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congruent n.  and  Smith n.

First numbers that belong to both sets:

22, 85, 94, 166, 265, 319, 382, 391, 438, 454, 517, 526, 535, 636, 645, 654, 663, 728, 852, 861, 895, 915, 958, 985, 1086, 1111, 1165, 1255, 1282, 1376, 1449, 1581, 1633, 1678, 1736, 1776, 1822, 1858, 1872, 1894, 1903, 1908, 1935, 1966, 2038, 2079, 2173, 2182, 2286, 2326, 2366, 2373, 2434, 2461, 2484, 2556, 2576, 2583, 2605, 2614, 2679, 2751, 2839, 2902, 2911, 2934, 2944, 2958, 2964, 2965, 2970, 2974, 3046, 3168, 3174, 3246, 3294, 3366, 3390, 3595, 3615, 3622, 3663, 3690, 3694, 3864, 3865, 3930, 3973, 4054, 4126, 4173, 4185, 4189, 4191, 4198, 4279, 4414, 4464, 4472, 4557, 4592, 4702, 4743, 4765, 4788, 4794, 4832, 4855, 4918, 4959, 4960, 4974, 4981, 5062, 5071, 5088, 5172, 5253, 5269, 5397, 5422, 5485, 5526, 5602, 5638, 5772, 5854, 5926, 5935, 5936, 5998, 6036, 6054, 6096, 6295, 6439, 6502, 6531, 6567, 6583, 6684, 6693, 6702, 6718, 6816, 6855, 6880, 6934, 6981, 7062, 7068, 7078, 7119, 7136, 7287, 7438, 7447, 7503, 7695, 7726, 7764, 7782, 8005, 8014, 8023, 8077, 8095, 8149, 8158, 8253, 8277, 8372, 8412, 8421, 8518, 8568, 8628, 8653, 8680, 8736, 8766, 8790, 8792, 8883, 8901, 9015, 9031, 9094, 9166, 9184, 9229, 9276, 9285, 9294, 9296, 9301, 9382, 9396, 9414, 9483, 9535, 9598, 9634, 9639, 9657, 9684, 9717, 9735, 9742, 9840, 9861, 9880, 9895, 9942, 9968, 9975, 10086, 10296, 10462, 10489, 10494, 10592, 10606, 10669, 10736, 10791, 10797, 10806, 10845, 10887, 10966, 11065, 11358, 11388, 11583, 11659, 11679, 11686, 11695, 11696, 11790, 11965, 11984, 12055, 12262, 12318, 12406, 12519, 12558, 12573, 12622, 12656, 12684, 12732, 12771, 12847, 12937, 12957, 12975, 12982, 13369, 13454, 13639, 13662, 13765, 13812, 13974, 14046, 14085, 14168, 14206, 14359, 14391, 14422, 14464, 14494, 14534, 14566, 14672.

Some larger examples :