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Lehmer n.  and  sphenic n.

First numbers that belong to both sets:

255, 435, 561, 595, 1105, 1615, 1695, 1729, 2091, 2431, 2465, 2821, 2955, 3145, 3367, 3655, 3855, 4795, 4921, 5083, 5151, 5551, 6205, 6601, 6643, 6735, 8245, 8481, 8695, 8827, 8911, 8995, 9061, 9139, 9265, 9367, 9605, 9709, 9919, 10585, 10795, 11155, 12801, 12901, 13107, 13651, 13741, 13855, 13981, 14497, 14833, 14911, 15051, 15181, 15211, 15841, 16405, 16471, 16705, 16745, 17563, 17733, 18031, 18745, 18907, 19345, 19669, 20451, 20595, 21679, 21845, 21931, 22321, 22359, 23959, 24415, 24661, 25123, 25669, 26335, 26467, 26923, 27511, 28231, 28645, 29341, 30481, 30583, 30889, 31171, 31611, 32215, 32691, 34441, 35113, 35371, 36091, 36499, 36751, 36805, 38165, 39091, 39403, 39491, 40261, 41245, 41395, 41881, 42217, 43165, 44317, 45551, 45991, 46657, 47055, 47545, 47671, 49045, 49231, 49567, 49987, 50881, 51319, 52429, 52507, 52633, 52801, 53131, 54223, 54691, 54741, 55471, 55537, 55651, 55699, 56551, 56797, 57205, 57589, 59641, 63631, 64201, 64345, 64771, 65365, 67771, 68101, 68191, 68341, 68619, 69231, 69601, 69751, 69979, 71905, 72535, 72631, 73555, 73801, 74011, 74665, 75055, 76627, 76741, 76921, 77161, 77871, 78013, 78403, 80971, 81631, 81651, 82411, 83011, 83293, 83665, 83731, 85591, 85765, 87061, 87123, 88561, 88621, 91001, 92053, 92491, 92833, 92929, 93805, 93961, 94831, 96691, 98005, 98623, 99499, 101311, 102277, 103441, 104923, 105001, 106141, 106951, 108691, 109291, 110245, 110371, 110677, 112147, 113201, 113611, 114589, 115921, 116705, 117181, 118027, 120171, 120289, 121435, 122221, 123151, 124015, 124369, 124645, 125341, 126133, 126331, 126673, 126701, 128371, 130351, 131047, 132595, 132769, 134521, 134539, 135679, 136741, 136981, 137149, 137449, 138481, 139231, 140065, 140911, 141661, 142519, 145027, 147259, 147511, 149443, 151183, 151887, 153349, 154687, 156877, 159895, 160147, 161653, 162401, 163885, 163891, 164761, 167761, 168103, 168421, 171205, 171445, 172291, 172501, 173419, 176149, 180851, 182533, 183157, 184255, 184891, 186961, 187867, 189943, 190411.

Some larger examples :