First numbers that belong to both sets:
1,
64,
512,
1728,
35937,
50653,
195112,
287496,
300763,
314432,
681472,
804357,
884736,
1000000,
2248091,
2744000,
3241792,
4173281,
4913000,
5929741,
6434856,
6859000,
10077696,
10360232,
12167000,
13481272,
15813251,
18399744,
19902511,
22188041,
27270901,
29791000,
36264691,
37933056,
47045881,
58411072,
58863869,
62099136,
70957944,
73034632,
74618461,
79507000,
91733851,
97336000,
103823000,
109215352,
114791256,
117649000,
133432831,
141420761,
156590819,
158340421,
162771336,
166375000,
170953875,
183250432,
184220009,
191102976,
217081801,
226981000,
248858189,
251239591,
268336125,
302111711,
307546875,
314432000,
337153536,
363994344,
370146232,
371694959,
374805361,
389017000,
397065375,
405224000,
423564751,
432081216,
440711081,
463684824,
472729139,
493039000,
502459875,
529475129,
533411731,
551368000,
561515625,
596947688,
644972544,
656234909,
672221376,
681472000,
693154125,
726572699,
731432701,
753571000,
766060875,
796597983,
820025856,
830584000,
881974079,
912673000,
952763904,
967361669,
973242271.