First numbers that belong to both sets:
91,
259,
451,
481,
1729,
2821,
2981,
3367,
4141,
5461,
6541,
6601,
7471,
7777,
8401,
11111,
12403,
13981,
14701,
15841,
19201,
21931,
27613,
29341,
34133,
38503,
41041,
46657,
48433,
50881,
52633,
54913,
63973,
65311,
66991,
68101,
75361,
79003,
83119,
94139,
95161,
97273,
100001,
101491,
113201,
118957,
126217,
128713,
130351,
137137,
137149,
138481,
139231,
148417,
152551,
162401,
179881,
188191,
188269,
216001,
216931,
226273,
229633,
234421,
237169,
247753,
248677,
269011,
274231,
286903,
294409,
298033,
301081,
346801,
351809,
357641,
372731,
385003,
390313,
399001,
401401,
410041,
413339,
420343,
451091,
455971,
458641,
463489,
481601,
489997,
497377,
505363,
509971,
511969,
520801,
522349,
530881,
552721,
567721,
586993,
597871,
603961,
632641,
642001,
658801,
670033,
679861,
710533,
748657,
749521,
764491,
827281,
841633,
847693,
852841,
868001,
880237,
903169,
909709,
924001,
929633,
974611,
997633,
997981,
999001,
1004329,
1005697,
1024651,
1038331,
1039849,
1042417,
1056331,
1069993,
1082809,
1128871,
1182721,
1242241,
1242571,
1251949,
1272271,
1275347,
1279201,
1287937,
1294411,
1306369,
1308853,
1362061,
1376299,
1394171,
1398101,
1408849,
1450483,
1461241,
1462441,
1463749,
1492663,
1569457,
1576381,
1602601,
1615681,
1705621,
1708993,
1719601,
1731241,
1739089,
1772611,
1809697,
1810513,
1826209,
1846681,
1863907,
1869211,
1884961,
1887271,
1892143,
1907851,
1922801,
1942957,
1943341,
1945423,
1991821,
2024641,
2030341,
2044657,
2056681,
2063971,
2113921,
2161501,
2165801,
2171197,
2184931,
2190931,
2215291,
2278001,
2290289,
2299081,
2314201,
2371681,
2386141,
2406401,
2424731,
2432161,
2433601,
2463661,
2503501,
2508013,
2512441,
2525909,
2539183,
2553061,
2563903,
2694601,
2704801,
2879317,
2887837,
2899351,
2949991,
2960497,
2987167,
3005737,
3076481,
3084577,
3146221,
3186821,
3225601,
3270403,
3362083,
3367441,
3367771,
3369421,
3387781,
3488041,
3506221,
3520609,
3537667,
3581761,
3677741,
3678401,
3781141,
3788851,
3817681,
3862207,
3879089,
3898129,
3985921,
4005001,
4010401,
4014241,
4040281,
4064677,
4077151,
4099439,
4119301,
4181921,
4182739,
4209661,
4225057,
4234021,
4255903,
4316089,
4326301,
4363261,
4373461,
4454281,
4469551,
4499701,
4504501,
4543621,
4627441,
4630141,
4637617,
4767841,
4784689,
4863127,
4903921,
4909913,
4917781,
5045401,
5056051,
5148001.
Some larger examples :
987446801,
987517441,
987842101,
988109881,
988686761,
988921333,
990061957,
990810457,
990893569,
990984193,
991335451,
993420289,
994517533,
994885141,
996196741,
998489017,
998596741,
999008473,
999391051,
999670027.