First numbers that belong to both sets:
1,
905,
1985,
2789,
3029,
3239,
4153,
6283,
7297,
7583,
7603,
8873,
9641,
9809,
9941,
10391,
11219,
11627,
12595,
12749,
13799,
14107,
14303,
14347,
15119,
15121,
16025,
16499,
16543,
16739,
16783,
16849,
17113,
17137,
17411,
17557,
17909,
18427,
19483,
20201,
20323,
20651,
20653,
21037,
21457,
22361,
22439,
22943,
22957,
23099,
23111,
23651,
23935,
24323,
24431,
24433,
24599,
24665,
24697,
25987,
26051,
26615,
27197,
27475,
27673,
27893,
28169,
28499,
29381,
29833,
30131,
30539,
31619,
32257,
33161,
33809,
34525,
34561,
35729,
35947,
36457,
37349,
37391,
37931,
38107,
39277,
39509,
40027,
40049,
40289,
41107,
41591,
42989,
43289,
43565,
43619,
44291,
44609,
44885,
45579,
45581,
45623,
45733,
46033,
46121,
46229,
46363,
46859,
47279,
47455,
48005,
49151,
49447,
49559,
50549,
50617,
50661,
50891,
52103,
52447,
53183,
53227,
53293,
53351,
53549,
53813,
54287,
54329,
54353,
54629,
54827,
55103,
55169,
55409,
56291,
56293,
56767,
56833,
56963,
57119,
57131,
57373,
58067,
58627,
59189,
60271,
60403,
60943,
61109,
61439,
61483,
61649,
61867,
61933,
62407,
62453,
62771,
63247,
63269,
63291,
63487,
64073,
65129,
65363,
65407,
65473,
65713,
65803,
67181,
67379,
67391,
68735,
68755,
69041,
69085,
69239,
69989,
70663,
71755,
72041,
72129,
73495,
73813,
73903,
74069,
74653,
75863,
76691,
76943,
78289,
78959,
79061,
79711,
80383,
81097,
81439,
81505,
83171,
83381,
83533,
83711,
84373,
85199,
85409,
85739,
85927,
86167,
86797,
87083,
87337,
87403,
87469,
87613,
87853,
88327,
88569,
88649,
88781,
88933,
88979,
89497,
89561,
90731,
91393,
91933,
92549,
92737,
95051,
95647,
95977,
96517,
96727,
96903,
97123,
97211,
97289,
97729,
97807,
97961,
98501,
99757,
100087,
100769,
101377,
101551,
101827,
101983,
102071,
102149,
102389,
102719,
103237,
103559,
104077,
104231,
104813,
105289,
105477,
106567,
107647,
107813,
107857,
107923,
108551,
109949,
110213,
110623,
111329,
111395,
111679,
111681,
112453,
112949,
113323,
113411,
113477,
113797,
114941,
115481,
115483.
Some larger examples :
9997517,
9997619,
9997903,
9997925,
9997927,
9998291,
9998677,
9998729,
9998819,
9998831,
9999007,
9999161,
9999239,
9999269,
9999523,
9999569,
9999613,
9999823,
10000043,
10000109.