First numbers that belong to both sets:
110808,
149389,
195841,
216027,
262656,
525824,
593047,
842751,
886464,
1061424,
1073375,
1075032,
1260441,
2101248,
3587409,
4110848,
4206592,
5446359,
6434883,
8491392,
8600256,
10589696,
10870119,
10962432,
11097567,
11261376,
11985003,
12533824,
13484016,
13489875,
13490533,
13825728,
13851000,
14197248,
14916727,
15077907,
16012269,
18673625.