First numbers that belong to both sets:
341,
645,
2465,
2821,
4033,
5461,
8321,
15841,
25761,
31621,
68101,
83333,
162401,
219781,
282133,
348161,
530881,
587861,
653333,
710533,
722261,
997633,
1053761,
1082401,
1193221,
1246785,
1333333,
1357441,
1398101,
1489665,
1584133,
1690501,
1735841,
2433601,
2487941,
2531845,
2944261,
3125281,
3186821,
3375041,
3542533,
3568661,
3581761,
3985921,
4181921,
4767841,
5044033,
5489121,
6278533,
6955541,
7232321,
8036033,
8902741,
9006401,
9533701,
10386241,
10655905,
10974881,
11205601,
12032021,
12322133,
13696033,
13747361,
13773061,
14794081,
16324001,
17870561,
21397381,
21654533,
21880801,
22369621,
22665505,
23464033,
25276421,
25520833,
25696133,
26474581,
27409541,
27664033,
31040833,
32091781,
33600533,
34124641,
36974341,
37354465,
37439201,
44482901,
45879941,
48064021,
56420033,
58679941,
63002501,
63388033,
67194401,
68621701,
69485281,
70006021,
72108421,
75681541,
79464533,
81954133,
82268033,
84164033,
89784581,
91433281,
92829781,
93030145,
93431521,
95451361,
100943201,
101152133,
102690901,
104524421,
109541461,
110413333,
111654401,
112828801,
114305441,
115196033,
116090081,
121374241,
125686241,
125841633,
129205781,
130944133,
134696801,
138828821,
139892065,
143106133,
146272901,
147028001,
149389633,
154513633,
154944533,
155203361,
157368661,
161216021,
161304001,
163954561,
167881121,
170856533,
170947105,
173401621,
176609441,
176977921,
177254533,
180497633,
185653333,
190212181,
191648161,
201261061,
206304961,
206504033,
213835861,
214038533,
220883521,
225853633,
226791685,
228988033,
230879041,
231194965,
231405701,
232460821,
238199941,
250436033,
252853921,
260736341,
263428181,
266925601,
277787141,
278943061,
291461633,
292290181,
311671361,
315351521,
319053281,
338395681,
356604421,
360145633,
368476501,
370874245,
379732501,
380137633,
388695301,
390609941,
415787041,
417767201,
418617281,
419184481,
434932961,
437247841,
449501761,
457320533,
460585861,
461329601,
464012033,
465505633,
468950021,
474970501,
488656981,
493108481,
498662561,
504870241,
509551201,
528013333,
531681281,
532800133,
536003333,
544861633,
561481921,
563947141,
573862021,
577352641,
593444545,
600893921,
602593441,
606682081,
607706401,
611812321,
615760133,
621101185,
622137601,
624732421,
638837761,
644453633,
648328801,
659846021,
689537441,
710617861,
717096641,
742550401,
746331041,
749172821,
752780161,
756205633,
759638881,
765378241,
794399041,
804978721,
811478533,
812070721,
815430533,
816024161,
840749761,
842960981,
845376533,
857100421,
863196181,
868088341,
878940833,
884701441,
887795221,
896901461,
911484421,
920711045,
944832533,
976396961,
985075681,
1005402133,
1009140161,
1021281301,
1024605121,
1064686085,
1084444481,
1090842145,
1101623381,
1152793621,
1180004001,
1183338241,
1191216133,
1192412033,
1195524181,
1198880261,
1205606533,
1217181061,
1231726981,
1234646533,
1235864033,
1249785941,
1252236421.
Some larger examples :
999266414558081,
999389282186261,
999391253386241,
999408994273541,
999413155739041,
999420821619221,
999460246610261,
999472950384133,
999489815863841,
999602183016533,
999694184218133,
999727042816133,
999746101050401,
999771950440033,
999803276843141,
999927053795521,
999934064400833,
999959697135701,
999988178337541,
999993874626581.