First numbers that belong to both sets:
2,
3,
5,
11,
131,
191,
12821,
14741,
19391,
19991,
36563,
38183,
93239,
96269,
1028201,
1074701,
1150511,
1178711,
1243421,
1281821,
1317131,
1333331,
1407041,
1456541,
1508051,
1532351,
1557551,
1598951,
1600061,
1609061,
1628261,
1658561,
1660661,
1688861,
1734371,
1761671,
1802081,
1832381,
1879781,
1881881,
1884881,
1958591,
1982891,
3002003,
3158513,
3193913,
3283823,
3291923,
3305033,
3365633,
3417143,
3447443,
3466643,
3589853,
3591953,
3594953,
3717173,
3763673,
3864683,
3916193,
9049409,
9169619,
9174719,
9196919,
9280829,
9477749,
9526259,
9561659,
9602069,
9758579,
9788879,
9932399,
101343101,
101424101,
101919101,
101949101,
103363301,
104787401,
106222601,
106555601,
107232701,
107757701,
108767801,
109474901,
109777901,
110343011,
111020111,
114353411,
114848411,
114878411,
115111511,
115141511,
117101711,
117323711,
117686711,
118909811,
121555121,
122262221,
122535221,
122787221,
123575321,
123767321,
124000421,
124252421,
124333421,
124525421,
125232521,
125343521,
126101621,
128070821,
128646821,
128868821,
129080921,
130030031,
134979431,
135434531,
135515531,
136090631,
136222631,
136303631,
139222931,
139282931,
139606931,
140505041,
140898041,
141242141,
141494141,
142252241,
143181341,
143262341,
145666541,
147242741,
147434741,
148666841,
148969841,
150686051,
151888151,
153404351,
154030451,
154555451,
155313551,
156434651,
156707651,
157717751,
159404951,
161535161,
161838161,
165101561,
165878561,
167787761,
167898761,
169060961,
169555961,
170232071,
170484071,
170646071,
171575171,
172393271,
172474271,
172747271,
175555571,
177323771,
181666181,
181888181,
182373281,
182949281,
184303481,
186131681,
186656681,
187444781,
187525781,
187939781,
190777091,
190909091,
191292191,
191313191,
193303391,
194292491,
196000691,
197868791,
197898791,
197919791,
300080003,
300101003,
300656003,
300929003,
302646203,
303878303,
304282403,
304414403,
307171703,
307696703,
308454803,
309515903,
310282013,
312050213,
312929213,
314646413,
315656513,
315959513,
316696613,
317646713,
317808713,
318707813,
319393913,
319999913,
320292023,
320565023,
321848123,
322030223,
324353423,
325060523,
325363523,
325636523,
327050723,
327272723,
327353723,
328030823,
330212033,
330707033,
332424233,
332484233,
333080333,
333434333,
334282433,
334777433,
336272633,
336494633,
337939733,
338343833,
338787833,
338838833,
339080933,
339878933,
343696343,
344949443,
345191543,
345494543,
345656543,
345686543,
347010743,
348959843,
349444943,
349777943,
350454053,
350868053,
350979053,
351656153,
352141253,
352909253,
354050453,
354848453,
355585553,
355909553,
355939553,
356070653,
356373653,
358747853,
359121953,
359898953,
360575063,
360818063,
364636463,
366575663,
367141763,
368040863,
369686963,
370777073,
370858073,
371424173,
371595173,
374040473,
379525973,
380979083,
381464183,
381989183,
383121383,
383979383,
385606583,
388222883.
Some larger examples :
975818579,
977676779,
978353879,
979414979,
979939979,
983181389,
984515489,
985858589,
990707099,
991999199,
993737399,
995757599,
996020699,
996101699,
996242699,
996626699,
997030799,
997474799,
997909799,
999212999.