First numbers that belong to both sets:
5,
7,
15,
24,
28,
31,
37,
63,
65,
80,
101,
120,
124,
126,
127,
143,
145,
197,
215,
224,
226,
244,
255,
257,
323,
325,
342,
344,
399,
440,
442,
485,
511,
575,
624,
677,
728,
783,
840,
901,
960,
999,
1023,
1025,
1155,
1157,
1224,
1295,
1330,
1332,
1368,
1443,
1445,
1520,
1599,
1727,
1765,
1848,
1935,
2047,
2117,
2196,
2198,
2208,
2303,
2400,
2501,
2703,
2743,
2808,
2810,
2917,
3024,
3026,
3124,
3126,
3135,
3365,
3374,
3480,
3599,
3601,
3845,
3968,
4095,
4357,
4488,
4490,
4623,
4760,
4899,
4901,
4914,
5183,
5185,
5328,
5475,
5477,
5624,
5775,
5831,
5928,
6083,
6085,
6240,
6242,
6399,
6560,
6725,
7055,
7224,
7395,
7397,
7743,
7775,
7920,
7999,
8001,
8101,
8191,
8280,
8463,
8835,
8837,
9024,
9215,
9262,
9605,
9999,
10001,
10200,
10405,
10608,
10647,
10649,
10815,
11024,
11237,
11448,
11663,
11880,
12101,
12166,
12543,
12545,
12768,
12997,
13455,
13688,
13823,
13925,
14160,
14399,
14640,
14885,
15128,
15375,
15624,
15626,
15877,
16128,
16383,
16385,
16640,
16806,
16901,
17160,
17423,
17575,
17688,
17955,
17957,
18495,
18497,
18768,
19045,
19320,
19599,
19684,
20165,
20448,
20735,
21026,
21317,
21903,
21951,
22200,
22501,
23103,
23408,
23717,
24024,
24335,
24390,
24965,
25280,
25599,
25601,
25920,
26243,
26245,
26895,
26999,
27224,
27555,
27557,
27888,
28223,
28560,
28901,
29240,
29583,
29585,
29790,
29792,
30277,
30975,
30977,
31328,
31685,
32040,
32399,
32760,
32767,
33125,
33488,
33855,
34224,
34597,
34968,
35343,
35345,
35936,
36101,
36863,
36865,
37248,
37637,
38024,
38415,
38808,
39205,
39303,
39999,
40001,
40400,
40805,
41208,
41210,
41615,
42437,
42848,
42876,
43263,
43680,
44101,
44943,
44945,
45368,
45370,
45797,
46655,
46657,
47088,
47090,
47523,
47525,
47960,
48399,
49285,
49728,
50175,
50177,
50624,
50626,
50652,
50654,
51077,
51983,
52440.
Some larger examples :
9872165,
9884735,
9891024,
9897317,
9903608,
9909903,
9922499,
9922501,
9928800,
9935103,
9938374,
9947717,
9954024,
9960335,
9966648,
9972965,
9985599,
9991920,
9998245,
9999999.