First numbers that belong to both sets:
1568,
2835,
5832,
12985,
15625,
224256,
256973,
285359,
316285,
392533,
563125,
1236775,
1456611,
1569911,
1584117,
2155167,
2253931,
2485323,
3715127,
5397437,
11169865,
11182752,
11225871,
11528125,
11588461,
11745245,
11927513,
12193568,
13142275,
13615741,
14746583,
15125299,
15226496,
15548279,
17312534,
17544114,
18552839.