First numbers that belong to both sets:
25,
121,
289,
1255,
1285,
2501,
2507,
2509,
3281,
4106,
6145,
6455,
10201,
11663,
11665,
12091,
12106,
12769,
12955,
13813,
13822,
13823,
14129,
14647,
15567,
15586,
15613,
15623,
15627,
15634,
15689,
15697,
16295,
16347,
16382,
16387,
16743,
16783,
17482,
19321,
19653,
19693,
21953,
22757,
24385,
25105,
25895,
27889,
29517,
29519,
29549,
29929,
32761,
32762,
32765,
32815,
32845,
32849,
32854,
32855,
32885,
34991,
34993,
35726,
35782,
35942,
37187,
37249,
38427,
39283,
39362,
39363,
43689,
44977,
45363,
45367,
45947,
45957,
46613,
46615,
46637,
46642,
46651,
46653,
46661,
46673,
46677,
48758,
48759,
52483,
52493,
52498,
53297,
54953,
54958,
58973,
59039,
59054,
59057,
59129,
59759,
62503,
64522,
65483,
65489,
65491,
65531,
65542,
67234,
69253,
69985,
74183,
74533,
75433,
77459,
78123,
78133,
83957,
87382,
91853,
97333,
97343,
98305,
98435,
100255,
101299,
102783,
104366,
104897,
104969,
104978,
105295,
106289,
107329,
109351,
109353,
109355,
109358,
112505,
114647,
114697,
116317,
116342,
116635,
116729,
116837,
117067,
117466,
117574,
117578,
117587,
117597,
117613,
117627,
117637,
117641,
117647,
117651,
117653,
117655,
117661,
117662,
117677,
117685,
117695,
117697,
117739,
117767,
117785,
118567,
123199,
123897,
124385,
124483,
124585,
124609,
124851,
124973,
125002,
125007,
125009,
125011,
125014,
125033,
125039,
125041,
125043,
125047,
125051,
125057,
125059,
125061,
125065,
125066,
125071,
125078,
125087,
125089,
125098,
125099,
125317,
125943,
126559,
126563,
126737,
127417,
127454,
128633,
129595,
129603,
129647,
130294,
130679,
131073,
132493,
132497,
132565,
132567,
132653,
132659,
133594,
134455,
134457,
134459,
134462,
134465,
134549,
134689,
134783,
136079,
137257,
137281,
137497,
137539,
137635,
137638,
137642,
137679,
137719,
137729,
137749,
137759,
137779,
137782,
137789,
137794,
137797,
137798,
137859,
137879,
137893,
137899,
138235,
139129,
139677,
142735,
142795,
143857,
144527,
145117,
145273,
146137,
146293,
146337,
146378,
146411,
146413,
146473,
146689,
146758,
147349,
147383,
147439,
147469,
147491,
147493,
147905,
148223,
149782,
151447.
Some larger examples :
966283,
966289,
968245,
970369,
970451,
972415,
973282,
974815,
976523,
976526,
976529,
976539,
976583,
976595,
978122,
979769,
983047,
995331,
995333,
999163.