First numbers that belong to both sets:
5,
53,
97,
569,
727,
929,
1087,
2683,
3449,
6037,
6823,
8039,
8219,
8623,
8689,
9319,
10133,
14293,
14519,
15217,
16811,
16879,
19421,
19961,
21313,
22619,
25117,
27611,
30089,
31147,
33329,
35801,
36433,
36523,
40483,
40819,
41113,
46399,
47119,
48311,
50833,
51193,
51329,
51419,
54319,
55579,
64601,
64849,
64871,
66491,
66851,
67033,
67121,
70117,
73939,
74143,
75133,
77471,
80599,
86111,
91939,
92143,
93851,
98867,
100267,
100357,
106273,
107599,
108791,
108881,
110527,
111427,
112909,
120539,
127579,
128321,
128389,
132619,
136333,
139301,
143443,
148123,
156671,
156941,
157007,
159617,
162523,
165311,
166841,
168887,
168977,
175211,
175391,
176201,
177887,
181871,
189139,
195731,
197059,
201449,
206779,
207433,
229123,
236681,
237851,
241229,
243073,
244243,
246469,
253243,
253423,
253601,
254927,
261971,
264739,
274661,
275897,
279407,
288049,
295831,
299881,
302563,
303283,
313543,
317321,
317591,
327401,
333253,
336491,
340519,
345379,
350711,
357551,
360769,
362927,
362951,
369947,
370399,
371233,
371927,
374987,
382549,
387677,
388891,
407119,
417491,
422689,
429101,
431801,
449149,
462401,
462491,
467081,
467417,
486023,
492617,
512419,
535099,
535481,
540119,
547361,
555931,
556021,
556159,
567631,
567857,
568891,
578297,
580549,
598613,
600217,
600283,
600823,
606829,
607931,
608269,
611801,
629687,
633739,
644089,
652189,
663529,
678533,
683687,
686723,
691631,
701219,
703849,
707627,
719149,
723043,
744371,
745517,
745697,
747811,
751123,
757151,
757241,
759287,
763339,
775937,
776117,
776813,
776837,
786691,
786803,
787973,
790271,
792023,
793487,
803389,
819229,
819251,
819407,
819431,
822221,
837923,
846341,
846721,
860291,
875297,
877771,
877837,
885713,
904661,
906259,
916831,
931727,
939737,
949951,
956903,
957937,
960931,
960977,
961427,
980417,
985277,
985433,
996841,
996953,
997019,
1000829,
1005217,
1005911,
1055771,
1055839,
1062343,
1074223,
1092827,
1099487,
1102147,
1128223,
1146671,
1159787,
1159967,
1160129,
1173917,
1174211,
1175561,
1177427,
1179251,
1234511,
1238381,
1243309,
1243939,
1245379,
1253951,
1262411,
1279013,
1281649,
1284169,
1285021,
1294967,
1298611,
1308491,
1309549,
1309661,
1316209,
1316479,
1316591.
Some larger examples :
199023211,
199026181,
199216643,
199216889,
199216933,
199224607,
199224629,
199224787,
199227443,
199237993,
199242047,
199245239,
199737673,
199737763,
199738057,
199750253,
199764067,
199880929,
199880953,
199883539.