First numbers that belong to both sets:
1,
49,
169,
361,
961,
1369,
1849,
3721,
4489,
5329,
6241,
8281,
9409,
10609,
11881,
14641,
16129,
17689,
19321,
22801,
24649,
26569,
32761,
37249,
39601,
44521,
47089,
49729,
52441,
58081,
61009,
67081,
73441,
76729,
80089,
90601,
94249,
97969,
109561,
113569,
121801,
134689,
139129,
143641,
157609,
162409,
167281,
177241,
182329,
187489,
192721,
208849,
214369,
219961,
231361,
237169,
249001,
261121,
273529,
292681,
299209,
305809,
312481,
326041,
332929,
346921,
361201,
368449,
375769,
383161,
398161,
413449,
436921,
452929,
461041,
477481,
494209,
502681,
519841,
528529,
537289,
546121,
564001,
573049,
582169,
591361,
619369,
628849,
657721,
667489,
677329,
687241,
717409,
727609,
737881,
758641,
769129,
779689,
790321,
822649,
844561,
877969,
900601,
923521,
935089,
946729,
982081,
994009,
998001,
1018081,
1042441,
1054729,
1067089,
1079521,
1104601,
1117249,
1129969,
1142761,
1181569,
1194649,
1207801,
1247689,
1261129,
1274641,
1301881,
1315609,
1329409,
1343281,
1371241,
1442401,
1471369,
1515361,
1530169,
1560001,
1590121,
1605289,
1620529,
1635841,
1666681,
1682209,
1697809,
1745041,
1760929,
1776889,
1792921,
1825201,
1907161,
1923769,
1940449,
1957201,
2007889,
2024929,
2042041,
2093809,
2111209,
2128681,
2163841,
2181529,
2199289,
2217121,
2253001,
2343961,
2380849,
2399401,
2436721,
2455489,
2474329,
2493241,
2531281,
2550409,
2569609,
2588881,
2627641,
2647129,
2725801,
2745649,
2765569,
2785561,
2825761,
2845969,
2866249,
2886601,
2968729,
2989441,
3031081,
3052009,
3073009,
3094081,
3157729,
3179089,
3200521,
3243601,
3265249,
3272481,
3352561,
3396649,
3463321,
3485689,
3508129,
3530641,
3575881,
3598609,
3736489,
3759721,
3806401,
3829849,
3853369,
3924361,
3948169,
3972049,
3996001,
4044121,
4068289,
4116841,
4165681,
4214809,
4289041,
4313929,
4338889,
4363921,
4464769,
4490161,
4541161,
4549689,
4566769,
4592449,
4618201,
4669921,
4748041,
4800481,
4853209,
4932841,
5013121,
5067001,
5094049,
5121169,
5148361,
5202961,
5230369,
5257849,
5285401,
5340721,
5368489,
5480281,
5508409,
5536609,
5564881,
5621641,
5650129,
5678689,
5707321,
5764801,
5822569,
5938969,
5968249,
5997601,
6086089,
6115729,
6145441,
6265009,
6295081,
6355441,
6446521,
6507601,
6538249,
6599761,
6692569,
6723649,
6817321,
6848689,
6880129,
6974881,
7006609,
7038409,
7070281,
7134241,
7166329,
7198489,
7230721,
7295401.
Some larger examples :
8684809,
8720209,
8826841,
8862529,
8898289,
9006001,
9042049,
9114361,
9186961,
9223369,
9296401,
9369721,
9406489,
9443329,
9480241,
9591409,
9665881,
9740641,
9815689,
9853321.