First numbers that belong to both sets:
13,
57,
241,
273,
341,
400,
585,
781,
820,
1023,
1191,
1641,
4971,
5853,
6481,
8011,
8421,
9313,
9724,
10713,
14281,
15253,
16003,
17557,
23871,
28731,
34041,
41007,
41371,
41413,
42231,
44311,
46441,
60271,
62751,
81400,
83811,
87381,
101443,
102721,
108571,
113907,
119371,
131407,
132133,
135793,
143263,
160435,
181903,
189661,
204205,
205663,
207481,
247507,
253513,
254080,
286761,
291919,
327757,
333507,
370273,
386263,
393757,
410241,
437583,
457653,
468541,
471283,
478173,
489301,
509083,
517681,
535093,
543907,
561751,
589057,
618583,
632821,
656911,
663411,
666673,
708123,
771763,
803713,
821743,
836311,
936057,
943813,
961381,
971211,
1021111,
1029211,
1099353,
1126783,
1139557,
1169643,
1187011,
1269003,
1282557,
1360723,
1395943,
1400673,
1470157,
1487181,
1492063,
1501851,
1523991,
1727911,
1767571,
1783561,
1786324,
1813063,
1950213,
1968876,
1989511,
1992333,
2000719,
2016379,
2026353,
2057791,
2115571,
2130141,
2135983,
2163460,
2171203,
2197807,
2245503,
2263521,
2272557,
2314963,
2333257,
2391663,
2424195,
2441406,
2457057,
2510641,
2548813,
2564803,
2577631,
2619543,
2707671,
2834173,
2891701,
2963563,
2977351,
2994631,
3018907,
3060751,
3069796,
3138213,
3195157,
3223821,
3328801,
3461461,
3491293,
3495031,
3543807,
3642373,
3669141,
3692163,
3847483,
3898651,
3914463,
3918421,
4026043,
4078381,
4139191,
4167723,
4208653,
4216863,
4220971,
4277935,
4420507,
4543293,
4646181,
4693723,
4855540,
4908441,
4961757,
4985761,
5028807,
5205243,
5218941,
5324557,
5366173,
5595591,
5624013,
5638251,
5757601,
5917057,
5962684,
5970693,
6024571,
6202591,
6227521,
6232513,
6267513,
6352921,
6433833,
6454141,
6459223,
6561283,
6679641,
6767803,
6787180,
6809491,
6919531,
7041063,
7104891,
7131571,
7174453,
7271113,
7330557,
7368511,
7373941,
7390243,
7488433,
7548757,
7598293,
7792473,
7910157,
8051407,
8085493,
8102563,
8125351,
8176741,
8211091,
8285763,
8297281,
8326111,
8331883,
8383921,
8388607,
8406840,
8476833,
8541007,
8564403,
8658307,
8770483,
8835757,
8967031,
9003001,
9033031,
9135507,
9214261,
9220333,
9287257,
9342193,
9366661,
9452551,
9569743,
9644131,
9700111,
9843907,
9862741,
9894171.