First numbers that belong to both sets:
11,
17,
29,
37,
59,
67,
79,
127,
137,
149,
179,
223,
227,
239,
269,
277,
347,
367,
379,
457,
479,
499,
557,
569,
599,
1117,
1229,
1249,
1277,
1289,
1399,
1447,
1567,
1579,
1667,
1777,
2237,
2267,
2333,
2339,
2347,
2377,
2389,
2459,
2467,
2579,
2789,
2999,
3359,
3389,
3449,
3457,
3467,
3557,
4447,
4799,
4999,
5557,
5569,
5689,
5779,
6689,
6779,
6899,
7789,
8999,
11113,
11117,
11149,
11159,
11239,
11257,
11369,
11467,
11489,
11579,
11677,
11699,
11777,
12227,
12239,
12277,
12377,
12569,
12577,
12689,
12889,
13337,
13367,
13567,
13669,
13679,
13799,
14447,
14479,
14557,
14699,
14779,
15667,
15679,
16699,
17789,
18899,
22229,
22247,
22277,
22367,
22469,
22567,
22669,
22777,
23357,
23369,
23399,
23447,
23557,
23599,
23669,
23789,
24469,
24499,
25577,
25667,
25799,
25889,
26669,
26699,
26777,
27799,
33347,
33377,
33457,
33479,
33577,
33599,
33679,
33889,
34457,
34469,
34499,
34589,
34667,
35569,
36779,
36899,
37799,
37889,
44449,
44579,
44699,
44789,
45667,
46679,
47777,
55579,
55889,
56779,
57899,
58889,
59999,
67777,
77999,
111119,
111227,
111269,
111337,
111467,
111577,
111779,
112237,
112247,
112279,
112289,
112337,
112459,
112559,
112799,
113357,
113489,
113557,
113777,
113899,
114467,
114599,
114689,
115589,
115679,
115777,
116789,
122347,
122399,
122449,
122489,
122557,
122777,
123377,
123449,
123479,
123499,
124447,
124489,
124669,
124699,
124777,
125777,
125789,
133349,
133379,
133447,
133559,
133669,
134489,
134669,
134677,
134699,
134777,
134999,
135559,
135589,
135599,
138889,
144479,
144577,
144589,
144667,
145577,
145679,
145799,
146669,
146677,
155557,
155569,
155579,
155689,
156677,
156899,
157889,
157999,
166667,
166799,
167777,
168899,
178889,
179999,
188999,
199999,
222247,
222269,
222289,
222347,
222379,
223337,
223577,
223667,
223679,
223999,
224669,
224677,
224699,
225569,
225779,
226777,
227789,
233477,
234457,
234499,
234799,
235577,
235889,
236699,
236779,
239999,
244667,
244889,
246889,
246899,
247799,
256799,
266677,
267899.
Some larger examples :
55567777,
55568999,
55577789,
55578889,
55666679,
55699999,
55777789,
55788899,
56666689,
56668999,
56778899,
57777779,
57899999,
66689999,
66777779,
66788999,
67777889,
67889999,
68888899,
68888999.