First numbers that belong to both sets:
5,
9,
25,
49,
224257,
461825,
1173505,
2392065,
264060929,
430014465,
797278209,
1595801601,
11340087297,
49834622977,
89190825985,
262897926145,
345640009729,
426279698433,
582578339841,
841471754241,
886625533953,
983483547649.