First numbers that belong to both sets:
3,
5,
13,
17,
41,
113,
257,
353,
449,
577,
641,
769,
1217,
1409,
1601,
3137,
3329,
3457,
4481,
7937,
9857,
10369,
11777,
12161,
13313,
13441,
14081,
16001,
17921,
23041,
23297,
25601,
30977,
32257,
37889,
39937,
40193,
41729,
43777,
45569,
46337,
49409,
51713,
57089,
58369,
60161,
65537,
76801,
83969,
96769,
114689,
119297,
119809,
133121,
136193,
153089,
155137,
159233,
163841,
168449,
176129,
183809,
184321,
211457,
211969,
226817,
232961,
242689,
249857,
260609,
285697,
286721,
326657,
329729,
345089,
414721,
428033,
455681,
471041,
495617,
498689,
514049,
557057,
572417,
649217,
658433,
667649,
685057,
721921,
765953,
772097,
778241,
793601,
808961,
836609,
838657,
921601,
928769,
930817,
974849,
979969,
995329,
1017857,
1054721,
1067009,
1073153,
1079297,
1097729,
1146881,
1239041,
1253377,
1288193,
1312769,
1355777,
1374209,
1417217,
1423361,
1503233,
1546241,
1589249,
1662977,
1669121,
1732609,
1785857,
1841153,
1847297,
1964033,
2021377,
2119681,
2297857,
2314241,
2369537,
2387969,
2437121,
2492417,
2572289,
2574337,
2664449,
2707457,
2775041,
2787329,
2836481,
2922497,
3002369,
3053569,
3082241,
3115009,
3168257,
3174401,
3219457,
3237889,
3266561,
3280897,
3291137,
3373057,
3383297,
3391489,
3414017,
3420161,
3573761,
3588097,
3604481,
3684353,
3690497,
3721217,
3782657,
3819521,
3942401,
3956737,
3985409,
4003841,
4046849,
4169729,
4304897,
4366337,
4464641,
4476929,
4550657,
4759553,
4771841,
4907009,
5140481,
5246977,
5287937,
5308417,
5337089,
5398529,
5431297,
5656577,
5677057,
5726209,
5767169,
5779457,
5804033,
6156289,
6234113,
6307841,
6320129,
6393857,
6455297,
6578177,
6737921,
6750209,
6873089,
6885377,
6942721,
6946817,
7090177,
7168001,
7438337,
7475201,
7548929,
7630849,
7659521,
7745537,
7806977,
7925761,
7979009,
8040449,
8114177,
8122369,
8257537,
8286209,
8519681,
8753153,
8814593,
8851457,
9011201,
9023489,
9035777,
9220097,
9392129,
9441281,
9453569,
9502721,
9711617,
9760769,
9781249,
10067969,
10362881,
10436609,
10534913,
10559489,
10571777,
10579969,
10629121,
10838017,
10989569,
11059201,
11186177,
11309057,
11345921,
11358209,
11468801,
11517953,
11591681,
11677697,
11759617,
12021761,
12046337,
12206081,
12230657,
12361729,
12390401,
12451841,
12587009,
12771329,
12820481,
12902401,
12906497,
13004801,
13029377,
13152257,
13283329,
13496321,
13541377,
13570049,
13631489,
13754369,
13877249.
Some larger examples :
89325569,
89522177,
91783169,
92028929,
92471297,
92717057,
92897281,
93700097,
94273537,
94486529,
95027201,
95813633,
96010241,
96403457,
97189889,
97320961,
98697217,
99106817,
99532801,
99893249.