First numbers that belong to both sets:
17,
37,
71,
97,
149,
179,
311,
347,
733,
739,
937,
967,
1009,
1031,
1151,
1213,
1399,
1597,
1847,
1867,
3163,
3251,
3299,
3433,
3511,
3527,
3821,
7457,
7523,
9103,
9127,
9133,
9613,
10007,
10061,
10067,
10091,
10853,
11057,
11657,
11677,
11699,
11777,
11897,
12227,
12373,
14293,
14387,
14519,
14713,
15013,
15053,
15227,
16547,
16829,
16879,
16979,
17383,
17827,
17903,
17909,
18899,
18911,
19001,
19421,
19913,
30011,
30059,
30491,
30757,
31121,
31139,
31957,
33287,
33329,
34123,
35729,
35801,
36467,
36523,
38113,
38543,
38557,
38651,
70001,
70913,
73277,
73291,
73327,
73517,
73523,
73939,
74131,
74143,
75167,
76463,
77237,
77471,
79103,
79147,
79531,
79549,
79757,
79769,
79811,
91121,
92143,
92219,
92297,
92311,
92333,
92639,
93871,
93887,
94291,
94397,
97367,
98207,
98317,
98407,
98711,
98801,
98887,
100267,
100357,
101267,
103289,
103391,
103511,
103801,
103963,
104677,
106087,
106103,
106187,
106261,
107687,
107827,
108707,
108739,
108863,
108881,
111427,
111467,
112901,
113011,
114571,
115769,
119489,
119611,
120503,
120539,
120641,
120661,
127207,
127447,
127481,
127637,
128111,
128321,
131437,
132523,
134033,
135389,
136333,
139291,
143239,
143461,
145349,
145391,
148061,
148151,
148361,
148627,
148663,
149053,
150767,
151153,
156619,
156671,
157007,
159389,
159617,
159623,
159671,
160619,
162389,
166147,
166541,
166597,
166601,
168433,
169003,
169217,
169483,
169633,
169649,
175211,
175891,
176191,
177787,
178223,
178393,
178469,
181183,
181199,
181693,
184487,
184607,
184823,
184993,
185531,
189139,
189149,
189307,
189337,
190573,
190577,
195023,
195043,
195047,
196499,
197059,
197203,
197233,
300187,
300481,
302399,
302551,
302573,
302747,
303257,
303283,
311533,
311537,
311951,
311957,
312023,
315247,
316133,
316567,
316621,
316633,
318103,
323333,
324053,
324067,
324089,
324391,
327247,
327401,
333253,
334319,
339991,
340369,
340541,
340573,
340577,
340787,
344167,
345413,
345451,
345571,
345643,
346079,
349369,
350423,
350711,
350941,
361211,
361313,
361763,
362897,
363269,
369791,
370373,
370411,
371027,
371057,
371069.
Some larger examples :
199252589,
199252721,
199331917,
199332163,
199678769,
199737751,
199737763,
199764371,
199768469,
199768507,
199768553,
199770601,
199784093,
199784177,
199880489,
199880929,
199883539,
199883693,
199884017,
199968443.