First numbers that belong to both sets:
7,
31,
121,
211,
255,
400,
703,
1111,
2257,
2380,
2863,
3280,
3616,
5113,
6643,
7240,
8421,
11773,
13573,
17823,
20593,
23563,
26083,
27723,
35533,
38613,
42643,
49953,
52060,
54523,
56883,
58323,
63253,
65793,
70644,
73713,
75895,
83233,
89103,
90903,
98283,
98911,
104653,
107913,
109893,
111111,
116623,
117993,
120100,
123553,
128523,
139503,
143263,
162813,
177663,
178809,
200257,
217623,
227053,
228963,
245411,
246513,
258573,
277203,
293223,
300853,
305320,
309693,
311923,
320923,
326613,
332353,
343983,
352243,
358203,
361803,
376383,
385021,
397531,
400057,
417963,
420553,
433623,
437583,
444223,
444829,
453603,
457653,
478173,
480715,
499143,
506233,
564753,
582933,
585991,
597871,
599851,
629643,
634413,
653673,
656911,
658533,
678153,
683103,
708123,
728463,
733593,
754293,
780573,
792991,
807303,
812703,
834483,
862113,
890193,
893971,
924483,
953553,
977133,
979111,
983073,
989031,
1007013,
1017073,
1033273,
1068123,
1099353,
1103440,
1137423,
1169643,
1187011,
1195743,
1224343,
1228773,
1296183,
1337493,
1365393,
1367731,
1372413,
1407783,
1412533,
1436403,
1443603,
1472583,
1475011,
1494655,
1499401,
1509213,
1516593,
1521523,
1541323,
1546293,
1553763,
1588861,
1591383,
1621803,
1629453,
1678321,
1706943,
1727911,
1738443,
1746363,
1786233,
1788907,
1796941,
1818453,
1826553,
1859133,
1908543,
1919611,
1941843,
1944631,
1947421,
1950213,
1972621,
1992333,
2020663,
2034903,
2069283,
2127223,
2150623,
2156493,
2165313,
2180053,
2209683,
2230543,
2245503,
2254503,
2290683,
2317525,
2336313,
2345493,
2382393,
2391663,
2438283,
2485353,
2532873,
2534089,
2571213,
2580843,
2590260,
2593711,
2613660,
2619543,
2625641,
2626021,
2629263,
2678133,
2717553,
2727453,
2767233,
2773891,
2817363,
2827443,
2891701,
2925811,
2929233,
2956681,
2967007,
2970453,
3015433,
3032823,
3050263,
3074763,
3085293,
3127593,
3138213,
3180873,
3191583,
3234603,
3245403,
3343413,
3354393,
3409563,
3465183,
3540043,
3566433,
3573991,
3623313,
3634743,
3680643,
3692163,
3696007,
3808353,
3855333,
3878931,
3882871,
3914463,
3918421,
3926343,
3958111,
3974043,
3998001,
4026043,
4094553,
4098601,
4106703,
4135123,
4155483,
4193821,
4216863,
4229193,
4282831,
4286971,
4291113,
4320163,
4340973,
4353483,
4403703,
4416303,
4530513,
4543293,
4607463,
4667761,
4672083,
4706731,
4724103,
4737153,
4802673,
4864231.
Some larger examples :
990077691,
991462657,
991525633,
991840543,
992533521,
992911611,
993037657,
993857151,
994361623,
994424691,
994803141,
995370951,
995497153,
995812693,
996317661,
996949051,
997517473,
998002000,
998212431,
999160491.