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Smith n.  and  sphenic n.

First numbers that belong to both sets:

438, 483, 627, 645, 654, 663, 762, 861, 915, 1086, 1581, 1626, 1842, 2067, 2265, 2373, 2409, 2679, 2751, 3138, 3246, 3345, 3615, 4173, 4191, 4209, 4974, 5253, 5298, 5397, 5946, 6054, 6315, 6531, 6567, 6585, 6603, 6693, 6702, 6855, 6981, 7026, 7089, 7287, 7503, 7674, 7683, 7782, 7809, 8277, 8421, 8754, 9015, 9285, 9294, 9483, 9717, 9843, 9861, 9942, 10419, 10689, 10698, 10761, 10797, 10806, 10887, 11679, 12318, 12795, 12939, 12957, 13506, 14046, 14991, 15018, 15126, 15369, 15558, 15747, 15882, 15981, 16098, 16647, 16746, 17187, 17718, 17826, 17889, 17907, 18069, 18177, 18474, 18735, 19554, 19761, 20229, 20319, 20823, 20859, 21066, 21273, 21498, 21651, 22119, 22983, 23163, 23343, 23577, 23658, 24306, 24387, 24945, 24954, 24963, 24981, 25197, 25809, 26277, 26295, 26637, 26682, 26709, 26727, 26781, 26943, 27267, 27321, 27357, 27546, 27915, 28833, 29139, 29166, 29193, 29265, 29607, 29706, 30138, 30687, 30957, 32793, 32883, 32991, 33027, 33045, 33063, 33315, 33378, 33387, 33486, 33585, 33657, 33747, 33918, 34359, 34395, 34458, 35187, 35538, 35745, 35979, 36393, 36537, 36555, 37095, 37167, 37374, 37383, 37482, 37671, 37743, 38238, 38283, 38562, 38589, 39183, 39255, 39318, 39426, 39471, 39579, 39597, 39642, 40083, 40119, 40398, 40587, 40713, 40938, 41757, 41829, 41973, 42063, 42495, 42657, 42765, 42774, 42783, 42819, 42927, 43287, 43737, 43854, 44331, 44619, 44709, 44763, 45069, 45366, 45735, 46293, 46338, 46437, 46446, 46833, 47067, 47733, 47958, 48147, 48435, 48597, 48849, 48921, 49146, 49173, 49254, 49407, 49713, 49803, 49902, 50397, 50523, 50595, 50658, 50757, 50766, 50865, 51738, 51846, 51927, 51945, 52071, 52197, 52278, 52386, 52755, 52818, 52926, 53565, 53583, 53619, 53979, 54006, 54546, 54645, 54654, 54681, 54762, 55086, 55149, 55293, 55743, 55977, 56058, 56337, 56571, 57345, 57561, 57651, 57894, 58083, 58227, 58326, 58974, 59298, 59307, 59406, 59838, 60045.

Some larger examples :