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admirable n.  and  Smith n.

First numbers that belong to both sets:

438, 654, 762, 1086, 1626, 1842, 1952, 3138, 3246, 4974, 5298, 5946, 6054, 6702, 7026, 7674, 7782, 8754, 9294, 9942, 10698, 10806, 12318, 13506, 14046, 15018, 15126, 15558, 15882, 16098, 16746, 17718, 17826, 18474, 19554, 21066, 21498, 23658, 24306, 24954, 26682, 27546, 29166, 29706, 30138, 33378, 33486, 33918, 34458, 35538, 37374, 37482, 38238, 38562, 39318, 39426, 39642, 40398, 40938, 42774, 43854, 45366, 46338, 46446, 47958, 49146, 49254, 49902, 50658, 50766, 51738, 51846, 52278, 52386, 52818, 52926, 54006, 54546, 54654, 54762, 55086, 56058, 57894, 58326, 58974, 59298, 59406, 59838, 60054, 60594, 62754, 62862, 63834, 63942, 64374, 65346, 65454, 67182, 67722, 68802, 70206, 70962, 71178, 71718, 71826, 72042, 72582, 73662, 74742, 75282, 75714, 75822, 76794, 77118, 77442, 77874, 79062, 79602, 81546, 81762, 82086, 82842, 83204, 86082, 86514, 86622, 88674, 88782, 89106, 90834, 91158, 91914, 92238, 92346, 92562, 93642, 96342, 98502, 100986, 102066, 104658, 105738, 106278, 107466, 108762, 109086, 109518, 109842, 110598, 114486, 116538, 116646, 117186, 117618, 118806, 119778, 120426, 120642, 122046, 123126, 123558, 124638, 124854, 127662, 129174, 131658, 131766, 132306, 132954, 134682, 135006, 135438, 136842, 137166, 138354, 140838, 141378, 141486, 142458, 142566, 144294, 145374, 145482, 146238, 146346, 146994, 147426, 149046, 150882, 151098, 151854, 152718, 152826, 153366, 154446, 155418, 156174, 156714, 157254, 157362, 157902, 158226, 158442, 158874, 158982, 160278, 160386, 160926, 162438, 162546, 162654, 162762, 163518, 163626, 164166, 165246, 166758, 167298, 167406, 168162, 168594, 169674, 169782, 171078, 171618, 171726, 172266, 175506, 177774, 178098, 179178, 179286, 180582, 181554, 183174, 183822, 184362, 184902, 185118, 185226, 186414, 187062, 187602, 188142, 190626, 192354, 192462, 193542, 196242, 196674, 196782, 203586, 204774, 204882, 205098, 205638, 205962, 206286, 206826, 207258, 207906, 210498, 211686, 212766, 213198, 214386, 214818, 215466, 215898, 216438, 216654, 217842, 218058, 218706, 219138, 219246, 223458, 224538, 224646, 226698.

Some larger examples :