First numbers that belong to both sets:
3,
5,
13,
17,
41,
193,
241,
641,
1153,
2113,
2689,
3329,
4481,
9857,
11777,
12161,
14081,
14593,
15361,
17921,
22273,
23041,
25601,
26113,
26881,
49409,
49921,
58369,
65537,
95233,
102913,
114689,
119297,
133633,
138241,
168449,
202753,
219649,
226817,
232961,
235009,
238081,
249857,
279553,
326657,
365569,
455681,
495617,
498689,
514049,
557057,
572417,
617473,
675841,
694273,
724993,
737281,
783361,
786433,
795649,
817153,
836609,
875521,
928769,
995329,
1017857,
1032193,
1054721,
1062913,
1124353,
1370113,
1374209,
1417217,
1517569,
1589249,
1662977,
1751041,
2101249,
2369537,
2387969,
2414593,
2660353,
2664449,
2707457,
2775041,
2787329,
2936833,
3022849,
3133441,
3168257,
3194881,
3348481,
3360769,
3612673,
3690497,
3819521,
3870721,
3942401,
4046849,
4165633,
4169729,
4304897,
4464641,
4476929,
4771841,
4866049,
4907009,
5234689,
5398529,
5517313,
5591041,
5763073,
5767169,
5849089,
6144001,
6320129,
6574081,
6873089,
7438337,
7667713,
7729153,
7745537,
7790593,
7806977,
7925761,
8114177,
8183809,
8286209,
8466433,
9023489,
9035777,
9080833,
9166849,
9441281,
9502721,
9646081,
9711617,
10067969,
10076161,
10186753,
10559489,
10571777,
10989569,
11046913,
11304961,
11358209,
12390401,
12451841,
12902401,
13037569,
13152257,
13283329,
13344769,
13496321,
13631489,
13877249,
14241793,
14307329,
14499841,
15052801,
15228929,
15523841,
16269313,
16355329,
16384001,
16650241,
16699393,
16957441,
17252353,
18006017,
18358273,
18497537,
18964481,
19701761,
20512769,
21200897,
22118401,
22241281,
22437889,
22601729,
23961601,
24035329,
24199169,
24764417,
26361857,
26419201,
26484737,
27353089,
27475969,
28499969,
28557313,
28827649,
29286401,
30179329,
30515201,
30785537,
32440321,
32612353,
32686081,
33538049,
33832961,
34357249,
34570241,
34643969,
34652161,
35135489,
35430401,
35684353,
36175873,
36544513,
37060609,
37232641,
37273601,
37601281,
37896193,
38133761,
38256641,
38526977,
38993921,
39493633,
40370177,
41730049,
42582017,
43294721,
43745281,
43859969,
44105729,
44285953,
44802049,
44851201,
45137921,
45506561,
45588481,
45662209,
46497793,
46522369,
47382529,
48906241,
49274881,
49438721,
49635329,
49709057,
49938433,
51191809,
51650561,
51658753,
52224001,
52412417,
52461569,
53501953,
53567489,
54747137,
56770561,
57573377,
57917441,
58531841,
58613761,
59277313,
59424769,
59523073,
60252161,
61480961,
61636609,
62537729,
63594497,
63700993,
63815681,
64438273,
64749569,
64946177,
65241089,
65290241,
65781761,
66347009,
66969601,
67649537,
68190209,
68567041,
70483969,
71811073.
Some larger examples :
926515201,
927662081,
929955841,
935165953,
935428097,
938311681,
941424641,
949616641,
952139777,
954335233,
957644801,
959119361,
961085441,
964853761,
966197249,
976355329,
985006081,
994902017,
995033089,
995622913.