First numbers that belong to both sets:
7,
13,
15,
21,
31,
43,
63,
73,
111,
127,
133,
211,
241,
259,
273,
307,
421,
463,
511,
553,
601,
651,
781,
931,
993,
1023,
1057,
1093,
1123,
1261,
1365,
1641,
1723,
1893,
2163,
2257,
2653,
2971,
3307,
3661,
4033,
4095,
4161,
5551,
5701,
6163,
6175,
7311,
7833,
8191,
8421,
8931,
9121,
9331,
9703,
9841,
10507,
10921,
11343,
11991,
14281,
14521,
15007,
16003,
16771,
18279,
18633,
20307,
21757,
22651,
22953,
23563,
24181,
25441,
26733,
27061,
28393,
29413,
29757,
30103,
31863,
33673,
36673,
38221,
39007,
39801,
40201,
40603,
42231,
42643,
43891,
44311,
47743,
47989,
49507,
51303,
52671,
53593,
54991,
57361,
57841,
58323,
60763,
61257,
65281,
65793,
66823,
67861,
71557,
74257,
75895,
75901,
80941,
81511,
83233,
90301,
92113,
95791,
96411,
98283,
99541,
101443,
102721,
103363,
104653,
111111,
115261,
115941,
116623,
120063,
122851,
124257,
124963,
125671,
127807,
128523,
130683,
131071,
138013,
138757,
139503,
141753,
142507,
144781,
150933,
155631,
161203,
162813,
168511,
172641,
180201,
188791,
194041,
200257,
202051,
204757,
208393,
215761,
219661,
224203,
227053,
228007,
230881,
231843,
238633,
247507,
248503,
250501,
251503,
253513,
255531,
258573,
260611,
265741,
266305,
266773,
271453,
278257,
282493,
284623,
287833,
293223,
296481,
298663,
301951,
304153,
308581,
316407,
317533,
318661,
319791,
325471,
327757,
335821,
335923,
338143,
339307,
345157,
347971,
351057,
352243,
357007,
364213,
367843,
370273,
372711,
376383,
378505,
388753,
391251,
398793,
402591,
407683,
410775,
424453,
427063,
437583,
438907,
446893,
448231,
450913,
452257,
463081,
464443,
468541,
474033,
476791,
478173,
480943,
483721,
494913,
507657,
510511,
511941,
524287,
526351,
530713,
532171,
536557,
539491,
542433,
552793,
555771,
561751,
566257,
575323,
590593,
593671,
595213,
597871,
606063,
607621,
612307,
613873,
618583,
620157,
626473,
631231,
632821,
636007,
637603,
644007,
663411,
665041,
669943,
673221,
674863,
678153,
679801,
688071,
689305,
699733,
704761,
709807,
711493,
719953,
737023,
742183,
749091,
757771.
Some larger examples :
9650343,
9656557,
9687657,
9700111,
9712573,
9731281,
9750007,
9756253,
9768751,
9787513,
9793771,
9818823,
9831361,
9843907,
9881593,
9894171,
9900463,
9938257,
9957181,
9976123.