125,
326041,
329623,
332929,
339889,
373321,
393129,
395307,
395641,
397953,
398161,
408375,
413449,
416025,
418609,
431649,
469225,
474721,
483025,
491401,
492075,
508369,
516961,
528529,
552123,
555579,
570025,
579121,
583443,
599427,
606841,
620289,
628849,
644809,
664225,
665523,
680625,
683929,
697225,
699867,
707281,
714025,
724201,
731025,
744775,
757687,
765625,
772641,
776161,
790321,
793117,
804357,
808083,
808201,
823543,
826875,
863041,
865107,
877969,
881721,
900601,
904401,
924075,
934407,
944163,
954529,
975375,
984987,
1014049,
1018081,
1042441,
1046529,
1054729,
1100401,
1104601,
1114407,
1125721,
1129969,
1134675,
1168561,
1243225,
1283689,
1288225,
1294947,
1295029,
1297321,
1339893,
1378125,
1394761,
1415907,
1447209,
1452025,
1471369,
1485961,
1497375,
1545049,
1550025,
1555009,
1565109,
1633023,
1635841,
1647243,
1661521,
1666737,
1687401,
1692601,
1703025,
1713481,
1841449,
1847677,
1860867,
1874161,
1918225,
1962801,
1974025,
1979649,
1982907,
1996569,
2002225,
2024929,
2033647,
2036329,
2041875,
2047761,
2071683,
2117025,
2122849,
2152089,
2157961,
2175625,
2223081,
2241009,
2247001,
2325625,
2331729,
2368521,
2413071,
2413827,
2449225,
2455489,
2468041,
2474329,
2478175,
2478843,
2544025,
2563201,
2611467,
2627641,
2634129,
2685619,
2725801,
2737575,
2739025,
2747547,
2758921,
2778889,
2819041,
2839225,
2879809,
2907025,
2913849,
2920681,
2954961,
2958147,
2994003,
3007693,
3010225,
3038049,
3052009,
3087049,
3108169,
3122289,
3164841,
3176523,
3243375,
3243601,
3286969,
3308761,
3323329,
3352561,
3396649,
3411409,
3463321.
Some larger examples :
9054081,
9126441,
9162729,
9259849,
9282325,
9320809,
9369721,
9381969,
9393931,
9430587,
9558675,
9566649,
9616201,
9646875,
9687627,
9728161,
9796423,
9928801,
9941409,
9948123.