First numbers that belong to both sets:
14,
122,
183,
298,
305,
323,
427,
497,
1822,
2602,
2733,
2998,
3379,
3903,
4555,
4997,
6178,
6377,
6505,
9107,
9267,
14311,
14999,
15445,
16913,
18322,
19999,
20987,
21623,
22117,
24719,
27483,
29107,
29923,
32498,
33979,
37729,
40331,
45805,
48137,
53341,
55943,
61147,
68953,
76759,
79361,
87089,
87167,
88945,
91661,
92371,
94973,
102779,
107983,
115789,
126197,
130901,
143911,
149999,
309089,
324998,
339979,
493195,
499997,
1499999,
2099987,
2912482,
3192026,
4788039,
4999997,
7980065,
11172091,
13090901,
14999999,
17225602,
17556143,
20748169,
20999987,
25838403,
27132221,
30324247,
33999979,
36708299,
43781294,
46284377,
49349695,
49476403,
49999997,
59052481,
61818178,
65436533,
65671941,
68628559,
75012611,
84588689,
86132801,
92727267,
94164767,
97356793.