First numbers that belong to both sets:
91,
259,
451,
481,
1729,
2821,
2981,
3367,
4141,
5461,
6541,
6601,
7777,
8401,
12403,
19201,
27613,
34133,
41041,
46657,
50881,
54913,
63973,
65311,
68101,
75361,
94139,
95161,
97273,
100001,
128713,
130351,
137149,
139231,
148417,
152551,
179881,
188191,
188269,
216931,
226273,
229633,
234421,
237169,
247753,
248677,
274231,
298033,
301081,
390313,
401401,
413339,
420343,
455971,
458641,
463489,
489997,
497377,
505363,
511969,
520801,
522349,
530881,
586993,
597871,
603961,
642001,
679861,
710533,
748657,
749521,
764491,
827281,
841633,
847693,
868001,
880237,
903169,
909709,
929633,
974611,
997981,
999001,
1004329,
1024651,
1038331,
1128871,
1182721,
1242571,
1251949,
1272271,
1275347,
1306369,
1308853,
1376299,
1394171,
1398101,
1408849,
1450483,
1461241,
1463749,
1492663,
1569457,
1576381,
1719601,
1731241,
1809697,
1826209,
1846681,
1863907,
1869211,
1887271,
1907851,
1922801,
1942957,
1943341,
1991821,
2024641,
2030341,
2044657,
2056681,
2113921,
2161501,
2165801,
2184931,
2190931,
2215291,
2290289,
2314201,
2371681,
2386141,
2406401,
2433601,
2463661,
2503501,
2508013,
2512441,
2525909,
2553061,
2694601,
2899351,
2949991,
2960497,
2987167,
3005737,
3076481,
3186821,
3225601,
3270403,
3362083,
3367771,
3369421,
3387781,
3488041,
3520609,
3537667,
3581761,
3677741,
3678401,
3781141,
3788851,
3862207,
3879089,
3898129,
4005001,
4010401,
4040281,
4064677,
4119301,
4209661,
4225057,
4255903,
4316089,
4363261,
4373461,
4454281,
4469551,
4499701,
4504501,
4627441,
4630141,
4637617,
4767841,
4784689,
4863127,
4903921,
4909913,
5045401,
5056051,
5148001,
5160013,
5180593,
5203471,
5256091,
5276993,
5294521,
5308181,
5406787,
5479201,
5623409,
5690251,
5824711,
5887189,
5934391,
5950501,
5956741,
5968873,
6096181,
6157601,
6167161,
6186403,
6339673,
6544561,
6577081,
6733693,
6761041,
6840001,
6868261,
6934951,
7200793,
7207057,
7207201,
7262413,
7406311,
7428421,
7455481,
7519441,
7624501,
7648033,
7678501,
7683397,
7756201,
7758601,
7765759,
7968511,
8021287,
8024581,
8036033,
8070217,
8134561,
8581801,
8677691,
8719309,
8772121,
8829451,
8830801,
8835301,
8902321,
8908609,
8927101,
8941529,
9069229,
9450241,
9493903,
9651851,
9756839,
9776701,
9890881.