First numbers that belong to both sets:
1,
3,
5,
7,
31,
53,
64,
97,
121,
211,
233,
277,
367,
389,
413,
457,
479,
547,
569,
613,
659,
727,
839,
883,
929,
1006,
1021,
1043,
1065,
1087,
1109,
1223,
1234,
1245,
1267,
1289,
1335,
1346,
1357,
1379,
1401,
1447,
1491,
1502,
1513,
1537,
1559,
1603,
1627,
1649,
1671,
1682,
1693,
1728,
1739,
1750,
1761,
1783,
1805,
1829,
1851,
1873,
1895,
1906,
1917,
1941,
1952,
1985,
2077,
2099,
2213,
2257,
2279,
2336,
2347,
2391,
2437,
2459,
2481,
2503,
2527,
2549,
2571,
2593,
2615,
2617,
2661,
2683,
2705,
2729,
2773,
2819,
2841,
2863,
2885,
2931,
2953,
2997,
3008,
3023,
3067,
3089,
3269,
3313,
3337,
3359,
3392,
3403,
3449,
3493,
3517,
3539,
3583,
3673,
3695,
3719,
3763,
3785,
3807,
3853,
3875,
3919,
3943,
4057,
4079,
4259,
4327,
4349,
4415,
4417,
4483,
4529,
4595,
4617,
4663,
4685,
4753,
4819,
4909,
4933,
4955,
4999,
5113,
5227,
5293,
5383,
5429,
5519,
5563,
5618,
5653,
5743,
5888,
5923,
6011,
6037,
6059,
6217,
6272,
6329,
6373,
6553,
6619,
6709,
6733,
6823,
6845,
6911,
6979,
7001,
7027,
7229,
7442,
7699,
7723,
7789,
7857,
7879,
7901,
7936,
8039,
8219,
8263,
8353,
8375,
8419,
8443,
8599,
8623,
8689,
8779,
9029,
9319,
9343,
9433,
9477,
9521,
9679,
9769,
9791,
9826,
9859,
9949,
10043,
10109,
10111,
10133,
10144,
10155,
10177,
10199,
10223,
10245,
10256,
10267,
10289,
10311,
10313,
10346,
10357,
10379,
10401,
10447,
10469,
10502,
10513,
10515,
10537,
10559,
10581,
10592,
10603,
10627,
10649,
10671,
10693,
10715,
10717,
10739,
10750,
10783,
10805,
10816,
10851,
10862,
10873,
10895,
10919,
10941,
10952,
10963,
11123,
11145,
11167,
11178,
11189,
11200,
11213,
11246,
11257,
11279,
11301,
11314,
11347,
11369,
11391,
11402,
11415,
11437,
11459,
11481,
11503,
11527,
11549,
11582,
11593,
11617,
11683,
11705,
11729.
Some larger examples :
19999349,
19999360,
19999371,
19999393,
19999426,
19999437,
19999461,
19999505,
19999527,
19999549,
19999663,
19999729,
19999751,
19999775,
19999797,
19999841,
19999909,
19999942,
19999953,
19999999.