First numbers that belong to both sets:
341,
1387,
2047,
2701,
3277,
4033,
4369,
4681,
5461,
7957,
8321,
10261,
13747,
14491,
15709,
18721,
19951,
23377,
31417,
31609,
31621,
35333,
42799,
49141,
49981,
60701,
60787,
65077,
65281,
80581,
83333,
85489,
88357,
90751,
104653,
123251,
129889,
130561,
150851,
162193,
164737,
181901,
188057,
194221,
196093,
215749,
219781,
220729,
226801,
233017,
241001,
249841,
253241,
256999,
264773,
271951,
275887,
280601,
282133,
294271,
318361,
357761,
390937,
396271,
422659,
435671,
443719,
452051,
458989,
481573,
486737,
489997,
513629,
514447,
556169,
580337,
582289,
587861,
604117,
611701,
642001,
647089,
653333,
657901,
665281,
665333,
672487,
679729,
680627,
688213,
710533,
721801,
722201,
722261,
729061,
741751,
742813,
745889,
769567,
769757,
818201,
838861,
873181,
877099,
916327,
976873,
983401,
1016801,
1053761,
1064053,
1073021,
1082401,
1092547,
1109461,
1132657,
1145257,
1168513,
1194649,
1207361,
1251949,
1252697,
1277179,
1293337,
1302451,
1325843,
1357441,
1373653,
1397419,
1433407,
1441091,
1457773,
1493857,
1507963,
1509709,
1530787,
1537381,
1584133,
1678541,
1690501,
1730977,
1735841,
1755001,
1809697,
1811573,
1826203,
1876393,
1969417,
1987021,
1994689,
2004403,
2008597,
2035153,
2081713,
2134277,
2163001,
2181961,
2184571,
2205967,
2261953,
2264369,
2269093,
2284453,
2304167,
2313697,
2387797,
2434651,
2487941,
2491637,
2510569,
2528921,
2617451,
2649029,
2670361,
2746477,
2746589,
2748023,
2757241,
2811271,
2827801,
2909197,
2944261,
2976487,
2977217,
3059101,
3090091,
3116107,
3125281,
3235699,
3337849,
3345773,
3363121,
3375041,
3375487,
3400013,
3413533,
3429037,
3471071,
3539101,
3542533,
3567481,
3568661,
3605429,
3656449,
3898129,
3911197,
3985921,
4082653,
4097791,
4101637,
4151869,
4181921,
4188889,
4314967,
4360621,
4361389,
4415251,
4469471,
4480477,
4513841,
4567837,
4835209,
4863127,
4868701,
4869313,
4922413,
5016191,
5044033,
5095177,
5131589,
5173169,
5173601,
5176153,
5256091,
5284333,
5351537,
5423713,
5489641,
5524693,
5575501,
5590621,
5672041,
5766001,
5919187,
6027193,
6118141,
6122551,
6140161,
6159301,
6226193,
6233977,
6236257,
6278533,
6334351,
6368689,
6386993,
6539527,
6631549,
6658669,
6749021,
6779137,
6787327,
6836233,
6912079,
6952037,
6955541,
6973063,
7017193,
7232321,
7295851,
7306261,
7306561,
7414333,
7429117,
7462001,
7674967,
7725901,
7759937,
7820201,
7883731,
8036033.
Some larger examples :
95452781,
96135601,
96618397,
96888641,
96904081,
96925921,
97255801,
97496449,
97655933,
97676723,
97796953,
97863529,
97924217,
98523877,
98735209,
99115297,
99486889,
99789673,
99898801,
99945007.