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sphenic n.  and  vampire n.

First numbers that belong to both sets:

1435, 110758, 131242, 156289, 193945, 226498, 304717, 341653, 378418, 392566, 10371649, 11286193, 11306857, 11369533, 11420923, 11575435, 11697835, 11728786, 11790166, 11833645, 11867467, 11883613, 11976178, 12142597, 12383059, 12439129, 12578449, 12608743, 12735895, 12965035, 13426897, 13494793, 13568215, 13571869, 13596871, 13630783, 13764397, 13918621, 14157265, 14179333, 14342017, 14397718, 14417923, 14452879, 14976913, 15230965, 15283462, 15302659, 15662362, 15862063, 15935278, 16429531, 16820005, 17322538, 17524354, 17834593, 17968243, 18257926, 18453595, 18660262, 18799762, 19534954, 19704694, 19736257, 20071867, 20137594, 20180569, 20377498, 20458435, 20741935, 20769853, 21025939, 21348571, 21518167, 21595387, 21622837, 21633979, 21704359, 21736615, 21887014, 22154899, 22395613, 22473526, 22541674, 23476162, 23524141, 23549485, 23754361, 23765395, 23862145, 23936566, 24169459, 24995551, 25289473, 26491765, 28305319, 28885135, 29237017, 30976213, 31058554, 31646794, 31694935, 31742518, 31750879, 31828081, 31886023, 33518299, 33649897, 33674971, 33918394, 34165786, 34536226, 34615642, 35186359, 36392557, 36788431, 36852997, 37021657, 37589611, 37598017, 37679413, 38182945, 38978374, 40495198, 40774369, 41279269, 41777257, 42941173, 43096117, 45273226, 45373126, 46364998, 47099533, 47508619, 47566129, 47843518, 47879365, 48761158, 48986005, 49191853, 49337617, 51975634, 52173994, 52863313, 54339862, 54369715, 54667318, 55896817, 56463718, 58212967, 60197719, 61583278, 61874095, 61992265, 62787919, 63419917, 64287985, 68399239, 71268799, 78447289, 79381741, 79866922, 80198779, 83119297.