First numbers that belong to both sets:
3,
13,
113,
193,
241,
353,
449,
577,
1153,
1217,
1409,
1601,
2113,
2689,
2753,
3137,
6529,
7937,
10369,
10753,
12289,
13313,
13697,
14593,
15233,
15361,
22273,
23041,
23297,
26113,
26881,
31489,
36353,
39937,
40193,
45569,
46337,
49921,
50177,
57601,
58369,
64513,
76289,
79873,
81409,
84481,
86017,
87041,
95233,
96769,
102913,
112129,
113153,
120833,
133121,
133633,
136193,
138241,
147457,
151553,
153089,
158209,
159233,
161281,
176129,
183809,
187393,
188417,
202753,
216577,
219649,
220673,
235009,
238081,
240641,
242689,
251393,
254977,
279553,
286721,
301057,
307201,
319489,
329729,
365569,
380929,
384001,
463873,
525313,
534529,
575489,
577537,
617473,
638977,
649217,
667649,
673793,
675841,
694273,
695297,
706561,
721921,
724993,
737281,
765953,
772097,
778241,
783361,
786433,
790529,
795649,
808961,
814081,
817153,
858113,
875521,
925697,
946177,
959489,
964609,
986113,
995329,
1032193,
1038337,
1062913,
1067009,
1073153,
1075201,
1079297,
1097729,
1103873,
1124353,
1146881,
1179649,
1196033,
1198081,
1239041,
1251329,
1288193,
1318913,
1355777,
1370113,
1376257,
1437697,
1454081,
1492993,
1509377,
1517569,
1533953,
1595393,
1628161,
1720321,
1724417,
1732609,
1751041,
1785857,
1841153,
1865729,
2101249,
2119681,
2123777,
2148353,
2209793,
2236417,
2314241,
2377729,
2414593,
2455553,
2482177,
2486273,
2516993,
2553857,
2572289,
2574337,
2639873,
2652161,
2660353,
2756609,
2768897,
2875393,
2910209,
2936833,
2979841,
3022849,
3053569,
3072001,
3076097,
3082241,
3115009,
3133441,
3194881,
3198977,
3219457,
3348481,
3360769,
3383297,
3414017,
3420161,
3438593,
3452929,
3489793,
3526657,
3543041,
3598337,
3612673,
3635201,
3647489,
3684353,
3721217,
3735553,
3850241,
3870721,
3893249,
3919873,
3944449,
3960833,
3985409,
3993601,
4104193,
4120577,
4165633,
4206593,
4263937,
4300801,
4423681,
4427777,
4435969,
4452353,
4550657,
4620289,
4866049,
4882433,
5050369,
5189633,
5234689,
5324801,
5337089,
5345281,
5410817,
5492737,
5517313,
5591041,
5656577,
5763073,
5779457,
5824513,
5849089,
5865473,
5951489,
6008833,
6111233,
6144001,
6156289,
6254593,
6307841,
6381569,
6393857,
6402049,
6537217,
6574081,
6578177,
6725633,
6737921,
6750209,
6782977,
6885377,
6942721,
6946817,
7057409,
7139329,
7168001,
7200769,
7340033,
7360513,
7413761,
7434241,
7475201,
7630849,
7643137,
7659521.
Some larger examples :
93847553,
94486529,
94781441,
94863361,
95027201,
95076353,
95354881,
96010241,
96403457,
96485377,
97189889,
97239041,
97615873,
97959937,
98746369,
98992129,
99188737,
99483649,
99532801,
99598337.