First numbers that belong to both sets:
31,
69,
105,
127,
169,
219,
231,
261,
319,
331,
339,
511,
519,
601,
619,
631,
679,
739,
769,
781,
819,
831,
931,
981,
1053,
1057,
1123,
1219,
1231,
1281,
1369,
1419,
1471,
1519,
1645,
1731,
1819,
1831,
1869,
1923,
1965,
2019,
2031,
2281,
2395,
2419,
2473,
2479,
2571,
2667,
2781,
2943,
3031,
3163,
3325,
3339,
3351,
3355,
3363,
3381,
3481,
3621,
3669,
3781,
3931,
3951,
3969,
3981,
4015,
4069,
4081,
4131,
4269,
4285,
4431,
4519,
4569,
4611,
4797,
4809,
4819,
4881,
4969,
5019,
5049,
5127,
5169,
5181,
5419,
5569,
5577,
5649,
5719,
5769,
5869,
6009,
6019,
6031,
6123,
6331,
6369,
6411,
6471,
6531,
6631,
6669,
6931,
6981,
7069,
7077,
7081,
7231,
7419,
7471,
7531,
7737,
7813,
7827,
7833,
7837,
7881,
7969,
8007,
8131,
8169,
8253,
8269,
8331,
8409,
8617,
8719,
8769,
8787,
8869,
8931,
9031,
9081,
9181,
9231,
9285,
9331,
9471,
9481,
9547,
9631,
9727,
9895,
10069,
10131,
10363,
10431,
10471,
10501,
10507,
10509,
10525,
10531,
10533,
10555,
10563,
10569,
10575,
10585,
10587,
10597,
10599,
10605,
10609,
10635,
10651,
10653,
10659,
10671,
10683,
10723,
10731,
10753,
10881,
10891,
11005,
11073,
11163,
11181,
11269,
11377,
11419,
11475,
11487,
11581,
11667,
11731,
11769,
11781,
12069,
12319,
12373,
12481,
12495,
12519,
12631,
12699,
12781,
12819,
12969,
13011,
13119,
13219,
13281,
13419,
13519,
13531,
13581,
13681,
13831,
14031,
14119,
14181,
14199,
14281,
14331,
14419,
14539,
14541,
14731,
14881,
14919,
14931,
15031,
15069,
15081,
15169,
15231,
15381,
15469,
15471,
15481,
15511,
15519,
15531,
15819,
15847,
15919,
15969,
15981,
16081,
16191,
16213,
16255,
16381,
16431,
16591,
16617,
16915,
16969,
16981,
17019,
17119,
17181,
17209,
17367,
17431,
17497,
17581,
17619,
17695,
17769,
17781,
18019,
18169,
18181,
18381,
18469,
18597,
18619,
18681,
18819,
18871,
18969,
19009,
19081.
Some larger examples :
9997557,
9997819,
9997981,
9998019,
9998067,
9998259,
9998419,
9998469,
9998547,
9998719,
9998803,
9998881,
9998973,
9999055,
9999057,
9999331,
9999519,
9999555,
9999681,
9999807.