First numbers that belong to both sets:
25,
127,
289,
1285,
1395,
1435,
1503,
1827,
2187,
2505,
3685,
10255,
10525,
10575,
11163,
11259,
11439,
11943,
12103,
12321,
12337,
13125,
13243,
13725,
14035,
15003,
15379,
15567,
15585,
15645,
15655,
15661,
15697,
15975,
16245,
16381,
16387,
16447,
16479,
16765,
17253,
17689,
17925,
18723,
19629,
19693,
19773,
20485,
21175,
27639,
27783,
29517,
32761,
32775,
32845,
32853,
32865,
32875,
33495,
35721,
36549,
36855,
37845,
39283,
39295,
39945,
42025,
45363,
45927,
45957,
46641,
46651,
46653,
46875,
48751,
48753,
49855,
51759,
52429,
52731,
53245,
53865,
54369,
58971,
59055,
59263,
59409,
62503,
63895,
63945,
65481,
66339,
69985,
71199,
74353,
75433,
78133,
78165,
83521,
98305,
99225,
102051,
102487,
102505,
102595,
103687,
103689,
109375,
112509,
113725,
114697,
115699,
116565,
116625,
116937,
117067,
117567,
117613,
117637,
117645,
117663,
117669,
117729,
117747,
122503,
123265,
124659,
124993,
125025,
125035,
125055,
125061,
125065,
125067,
125089,
125317,
126025,
127933,
128481,
129603,
129645,
129955,
130321,
131071,
132175,
132493,
132495,
132499,
132615,
132625,
132645,
132651,
132657,
132685,
132715,
132855,
133125,
133245,
134275,
134937,
135247,
135625,
136213,
136857,
137539,
137635,
137679,
137733,
137797,
137859,
139281,
139677,
139905,
141345,
142129,
143739,
143775,
146329,
146335,
147393,
147453,
147457,
147469,
147591,
147843,
147897,
148239,
152271,
154791,
156225,
156255,
156285,
156325,
156439,
156933,
157423,
157639,
159045,
159049,
159201,
161053,
161115,
161587,
162045,
162759,
163275,
163825,
164275,
164775,
165879,
166375,
166383,
166389,
167281,
167961,
168259,
172873,
174793,
175615,
176469,
176475,
177145,
178929,
179475,
181243,
183715,
183729,
185193,
185647,
185935,
186559,
186615,
186643,
186649,
186745,
187029,
187279,
191373,
192465,
192685,
194229,
194367,
194473,
194487,
196527,
196585,
196687,
196833,
197725,
197925,
198925,
204375,
206487,
208537,
209953,
210147,
213759,
215049,
215431,
216013,
216015,
216027,
216037,
216039,
216043,
216079,
216081,
216097,
223587,
226579,
226981,
227467,
229387,
231367,
233289,
233521,
233523,
234213,
234265,
234283.
Some larger examples :
937539,
937551,
937591,
941181,
941191,
944811,
946723,
954529,
958693,
960787,
965287,
970293,
970369,
975535,
976587,
981225,
983041,
984375,
995341,
995347.