First numbers that belong to both sets:
341,
561,
2701,
4369,
8321,
10585,
16705,
18705,
18721,
30121,
34945,
278545,
458989,
898705,
1018921,
1050985,
1052503,
1052929,
1092547,
1472505,
1678541,
1690501,
1830985,
1892185,
1896961,
3898129,
5258701,
5632705,
5872361,
7232321,
7656721,
7674967,
9056501,
9494101,
9638785,
9834781,
21414169,
21474181,
23634181,
25270105,
27032545,
27492581,
29214541,
29878381,
41298985,
45830161,
49430305,
69030901,
69414301,
69678307,
81612105,
85030921,
89816545,
101218921,
101232145,
129812761,
145856701,
165654721,
165892501,
167692141,
187050529,
307694323,
361430161,
361458505,
367632301,
385454161,
547652161,
561492181,
567094501,
581618143,
703638565,
741470549,
907670501,
967270129.