First numbers that belong to both sets:
127,
347,
1285,
2501,
2503,
2505,
2507,
2509,
2737,
3281,
6145,
10255,
11663,
11665,
12091,
12101,
12107,
12109,
13243,
13813,
13823,
14129,
14647,
15567,
15613,
15617,
15629,
15635,
15641,
15661,
15667,
15679,
15689,
15697,
16295,
16381,
16385,
16387,
16447,
16759,
16765,
16783,
16797,
16879,
17437,
18435,
19653,
19693,
19739,
21495,
21845,
21943,
21953,
22757,
24385,
24393,
25895,
27653,
28547,
28559,
29517,
29519,
29527,
29531,
29549,
32747,
32759,
32765,
32771,
32783,
32785,
32795,
32815,
32845,
32849,
32853,
32885,
33655,
34991,
35933,
36457,
37187,
38427,
39283,
39313,
39343,
39363,
39369,
39945,
43691,
44977,
45361,
45367,
45947,
46613,
46615,
46619,
46633,
46637,
46643,
46649,
46651,
46653,
46657,
46661,
46663,
46673,
46691,
48751,
48757,
48759,
49277,
52429,
52483,
52493,
53245,
53297,
54953,
58921,
58957,
58971,
59039,
59051,
59053,
59057,
59059,
59129,
59147,
59263,
59273,
59313,
59759,
62503,
63895,
64513,
65471,
65483,
65487,
65489,
65491,
65531,
69253,
69895,
69985,
74183,
74353,
74533,
74897,
75433,
77459,
78055,
78133,
78163,
78545,
78605,
78659,
83357,
83957,
91853,
97333,
97343,
98435,
101299,
102391,
102497,
102505,
102955,
103681,
103685,
103687,
104879,
104897,
104969,
105295,
106289,
106923,
107329,
108233,
109351,
109357,
112895,
114245,
114377,
114395,
114647,
114679,
114697,
114737,
114779,
115249,
115699,
116317,
116635,
116729,
116827,
116837,
117067,
117571,
117577,
117587,
117613,
117619,
117627,
117629,
117633,
117641,
117643,
117647,
117653,
117659,
117661,
117667,
117673,
117677,
117685,
117695,
117697,
117739,
117763,
117767,
117785,
118259,
118327,
118543,
118567,
118673,
122503,
122791,
123199,
123265,
124385,
124415,
124483,
124585,
124973,
124991,
125003,
125005,
125007,
125009,
125011,
125017,
125021,
125023,
125029,
125031,
125033,
125039,
125041,
125043,
125047,
125051,
125053,
125057,
125059,
125061,
125063,
125065,
125067,
125071,
125077,
125081,
125083,
125087,
125089,
125093,
125095,
125099,
125317,
125943,
125995,
126035,
126397,
126559,
126563,
126737,
127417,
127453,
127583,
127587.
Some larger examples :
970369,
970451,
972197,
972415,
974815,
976523,
976529,
976553,
976559,
976573,
976583,
976595,
979769,
983041,
983045,
983047,
983485,
995341,
995347,
999163.