First numbers that belong to both sets:
4,
8,
9,
63,
175,
209,
333,
371,
377,
407,
629,
849,
935,
1073,
1255,
1349,
1765,
2048,
2133,
2135,
2227,
2249,
2263,
2315,
2335,
2379,
2407,
2449,
2483,
2537,
2577,
2597,
2623,
2627,
2645,
2735,
2737,
2738,
2757,
2773,
2849,
2863,
2973,
3145,
3215,
3235,
3362,
3385,
3437,
3477,
3523,
3569,
3635,
3749,
3941,
3949,
4151,
4225,
4247,
4249,
4265,
4267,
4269,
4285,
4355,
4403,
4405,
4449,
4469,
4573,
4599,
4624,
4685,
4735,
4849,
4869,
4953,
4955,
5259,
5321,
5327,
5329,
5367,
5567,
5833,
6249,
6443,
6649,
6669,
6937,
7123,
7279,
7299,
7363,
8201,
8203,
8207,
8225,
8245,
8289,
8825,
8973,
8977,
8978,
9237,
9347,
9385,
9493,
9723,
9947,
10693,
12367,
12415,
13133,
13373,
13393,
14363,
16213,
16293,
16437,
16439,
16473,
16479,
16543,
16743,
16857,
17157,
17243,
17247,
17249,
17287,
17357,
17424,
17463,
17841,
17843,
17845,
17847,
17849,
18347,
18697,
19243,
19733,
20203,
20243,
20263,
20539,
20843,
20933,
20973,
21235,
21349,
21439,
21743,
21785,
21835,
22025,
22195,
22243,
22249,
22267,
22285,
22315,
22333,
22355,
22373,
22393,
22463,
22465,
22467,
22489,
22535,
22537,
22557,
22597,
22663,
22733,
22735,
22753,
22773,
22823,
22825,
22883,
22951,
22953,
22955,
22957,
22959,
23215,
23237,
23239,
23347,
23365,
23437,
23439,
23477,
23527,
23543,
23583,
23587,
23637,
23657,
23673,
23679,
23723,
23749,
23763,
23853,
23875,
23897,
23907,
23947,
23963,
24157,
24245,
24265,
24289,
24353,
24375,
24397,
24467,
24483,
24487,
24489,
24591,
24599,
24607,
24625,
24627,
24629,
24643,
24667,
24681,
24685,
24737,
24739,
24751,
24753,
24755,
24757,
24773,
24803,
24823,
24863,
24865,
24883,
24937,
25235,
25257,
25273,
25275,
25327,
25433,
25435,
25437,
25473,
25477,
25547,
25637,
25659,
25723,
25769,
26243,
26244,
26247,
26333,
26337,
26443,
26483,
26533,
26555,
26593,
26739,
26807,
27129,
27237,
27323,
27347,
27349,
27363.
Some larger examples :
9987233,
9987275,
9987437,
9987833,
9987925,
9987943,
9988337,
9990239,
9992327,
9992633,
9992653,
9994437,
9994637,
9994789,
9995223,
9996983,
9999223,
9999227,
9999827,
9999865.