First numbers that belong to both sets:
11,
13,
103,
181,
631,
701,
1153,
1171,
1801,
1933,
2017,
2053,
2143,
2213,
2521,
2633,
3041,
3373,
3391,
3469,
4057,
4231,
5281,
5333,
5717,
6121,
6301,
7043,
7333,
8101,
9241,
10151,
10313,
10463,
11321,
11657,
12241,
12553,
12601,
13729,
15107,
15121,
17011,
17123,
18061,
18313,
18919,
19141,
20129,
20431,
21713,
22921,
23173,
23311,
23719,
25423,
29311,
29641,
31019,
31547,
32203,
32401,
33013,
33091,
33301,
33413,
33811,
35291,
36319,
36353,
37123,
37321,
39521,
39581,
40543,
41117,
41131,
41243,
42307,
43223,
44101,
44389,
44657,
45061,
45139,
46703,
47221,
47317,
48541,
49957,
50023,
50111,
50311,
50513,
50599,
52223,
54001,
54331,
55127,
55291,
56999,
58337,
60413,
60703,
63113,
66271,
66763,
68611,
70207,
70249,
71039,
72139,
72229,
72623,
73651,
74027,
74531,
75583,
75941,
76261,
77291,
79907,
81049,
82051,
82507,
82729,
83357,
84143,
85061,
91309,
92269,
99053,
100333,
100403,
100649,
100801,
100913,
101183,
101363,
101383,
101411,
101503,
102023,
102241,
102913,
103291,
106993,
107123,
109721,
109961,
110051,
110237,
110251,
110543,
111467,
111751,
112459,
112543,
112741,
113041,
114031,
114451,
114691,
115201,
117223,
117731,
118471,
120209,
121453,
122041,
122117,
123017,
123127,
123169,
123457,
123503,
123527,
123833,
124067,
124513,
126001,
126241,
127219,
127507,
130099,
130183,
131221,
131591,
133403,
135241,
136277,
137089,
139313,
140533,
140689,
141079,
141107,
141121,
146449,
147031,
149033,
150413,
150503,
151357,
151609,
151939,
153379,
154213,
154459,
154523,
155047,
155171,
155627,
156019,
157081,
157841,
160603,
161017,
161071,
161611,
162229,
162391,
163367,
164209,
164627,
165181,
165479,
166571,
169501,
170101,
170213,
172127,
173573,
174121,
175081,
175573,
175601,
177511,
177601,
178039,
181141,
181639,
185491,
187141,
188801,
190613,
192347,
194543,
196051,
196927,
198901,
199049,
199153,
200257,
200341,
201557,
202639,
204301,
204679,
204947,
205081,
205171,
205201,
205223,
207199,
208963,
210263,
210283,
210643,
210739,
211231,
211543,
212353,
213097,
214243,
215329,
216289,
218047,
220411,
221401.
Some larger examples :
999797231,
999810347,
999821701,
999845183,
999846719,
999851063,
999851933,
999861581,
999862159,
999875351,
999877519,
999891047,
999919729,
999920387,
999925337,
999929797,
999933307,
999955013,
999968341,
999980231.