First numbers that belong to both sets:
251,
977,
1019,
1087,
1199,
1243,
1259,
1271,
1541,
1589,
1777,
1783,
1807,
1829,
1969,
2231,
2279,
2293,
2579,
2669,
2683,
2789,
2843,
2879,
2909,
3029,
3119,
3149,
3181,
3187,
3215,
3239,
3433,
3739,
3967,
4063,
4151,
4195,
4229,
4271,
4327,
4503,
4543,
4567,
4573,
4589,
4633,
4649,
4663,
4717,
4781,
4811,
4843,
4855,
4889,
5077,
5125,
5143,
5303,
5323,
5405,
5467,
5557,
5609,
5729,
5731,
5737,
5761,
5771,
5923,
5951,
6065,
6073,
6173,
6193,
6269,
6283,
6433,
6449,
6463,
6521,
6535,
6547,
6637,
6659,
6673,
6731,
6757,
6853,
6869,
6883,
6941,
7151,
7169,
7177,
7199,
7267,
7289,
7297,
7319,
7331,
7379,
7387,
7389,
7393,
7405,
7417,
7431,
7517,
7535,
7547,
7583,
7603,
7747,
7753,
7783,
7799,
7807,
7811,
7813,
7841,
7867,
7901,
7913,
7961,
8023,
8031,
8087,
8107,
8111,
8141,
8159,
8257,
8287,
8363,
8387,
8399,
8411,
8429,
8467,
8527,
8563,
8587,
8621,
8669,
8789,
8831,
8849,
8861,
8873,
8887,
8915,
8921,
8923,
8981,
9115,
9239,
9307,
9371,
9391,
9431,
9457,
9473,
9517,
9521,
9557,
9581,
9613,
9641,
9787,
9809,
9907,
9929,
9941,
9959,
10001,
10007,
10021,
10027,
10061,
10079,
10121,
10199,
10235,
10237,
10253,
10327,
10379,
10391,
10409,
10447,
10451,
10483,
10511,
10513,
10553,
10607,
10697,
10753,
10777,
10781,
10873,
10949,
10963,
11015,
11023,
11039,
11081,
11083,
11105,
11137,
11141,
11171,
11207,
11219,
11227,
11231,
11239,
11279,
11285,
11317,
11347,
11411,
11435,
11437,
11533,
11541,
11549,
11579,
11593,
11627,
11695,
11729,
11743,
11771,
11789,
11801,
11857,
11909,
11921,
11993,
12007,
12131,
12191,
12203,
12223,
12233,
12239,
12251,
12371,
12373,
12401,
12427,
12431,
12479,
12517,
12595,
12671,
12727,
12731,
12733,
12749,
12791,
12805,
12877,
12881,
12929,
12941,
13001,
13083,
13091,
13093,
13099,
13147,
13169,
13217,
13285,
13297,
13351,
13393.
Some larger examples :
29513,
29579,
29609,
29617,
29623,
29647,
29653,
29669,
29689,
29707,
29741,
29759,
29771,
29833,
29863,
29873,
29909,
29971,
29977,
29983.