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economical n.  and  super-d n.

First numbers that belong to both sets:

19, 31, 81, 105, 106, 107, 119, 127, 131, 169, 181, 219, 269, 281, 331, 335, 337, 419, 431, 469, 511, 569, 581, 601, 619, 631, 679, 719, 739, 769, 881, 919, 1019, 1031, 1046, 1049, 1051, 1053, 1055, 1057, 1058, 1059, 1061, 1063, 1065, 1067, 1069, 1072, 1081, 1119, 1123, 1145, 1168, 1169, 1181, 1219, 1231, 1269, 1281, 1319, 1331, 1369, 1377, 1381, 1431, 1453, 1454, 1471, 1481, 1487, 1519, 1531, 1569, 1619, 1631, 1645, 1669, 1681, 1731, 1761, 1769, 1792, 1831, 1847, 1869, 1901, 1923, 1931, 1981, 2019, 2031, 2069, 2081, 2131, 2181, 2219, 2231, 2269, 2281, 2319, 2381, 2395, 2419, 2469, 2471, 2473, 2477, 2479, 2481, 2531, 2569, 2571, 2581, 2591, 2619, 2627, 2631, 2681, 2719, 2731, 2759, 2819, 2848, 2881, 2931, 2935, 2969, 3011, 3019, 3031, 3035, 3087, 3119, 3163, 3169, 3181, 3239, 3269, 3319, 3321, 3323, 3328, 3329, 3331, 3337, 3343, 3347, 3353, 3359, 3361, 3362, 3365, 3371, 3373, 3375, 3385, 3389, 3391, 3431, 3469, 3481, 3569, 3581, 3623, 3631, 3719, 3769, 3829, 3851, 3869, 3877, 3881, 3919, 3931, 3969, 4013, 4019, 4131, 4219, 4231, 4261, 4285, 4319, 4331, 4451, 4481, 4489, 4519, 4595, 4597, 4649, 4781, 4819, 4831, 4919, 4931, 4969, 5011, 5081, 5113, 5119, 5131, 5231, 5281, 5381, 5419, 5431, 5471, 5501, 5519, 5531, 5569, 5579, 5581, 5623, 5669, 5831, 5869, 5881, 5981, 6011, 6059, 6131, 6133, 6181, 6269, 6319, 6377, 6469, 6481, 6497, 6569, 6581, 6619, 6719, 6761, 6769, 6781, 6791, 6793, 6859, 6869, 6881, 7019, 7031, 7069, 7079, 7081, 7151, 7219, 7229, 7243, 7331, 7369, 7481, 7559, 7669, 7681, 7817, 7823, 7829, 7841, 7919, 8011, 8019, 8069, 8081, 8219, 8231, 8269, 8369, 8419, 8431, 8581, 8609, 8623, 8669, 8681, 8719, 8731.

Some larger examples :