First numbers that belong to both sets:
17,
41,
97,
641,
673,
769,
929,
3329,
3457,
4481,
7297,
7681,
9601,
9857,
11393,
11777,
12161,
13441,
14081,
16001,
17921,
19457,
25601,
32257,
36097,
37633,
37889,
41729,
43777,
49409,
51713,
57089,
60161,
61441,
65537,
67073,
70657,
76801,
80897,
83969,
87553,
101377,
114689,
115201,
118273,
119297,
119809,
143873,
155137,
163841,
168449,
170497,
176641,
211457,
211969,
226817,
228353,
232961,
249857,
260609,
270337,
285697,
295937,
310273,
320513,
326657,
331777,
345089,
357377,
366593,
394241,
414721,
417793,
424961,
430081,
455681,
464897,
471041,
473089,
495617,
498689,
514049,
520193,
531457,
557057,
566273,
572417,
592897,
623617,
642049,
643073,
658433,
703489,
715777,
746497,
747521,
771073,
793601,
796673,
812033,
833537,
836609,
838657,
854017,
878593,
879617,
890881,
904193,
918529,
921601,
928769,
930817,
962561,
979969,
1017857,
1022977,
1054721,
1093633,
1130497,
1161217,
1191937,
1210369,
1253377,
1312769,
1320961,
1345537,
1374209,
1417217,
1423361,
1503233,
1546241,
1579009,
1589249,
1597441,
1652737,
1662977,
1669121,
1689601,
1708033,
1712129,
1748993,
1769473,
1794049,
1810433,
1843201,
1847297,
1892353,
1908737,
1923073,
1964033,
1990657,
2021377,
2052097,
2056193,
2107393,
2254849,
2277377,
2297857,
2357249,
2363393,
2369537,
2387969,
2437121,
2469889,
2492417,
2512897,
2543617,
2592769,
2641921,
2654209,
2664449,
2707457,
2715649,
2721793,
2752513,
2775041,
2787329,
2795521,
2836481,
2856961,
2869249,
2912257,
2922497,
2930689,
2942977,
3002369,
3008513,
3127297,
3168257,
3174401,
3237889,
3260417,
3266561,
3274753,
3280897,
3291137,
3305473,
3373057,
3391489,
3428353,
3469313,
3500033,
3557377,
3573761,
3581953,
3588097,
3604481,
3606529,
3655681,
3686401,
3690497,
3782657,
3819521,
3844097,
3911681,
3926017,
3942401,
3956737,
4003841,
4005889,
4012033,
4046849,
4079617,
4085761,
4141057,
4151297,
4169729,
4171777,
4188161,
4304897,
4366337,
4464641,
4476929,
4513793,
4595713,
4632577,
4694017,
4759553,
4771841,
4780033,
4816897,
4845569,
4902913,
4907009,
5140481,
5222401,
5246977,
5287937,
5308417,
5369857,
5398529,
5578753,
5632001,
5677057,
5726209,
5738497,
5767169,
5804033,
5910529,
5984257,
6000641,
6082561,
6086657,
6209537,
6230017,
6234113,
6258689,
6320129,
6455297,
6463489,
6602753,
6635521,
6684673,
6873089,
6955009,
7065601,
7090177,
7114753,
7188481,
7229441.
Some larger examples :
92602369,
92897281,
93290497,
93601793,
93700097,
93880321,
94273537,
94519297,
95813633,
96387073,
97320961,
97763329,
98123777,
98549761,
98697217,
98861057,
98959361,
99500033,
99778561,
99893249.