First numbers that belong to both sets:
1701,
133407,
469567,
1047040,
1221577,
1443001,
2123577,
10766601,
11568501,
11759755,
11869747,
12997827,
13669657,
15691501,
18090135,
19125315,
23052001,
39053125,
53600701,
61046875,
76514382,
101631601,
101712267,
104147127,
105868665,
107479872,
111751326,
113576977,
116753427,
124930917,
126545625,
129988501,
139836537,
144702855,
148285417,
148724122,
151911787,
156231250,
172167201,
180774747,
188162947,
189812617,
203954101,
207511227,
212554530,
223360497,
256680451,
268345351,
268410880,
269066610,
354088897,
392089501,
431694117,
478264095,
576444085,
592107055,
640760625,
688708170,
708052185,
871740387,
937415997,
976515625.