First numbers that belong to both sets:
5,
13,
41,
65,
145,
161,
257,
353,
609,
1025,
1217,
2113,
2817,
2945,
3265,
3713,
3841,
4033,
4481,
6529,
6657,
8705,
9089,
9345,
9601,
9729,
11265,
12161,
12545,
12673,
12929,
13441,
14209,
14593,
15105,
15361,
15617,
16385,
22785,
24577,
25345,
25601,
27393,
28161,
29185,
30721,
30977,
32513,
33025,
33537,
35329,
35841,
36865,
39169,
40961,
44289,
44545,
44801,
45313,
46081,
48641,
49153,
50177,
50689,
52993,
53761,
54529,
55297,
55809,
58881,
60417,
61953,
62465,
63745,
64001,
64769,
67073,
75777,
82945,
85505,
90625,
97281,
110593,
116225,
117761,
118785,
119297,
120321,
121857,
129025,
129537,
130561,
136705,
137217,
146433,
157697,
160769,
162305,
168961,
178689,
189441,
193025,
201729,
202753,
204289,
210945,
217601,
224257,
227329,
231425,
238081,
239105,
239617,
240129,
240641,
241665,
250881,
253953,
254465,
259585,
260097,
262145,
273409,
277505,
288769,
294913,
296961,
323585,
326657,
331777,
335873,
349185,
364545,
382977,
414721,
415745,
420865,
462849,
482305,
489473,
495617,
522241,
560129,
590849,
602113,
617473,
625665,
626689,
633857,
640001,
641025,
648193,
651265,
665601,
672769,
676865,
686081,
696321,
714753,
751617,
755713,
762881,
763905,
770049,
775169,
787457,
790529,
794625,
805889,
818177,
820225,
825345,
826369,
828417,
840705,
868353,
877569,
881665,
883713,
889857,
894977,
909313,
932865,
943105,
961537,
973825,
986113,
1002497,
1012737,
1014785,
1032193,
1042433,
1054721,
1062913,
1112065,
1116161,
1148929,
1173505,
1214465,
1267713,
1320961,
1327105,
1349633,
1353729,
1359873,
1388545,
1398785,
1417217,
1464321,
1466369,
1470465,
1474561,
1501185,
1533953,
1536001,
1548289,
1554433,
1566721,
1585153,
1587201,
1599489,
1626113,
1640449,
1646593,
1665025,
1710081,
1777665,
1787905,
1806337,
1818625,
1835009,
1839105,
1859585,
1865729,
1916929,
1947649,
1953793,
2025473,
2039809,
2111489,
2117633,
2131969,
2179073,
2238465,
2275329,
2279425,
2304001,
2310145,
2312193,
2340865,
2355201,
2371585,
2428929,
2502657,
2521089,
2541569,
2639873,
2684929,
2721793,
2777089,
2811905,
2830337,
2838529,
2842625,
2844673,
2863105,
2897921,
2899969,
2918401,
2926593,
2934785,
2951169,
2957313,
2963457,
2981889,
2985985,
3104769,
3117057,
3176449,
3186689.
Some larger examples :
8749057,
8806401,
8826881,
8945665,
9052161,
9089025,
9162753,
9228289,
9256961,
9281537,
9314305,
9396225,
9441281,
9539585,
9543681,
9711617,
9744385,
9842689,
9854977,
9879553.