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hoax n.  and  inconsummate n.

First numbers that belong to both sets:

84, 438, 476, 483, 516, 645, 650, 861, 1086, 1626, 2616, 2760, 2826, 2911, 3042, 3046, 3712, 3792, 3836, 3933, 4116, 4160, 4188, 4191, 4198, 4209, 4212, 4268, 4275, 4594, 4656, 4676, 4820, 4824, 4905, 4920, 4980, 5052, 5253, 5298, 5305, 5412, 5612, 6390, 6500, 6981, 7038, 7052, 7076, 7850, 8076, 8334, 8720, 8816, 8982, 9116, 9306, 9330, 9483, 10291, 10419, 10698, 10884, 10887, 10926, 12144, 13325, 13815, 14076, 14144, 14288, 14396, 14814, 14946, 15126, 15144, 15275, 15282, 15356, 15596, 15720, 16148, 16537, 16611, 17148, 17754, 17826, 18032, 18177, 18207, 19260, 19482, 19554, 20376, 20844, 21584, 22266, 22632, 22671, 23148, 24260, 24732, 24963, 25092, 25434, 25479, 25484, 25512, 25807, 25809, 25965, 26015, 26060, 26420, 26682, 26709, 27600, 28032, 28104, 28152, 28287, 28322, 28662, 29244, 29325, 29435, 29607, 29660, 29706, 29712, 29852, 30452, 30537, 30687, 30696, 30926, 30930, 30957, 31548, 32017, 32118, 32144, 32226, 32484, 32528, 32562, 32564, 32568, 32880, 33068, 33168, 33315, 33486, 33657, 33712, 33741, 33884, 34076, 34152, 34244, 34254, 34359, 34366, 34544, 34654, 34987, 35874, 35924, 35955, 36270, 36384, 36425, 36498, 36522, 36535, 36537, 36555, 36650, 36654, 36762, 36804, 36846, 36870, 36932, 37095, 37129, 37156, 37165, 37167, 37176, 37196, 37320, 37426, 37462, 37482, 37532, 37550, 37671, 37812, 37822, 38137, 38160, 38223, 38225, 38250, 38437, 38460, 38490, 38520, 38525, 38562, 38589, 38660, 39255, 39426, 39450, 39642, 39874, 40076, 40086, 40257, 40587, 40644, 40692, 40752, 40836, 40869, 40909, 41075, 41154, 41409, 41556, 41557, 41600, 41928, 41940, 42063, 42075, 42260, 42308, 42620, 42640, 42783, 42819, 42852, 42930, 42978, 43284, 43287, 43674, 43699, 43704, 43737, 43947, 44037, 44163, 44532, 44709, 44763, 44952, 45156, 45270, 45297, 45308, 45594, 45860, 45885, 45960, 45990, 46386, 46437, 46446, 46676, 46705, 46752, 47150, 47328, 47852, 47856, 48068.

Some larger examples :