First numbers that belong to both sets:
337,
509,
997,
1259,
1759,
2213,
2843,
2909,
3643,
3739,
3779,
3967,
4567,
4663,
4889,
6173,
6883,
7109,
7417,
8467,
8527,
8669,
8719,
8849,
9521,
9907,
10079,
10513,
10753,
11279,
11743,
11789,
11909,
12203,
12479,
12517,
12671,
13297,
13469,
13619,
13841,
14107,
14303,
14347,
14437,
14489,
14639,
15149,
15401,
15607,
15809,
17137,
17257,
17519,
17669,
18637,
18719,
18869,
18959,
19163,
19273,
19319,
19583,
19819,
20599,
20693,
20879,
21247,
21683,
21893,
22453,
22817,
22943,
23099,
23173,
23339,
23509,
24281,
24683,
24697,
24821,
24889,
25349,
25747,
26647,
27197,
27259,
27437,
28057,
28087,
28289,
28499,
28559,
28843,
30403,
30539,
30727,
30911,
31091,
31237,
31259,
31357,
31817,
31963,
32009,
32069,
32309,
32621,
33161,
33547,
33797,
33967,
34183,
34273,
34679,
34919,
36037,
36073,
36457,
36479,
36767,
37003,
37123,
37409,
37663,
38053,
38189,
38377,
38501,
38803,
38873,
39251,
39521,
39779,
39869,
40289,
40387,
40903,
41549,
42359,
42379,
42509,
42943,
42989,
43103,
43207,
43499,
43633,
43759,
43867,
44417,
44927,
45389,
45613,
45893,
46061,
46601,
46663,
46757,
47093,
47129,
47363,
47441,
47459,
47797,
47939,
48131,
48281,
48383,
49307,
49559,
50159,
50839,
51899,
52733,
52783,
52889,
53309,
53819,
53993,
54059,
54217,
54727,
54959,
55079,
55109,
55511,
55799,
56737,
56857,
56963,
57107,
57373,
57493,
57991,
59399,
59809,
59833,
60223,
60271,
60343,
60397,
60449,
60689,
60943,
61657,
61933,
62017,
62219,
62423,
62801,
63247,
63337,
63367,
63629,
64019,
64513,
64901,
65129,
65381,
65497,
65563,
65789,
66089,
66509,
66739,
66763,
66821,
67349,
67369,
67499,
67607,
68329,
68639,
68669,
69073,
69163,
69239,
70229,
70429,
70729,
71647,
71789,
72313,
72823,
73091,
73243,
73483,
74077,
74323,
74363,
74653,
74797,
75883,
76213,
76343,
76441,
76949,
77029,
77249,
77291,
77849,
78059,
78283,
78583,
78929,
78989,
79139,
79193,
79241,
79379,
79493,
80347,
80369,
80789,
81463,
81853,
82361,
82619,
82799.
Some larger examples :
99992917,
99993787,
99993923,
99993997,
99994771,
99995059,
99995227,
99995527,
99995681,
99996779,
99996803,
99997619,
99997769,
99998111,
99998147,
99998999,
99999113,
99999187,
99999373,
99999787.