First numbers that belong to both sets:
3,
5,
7,
43,
283,
463,
2083,
2131,
2803,
3167,
3257,
3527,
4157,
4159,
4241,
4243,
4261,
4339,
4649,
4933,
5653,
5657,
6793,
8971,
13337,
13933,
16363,
16453,
22573,
23563,
23743,
24373,
24977,
26249,
26713,
27479,
27527,
27749,
32297,
32831,
32833,
32941,
32969,
33829,
34367,
35081,
35083,
35447,
36343,
39373,
39827,
42407,
46771,
47699,
52709,
59357,
59443,
64663,
65839,
66359,
68449,
75991,
76079,
76369,
78541,
79843,
83341,
86353,
87253,
92383,
93283,
93559,
94529,
94543,
98389,
98729,
98897,
98899,
106219,
117673,
117701,
117703,
122323,
124769,
126493,
132049,
133277,
133279,
137341,
138799,
139367,
139459,
142697,
142787,
145931,
145933,
150223,
157273,
164837,
167267,
167779,
173743,
176713,
177763,
177839,
192317,
192319,
197383,
197569,
215353,
222977,
222979,
223439,
225347,
225583,
226379,
227653,
229637,
234529,
235663,
236477,
236479,
236879,
236893,
236983,
237973,
238729,
239429,
242731,
243431,
243433,
244379,
244667,
245473,
249437,
249439,
249497,
249499,
249859,
254927,
256033,
257713,
257863,
258329,
259379,
262351,
262513,
262649,
262739,
263491,
263521,
264791,
264793,
264827,
264829,
265271,
265273,
265543,
265871,
265873,
266447,
266449,
266489,
267299,
268759,
268843,
269389,
273269,
273283,
273643,
274453,
279481,
281651,
281653,
283637,
283639,
284267,
284591,
284593,
284731,
285611,
285613,
285631,
285839,
286591,
286753,
288359,
288647,
288649,
293263,
308293,
309269,
316243,
321467,
321469,
322589,
323249,
323443,
324437,
324439,
324451,
324617,
324619,
326143,
326147,
326611,
326657,
327557,
327559,
327827,
327829,
327869,
328637,
328639,
329627,
329629,
334333,
334423,
334427,
336827,
337543,
338267,
343559,
343799,
344293,
345599,
345601,
346963,
354371,
354373,
354463,
354553,
354883,
356263,
357347,
358667,
358669,
362293,
362743,
363373,
364291,
365249,
365641,
366343,
366853,
373231,
376933,
382729,
385663,
413867,
422759,
423257,
426739,
426971,
426973,
427967,
427969,
428249,
433469,
439427,
439429,
440443,
442397,
443563,
444463,
445633,
445967,
456769,
459647,
464173,
472543,
475333,
486223,
486379,
492253,
497773,
514247,
522059,
522523,
522679.
Some larger examples :
9785297,
9795209,
9807449,
9825553,
9828239,
9828619,
9832351,
9834827,
9842563,
9854627,
9856577,
9857459,
9864763,
9867283,
9884507,
9891253,
9891853,
9896443,
9965729,
9972583.