First numbers that belong to both sets:
15,
133,
259,
511,
679,
1141,
1261,
1285,
1351,
1387,
1843,
1891,
2047,
2701,
3031,
3409,
3589,
4039,
5383,
7081,
10213,
10291,
10573,
10585,
10963,
11041,
11155,
11899,
12403,
12901,
13021,
13333,
13747,
14089,
14491,
14611,
14701,
15211,
15811,
15841,
16021,
16297,
16441,
16531,
16771,
18019,
18151,
18631,
18721,
18907,
19345,
19951,
20419,
21349,
23281,
24199,
24727,
25123,
25141,
26281,
26599,
27223,
28453,
28939,
31171,
31417,
31609,
32551,
33001,
34861,
35551,
35881,
36661,
37969,
42001,
42121,
43165,
45811,
47239,
48709,
49471,
49567,
49771,
54811,
55969,
56137,
74023,
74593,
100651,
101311,
102277,
104653,
106141,
106507,
107929,
108781,
109861,
110677,
111361,
111841,
112141,
112147,
113401,
113821,
115231,
115627,
119461,
120171,
122461,
122479,
123151,
124645,
125347,
125401,
125563,
125581,
125809,
126133,
127723,
127909,
129031,
130381,
131047,
131821,
133141,
134539,
135931,
137149,
137311,
137971,
138481,
139231,
141523,
141571,
143893,
144673,
144841,
145351,
145993,
146611,
146791,
147109,
147967,
148417,
148831,
149443,
150691,
151747,
156877,
159259,
160291,
160891,
162871,
163885,
164041,
164761,
171205,
176437,
180991,
182527,
183061,
184255,
184891,
188191,
189289,
195451,
196611,
196981,
198535,
198871,
199171,
200911,
203521,
208999,
210871,
212323,
212941,
216457,
218791,
219511,
219781,
221263,
226801,
227767,
229633,
237007,
238111,
247105,
247111,
248857,
249841,
250717,
251131,
251521,
252361,
255067,
255109,
257041,
261997,
265651,
267871,
269011,
275569,
276451,
279031,
280999,
282133,
282949,
283531,
283897,
286903,
288619,
291919,
292861,
293281,
294007,
294847,
296521,
297571,
297631,
301351,
303451,
307111,
313243,
318151,
320503,
325141,
327685,
328021,
330673,
332977,
334657,
335329,
344191,
354019,
358249,
364231,
367423,
374503,
375871,
377233,
383761,
385003,
391783,
392959,
394447,
395341,
406291,
414421,
424579,
425257,
431941,
438751,
443713,
451351,
468541,
469609,
477643,
487411,
494161,
497071,
497503,
509461,
522151,
527101,
549061,
556711,
563347,
583771,
585661,
591631,
592981,
594259,
609061,
655051,
668431,
721033,
1002901,
1003213,
1004251.
Some larger examples :
19630333,
19643911,
19670281,
19675573,
19678099,
19691911,
19703503,
19719991,
19737031,
19756171,
19766041,
19795411,
19804261,
19815331,
19817071,
19833601,
19880071,
19892671,
19900453,
19981237.