First numbers that belong to both sets:
7777,
11111,
130351,
340561,
1004329,
1111111,
13131313,
29292929,
37373737,
53535353,
61616161,
79341991,
101010101,
269708401,
281194733,
353586961,
463320859,
474782113,
1001001001,
1009699237,
1111111111,
1193528413,
1891663741.