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Friedman n.  and  super-d n.

First numbers that belong to both sets:

127, 1792, 3281, 3375, 3378, 6145, 9261, 10521, 10525, 10575, 11163, 12769, 12955, 13824, 13825, 15631, 15656, 15688, 15689, 16368, 16377, 16381, 16384, 17536, 17920, 18265, 19682, 24336, 24546, 24768, 25105, 29519, 29531, 29768, 32781, 33495, 33579, 33655, 33696, 34968, 35932, 36457, 39369, 42025, 45362, 45369, 45947, 45957, 45978, 46556, 46619, 46649, 47538, 49896, 52731, 54369, 57645, 59056, 59128, 59319, 59759, 65471, 65481, 65531, 69822, 69895, 74358, 78115, 78116, 78117, 78123, 78125, 78126, 78132, 78133, 78135, 78136, 78152, 78163, 78165, 78225, 87381, 87382, 101299, 102528, 103681, 104888, 104895, 104896, 104897, 104916, 104925, 104958, 104966, 104967, 104968, 104969, 104973, 104975, 104976, 104978, 104979, 104984, 104985, 104986, 104995, 105021, 105025, 105075, 105210, 105250, 105264, 105295, 105378, 105624, 105625, 105723, 105750, 106289, 106923, 106929, 107163, 108241, 111630, 114681, 114682, 114772, 115672, 116675, 117369, 117466, 117476, 117619, 117627, 117644, 117645, 117661, 117669, 117695, 117726, 117750, 119682, 124684, 124956, 125019, 125031, 125069, 125072, 125081, 125364, 127569, 128481, 129285, 129550, 129645, 131769, 132715, 134144, 134584, 134689, 136276, 136752, 137281, 137638, 137669, 137719, 137769, 137772, 137781, 137899, 138240, 138624, 139281, 139962, 139967, 139969, 141384, 145273, 145314, 145345, 146419, 146497, 146520, 146556, 147348, 147419, 147469, 147519, 148176, 148239, 152352, 152946, 153664, 155277, 156226, 156241, 156315, 157369, 157452, 157464, 157469, 157731, 158466, 159941, 161047, 161058, 161435, 161587, 162976, 163680, 163840, 163855, 163974, 166369, 166381, 167281, 167783, 168259, 168274, 170471, 170569, 172224, 174652, 174682, 175104, 175360, 176371, 176400, 176435, 176457, 176463, 176465, 176466, 176469, 176472, 176475, 177147, 177152, 179200, 179205, 179335, 179475, 179739, 182367, 182650, 183347, 183674, 186564, 186569, 186619, 186631, 186644, 186653, 187246, 187272, 189225, 190269, 193945, 194245, 194471, 194481, 194489, 194967, 195318, 196548, 196581, 196625, 196734, 198472, 205381, 205419, 207391, 207634, 208537, 210681, 210743, 210753, 213437, 214369, 214775.

Some larger examples :