First numbers that belong to both sets:
1024,
1215,
4913,
10112,
10609,
11008,
12005,
13824,
14823,
15123,
15309,
15616,
18225,
19321,
20923,
21609,
22016,
24010,
25625,
28125,
30625,
33614,
35721,
36015,
43011,
44521,
45619,
45625,
50421,
50625,
53125,
57121,
60025,
63423,
65625,
69629,
74431,
78732,
80919,
81920,
84035,
90625,
91125,
102016,
102625,
102912,
104615,
106112,
106625,
107125,
108032,
108621,
111005,
111104,
112023,
112509,
113024,
113627,
113920,
115625,
116125,
116224,
117625,
118016,
118125,
119021,
119936,
120320,
120409,
120625,
121014,
121216,
122825,
123008,
124625,
124928,
125824,
127616,
128625,
129033,
130321,
130816,
131712,
131726,
132023,
132921,
133225,
133427,
135625,
137728,
140211,
140625,
141426,
141824,
143125,
143717,
144722,
148736,
149931,
150016,
153819,
155520,
155625,
156025,
156735,
157221,
157922,
158123,
160623,
160625,
164025,
165632,
165731,
170723,
171520,
172529,
175625,
178119,
178125,
178929,
179334,
180625,
181521,
183125,
192721,
193027,
195223,
195625,
195938,
196830,
198125,
199439,
202612,
205312,
205625,
209223,
210625,
212625,
213109,
213111,
214326,
214528,
220323,
225625,
226719,
226723,
228125,
229635,
231822,
232211,
233125,
233216,
233523,
234009,
236032,
237824,
238328,
240818,
246016,
248125,
248832,
249318,
250112,
250625,
253125,
254421,
261023,
265625,
268119,
270625,
271313,
273529,
274625,
278528,
281219,
282123,
283318,
285625,
288125,
290625,
292922,
293125,
293327,
294637,
295323,
295424,
296227,
300811,
302526,
303616,
309729,
315217,
315625,
318125,
318719,
320031,
324821,
327321,
329216,
332929,
338125,
338432,
340625,
347733,
348823,
351122,
355023,
355625,
360625,
363125,
363527,
365117,
366025,
368128,
368219,
371522,
372224,
372519,
373827,
375625,
376832,
378125,
380023,
383125,
385024,
389632,
390224,
393728,
408125,
408321,
413125,
428125,
435125,
436736,
448335,
453125,
465625,
465831,
466432,
470528,
472827,
473125,
483328,
487936,
489845,
490625,
492032,
493039,
493533,
500823,
503125,
505521,
506530,
511413,
515625,
518125,
518319,
535423,
535625,
538731,
540625,
541717,
544231,
545027,
551124,
552727,
559433,
560623,
561125,
566029,
566433,
569037,
573839,
578125,
580625,
581632,
583929,
591219,
595625,
601526.
Some larger examples :
99706451,
99720639,
99730337,
99749545,
99766352,
99786249,
99787343,
99799966,
99819061,
99840064,
99843750,
99848149,
99860049,
99882947,
99911837,
99937152,
99938555,
99968750,
99969957,
99980041.