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Duffinian n.  and  modest n.

First numbers that belong to both sets:

39, 49, 111, 133, 203, 209, 299, 309, 327, 333, 399, 511, 515, 533, 611, 633, 711, 721, 763, 777, 799, 833, 899, 927, 981, 999, 1003, 1011, 1027, 1037, 1055, 1099, 1111, 1133, 1227, 1299, 1333, 1421, 1463, 1477, 1533, 1555, 1633, 1751, 1799, 1899, 1957, 2033, 2127, 2133, 2163, 2177, 2199, 2233, 2369, 2433, 2533, 2555, 2575, 2599, 2781, 2863, 2899, 2987, 3027, 3033, 3055, 3081, 3099, 3133, 3193, 3199, 3233, 3451, 3563, 3577, 3599, 3681, 3799, 3857, 3899, 3999, 4009, 4037, 4055, 4199, 4333, 4399, 4499, 4555, 4599, 4669, 4699, 4963, 4977, 5027, 5111, 5185, 5299, 5555, 5599, 5663, 5699, 5799, 5887, 5899, 5999, 6293, 6377, 6381, 6399, 6499, 6799, 7009, 7021, 7037, 7063, 7077, 7099, 7111, 7199, 7259, 7299, 7399, 7777, 7799, 7999, 8027, 8299, 8333, 8399, 8499, 8899, 9037, 9081, 9099, 9111, 9299, 9399, 9499, 9599, 9799, 9899, 10003, 10015, 10027, 10033, 10135, 10555, 10999, 11033, 11037, 11099, 11111, 11297, 11333, 11407, 11999, 12027, 12081, 12333, 12999, 13039, 13111, 13117, 13333, 13351, 13481, 14021, 14027, 14111, 14189, 14333, 14777, 14999, 15037, 15185, 16027, 16037, 16999, 17037, 17051, 17111, 17153, 17459, 17629, 17999, 18037, 18111, 19027, 19057, 19111, 19171, 19513, 19703, 19999, 20003, 20009, 20027, 20033, 20037, 20099, 20111, 20135, 20185, 20303, 20555, 20909, 20999, 21027, 21037, 21081, 21189, 21333, 21999, 22033, 22297, 22333, 22999, 23069, 23111, 23207, 23621, 23851, 23999, 24037, 25027, 25135, 25333, 25925, 26027, 26039, 26333, 27037, 27111, 27243, 27333, 27729, 28037, 28063, 28189, 28259, 28333, 28777, 28999, 29037, 29087, 29111, 29261, 29783, 29999, 30009, 30027, 30037, 30081, 30099, 30101, 30185, 30297, 30333, 30909, 30999, 31037, 31093, 31111, 31279, 31837, 31999, 32111, 32333, 32727, 33407, 34037, 34051, 34111, 34333, 34459, 34999, 35045, 35063.

Some larger examples :