First numbers that belong to both sets:
31,
97,
389,
1021,
1109,
1223,
1559,
3023,
3067,
3089,
3359,
3583,
3719,
3853,
7027,
7229,
7699,
7879,
7901,
9029,
9521,
9679,
9769,
9791,
10177,
10739,
11257,
11593,
11953,
12113,
12269,
12763,
12919,
13009,
13147,
13259,
13619,
13933,
14293,
14519,
14563,
14923,
15149,
15643,
15733,
16001,
16453,
16699,
16879,
17443,
17599,
17959,
18253,
18701,
18859,
19219,
19333,
19421,
19423,
19489,
19759,
30517,
30539,
30853,
31259,
31327,
31393,
32203,
32563,
33329,
33911,
34273,
34721,
35083,
35129,
35419,
35801,
36523,
36791,
37243,
37309,
37489,
37781,
38053,
38119,
38861,
39581,
39827,
39829,
70969,
71263,
71353,
71711,
72253,
73063,
73421,
73849,
73939,
73961,
74143,
74209,
74411,
74771,
75223,
75289,
75401,
75941,
77471,
78259,
78439,
79427,
79451,
79631,
90001,
90163,
90499,
90679,
90971,
91781,
92119,
92143,
92479,
92861,
93199,
93559,
93581,
93941,
94033,
94121,
94907,
95111,
95539,
96281,
96797,
97429,
97787,
98081,
98507,
98597,
98731,
99023,
99139,
99251,
99317,
99431,
99721,
99923,
100267,
100357,
100379,
100537,
100693,
100829,
101503,
102539,
102763,
103349,
103393,
103483,
104743,
105373,
105619,
106543,
106699,
106721,
107509,
107981,
108343,
108881,
108971,
109063,
109423,
109579,
109849,
110459,
110819,
111337,
111427,
111919,
112213,
112237,
112663,
113227,
113899,
114329,
115001,
115879,
116443,
117499,
117881,
118423,
119321,
119389,
120157,
120427,
120539,
120763,
120919,
121439,
122203,
122921,
123127,
123217,
123419,
123553,
123821,
123911,
124139,
125219,
126499,
126949,
127601,
127781,
127849,
128321,
129221,
129223,
129671,
130079,
130147,
130349,
130619,
130843,
131293,
131743,
132059,
132283,
133319,
133723,
134263,
135409,
135589,
136333,
136511,
137321,
138401,
138581,
139121,
139661,
140249,
140473,
141619,
141709,
142049,
144073,
144163,
144253,
144409,
144701,
144791,
145063,
145399,
145601,
146323,
146749,
147221,
147289,
147671,
148301,
148817,
149561,
149627,
150217,
150239,
150329,
150889,
151027,
152083,
152219,
152443,
152623,
152981,
153589,
153611,
153701,
154243,
154333,
154423,
155569,
156671.
Some larger examples :
199976509,
199977499,
199979569,
199982473,
199983349,
199985083,
199986431,
199987063,
199987241,
199988479,
199988681,
199988771,
199991069,
199991203,
199994329,
199995163,
199996759,
199998221,
199998559,
199999661.