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Moran n.  and  sphenic n.

First numbers that belong to both sets:

42, 114, 190, 195, 222, 266, 285, 370, 399, 402, 465, 518, 555, 645, 730, 777, 915, 1090, 1095, 1185, 1270, 1455, 1526, 1545, 1630, 1635, 1659, 1810, 1898, 1905, 2022, 2085, 2202, 2265, 2282, 2289, 2355, 2398, 2445, 2534, 2667, 2710, 2715, 2794, 2919, 3070, 3165, 3297, 3345, 3435, 3586, 3615, 3982, 4065, 4155, 4179, 4245, 4330, 4378, 4605, 4683, 4809, 5055, 5230, 5235, 5306, 5410, 5505, 5691, 5817, 5943, 5962, 6062, 6130, 6135, 6310, 6315, 6447, 6573, 6754, 6951, 7077, 7305, 7322, 7329, 7707, 7833, 7982, 8110, 8115, 8205, 8337, 8338, 8734, 8841, 9015, 9093, 9105, 9219, 9526, 9723, 9854, 10014, 10090, 10095, 10346, 10365, 10479, 10630, 10635, 10905, 10983, 11085, 11170, 11202, 11265, 11354, 11355, 11487, 11530, 11535, 11606, 11710, 11805, 11991, 12102, 12165, 12345, 12362, 12435, 12694, 12747, 12873, 13118, 13155, 13245, 13486, 13598, 13605, 13881, 13882, 14055, 14126, 14230, 14505, 15135, 15267, 15310, 15315, 15393, 15519, 15771, 15938, 16035, 16142, 16149, 16210, 16258, 16305, 16527, 16654, 17283, 17409, 17842, 17913, 18010, 18015, 18039, 18238, 18417, 18543, 19047, 19426, 19682, 20170, 20426, 20530, 20715, 20937, 21102, 21189, 21345, 21430, 21434, 21435, 21610, 21693, 21705, 21819, 22065, 22198, 22245, 22335, 22449, 22510, 22827, 22953, 22958, 23145, 23235, 23386, 23410, 23457, 23505, 23583, 23702, 23709, 23894, 24135, 24315, 24405, 24574, 24591, 25030, 25035, 25210, 25214, 25366, 25473, 25762, 25766, 25851, 26115, 26205, 26222, 26229, 27015, 27237, 27363, 27638, 27741, 28005, 28138, 28534, 30165, 30254, 30255, 30387, 30435, 30506, 30610, 30639, 30891, 31002, 31245, 31269, 31335, 31514, 32018, 32055, 32098, 32145, 32415, 32529, 32907, 33045, 33130, 33159, 33310, 33315, 33537, 33682, 34035, 34078, 34167, 34215, 34305, 34474, 34923, 35042, 35049, 35110, 35115, 35205, 35553, 35662, 36183, 36302, 36454, 36561.

Some larger examples :