First numbers that belong to both sets:
1,
10,
325,
496,
703,
2701,
5050,
10585,
14365,
18145,
18721,
29890,
38503,
47278,
74305,
85078,
107416,
123256,
149878,
210925,
232903,
258121,
349030,
414505,
527878,
549676,
634501,
725410,
810901,
941878,
1038961,
1256905,
1454365,
1474903,
2189278,
2323090,
2527876,
3616705,
3812941,
4343878,
4549636,
4769416,
5812345,
6123250,
6367096,
6725278,
7014385,
9016381,
9850141,
10321696,
12723490,
18189496,
21238903,
21454525,
21474181,
23218705,
25052581,
25650703,
29872585,
36129250,
36743878,
43454503,
50125078,
50969656,
63636121,
69696721,
74963890,
83030941,
87456925,
89652745,
89692921,
96945850,
98329276,
105436981,
107890705,
125476561,
147258541,
147670705,
167252905,
167692141,
169896961,
183830725,
216143236,
236563876,
258383278,
270525430,
276701050,
276983416,
278185078,
323634961,
347490703,
349470703,
434785816,
450945496,
458181856,
474581836,
496361278,
501858721,
583230781,
674785216,
725290741,
745076503,
783070525,
785090125,
789852385,
832503610,
874769878,
905272525,
927878581,
969694741.