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super-d n.  and  Ulam n.

First numbers that belong to both sets:

69, 106, 131, 219, 319, 339, 431, 690, 739, 781, 783, 1052, 1081, 1169, 1377, 1431, 1531, 1616, 1792, 1900, 1919, 1968, 2462, 2481, 2581, 2831, 2919, 3031, 3131, 3219, 3239, 3368, 3371, 3373, 3390, 3481, 3669, 4018, 4451, 4519, 4531, 4602, 4619, 4732, 4881, 4969, 5049, 5081, 5181, 5269, 5318, 5531, 5533, 5687, 5944, 6051, 6310, 6481, 6569, 6831, 6862, 6931, 7219, 7322, 7471, 7490, 7539, 7559, 7581, 7737, 7752, 7781, 7818, 7820, 7881, 8011, 8253, 8531, 8617, 8619, 8969, 9193, 9196, 9619, 9804, 9919, 9963, 10269, 10369, 10501, 10503, 10520, 10523, 10525, 10537, 10540, 10545, 10547, 10567, 10569, 10584, 10606, 10655, 10657, 10677, 10679, 10691, 10694, 10696, 10713, 10716, 10718, 10804, 10831, 10931, 11219, 11319, 11781, 11881, 11969, 12294, 12614, 12705, 12707, 12810, 13069, 13181, 13281, 13369, 13479, 13531, 13719, 13919, 13931, 14019, 14190, 14281, 14532, 14581, 14733, 14769, 15119, 15231, 15441, 15688, 15881, 16069, 16123, 16419, 16531, 16741, 16810, 16915, 17069, 17181, 17237, 17281, 17645, 17648, 17780, 17819, 18083, 18381, 18444, 18488, 18581, 18623, 18669, 18681, 19006, 19031, 19119, 19121, 19331, 19485, 19546, 19681, 19698, 19810, 19981, 20152, 20169, 20177, 20279, 20282, 20284, 20389, 20399, 20419, 20521, 20643, 20690, 21003, 21132, 21281, 21469, 21645, 21887, 22034, 22315, 22317, 22320, 22322, 22381, 22469, 22471, 22508, 22818, 23331, 23351, 23869, 23981, 24321, 24431, 24599, 24631, 24690, 24734, 24736, 24783, 24785, 24819, 24822, 25081, 25105, 25127, 25169, 25296, 25381, 25469, 25511, 25601, 25645, 26031, 26119, 26146, 26488, 26554, 26637, 26769, 26847, 27331, 27431, 27954, 28081, 28169, 28172, 28431, 28494, 28731, 28907, 28919, 28988, 29056, 29381, 29481, 29569, 29731, 30119, 30131, 30219, 30681, 30759, 30781, 31001, 31123, 31404, 31431, 31497, 31519, 31556, 31619, 31881, 31900, 32086, 32169, 32189, 32580, 32731, 32819.

Some larger examples :