First numbers that belong to both sets:
259,
4187,
10001,
11111,
12403,
14701,
15211,
15841,
27613,
45527,
54913,
67861,
100001,
102173,
115627,
118301,
118957,
128713,
131821,
134821,
134863,
137149,
138481,
139231,
145181,
148417,
158497,
164761,
166499,
188191,
188269,
188501,
201917,
216001,
226273,
229633,
231337,
250717,
269011,
274231,
281821,
286903,
287809,
302177,
364277,
366337,
372731,
385003,
491063,
497503,
505363,
588193,
603961,
1004329,
1039849,
1041043,
1042417,
1056331,
1069993,
1080697,
1081649,
1096681,
1111111,
1128871,
1146401,
1163801,
1167607,
1168513,
1169101,
1182721,
1193221,
1251949,
1267801,
1306369,
1394171,
1398101,
1446661,
1450483,
1461241,
1463749,
1492663,
1531711,
1551941,
1590751,
1705621,
1711381,
1711601,
1748921,
1756351,
1792081,
1803413,
1809697,
1810513,
1846681,
1863907,
1869211,
1876393,
1918201,
1926761,
1942957,
1945423,
1953671,
2030341,
2044657,
2190931,
2203321,
2205967,
2237017,
2290289,
2314201,
2337301,
2358533,
2386141,
2424731,
2463661,
2508013,
2524801,
2539183,
2658433,
2795519,
2976487,
3167539,
3362083,
3398921,
3506221,
3520609,
3596633,
3658177,
3678401,
3815011,
3850771,
3862207,
3879089,
3930697,
4064677,
4099439,
4119301,
4363661,
4469551,
5160013,
5256091,
5276993,
5308181,
5495023,
5502061,
5950501,
6539821,
6541657,
6544561,
7200793,
7683397,
8622049,
10006501,
10024561,
10266001,
10267951,
10276297,
10402237,
10403641,
10505701,
10654177,
10845293,
10923709,
11060057,
11130241,
11169797,
11182421,
11194877,
11322671,
11381371,
11415301,
11612371,
11630449,
11644333,
11691211,
11804497,
11811907,
11812609,
11925101,
11972017,
12169711,
12193631,
12322133,
12345679,
12555619,
12711007,
12712369,
12718081,
12755161,
12890503,
13072879,
13079221,
13131721,
13322261,
13341841,
13357433,
13562489,
13710223,
13747361,
13773061,
13809217,
13835053,
13909559,
13970521,
14005441,
14026897,
14129021,
14469841,
14555221,
14632537,
14652991,
14676481,
14709241,
14717341,
14783203,
14892541,
15019913,
15358033,
15374209,
15406289,
15444917,
15771751,
15829633,
15894121,
16042027,
16335001,
16493777,
16520533,
16585099,
16621697,
16651093,
16945633,
17099629,
17191081,
17349307,
17471147,
17737381,
17831701,
17970613,
18158251,
18225703,
18301709,
18342241,
18535177,
18585431,
18684541,
18736381,
18792523,
18809911,
19220587,
19384289,
19460821,
19465909,
19473001,
19582837,
19609633,
19617529,
19645651,
19766713,
19965037.