First numbers that belong to both sets:
1729,
2821,
3367,
6601,
7777,
8911,
13981,
14911,
15211,
15841,
19201,
21931,
22321,
24013,
24661,
29341,
34133,
34441,
35113,
46657,
50881,
52633,
68101,
95161,
97273,
97681,
101491,
108691,
113201,
115921,
122221,
130351,
137149,
138481,
139231,
147001,
162401,
164761,
170017,
179881,
196651,
234421,
247753,
252601,
269569,
294409,
298033,
301081,
304057,
314821,
334153,
399001,
410041,
458641,
463489,
488881,
492101,
511969,
512461,
530881,
532171,
589537,
665401,
749521,
827281,
841633,
880237,
974611,
997981,
1024651,
1039441,
1090051,
1141141,
1152271,
1167607,
1182721,
1193221,
1268551,
1294411,
1298737,
1362061,
1398101,
1419607,
1446241,
1461241,
1462441,
1463749,
1576381,
1583821,
1615681,
1703221,
1731241,
1758121,
1772611,
1846681,
1850017,
1857241,
1884961,
1887271,
1892143,
1894651,
1907851,
1909001,
1943341,
2024641,
2044657,
2056681,
2085301,
2146957,
2165801,
2171401,
2194973,
2278001,
2290289,
2299081,
2305633,
2371681,
2406401,
2432161,
2508013,
2512441,
2525909,
2553061,
2603381,
2630071,
2694601,
2699431,
2765713,
2868097,
2879317,
2887837,
2916511,
2987167,
3005737,
3057601,
3186821,
3209053,
3225601,
3367771,
3429889,
3488041,
3523801,
3536821,
3581761,
3596633,
3677741,
3828001,
4010401,
4040281,
4100041,
4151281,
4209661,
4260301,
4326301,
4335241,
4372771,
4373461,
4415581,
4504501,
4762381,
4784689,
4909411,
4909913,
5049001,
5148001,
5180593,
5427841,
5444489,
5474657,
5481451,
5690251,
5718721,
5892511,
5934391,
5968873,
6189121,
6298513,
6457951,
6733693,
6822541,
6868261,
6997981,
7027681,
7207201,
7406311,
7439641,
7519441,
7521361,
7678501,
7948081,
7968511,
8021287,
8070217,
8134561,
8421037,
8529193,
8829451,
8835301,
8889791,
8948701,
9069229,
9159601,
9396049,
9439201,
9564241,
9651851,
9776701,
9897121,
10006501,
10024561,
10089601,
10100101,
10267951,
10520641,
10555721,
10556113,
10654177,
10757377,
10983649,
11043229,
11130241,
11381371,
11453761,
11546051,
11691211,
11972017,
12011201,
12407011,
12755161,
12968161,
13354561,
13390201,
13449241,
13520321,
13524929,
13544851,
13780621,
13850801,
13970521,
14135101,
14469841,
14609401,
14663281,
14676481,
14677631,
14684629,
14913991,
15071941,
15136993,
15247621,
15374209,
15507193,
15513121,
15752017,
15829633,
15882217,
16011601,
16017541,
16032841,
16099921,
16144831,
16535023,
16666651,
17000017,
17098369,
17191081,
17236801,
17316001,
17324833,
17491951,
17516059,
17970613,
18154561,
18783781,
18913361,
19384289,
20168461,
20968501,
20986351,
21395611.
Some larger examples :
89456641,
89854601,
89946001,
90196381,
90698401,
90770461,
91722241,
92625121,
93282751,
93755971,
96895441,
96961261,
97733761,
98158789,
98324101,
98465641,
98615353,
99036001,
99186529,
99627557.