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Smith n.  and  Ulam n.

First numbers that belong to both sets:

4, 319, 382, 483, 627, 690, 861, 1858, 1966, 2484, 3390, 3622, 3649, 3930, 5269, 5946, 6178, 6457, 6567, 7195, 7952, 8077, 8253, 8277, 8421, 8754, 9015, 9184, 9193, 9355, 9985, 10606, 10806, 11388, 12055, 12622, 12658, 12939, 13369, 13506, 14046, 14085, 14168, 15898, 15984, 16123, 16438, 16653, 16744, 16746, 17455, 17826, 17907, 18085, 18278, 18513, 18618, 19251, 19590, 19644, 19683, 19808, 20785, 21066, 21865, 21970, 22234, 22342, 22725, 22816, 24954, 25015, 25078, 25105, 25298, 26185, 26637, 26943, 27045, 27238, 28174, 28208, 28255, 28905, 29706, 29772, 30393, 31693, 31976, 32638, 33462, 33486, 33633, 33635, 34654, 34784, 36296, 36335, 36555, 36680, 37129, 37462, 37476, 37743, 37848, 38146, 38283, 38490, 38515, 38578, 38864, 38925, 39492, 39536, 40587, 40672, 41278, 41926, 42214, 42493, 42495, 42688, 42774, 43287, 43402, 43807, 45022, 45366, 45454, 45728, 45735, 45972, 46363, 46615, 47074, 47218, 47326, 47568, 47763, 48154, 48345, 49173, 49342, 51328, 51428, 52386, 52645, 52789, 52926, 52992, 53698, 53772, 53979, 54690, 55086, 57894, 57930, 58326, 58932, 59172, 59318, 59406, 59616, 59638, 60142, 60205, 60252, 60315, 60511, 60547, 60855, 61935, 62216, 62754, 63814, 64374, 64376, 64867, 65346, 65542, 65578, 65803, 65974, 66636, 67198, 67592, 67594, 68325, 68652, 68931, 69214, 69241, 69754, 70839, 71176, 71526, 72022, 72193, 72195, 72598, 72994, 73165, 73617, 73642, 73705, 73903, 74614, 74722, 75159, 75237, 75298, 75694, 75753, 75804, 75870, 75992, 76188, 76378, 76425, 76711, 76747, 76918, 77458, 77874, 78135, 78612, 78680, 79042, 79447, 79582, 79953, 81158, 82665, 82714, 83362, 83745, 84073, 84266, 84703, 85524, 85927, 86296, 86433, 86514, 86560, 86670, 87574, 87855, 88046, 88842, 89106, 89280, 89302, 89412, 89414, 89844, 90128, 90228, 90553, 90555, 90687, 90834, 92224, 93021, 93255, 93275, 93451, 93856, 94550, 94812, 95674, 95955, 96727, 97040, 97978, 98545, 98653, 98655, 99190, 99564.

Some larger examples :