First numbers that belong to both sets:
1369,
1681,
1849,
2209,
2809,
3481,
3721,
4489,
5041,
5329,
6241,
6889,
7921,
9409,
10201,
10609,
11449,
11881,
12769,
16129,
17161,
18769,
19321,
22201,
22801,
24649,
26569,
27889,
29929,
32041,
32761,
36481,
37249,
38809,
39601,
44521,
49729,
51529,
52441,
54289,
57121,
58081,
63001,
66049,
69169,
72361,
73441,
76729,
78961,
80089,
85849,
94249,
96721,
97969,
100489,
109561,
113569,
120409,
121801,
124609,
128881,
134689,
139129,
143641,
146689,
151321,
157609,
160801,
167281,
175561,
177241,
185761,
187489,
192721,
196249,
201601,
208849,
212521,
214369,
218089,
229441,
237169,
241081,
249001,
253009,
259081,
271441,
273529,
292681,
299209,
310249,
316969,
323761,
326041,
332929,
344569,
351649,
358801,
361201,
368449,
375769,
380689,
383161,
398161,
410881,
413449,
418609,
426409,
434281,
436921,
452929,
458329,
466489,
477481,
491401,
502681,
516961,
528529,
537289,
546121,
552049,
564001,
573049,
579121,
591361,
597529,
619369,
635209,
654481,
657721,
674041,
677329,
683929,
687241,
703921,
727609,
734449,
737881,
744769,
769129,
776161,
779689,
786769,
822649,
829921,
844561,
863041,
877969,
885481,
896809,
908209,
935089,
942841,
954529,
966289,
982081,
994009,
1018081,
1026169,
1038361,
1042441,
1062961,
1067089,
1079521,
1100401,
1104601,
1125721,
1129969,
1142761,
1181569,
1190281,
1194649,
1203409,
1216609,
1229881,
1247689,
1261129,
1274641,
1324801,
1329409,
1352569,
1371241,
1394761,
1408969,
1423249,
1442401,
1471369,
1481089,
1495729,
1510441,
1515361,
1530169,
1560001,
1585081,
1630729,
1635841,
1646089,
1661521,
1666681,
1682209,
1692601,
1697809,
1708249,
1739761,
1745041,
1760929,
1852321,
1868689,
1885129,
1907161,
1957201,
1985281,
2024929,
2036329,
2042041,
2053489,
2070721,
2093809,
2105401,
2111209,
2128681,
2163841,
2193361,
2199289,
2211169,
2217121,
2229049,
2247001,
2283121,
2319529,
2343961,
2380849,
2399401,
2411809,
2430481,
2455489,
2468041,
2493241,
2505889,
2550409,
2563201,
2582449,
2588881,
2601769,
2621161,
2627641,
2647129,
2679769,
2745649,
2765569,
2778889,
2785561,
2866249,
2879809,
2886601,
2920681,
2961841,
2968729,
3003289,
3031081,
3052009,
3073009,
3094081,
3157729,
3179089,
3193369,
3200521,
3243601,
3279721,
3323329,
3352561,
3411409,
3463321,
3485689,
3500641,
3508129,
3523129,
3530641,
3568321,
3613801.
Some larger examples :
96255721,
96373489,
96609241,
96687889,
96805921,
97042201,
97160449,
97199881,
97436641,
97673689,
97752769,
98029801,
98148649,
98465929,
98585041,
98624761,
98823481,
98982601,
99341089,
99460729.