First numbers that belong to both sets:
225,
38025,
314721,
622521,
751689,
3111696,
6002500,
7568001,
10323369,
61058596,
73513476,
74545956,
94517284,
105144516,
112572100,
112656996,
132756484,
136936804,
181980100,
202948516,
210308004,
211353444,
219573124,
222069604,
230614596,
238208356,
251983876,
256704484,
256832676,
296046436,
299636100,
325369444,
347225956,
351862564,
355624164,
1026753849,
1042385796,
1098524736,
1237069584,
1248703569,
1278563049,
1285437609,
1382054976,
1436789025,
1503267984,
1532487609,
1547320896,
1643897025,
1827049536,
1927385604,
1937408256,
2076351489,
2081549376,
2170348569,
2386517904,
2431870596,
2435718609,
2571098436,
2913408576,
3015986724,
3074258916,
3082914576,
3089247561,
3094251876,
3195867024,
3285697041,
3412078569,
3416987025,
3428570916,
3528716409,
3719048256,
3791480625,
3827401956,
3928657041,
3964087521,
3975428601,
3985270641,
4307821956,
4308215769,
4369871025,
4392508176,
4580176329,
4728350169,
4730825961,
4832057169,
5102673489,
5273809641,
5739426081,
5783146209,
5803697124,
5982403716,
6095237184,
6154873209,
6457890321,
6471398025,
6597013284,
6714983025,
7042398561,
7165283904,
7285134609,
7351862049,
7362154809,
7408561329,
7680594321,
7854036129,
7935068241,
7946831025,
7984316025,
8014367529,
8125940736,
8127563409,
8135679204,
8326197504,
8391476025,
8503421796,
8967143025,
9054283716,
9351276804,
9560732841,
9614783025,
9761835204,
9814072356.