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happy n.  and  Smith n.

First numbers that belong to both sets:

94, 319, 391, 913, 1581, 1755, 1881, 1903, 2475, 2484, 2745, 2751, 3091, 3564, 4414, 4428, 4788, 4855, 4959, 4960, 5172, 5242, 5248, 5422, 5458, 5485, 5854, 7447, 7712, 7824, 8545, 8874, 9031, 9301, 9386, 9387, 9968, 9975, 11358, 11385, 11388, 11583, 11816, 12226, 12262, 12318, 12622, 12627, 12658, 12939, 13472, 13662, 13812, 14494, 14832, 15018, 15286, 15682, 15704, 15778, 16222, 16285, 16582, 17424, 17840, 17885, 18108, 18132, 18513, 18562, 18865, 19212, 19272, 19376, 19590, 19592, 19943, 19952, 20542, 20754, 20784, 21226, 21262, 21685, 21865, 22054, 22119, 22725, 22734, 22738, 22816, 22837, 22971, 23484, 24259, 24354, 24502, 25256, 25294, 25429, 25614, 25618, 26185, 26292, 26475, 26518, 27045, 27238, 27261, 27382, 27546, 27621, 27804, 27855, 29139, 29172, 29193, 29254, 29398, 29542, 29890, 29893, 29938, 30766, 30879, 31724, 31976, 32118, 32278, 32418, 32454, 32648, 32724, 32827, 32899, 32989, 32991, 33056, 33760, 34182, 34458, 34555, 34956, 34978, 34987, 35469, 35545, 36706, 36890, 37098, 37498, 37606, 37822, 37894, 38976, 39260, 39456, 39478, 39678, 39780, 39874, 39982, 40477, 40522, 40585, 40855, 41494, 42138, 42276, 42657, 42765, 42780, 43854, 43879, 44028, 44652, 45022, 45054, 45264, 45732, 45805, 45922, 45936, 47008, 47074, 47088, 47265, 47568, 47578, 47740, 47758, 48204, 48345, 48432, 48435, 48793, 48807, 48880, 49536, 49818, 49954, 50242, 50427, 50458, 50845, 51286, 51328, 51682, 51826, 51862, 51990, 52042, 52071, 52476, 52618, 52785, 53455, 53545, 53724, 53742, 54022, 54234, 54553, 54639, 54762, 54963, 55055, 55344, 55345, 55384, 55432, 55435, 55728, 55966, 56208, 56218, 56281, 57477, 58054, 58126, 58405, 58774, 59556, 59565, 60656, 61992, 62158, 62185, 62457, 62518, 62754, 62977, 64328, 64572, 64959, 65218, 66231, 66332, 66650, 67122, 67297, 67360, 67729, 68793, 69354, 69549, 69708, 69836, 70839, 71072, 72382, 72465, 72564, 73498, 73776, 73894, 74398, 74758, 74772, 74785.

Some larger examples :