First numbers that belong to both sets:
1,
149,
337,
373,
509,
701,
757,
809,
877,
905,
977,
997,
1477,
1529,
1541,
1549,
1589,
1597,
1649,
1657,
1777,
1829,
1969,
1973,
1985,
2213,
2293,
2377,
2429,
2465,
2669,
2789,
2909,
2993,
3029,
3149,
3181,
3341,
3353,
3433,
3505,
3637,
3665,
3697,
3817,
3845,
3877,
3985,
4001,
4013,
4153,
4229,
4573,
4589,
4633,
4649,
4717,
4781,
4813,
4841,
4889,
5077,
5125,
5405,
5557,
5609,
5617,
5729,
5737,
5761,
5917,
6001,
6021,
6065,
6073,
6161,
6173,
6193,
6269,
6433,
6449,
6509,
6521,
6637,
6673,
6757,
6821,
6853,
6869,
6941,
7109,
7169,
7177,
7289,
7297,
7389,
7393,
7405,
7417,
7517,
7753,
7813,
7841,
7901,
7913,
7961,
8141,
8257,
8429,
8621,
8669,
8789,
8849,
8861,
8873,
8921,
8929,
8981,
9101,
9457,
9473,
9517,
9521,
9557,
9569,
9581,
9613,
9641,
9809,
9929,
9941,
10001,
10021,
10061,
10121,
10237,
10253,
10357,
10409,
10513,
10553,
10697,
10753,
10777,
10781,
10873,
10949,
11069,
11081,
11105,
11137,
11141,
11285,
11317,
11437,
11533,
11541,
11549,
11593,
11729,
11789,
11801,
11857,
11909,
11921,
11993,
12233,
12373,
12401,
12517,
12733,
12749,
12805,
12877,
12881,
12929,
12941,
13001,
13093,
13169,
13217,
13285,
13297,
13393,
13409,
13469,
13589,
13841,
13897,
13901,
13961,
13973,
14009,
14021,
14077,
14081,
14101,
14141,
14249,
14381,
14437,
14473,
14489,
14533,
14585,
14605,
14681,
14765,
14809,
14917,
14921,
14981,
15013,
15037,
15041,
15101,
15113,
15121,
15149,
15161,
15217,
15349,
15373,
15401,
15521,
15641,
15701,
15809,
15853,
15869,
15957,
15997,
16013,
16025,
16109,
16117,
16165,
16177,
16181,
16213,
16361,
16405,
16409,
16601,
16629,
16645,
16753,
16769,
16849,
16865,
16973,
17021,
17077,
17089,
17113,
17137,
17229,
17257,
17269,
17305,
17369,
17429,
17437,
17489,
17557,
17593,
17669,
17773,
17849,
17861,
17909,
17921,
17957,
17977,
18033,
18089,
18209,
18517,
18565,
18613.
Some larger examples :
99999193,
99999253,
99999277,
99999313,
99999373,
99999397,
99999505,
99999509,
99999569,
99999617,
99999641,
99999733,
99999749,
99999761,
99999809,
99999857,
99999881,
99999897,
99999929,
99999937.