First numbers that belong to both sets:
1,
5,
22,
1001,
2882,
15251,
720027,
7081807,
7451547,
26811862,
54177145,
1050660501,
1085885801,
1528888251,
2911771192,
2376574756732,
5792526252975,
5875432345785,
10810300301801,
264571020175462.