First numbers that belong to both sets:
341,
561,
645,
2465,
8481,
12801,
35333,
55245,
60701,
72885,
83333,
212421,
264773,
289941,
348161,
357761,
427233,
556169,
587861,
617093,
653333,
722261,
1073021,
1398101,
1534541,
1608465,
2142141,
2162721,
2288661,
2746589,
2882265,
5545145,
6212361,
6242685,
7462001,
7693401,
7820201,
9480461,
9692453,
9816465,
10251473,
10331141,
13823601,
14556081,
14870801,
16070429,
16263105,
16717061,
17698241,
18137505,
19092921,
22137809,
22849481,
25846913,
27128201,
27492581,
28175001,
38971661,
41067665,
41424801,
43363601,
44482901,
52018341,
52452905,
57130161,
64605041,
68958681,
74874869,
77082545,
81612105,
81722145,
82416101,
83083001,
87571121,
88661861,
89784581,
97655933,
110671341,
115196033,
121017261,
125686241,
128396921,
131922701,
135969401,
137009181,
137415821,
147028001,
151530401,
151833561,
153928133,
156858801,
161216021,
165163265,
166082309,
166406561,
169004921,
174352641,
176609441,
181285001.