First numbers that belong to both sets:
511,
629,
1011,
1101,
1141,
1387,
1417,
1651,
1679,
3097,
4577,
5833,
6443,
7501,
10109,
10213,
10279,
12563,
13117,
14383,
15409,
15623,
17777,
17887,
18653,
20137,
20197,
22249,
22711,
22793,
24449,
24643,
26221,
26933,
31483,
32071,
33007,
33241,
34901,
35513,
37043,
39007,
41059,
45163,
45611,
50293,
51661,
53843,
54301,
54671,
55003,
55403,
55423,
56107,
56321,
56741,
58811,
60881,
60911,
62441,
62669,
66113,
68333,
68933,
70813,
72587,
75197,
76211,
77593,
79267,
85721,
89291,
90101,
94411,
94891,
95449,
96121,
98239,
100633,
100691,
101593,
102271,
104143,
105593,
107407,
108121,
108341,
109117,
109399,
109801,
109957,
111169,
112333,
113459,
113503,
113873,
114287,
114461,
114979,
115529,
116771,
118133,
118841,
121193,
122699,
123029,
123139,
125203,
125533,
128363,
128929,
129487,
130117,
130373,
130847,
131291,
132917,
134083,
134573,
135451,
136201,
137503,
137899,
138973,
140783,
140923,
141001,
143267,
143531,
143579,
143681,
145751,
146053,
147421,
147821,
148277,
148459,
149063,
149843,
151181,
152113,
154597,
157343,
157387,
161849,
163111,
163421,
164033,
164981,
165757,
166451,
168011,
168107,
168547,
169867,
170153,
171767,
172661,
173413,
174131,
175943,
176801,
177509,
177899,
178043,
180941,
182729,
183331,
183773,
184817,
186323,
189751,
190049,
193099,
193169,
193657,
193691,
196447,
197011,
200089,
200221,
201059,
201103,
202469,
202883,
203851,
204119,
206401,
207271,
209507,
209921,
220267,
221011,
221561,
221611,
222319,
225121,
225653,
226067,
226579,
227723,
229927,
240533,
240557,
240971,
243877,
247783,
249101,
249251,
262333,
263701,
263741,
267871,
269123,
282379,
282511,
286607,
287129,
289633,
300013,
300637,
300703,
301733,
303043,
304727,
306109,
308453,
310913,
311219,
311923,
313361,
315211,
315839,
318421,
321061,
321623,
322541,
323209,
323551,
325603,
327577,
329809,
330001,
330391,
331123,
331417,
331637,
332027,
332443,
332599,
333251,
333811,
335521,
335947,
336197,
337699,
339851,
340309,
341207,
341513,
341573,
342121,
342983,
343229,
344413,
345713,
345991,
346123,
346637,
347689,
349201,
350227,
350311,
352223,
352337,
355477,
356593,
359383,
362011,
362321.
Some larger examples :
99923443,
99928949,
99932621,
99934643,
99935369,
99939569,
99942019,
99942257,
99944909,
99951587,
99952081,
99957589,
99959747,
99962141,
99962143,
99962561,
99975251,
99975437,
99985931,
99992171.