First numbers that belong to both sets:
3,
7,
13,
31,
43,
73,
151,
193,
241,
283,
349,
421,
433,
463,
601,
619,
643,
823,
883,
1021,
1093,
1231,
1291,
1303,
1723,
1879,
1933,
2083,
2113,
2239,
2311,
2593,
2689,
2971,
3121,
3259,
3301,
3559,
3931,
4003,
4129,
4483,
4519,
4801,
4969,
5233,
5419,
5503,
5641,
5851,
5869,
6271,
6301,
6553,
6661,
6763,
6871,
7129,
7333,
7459,
7489,
7549,
7591,
7951,
8089,
8221,
8233,
8539,
9421,
9631,
10009,
10069,
10459,
10501,
10531,
10891,
11059,
11173,
11491,
11833,
12163,
12379,
13009,
13219,
13681,
13693,
13723,
13759,
13831,
14449,
15271,
16981,
17209,
17389,
17581,
17749,
18043,
18049,
18253,
18523,
19081,
19543,
19963,
19993,
20149,
20359,
20509,
20551,
20773,
20899,
21013,
21193,
21613,
21739,
21841,
22039,
22093,
22369,
23041,
23293,
23563,
23671,
23689,
24181,
25033,
25171,
25309,
26251,
26263,
26683,
26881,
26893,
27061,
27283,
27409,
27541,
27691,
27751,
27793,
28351,
30013,
30559,
30871,
31081,
31249,
31723,
31849,
32119,
32533,
32563,
32803,
32833,
33151,
33181,
33289,
33349,
33601,
33769,
34129,
34213,
34261,
34513,
35449,
36469,
36529,
37339,
37549,
37813,
38461,
38611,
38653,
38713,
38749,
38923,
39043,
39841,
40153,
40849,
42073,
42643,
43543,
43579,
43789,
43891,
44383,
45121,
45139,
45181,
45343,
46309,
47419,
47743,
48481,
48541,
48679,
49123,
49279,
49921,
50023,
50053,
50551,
50893,
51349,
51421,
51871,
52291,
52861,
52903,
53593,
53719,
54403,
54583,
55219,
55621,
55633,
55819,
55903,
56209,
56269,
56479,
56533,
58171,
58393,
59443,
59473,
60259,
60763,
60889,
61153,
62143,
62191,
62299,
62929,
62983,
64189,
64579,
64921,
65029,
65101,
65173,
65521,
65839,
66109,
67189,
67579,
67759,
68113,
68209,
68449,
69259,
70459,
70573,
71329,
71341,
72223,
72649,
73363,
74101,
74161,
74509,
74761,
75211,
75391,
75709,
75991,
76423,
76831,
76873,
77263,
77269,
77689,
78193,
78511,
79153,
79561,
80209,
80473,
80671,
80683,
80749.
Some larger examples :
9977743,
9978721,
9980239,
9981373,
9981691,
9984061,
9984649,
9985111,
9985231,
9988399,
9988579,
9989323,
9989923,
9991771,
9993091,
9993409,
9993703,
9993913,
9998971,
9999049.