First numbers that belong to both sets:
1,
2,
3,
5,
7,
43,
89,
135,
175,
224,
267,
283,
371,
373,
375,
379,
445,
463,
739,
1073,
1234,
1255,
1306,
1323,
1349,
1765,
2063,
2083,
2131,
2133,
2135,
2137,
2179,
2203,
2225,
2240,
2241,
2243,
2245,
2263,
2283,
2315,
2333,
2335,
2336,
2395,
2407,
2423,
2427,
2443,
2449,
2517,
2537,
2577,
2597,
2623,
2627,
2645,
2733,
2735,
2738,
2753,
2757,
2773,
2803,
2843,
2863,
2933,
2939,
2953,
2973,
3167,
3215,
3235,
3257,
3295,
3362,
3385,
3437,
3457,
3527,
3569,
3635,
3941,
3943,
3947,
4133,
4151,
4153,
4157,
4159,
4241,
4243,
4249,
4261,
4265,
4285,
4288,
4339,
4352,
4373,
4397,
4405,
4447,
4649,
4685,
4733,
4735,
4736,
4933,
4951,
4955,
4957,
5323,
5327,
5547,
5632,
5653,
5657,
5832,
5873,
6247,
6793,
6937,
7639,
8209,
8243,
8263,
8443,
8623,
8647,
8971,
8978,
9697,
9947,
9963,
10693,
10694,
10723,
12343,
12345,
12347,
12367,
12434,
12542,
12615,
12634,
12695,
12723,
12854,
13133,
13173,
13337,
13373,
13393,
13443,
13933,
14295,
14363,
14369,
14786,
15423,
16213,
16234,
16293,
16363,
16431,
16433,
16437,
16438,
16439,
16453,
16474,
16475,
16477,
16543,
16634,
16729,
16743,
16927,
17026,
17133,
17241,
17243,
17245,
17246,
17247,
17249,
17287,
17338,
17378,
17443,
17463,
17483,
17737,
17843,
17845,
17846,
17847,
18347,
18522,
18617,
18697,
18946,
19243,
19733,
19773,
20203,
20243,
20263,
20352,
20377,
20483,
20827,
20887,
20973,
21323,
21349,
21497,
21785,
22025,
22247,
22267,
22283,
22285,
22315,
22333,
22337,
22375,
22393,
22447,
22463,
22465,
22467,
22489,
22535,
22537,
22573,
22595,
22597,
22643,
22735,
22753,
22773,
22823,
22883,
22951,
22955,
22973,
23053,
23215,
23297,
23327,
23347,
23365,
23417,
23473,
23497,
23523,
23527,
23549,
23563,
23637,
23657,
23679,
23723,
23743,
23744,
23747,
23853,
23857,
23875,
23945,
23949,
23963,
24043,
24137,
24229,
24337,
24352.
Some larger examples :
9965743,
9967439,
9972233,
9972343,
9972439,
9972569,
9972583,
9972964,
9974383,
9974431,
9975424,
9975643,
9977593,
9978833,
9979337,
9979643,
9983527,
9984827,
9993623,
9997263.