First numbers that belong to both sets:
2,
3,
5,
7,
11,
13,
17,
19,
23,
29,
37,
47,
59,
67,
79,
89,
113,
127,
137,
139,
149,
157,
167,
179,
199,
223,
227,
229,
233,
239,
257,
269,
277,
337,
347,
349,
359,
367,
379,
389,
449,
457,
467,
479,
499,
557,
569,
577,
599,
677,
1117,
1123,
1129,
1223,
1229,
1237,
1249,
1259,
1277,
1279,
1289,
1367,
1399,
1447,
1459,
1489,
1499,
1559,
1567,
1579,
1667,
1669,
1699,
1777,
1789,
1889,
1999,
2237,
2239,
2267,
2269,
2333,
2339,
2347,
2357,
2377,
2389,
2399,
2447,
2459,
2467,
2477,
2557,
2579,
2677,
2689,
2699,
2777,
2789,
2999,
3347,
3359,
3389,
3449,
3457,
3467,
3469,
3499,
3557,
3559,
3677,
3779,
3889,
4447,
4457,
4567,
4679,
4789,
4799,
4889,
4999,
5557,
5569,
5669,
5689,
5779,
6679,
6689,
6779,
6899,
7789,
8999,
11113,
11117,
11119,
11149,
11159,
11177,
11239,
11257,
11279,
11299,
11369,
11399,
11447,
11467,
11489,
11579,
11677,
11689,
11699,
11777,
11779,
11789,
12227,
12239,
12269,
12277,
12289,
12347,
12377,
12379,
12457,
12479,
12569,
12577,
12589,
12689,
12799,
12889,
12899,
13337,
13339,
13367,
13399,
13457,
13469,
13477,
13499,
13567,
13577,
13669,
13679,
13789,
13799,
13999,
14447,
14449,
14479,
14489,
14557,
14669,
14699,
14779,
15559,
15569,
15667,
15679,
15889,
16699,
16889,
17789,
18899,
22229,
22247,
22259,
22277,
22279,
22349,
22367,
22369,
22447,
22469,
22567,
22669,
22679,
22699,
22777,
23333,
23339,
23357,
23369,
23399,
23447,
23459,
23557,
23567,
23599,
23669,
23677,
23689,
23789,
23899,
24469,
24499,
24677,
24799,
24889,
25577,
25579,
25589,
25667,
25679,
25799,
25889,
25999,
26669,
26699,
26777,
27779,
27799,
33347,
33349,
33359,
33377,
33457,
33469,
33479,
33569,
33577,
33589,
33599,
33679,
33889,
34457,
34469,
34499,
34589,
34667,
34679,
35569,
35677,
35899,
35999,
36677,
36779,
36899,
37799,
37889,
44449.
Some larger examples :
666677888999,
666678888899,
666777777779,
666777779999,
666788888999,
666788899999,
667777788889,
667777888889,
667778899999,
667888889999,
677777777899,
677777899999,
677779999999,
677899999999,
678888899999,
688888888999,
777777788899,
777788899999,
778888888889,
788888888899.