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junction n.  and  lucky n.

First numbers that belong to both sets:

105, 111, 115, 303, 307, 319, 511, 517, 519, 717, 723, 925, 1009, 1011, 1203, 1209, 1219, 1417, 1419, 1611, 1809, 1819, 2019, 2023, 2113, 2115, 2311, 2317, 2511, 2523, 2715, 2725, 2913, 2923, 3003, 3007, 3213, 3409, 3411, 3613, 3621, 3625, 3811, 4015, 4023, 4105, 4107, 4315, 4321, 4509, 4519, 4521, 4713, 4717, 4725, 4929, 5007, 5019, 5211, 5217, 5409, 5419, 5613, 5617, 5817, 5827, 6019, 6031, 6111, 6115, 6123, 6309, 6523, 6715, 6723, 6915, 6921, 6931, 7009, 7215, 7419, 7629, 7827, 8109, 8325, 8515, 8719, 8931, 9009, 9211, 9213, 9223, 9421, 9423, 9429, 9621, 9625, 9631, 10003, 10009, 10017, 10411, 10417, 10609, 10809, 11017, 11113, 11521, 11721, 11725, 11911, 11923, 12007, 12015, 12207, 12411, 12417, 12609, 12621, 12813, 12819, 13021, 13027, 13029, 13113, 13117, 13119, 13309, 13317, 13323, 13513, 13515, 13519, 13723, 13725, 13929, 14007, 14017, 14209, 14211, 14217, 14419, 14625, 14817, 15025, 15031, 15109, 15121, 15313, 15511, 15519, 15523, 15717, 15919, 15927, 16009, 16213, 16413, 16417, 16615, 16617, 16621, 16825, 16827, 17019, 17115, 17119, 17125, 17313, 17517, 17527, 17725, 17925, 18019, 18211, 18615, 18619, 18621, 18817, 18819, 18825, 19033, 19113, 19119, 19125, 19323, 19327, 19329, 19521, 19719, 19723, 19725, 19731, 19921, 19929, 20013, 20017, 20103, 20307, 20319, 20509, 20511, 20713, 20923, 21013, 21015, 21205, 21211, 21409, 21411, 21421, 21609, 21613, 21615, 21621, 21819, 22017, 22113, 22119, 22521, 22525, 22711, 22921, 23007, 23419, 23421, 23613, 23815, 23829, 24025, 24117, 24121, 24309, 24321, 24523, 24727, 24729, 25015, 25017, 25021, 25213, 25215, 25225, 25413, 25425, 25621, 25623, 25815, 25819, 25821, 26025, 26115, 26119, 26313, 26319, 26523, 26529, 26719, 26721, 26727, 26923, 26925, 27009, 27013, 27217, 27415, 27417, 27427, 27829, 27831, 28021, 28023, 28027, 28119, 28123, 28321, 28329, 28525, 28921, 28923.

Some larger examples :